lecture 2 -- matlab introduction and graphics - home | em labemlab.utep.edu/ee5390fdtd/lecture 2 --...

5302017

1

Lecture 2 Slide 1

EE 5303

Electromagnetic Analysis Using Finite‐Difference Time‐Domain

Lecture 2

MATLAB Introduction and Graphics

Lecture Outline

Lecture 2 Slide 2

bull MATLAB

bull Figures and handles

bull 1D plots

bull 2D graphics

bull Creating movies in MATLAB

bull String manipulation and text files

bull Helpful tidbits

bull Supplemental software

This lecture is NOT intended to teach the basics of MATLAB Instead it is intended to summarize specific skills required for this course to a student already familiar with MATLAB basics and programming

5302017

2

Lecture 2 Slide 3

MATLAB

Key MATLAB Concepts to Learn

Lecture 2 Slide 4

bull MATLAB interface

ndash Editor window vs command window

ndash Figure windows

bull MATLAB programming

ndash Scripts vs functions

ndash Variables and arrays

ndash Generating and manipulating arrays

ndash Basic commands for while if switch

ndash Basic graphics commands figure plot

5302017

3

Lecture 2 Slide 5

MATLAB Interface

MATLAB has three main components (1) command window (2) m‐file editor and (3) SimulinkWe will not use Simulink so we are only concerned withhellip

The command window is like a DOS prompt It can be used like a calculator here and you can also run programs you have written

The editor window lets you write edit and troubleshoot MATLAB programs

Lecture 2 Slide 6

My Preferred Dual‐Monitor Setup

On one monitor has my command and editor windows

I create full‐screen figure window on a second monitor for graphics and visualizations

This way I can see all the information at the same time

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Lecture 2 Slide 7

Scripts Vs Functions

Script FilesInstead of typing all the commands at the command prompt you can type them into a text file and then run the code when you are done MATLAB behaves just like you typed the commands at the command prompt but scripts let you go back and edit what you have done

bull Script files share memory and variables with the command windowbull Unless you know better script files must be initializedbull Variables are easily accessed at the command prompt for troubleshooting

FunctionsPrograms can be written into functions so that they have defined inputs and outputs like the function y = cos(x) These do not share memory or variables with anything else except for what is defined at input or output

bull Functions do not share memory or variables with the command windowbull As far as the function knows memory is cleared when it is called except for the input

variablesbull You cannot access variables inside functions for troubleshootingbull Do not overwrite input arguments

File Names

bull File names cannot contain spaces

double matrixm should be double_matrixm

bull Functions are called by their filename not the name given in the code It is best practice to save the file with the same name as the given function name in the code

function y = dumbfunc(x) should be named dumbfuncm

Lecture 2 Slide 8

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Lecture 2 Slide 9

How to Learn MATLAB

Tutorialsbull Search the internet for different tutorials

Be sure you know and can implement everything in this lecture

Practice Practice Practice

For Help in MATLAB

Lecture 2 Slide 10

bull The Mathworks website is very good

ndash httpwwwmathworkscomhelpmatlabindexhtml

bull Help at the command prompt

ndash ldquogtgt help commandrdquo

bull Dr Rumpfrsquos helpdesk

ndash rcrumpfutepedu

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Lecture 2 Slide 11

Figures and Handles

Lecture 2 Slide 12

Graphics Handles

Every graphical entity in MATLAB has a handle associated with it This handle points to all their properties and attributes which can be changed at any time after the graphical entity is generated

h = figureh = plot(xy)h = line(xy)h = text(xyhello)h = imagesc(xyF)h = pcolor(xyF)h = surf(xyF)

Here h is the handle returned by these graphics calls

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Lecture 2 Slide 13

The Figure Window

All graphics are drawn to the active figure window There can be more than one

fig1 = figurefig2 = figure

figure(fig1)plot(x1y1)

figure(fig2)plot(x2y2) This code opens two figure windows with

handles fig1 and fig2 It then plots x1 vs y1 in the first figure window and x2 vs y2 in the second figure window It is possible to then go back to fig1 and anything else

Lecture 2 Slide 14

Investigating Graphics Properties (1 of 2)

To see all the properties associated with a graphics entity and their current values type get(h) at the command prompt

gtgt fig1 = figuregtgt get(fig1)

Alphamap = [ (1 by 64) double array]CloseRequestFcn = closereqColor = [08 08 08]Visible = on

To get the value of a single property

gtgt c = get(fig1Color)gtgt c

c =

08000 08000 08000

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8

Lecture 2 Slide 15


To see all the properties associated with a graphics entity and their possible values type set(h) at the command prompt

gtgt fig1 = figuregtgt set(fig1)

DockControls [ on | off ]IntegerHandle [ on | off ]InvertHardcopy [ on | off ]Visible [ on | off ]

The set() command is what is used to change graphics properties

gtgt set(fig1Colorr)

Lecture 2 Slide 16

Changing the Background Color

gtgt c = [10 08 00]gtgt set(fig1Colorc)

I almost exclusively use white as the background so that it is easier to paste the graphics in a paperpublication that has a white background


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Lecture 2 Slide 17

Changing the Figure Name

gtgt fig1 = figure(Colorw)

gtgt set(fig1NameFDTD Analysis)

gtgt set(fig1NumberTitleoff)

Lecture 2 Slide 18

Changing the Figure Position

gtgt fig1 = figure(ColorwPosition[371 488 560 420])gtgt fig2 = figure(ColorwPosition[494 87 560 420])

[left bottom width height]

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Lecture 2 Slide 19

Full Screen Figure Window

gtgt fig1 = figure

Step 1 Open a figure window

Step 2 Maximize figure window

click here

Step 3 Use get(fig1) to copy figure position

gtgt get(fig1)hellipPosition = [1 41 1680 940]hellip

copy this

Step 4 Paste into command in code

fig1 = figure(ColorwhellipPosition[1 41 1680 940])

Lecture 2 Slide 20

Auto Full Screen Window

figure(unitsnormalizedouterposition[0 0 1 1])

Using ldquonormalized unitsrdquo we can easily open a figure window to be full screen

We can do the same to open a full screen window on a second monitor


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Lecture 2 Slide 21

How I Like to Arrange My Windows

Editor Window Command Window Graphics Window

Lecture 2 Slide 22

MATLAB Setup for a Single Monitor

Editor Window

Command Window

Graphics Window

OPEN FIGURE WINDOW DOCKED WITH COMMAND WINDOWset(0DefaultFigureWindowStyledocked)figure(lsquoColorw)

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Lecture 2 Slide 23

Subplots

MATLAB can show more than one diagram in a single figure window

subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24

Non‐Uniform Partitioning

Figure windows can be partitioned non‐uniformly

x = linspace(-11100)y1 = xy2 = x^2y3 = exp(-x^2)

subplot(221)plot(xy1)


subplot(22[34])plot(xy3)

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Lecture 2 Slide 25

A Problem with Graphics Rendering

Some versions of MATLAB have a known problem with some ATI graphics devices

One solution is to switch to the OpenGL renderer by

This also makes graphics rendering much faster

opengl(lsquosoftwarersquo)

Lecture 2 Slide 26

1D Plots

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Lecture 2 Slide 27

The Default MATLAB Plot

x = linspace(-11100)y = x^2plot(xy)

Things I donrsquot likebullBackground doesnrsquot work wellbullLines are too thinbullFonts are too smallbullAxes are not labeled

Lecture 2 Slide 28

Revised Code for Better Plots

x = linspace(-11100)y = x^2

figure(Colorw)h = plot(xy-bLineWidth2)h2 = get(hParent)set(h2FontSize14LineWidth2)xlabel(x)ylabel(y Rotation0)title(BETTER PLOT)

Things I still donrsquot likebullUneven number of digits for axis tick labelsbullToo coarse tick marks along x axis

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Lecture 2 Slide 29

Improving the Tick Marking Plot Functionfig = figure(Colorwrsquo)h = plot(xy-bLineWidth2)

Set Graphics Viewh2 = get(hParent)set(h2FontSize14LineWidth2)xlabel(x)ylabel(y Rotation0)title(BETTER PLOT)

Set Tick Markingsxm = [-105+1]xt = for m = 1 length(xm)

xtm = num2str(xm(m)32f)endset(h2XTickxmXTickLabelxt)

ym = [001+1]yt = for m = 1 length(ym)

ytm = num2str(ym(m)21f)endset(h2YTickymYTickLabelyt)

Lecture 2 Slide 30

Setting the Axis Limits

plot(xy-bLineWidth2)

axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])

Sometimes MATLAB will generate plots with strange axis limits Never depend on the MATLAB defaults for the axis limits

axis([x1 x2 y1 y2])

xlim([x1 x2])ylim([y1 y2])

Does th

e same th

ing

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16

Lecture 2 Slide 31

Annotating the Plot Plot Functionfig = figure(Colorwrsquo)h = plot(xy-bLineWidth2)






Label Minimumtext(-07506Cool CurveColorbHorizontalAlignmentleft)text(0003minColorbHorizontalAlignmentcenter)

Lecture 2 Slide 32

Advanced Labels

Subscripts

xlabel(123x_123)xlabel(123x_123)

Superscripts

xlabel(123x^123)xlabel(123x^123)

Special Symbols

TEX markup

LATEX markup

For more information see httpwwwmathworkscomhelptechdoccreating_plotsf0‐4741htmlf0‐28104

xlabel(lsquox (mum))

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17

Lecture 2 Slide 33

Common TeX Symbols

For more informationhttpwwwmathjhuedu~shiffman370helptechdocreftext_propshtml

Lecture 2 Slide 34

LaTeX in MATLAB

Instead of regular text MATLAB can interpret LaTeX

plot(xy)line([22][02^2sin(2)])str = $$ int_0^2 x^2sin(x) dx $$text(02525strInterpreterlatex)

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Lecture 2 Slide 35

Superimposed Plots Calculate Functionsx = linspace(-11100)y1 = x^1y2 = x^2y3 = x^3

Plot Functionsfig = figure(Colorlsquowrsquo)plot(xy1-rLineWidth2)hold onplot(xy2-gLineWidth2)plot(xy3-bLineWidth2)hold off

Add Legendlegend(xx^2x^3hellip

LocationlsquoSouthEast)

Lecture 2 Slide 36

Showing Where the Data Points Are

Calculate Functionx = linspace(-1110)y = x^2

Plot Functionfig = figure(Colorwrsquo)plot(xyo-rLineWidth2)

This should be standard practice when displaying measured data or whenever only sparse data has been obtained If at all feasible avoid sparse data

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19

Lecture 2 Slide 37

Labeling Plots with LaTex

Ordinary Axis Labelsbull Improper formatting of math functions and variables

bull Less professional

LaTex Axis Labelsbull Proper formatting of math functions and variables

bull More professional

xlabel(Argument x)ylabel(sin(x))title(Plot of Function sin(x) 0ltxlt2pi)

xlabel($ textrmArgument x $InterpreterLaTexFontSize16)

ylabel($ textrmsin(x) $InterpreterLaTexFontSize16)

title($ textrmPlot of Function sin(x) textrm 0 leq x leq 2pi $InterpreterLaTexFontSize18)

Lecture 2 Slide 38

2D Graphics

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Lecture 2 Slide 39

imagesc() (1 of 3)

The imagesc() command displays a 2D array of data as an image to the screen It automatically scales the coloring to match the scale of the data

xa = linspace(-2250)ya = linspace(-1125)[YX] = meshgrid(yaxa)

D = X^2 + Y^2imagesc(xayaDrsquo)

I use this function to display ldquodigital looking rdquo data from arrays

Lecture 2 Slide 40

imagesc() (2 of 3)

Scaling can be off Use the axis command to correct this


D = X^2 + Y^2imagesc(xayaD)axis equal tight

No axis command axis equal tightaxis equal

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Lecture 2 Slide 41

imagesc() (3 of 3)

Notice the orientation of the vertical axis using imagesc() MATLAB assumes it is drawing a matrix so the numbers increase going downward

imagesc(xayaD) h = imagesc(xayaD)h2 = get(hParent)set(h2YDirnormal)

Lecture 2 Slide 42

pcolor() (1 of 3)

pcolor() is like imagesc() but is better for displaying functions and smooth data because it has more options for this


D = X^2 + Y^2pcolor(xayaD)

axis equal tight

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Lecture 2 Slide 43

pcolor() (2 of 3)

Here are the main options for shading


D = X^2 + Y^2pcolor(xayaD)shading interpaxis equal tight

shading flatshading faceted shading interp

Lecture 2 Slide 44

pcolor() (3 of 3)

CAUTION When large arrays are visualized and faceted shading is selected (it is default) your image will appear completely black

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Lecture 2 Slide 45

imagesc() vs pcolor()

A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)

surf() is like pcolor() but shows a 3D representation


D = X^2 + Y^2surf(xayaD)



axis equal tightshading interp

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Lecture 2 Slide 47

surf() (2 of 2)

The surf() command generates a 3D entity so it has all the properties and features of a 3D graph I recommend orbiting to find the best view as well as playing with the lighting




camlight lighting phongview(2545)

view(azel)

Lecture 2 Slide 48

Plotting Complex Functions

Suppose we wish to plot a complex function F(xy) MATLAB wonrsquot let us plot a complex function so we are forced to plot only the real part imaginary part magnitude phase etc

Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)

Caution expect crazy results when your plotted function is a constant

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25

Lecture 2 Slide 49

Colormaps

MATLAB gives you many options for colormaps

lsquojetrsquo is the default in 2014a and older versions of MATLAB

Use lsquograyrsquo for black and white printouts

colormap(lsquograyrsquo)

Lecture 2 Slide 50

Obtaining Smoother Color Shading

Colormaps define a range of colors but contain only discrete color levels

Smoother colors are obtained by using more color levels

64 levels is the default

colormap(jet(24)) colormap(jet(1024))

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Lecture 2 Slide 51

Simple Colormaps for NegativePositive

colormap(gray)colormap(lsquojet) DEFINE CUSTOM COLORMAPCMAP = zeros(2563)c1 = [0 0 1] bluec2 = [1 1 1] whitec3 = [1 0 0] redfor nc = 1 128

f = (nc - 1)128c = (1 - sqrt(f))c1 + sqrt(f)c2CMAP(nc) = cc = (1 - f^2)c2 + f^2c3CMAP(128+nc) = c

end

colormap(CMAP)

Lecture 2 Slide 52

Other Colormaps in MATLAB Central

Bipolar ColormapThis is an excellent colormap when the sign of information is important

CMR ColormapThis is a color colormap but also looks good when printed in grayscale

Jet in full color

Jet in full grayscale

CMR in full color

CMR in full grayscale

This colormap does not work when printed in grayscale

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Lecture 2 Slide 53

fill(xyc) (1 of 3)

You can fill a polygon using the fill(xyc) command

x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)

You can make circles too

phi = linspace(02pi20)x = cos(phi)y = sin(phi)fill(xyg)axis([-1 +1 -1 +1])axis equal

The more points you use the smoother your circle will look

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Lecture 2 Slide 55

fill(xyc) (3 of 3)

These polygons can be superimposed onto each other and onto other graphical entitites using the hold command

sigma = 02x = linspace(-111000)y = exp(-(xsigma)^2)

xx = (1sigma) [ -1 1 1 -1 -1 ]yy = [ 0 0 1 1 0 ]fill(xxyyg)

hold onplot(xy-bLineWidth2)hold off

text(11sigma1exp(1)sigma)

axis equal tight off

Lecture 2 Slide 56

line(xy)

The line() command behaves like fill() but only draws a single line



hold onplot(xy-bLineWidth2)

xx = [sigma 05]yy = [1exp(1) 05]line(xxyyColork)

hold off

text(0505sigma)


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Lecture 2 Slide 57

Annotation Arrows

annotation(arrowX[03205]Y[0604])

General Tips for Good Graphics

bull Ensure lines are thick enough to be easily seen but not too thick to be awkward

bull Ensure fonts are large enough to be easily read but not too large to be awkward

bull All axes should be properly labeled with unitsbull Figures should be made as small as possible so that everything is still easily observed and pleasing to the eye

bull Provide labels andor legends to identify everything in the figure

bull It is sometimes good practice to not include much formatting for graphics that will be updated many times during the execution of a code

Lecture 2 Slide 58

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Lecture 2 Slide 59

Creating Movieswith MATLAB

Lecture 2 Slide 60

Basic Flow of Movie Code

Step 1 Open the Movie

Step 2 Add frames to the movie

Step 3 Close the movie

movie_name = dumb_moviemp4vidObj = VideoWriter(movie_namersquoMPEG-4rsquo)open(vidObj)

Draw Frameclfhellipdrawnow

Add Frame to AVIF = getframe(fig)writeVideo(vidObjF)

close(vidObj)

This is repeated over however many frames you wish to add to the movie

There is a MATLAB bug where you may have to replace clf with close all

5302017

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Lecture 2 Slide 61

getframe() command

You can capture the entire figure window to include all the subplotsF = getframe(fig)

or

F = getframe(gcf)

Or you can capture a specific subplot onlysubplot()F = getframe(gca)

Aside 1 You can capture a frame and convert it to an imageF = getframe(fig)B = frame2im(F)imwrite(Brsquodumb_picjpgrsquorsquoJPEGrsquo)

Aside 2 You can load an image from file and add it as a frameB = imread(lsquodumb_picjpgrsquorsquoJPEGrsquo)F = im2frame(B)writeVideo(vidObjF)

Note you can only capture frames from Monitor 1

Lecture 2 Slide 62

Trick Be Able to ldquoTurn Offrdquo Movie Making

Often times you will need to play with your code to fix problems or tweak the graphics in your frames

It is best to be creating a movie as you tweak your code and graphics

Add a feature to your code to turn the movie making on or off

MAKE_MOVIE = 0movie_name = lsquomymoviemp4

INITIALIZE MOVIEif MAKE_MOVIE

vidObj = VideoWriter(movie_namersquoMPEG-4rsquo)open(vidObj)

end

CREATE FRAMESfor nframe = 1 NFRAMES

Draw Framehellip

Add Frame to AVIif MAKE_MOVIE

F = getframe(fig)writeVideo(vidObjF)

endend

CLOSE THE MOVIEif MAKE_MOVIE

close(vidObj)end

5302017

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Lecture 2 Slide 63

Adjusting the Movie Parameters

It is possible to adjust properties of the video including quality frame rate video format etc


vidObj = VideoWriter(movie_name)

vidObjFrameRate = 20vidObjQuality = 75

open(vidObj)end

Parameters must be set after the video object is created and before it is opened

Type gtgt help VideoWriter at the command prompt to see a full list of options for videos

Lecture 2 Slide 64

Making Animated GIFs

MAKE_GIF = 0gif_name = lsquomygifgifdt = 0


Draw Framehellip

Add Frame to GIFif MAKE_GIF

pause(05)F = getframe(gca)F = frame2im(F)[indcmap] = rgb2ind(F256nodither)if nframe == 1

imwrite(indcmapgif_namegifDelayTimedtLoopcountinf)else

imwrite(indcmapgif_namegifDelayTimedtWriteModeappend)end

endend

Example GIF

5302017

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Lecture 2 Slide 65

String Manipulation and Text Files

Lecture 2 66

Parsing Strings

A line of text can be parsed into separate words using sscanf()

S = Hello ClassT = sscanf(Ss s)

T =HelloClass


T =Class

You can also extract numbers from a string using sscanf()

S = I am 25 years old and 6 feet tallN = sscanf(Ss s f s s s f s s)

N =256

skip string

5302017

34

Lecture 2 67

Checking for Specific Words in Strings (1 of 3)

You can perform an exact comparison between two strings using strcmp()

s1 = cats2 = dogc = strcmp(s1s2)

c =0

s1 = cats2 = Catc = strcmp(s1s2)

c =0

s1 = cats2 = catc = strcmp(s1s2)

c =1

Lecture 2 68


You can do the same camparison but case insensitive using strcmpi()

s1 = cats2 = dogc = strcmpi(s1s2)

c =0

s1 = cats2 = Catc = strcmpi(s1s2)

c =1

s1 = cats2 = catc = strcmpi(s1s2)

c =1

5302017

35

Lecture 2 69


You can find the occurrence of one string inside another using strfind()

s1 = University of Texas at El Pasos2 = Hawaiiind = strfind(s1s2)

ind =15

s1 = University of Texas at El Pasos2 = Texasind = strfind(s1s2)

ind =[]

Lecture 2 70

Converting Between Strings and Numbers

You can convert a string to a number using str2num()

S = 534N = str2num(S)

N =534

S = 274E-10N = str2num(S)

N =274E-10

Similarly you can convert numbers to strings using num2str()

N = 1234S = num2str(N)

S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

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Lecture 2 71

Opening and Closing Files

A file is opened in MATLAB as read‐only with the following command

OPEN ASCII STL FILEfid = fopen(lsquopyramidSTLrsquor) rsquorrsquo is read-only for safetyif fid==-1

error(Error opening file)end

A file is closed in MATLAB with the following command

CLOSE FILEfclose(fid)

Open and closing the file is always the first and last thing you doWARNING Always close open files

Use lsquowrsquo to write files

Lecture 2 72

Reading a Line from the Text File

A line of text is read from the text file using the following command

READ A LINE OF TEXTL = fgetl(fid)

You can read and display an entire text file with the following code

READ AND DISPLAY AN ENTIRE TEXT FILEwhile feof(fid)==0

Get Next Line from FileL = fgetl(fid)

Display the Line of Textdisp(L)

end

5302017

37

Lecture 2 73

Writing a Line to the Text File

A line of text is written to the text file using fprintf()

WRITE A LINE OF TEXTfprintf(fidrsquosolid pyramidrnrsquo)

Write Facet Normal to FileN = [ 1234567 6876543 1592745 ]L = facet normal 86f 86f 86frnfprintf(fidLN)

Numbers can also be written to the file

This writes ldquosolid pyramidrdquo to the file followed by carriage line return

This writes ldquo facet normal 1234567e0 6876543e1 1592745e0rdquo to the file followed by carriage line return

Lecture 2 74

ANSI Formatting ‐‐ Summary

ESCAPE CHARACTERS

For most cases n is sufficient for a single line breakHowever if you are creating a file for use with MicrosoftNotepad specify a combination of rn to move to a new line

CONVERSION CHARACTERS

Value Type Conversion Details

Integer signed d or i Base 10 values

Integer unsigned u Base 10

Floating‐point number f Fixed‐point notation

e Exponential notation such as 3141593e+00

E Same as e but uppercase such as 3141593E+00

g The more compact of e or f with no trailing zeros

G The more compact of E or f with no trailing zeros

Characters c Single character

s String of characters

5302017

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Lecture 2 75

ANSI Formatting ndash Conversion Characters

Lecture 2 76

ANSI Formatting ndash Flags

Action Flag Example

Left‐justify ndash -52f

Print sign character (+ or ndash) + +52f

Insert a space before the value 52f

Pad with zeros 0 052f

Modify selected numeric conversionsbull For o x or X print 0 0x or

0X prefixbull For f e or E print decimal

point even when precision is 0bull For g or G do not remove

trailing zeros or decimal point

50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB

I like to initialize MATLAB this wayhellip

INITIALIZE MATLABclose all closes all figure windowsclc erases command windowclear all clears all variables from memory

5302017

40

Lecture 2 Slide 79

Initializing Arrays

A 10times10 array can be initialized to all zeros A = zeros(1010)

A 10times10 array can be initialized to all ones A = ones(1010)

A 10times10 array can be initialized to all random numbersA = rand(1010)

Numbers can also be put in manually Commas separate numbers along a row while semicolons separate columns

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command

The break command isused to break out of a for or while loop but execution continues after the loop

Note to stop execution of a program use the return command

a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()

Be careful the log() command is the natural logarithm

log(2) ln 2 06931

ans =06931

gtgt

The base‐10 logarithm is log10()

log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command

The find() command is used to find the array indices of specific values in an array Examples for 1D arrays are

A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt

This command also works for multi‐dimensional arrays

5302017

42

Lecture 2 Slide 83

rsquo vs rsquoThe apostrophe lsquo operator performs a complex transpose (Hermitian) operation

A standard transpose is performed by a dot‐apostrophe operator rsquo

A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84

interp1() Command GRIDxa1 = linspace(-1121)xa2 = linspace(-11250)

FUNCTIONf1 = exp(-xa1^202^2)

INTERPOLATEf2 = interp1(xa1f1xa2cubic)

plot(xa2f2b) hold onplot(xa1f1o-r) hold off

GRIDxa1 = linspace(-1121)xa2 = linspace(-11250)


INTERPOLATEf2 = interp1(xa1f1xa2)


5302017

43

Lecture 2 Slide 85

interp2() Command

USE INTERP2ER2 = interp2(yaxaERya2xa2)

Lecture 2 Slide 86

interp3() Command

USE INTERP3ER2 = interp3(yaxazaERya2xa2za2linear)

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Lecture 2 Slide 87

Timing Code

Method 1 tic amp toc

START TIMERtic

CODE TO MEASUREhellip

START TIMERtoc

The time will be reported at the command prompt

Elapsed time is 0127685 secondsgtgt

You cannot nest tictoc statements

Method 2 etime amp clock

START TIMERt1 = clock


START TIMERt2 = clockt = etime(t2t1)disp([Elapsed time is num2str(t) hellip

seconds])

You must manually report the time


These commands can be nested

Lecture 2 Slide 88

FFT and FFTSHIFT

CALCULATE DATAf = [ zeros(1500) ones(1100) zeros(1500) ]F1 = fft(f)length(f)F2 = fftshift(F1)

f

F1

F2fftshift() centers your spectrum

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Lecture 2 Slide 89

Drawing Lines Across Busy Backgrounds

Light lines are not visible against light backgrounds

line(xyColorwLineWidth3)

Dark lines are not visible against dark backgrounds

line(xyColorlsquokLineWidth3)

A solutionhellip

Plot the same line twice to give it an outline

line(xyColorwLineWidth6)line(xyColorkLineWidth3)

Lecture 2 Slide 90

Text Strings with Numbers

You can convert numbers to text strings using the num2str() function in MATLAB

It is possible to construct text strings with numbers within the string

gtgt num2str(32456)ans =32456

gtgt num2str(3245674f)ans =324560

gtgt [There are num2str(12) eggs in a dozen]ans =There are 12 eggs in a dozen

In FDTD it is sometimes helpful to report the iteration information in the title of a figure

title([FIELD AT STEP num2str(T) OF num2str(STEPS)])

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Lecture 2 Slide 91

The parfor loop is perhaps the easiest way to parallelize your code

Before you can use the parfor loop you must initialize your processors This code must be placed at the start of your MATLAB program

INITIALIZE PARALLEL PROCESSINGif isempty(gcp)

pool = parpoolend

The parfor loop is used exactly like a regular for loop but the code inside the for loop is sent out to your different processors

parfor

PERFORM PARALLEL PROCESSINGparfor m = 1 M

hellipend

WARNING The code inside your loop must not depend on the results from any other iterations of the loop They must be completely independent

Lecture 2 Slide 92

Supplemental Software

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Lecture 2 Slide 93

Software for Annotating and Manipulating Technical Drawings

For Editing Photographs and Images

The BestAdobe Photoshop

Open Source AlternativeGIMP

For Annotating Technical Drawings

The BestAdobe Illustrator

Open Source AlternativeInkscape

Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 Slide 3

MATLAB

Key MATLAB Concepts to Learn

Lecture 2 Slide 4

bull MATLAB interface

ndash Editor window vs command window

ndash Figure windows

bull MATLAB programming

ndash Scripts vs functions

ndash Variables and arrays

ndash Generating and manipulating arrays

ndash Basic commands for while if switch

ndash Basic graphics commands figure plot

5302017

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Lecture 2 Slide 5

MATLAB Interface




Lecture 2 Slide 6





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Lecture 2 Slide 7







File Names





Lecture 2 Slide 8

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Lecture 2 Slide 9

How to Learn MATLAB




For Help in MATLAB

Lecture 2 Slide 10







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Lecture 2 Slide 11

Figures and Handles

Lecture 2 Slide 12

Graphics Handles




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Lecture 2 Slide 13

The Figure Window






Lecture 2 Slide 14







c =

08000 08000 08000

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Lecture 2 Slide 15







Lecture 2 Slide 16





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Lecture 2 Slide 17





Lecture 2 Slide 18




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Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






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Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


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Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







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Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

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Lecture 2 Slide 27




Lecture 2 Slide 28





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Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

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Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

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Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



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Lecture 2 Slide 35





Lecture 2 Slide 36





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Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

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Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





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Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

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Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


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Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







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Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


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Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






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Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



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Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


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Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

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Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



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Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

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Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

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Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

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Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

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Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

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Lecture 2 71









Lecture 2 72








end

5302017

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Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

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Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

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Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

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Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

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Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 Slide 5

MATLAB Interface




Lecture 2 Slide 6





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Lecture 2 Slide 7







File Names





Lecture 2 Slide 8

5302017

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Lecture 2 Slide 9

How to Learn MATLAB




For Help in MATLAB

Lecture 2 Slide 10







5302017

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Lecture 2 Slide 11

Figures and Handles

Lecture 2 Slide 12

Graphics Handles




5302017

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Lecture 2 Slide 13

The Figure Window






Lecture 2 Slide 14







c =

08000 08000 08000

5302017

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Lecture 2 Slide 15







Lecture 2 Slide 16





5302017

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Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

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Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

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Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

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Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







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Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

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Lecture 2 Slide 27




Lecture 2 Slide 28





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Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

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Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

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Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

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Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

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Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

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Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





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Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

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Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


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Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







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Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


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Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

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Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

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Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

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Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

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Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

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Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

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Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

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Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

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Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

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Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

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Lecture 2 71









Lecture 2 72








end

5302017

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Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

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Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

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Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

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Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 7







File Names





Lecture 2 Slide 8

5302017

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Lecture 2 Slide 9

How to Learn MATLAB




For Help in MATLAB

Lecture 2 Slide 10







5302017

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Lecture 2 Slide 11

Figures and Handles

Lecture 2 Slide 12

Graphics Handles




5302017

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Lecture 2 Slide 13

The Figure Window






Lecture 2 Slide 14







c =

08000 08000 08000

5302017

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Lecture 2 Slide 15







Lecture 2 Slide 16





5302017

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Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

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Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

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Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

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Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

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Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

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Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

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Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

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Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

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Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

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Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

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Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

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Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

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Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

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Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

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Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

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Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


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Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

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Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

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Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

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Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

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Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

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Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

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Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

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Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

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Lecture 2 71









Lecture 2 72








end

5302017

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Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

5

Lecture 2 Slide 9

How to Learn MATLAB




For Help in MATLAB

Lecture 2 Slide 10







5302017

6

Lecture 2 Slide 11

Figures and Handles

Lecture 2 Slide 12

Graphics Handles




5302017

7

Lecture 2 Slide 13

The Figure Window






Lecture 2 Slide 14







c =

08000 08000 08000

5302017

8

Lecture 2 Slide 15







Lecture 2 Slide 16





5302017

9

Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

10

Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

6

Lecture 2 Slide 11

Figures and Handles

Lecture 2 Slide 12

Graphics Handles




5302017

7

Lecture 2 Slide 13

The Figure Window






Lecture 2 Slide 14







c =

08000 08000 08000

5302017

8

Lecture 2 Slide 15







Lecture 2 Slide 16





5302017

9

Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

10

Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

7

Lecture 2 Slide 13

The Figure Window






Lecture 2 Slide 14







c =

08000 08000 08000

5302017

8

Lecture 2 Slide 15







Lecture 2 Slide 16





5302017

9

Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

10

Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

8

Lecture 2 Slide 15







Lecture 2 Slide 16





5302017

9

Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

10

Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

9

Lecture 2 Slide 17





Lecture 2 Slide 18




5302017

10

Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

10

Lecture 2 Slide 19


gtgt fig1 = figure



click here



copy this



Lecture 2 Slide 20






5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

11

Lecture 2 Slide 21



Lecture 2 Slide 22


Editor Window

Command Window

Graphics Window


5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

12

Lecture 2 Slide 23

Subplots


subplot(MNp)

1 2 3

4 5 6

2 rows3 columns

subplot(235)

Lecture 2 Slide 24







5302017

13

Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 25






Lecture 2 Slide 26

1D Plots

5302017

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Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

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Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

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Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

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Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

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Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

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Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

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Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

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Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

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Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

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Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

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Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

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Lecture 2 71









Lecture 2 72








end

5302017

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Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

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Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

14

Lecture 2 Slide 27




Lecture 2 Slide 28





5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

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Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

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Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

15

Lecture 2 Slide 29







Lecture 2 Slide 30



axis([-2 2 -05 15])

xlim([-2 2])ylim([-05 15])


axis([x1 x2 y1 y2])


Does th

e same th

ing

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

16

Lecture 2 Slide 31








Lecture 2 Slide 32

Advanced Labels

Subscripts


Superscripts


Special Symbols

TEX markup

LATEX markup



5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

17

Lecture 2 Slide 33

Common TeX Symbols


Lecture 2 Slide 34

LaTeX in MATLAB



5302017

18

Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 35





Lecture 2 Slide 36





5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

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Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

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Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

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Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

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Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

19

Lecture 2 Slide 37










Lecture 2 Slide 38

2D Graphics

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

20

Lecture 2 Slide 39

imagesc() (1 of 3)





Lecture 2 Slide 40

imagesc() (2 of 3)





5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

21

Lecture 2 Slide 41

imagesc() (3 of 3)



Lecture 2 Slide 42

pcolor() (1 of 3)




axis equal tight

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

22

Lecture 2 Slide 43

pcolor() (2 of 3)





Lecture 2 Slide 44

pcolor() (3 of 3)


5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

23

Lecture 2 Slide 45


A = [ 1 2 3 4 5 6 7 8 9]

Lecture 2 Slide 46

surf() (1 of 2)







5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

24

Lecture 2 Slide 47

surf() (2 of 2)






view(azel)

Lecture 2 Slide 48



Re F x y Im F x y

F x y F x y

real(F) imag(F)

abs(F) angle(F)


5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

25

Lecture 2 Slide 49

Colormaps





Lecture 2 Slide 50






5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

26

Lecture 2 Slide 51




end

colormap(CMAP)

Lecture 2 Slide 52




Jet in full color


CMR in full color



5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

27

Lecture 2 Slide 53

fill(xyc) (1 of 3)


x = [ 0 1 1 0 0 ]y = [ 0 0 1 1 0 ]fill(xyr)axis([-05 15 -05 15])

1 2

34

x = [x1 x2 x3 x4 x1]y = [y1 y2 y3 y4 y1]

Lecture 2 Slide 54

fill(xyc) (2 of 3)




5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

28

Lecture 2 Slide 55

fill(xyc) (3 of 3)







Lecture 2 Slide 56

line(xy)






hold off

text(0505sigma)


5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

29

Lecture 2 Slide 57

Annotation Arrows








Lecture 2 Slide 58

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

30

Lecture 2 Slide 59


Lecture 2 Slide 60








close(vidObj)



5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

31

Lecture 2 Slide 61

getframe() command


or

F = getframe(gcf)





Lecture 2 Slide 62








end


Draw Framehellip



endend


close(vidObj)end

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

32

Lecture 2 Slide 63






open(vidObj)end



Lecture 2 Slide 64




Draw Framehellip





endend

Example GIF

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

33

Lecture 2 Slide 65


Lecture 2 66

Parsing Strings



T =HelloClass


T =Class



N =256

skip string

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

34

Lecture 2 67




c =0


c =0


c =1

Lecture 2 68




c =0


c =1


c =1

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



5302017

40

Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


5302017

42

Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









5302017

43

Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

35

Lecture 2 69




ind =15


ind =[]

Lecture 2 70




N =534


N =274E-10



S =1234

N = 123456789S = num2str(N)

S =12346

N = 123456789S = num2str(N16f)

S =1234568

5302017

36

Lecture 2 71









Lecture 2 72








end

5302017

37

Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













5302017

38

Lecture 2 75


Lecture 2 76


Action Flag Example









50f

5302017

39

Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

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Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


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Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 71









Lecture 2 72








end

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Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













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Lecture 2 75


Lecture 2 76


Action Flag Example









50f

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Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

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41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


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Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 73








Lecture 2 74


ESCAPE CHARACTERS













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Lecture 2 75


Lecture 2 76


Action Flag Example









50f

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Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

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41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


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Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 75


Lecture 2 76


Action Flag Example









50f

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Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

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41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


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45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 Slide 77

Helpful Tidbits

Lecture 2 Slide 78

Initializing MATLAB



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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 Slide 79

Initializing Arrays





A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

A = [ 1 2 3 4 5 6 7 8 9 ] A = [ 1 2 3 4 5 6 7 8 9 ]

Lecture 2 Slide 80

break Command



a = 1while 1

a = a + 1if a gt 5

breakend

enda

a =

6

gtgt

5302017

41

Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 81

log() Vs log10()


log(2) ln 2 06931

ans =06931

gtgt


log10(2) 10log 2 03010

ans =03010

gtgt

Lecture 2 Slide 82

find() Command


A = [ 02 04 01 06 ]ind = find(A==01)

A =02 04 01 06

ind =3

gtgt

A = [ 02 04 01 06 ]ind = find(Agt=04)

A =02 04 01 06

ind =2 4

gtgt


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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

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Lecture 2 Slide 83



A = [ 01+01i 02+02i hellip03-03i 04-04i ]

AA

A =01000 + 01000i 02000 + 02000i03000 - 03000i 04000 - 04000i

A =01000 - 01000i 03000 + 03000i02000 - 02000i 04000 + 04000i

A =01000 + 01000i 03000 - 03000i02000 + 02000i 04000 - 04000i

gtgt

Lecture 2 Slide 84









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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 85

interp2() Command


Lecture 2 Slide 86

interp3() Command


5302017

44

Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

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Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 87

Timing Code


START TIMERtic


START TIMERtoc








seconds])




Lecture 2 Slide 88

FFT and FFTSHIFT


f

F1


5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

45

Lecture 2 Slide 89






A solutionhellip



Lecture 2 Slide 90









5302017

46

Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

47

Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 91




pool = parpoolend


parfor


hellipend


Lecture 2 Slide 92


5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

5302017

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Lecture 2 Slide 93








Lecture 2 Slide 94

3D Graphics

Open SourceBlender

lecture 2 -- matlab introduction and graphics - home | em labemlab.utep.edu/ee5390fdtd/lecture 2 --...

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