development of spatial statistical model

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    DEVELOPMENT OF SPATIAL

    STATISTICAL MODELProject Members :

    Ashish Anant Nadkar5017Vivek Vilas Patil 5021Rishabh Shrenik Jain 4999Vikash Suresh Joshi 5001

    Under Guidance of :Internal Guide : Mrs. Dipali Sadavarti

    External Guide : Mr. Deepak Choksi (Bhugol GIS Pvt.Ltd.)

    FR. CONCEICAO RODRIGUES COLLEGE OF ENGINEERING

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    I T U TI

    A simple geostatistical application whichuses following core concepts

    GIS (Geographic Information Systems)Geostatistical Interpolation techniques

    2Bhugol GIS Pvt. Ltd. SI E IIT Bombay

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    PROBLEM T TEMEN T

    To convert the discrete spatial data samplesto continuous spatial data

    To estimate missing spatial data samplesusing the available samples in the proximity

    3B hugol GI P vt. L td. I NE IIT B ombay

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    HA NDL ING G I D AT A

    Vector Based G Io Basic units of spatial information are points, lines (arcs)

    and polygonso Features are defined by boundaries

    Raster Based G Io patial data expressed as matrix of cells or pixelso Each cell refers to smallest unit of info in raster map

    4Bhugol G I Pvt. L td. I N E IIT Bombay

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    HA NDL ING G I D AT A

    Vector Representation 5Bhugol G I Pvt. L td. I N E IIT Bombay

    Contd

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    HA NDL ING G I D AT A

    R un-length encoding

    Exhaustiverepresentation

    6Bhugol G I Pvt. L td. I N E IIT Bombay

    Contd

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    HA NDL ING G I D AT A

    7

    A dvantages/Disadvantages of raster and vector datamodels

    Bhugol G I Pvt. L td. I N E IIT Bombay

    Contd

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    HA NDL ING G I D AT A

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    HA NDL ING G I D AT Aome of the standard Raster D ata formats used by well

    establishedG

    I software solutions are :G eoTiff G R A M G IR AW data

    JPE GBMPN R A IR C D- Format, etc

    The above formats can be imported to G R A M++ R AS format by the existing G R A M++ softwareThis G R A M++ R AS format will be then processed by our module

    9Bhugol G IS Pvt. L td. S IN E IIT Bombay

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    GEO S T ATIS TI S

    G eostatistics is a collection of numerictechniques

    It is statistics applied to geologyG eostatistics is concerned with spatial data

    10Bhugol G IS Pvt. Ltd. S INE IIT Bombay

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    A PPL I ATION

    11

    Meteorological Department calculation of average rainfall, humidity, temperatureMining Industry estimating availability of mines of coal, copper, etc.A vailability of other natural resources andchecking the soil contamination etc.

    Bhugol GIS P vt. L td. SI N E IIT Bombay

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    GEO S T ATIS TI A L IN TERPOL ATION

    Interpolation is a method that estimates thevalues at locations.It is a specific case of curve fitting.

    Various interpolation techniques:o IDWo S pline methodo Kriging

    12Bhugol G IS P vt. L td. S INE IIT Bombay

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    GEO S T ATIS TI A L IN TERPOL ATION

    13

    ss

    s1

    s3s

    s

    s

    Bhugol G IS P vt. L td. S INE IIT Bombay

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    K R IG ING

    G roup of geostatistical techniques tointerpolate the random variableN amed in honor of D. G .K rigIt assumes spatial variation of an attribute isneither totally random nor deterministic

    BL E (Best Linear nbiased Estimator)

    14Bhugol G IS Pvt. Ltd. SI N E IIT Bombay

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    K R IG ING

    15

    1

    5

    K nownsamples

    nknown

    samples

    W 1

    Bhugol G IS Pvt. Ltd. SI N E IIT Bombay

    6

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    S EM I A R IOGR A M

    16Bhugol G IS Pvt. Ltd. S INE IIT Bombay

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    K R IG ING

    TypesOrdinary K rigingSimple K riging

    niversal K riging

    17Bhugol G IS Pvt. Ltd. SI N E IIT Bombay

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    S IMPLE K R IG ING

    ses average of entire data set Assumes mean to be constant

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    S IMPLE K R IG ING

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    S IMPLE K R IG ING

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    ORD IN A RY K R IG ING

    Focuses on spatially related componentsA ssumes absence of drift

    ses L O C A L average

    21Bhugol G IS Pvt. Ltd. SI N E IIT Bombay

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    UN I ER SA L K R IG ING

    A ssumes spatial variation in z values has adriftIncorporates a trend (trend surface) inK riging process

    22Bhugol G IS Pvt. L td. S INE IIT Bombay

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    C O- K R IG ING

    Extension of K rigingR equired for estimating one variable fromtwo variablesG

    enerally used when sampling of primaryvariables is difficult or expensiveThe two co -variables must have a strong

    relationship

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    C O- K R IG ING

    24Bhugol G IS Pvt. Ltd. SI N E IIT Bombay

    Plutonium C arbon R egression

    < O riginal map

    C o -K riged map >

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    UML D I A GR A M S

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    Usecase D iagram :

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    UML D I A GR A M S

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    Object D iagram :

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    UML D I A GR A M S

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    A ctivity D iagrams :

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    UML D I A GR A M S

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    S equence D iagram :

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    PRO J E C T REQ UIREMEN TSS O FT W ARE

    VC ++ 6 .0O penGL 3.1

    HAR DW AREW indows O S (XP or Vista)

    M in 40 M B free hard disk space & 6 4M B R AM

    29Bhugol GI S P vt. Ltd. S INE IIT Bombay

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    IN TERF A C E

    VC ++

    The G I will be developed using V C ++programming & M F C

    The software used for the purpose will beMicrosoft Visual C ++ 6 .0 E nterprise E dition

    30Bhugol GIS Pvt. Ltd. SI NE IIT Bombay

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    IN TERF A C E

    Open GL (Graphics Library)A pplication Programming Interface ( A PI)C ross language & C ross Platform

    seful for producing 2D and 3D computer graphicsC onsists of more than 300 function calls for producing complex 3D scenesW idely used in C A D, F light simulators and VideoGames etc.

    31Bhugol GIS Pvt. Ltd. SI NE IIT Bombay

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    GR A M++ S C OPEG ram ++ is a software package developed at

    Bhugol G IS , IIT BombayIt consists of different modules for differentpurposes

    Development of S oftware using V C ++ programminglanguage

    S patial S tatistical model as an add -on functionalityto G ram ++ G IS raster module terrain

    32Bhugol G IS P vt. Ltd. S INE IIT Bombay

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    REFEREN C E S

    Geostatistics for E ngineers and E arth S cientists,

    R .A. Olea, Kluwer PublicationE S R I websiteGamma design software

    W ikipediaS ome self learning tools available over internet

    33Bhugol GI S Pvt. Ltd. S INE IIT Bombay

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    DEVELOPMEN T OF S P ATI A L S T ATIS TIC A L MODEL

    THANK YOU.

    34Bhugol GI S P vt. L td. S INE IIT Bombay