robert alvarez, dakota boyd, hyder hussain, jonathan martin simulations: cellular automata
DESCRIPTION
ForcesTRANSCRIPT
![Page 1: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/1.jpg)
ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN
Simulations: Cellular Automata
![Page 2: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/2.jpg)
Mechanism
Defines rand() NxN domain.Generates MxM grid of filters based on an
MxM tensor field.Updates the domain via 2D correlation of the
filter matrices with segments of the full domain.
Updates the domain with a smoothing filter
![Page 3: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/3.jpg)
Forces
0 2 4 6 8 10 12
-4
-2
0
2
4
6
x 10-3
Distance
Forc
e
Forces
AttractionTotalRepulsion
![Page 4: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/4.jpg)
Forces
0 2 4 6 8 10 12
-4
-2
0
2
4
6
x 10-3
Distance
Forc
e
Forces
AttractionTotalRepulsion
![Page 5: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/5.jpg)
Sample Filters
Tensor Filter0 -0.0026 -0.0065 -0.0026 00.0026 0 -0.0130 0 0.00260.0065 0.0130 0 0.0130 0.00650.0026 0 -0.0130 0 0.00260 -0.0026 -0.0065 -0.0026 0
Smoothing Filter0 -0.0150 -0.0117 -0.0150 0-0.0150 0.0046 0.0371 0.0046 -0.0150-0.0117 0.0371 0 0.0371 -0.0117-0.0150 0.0046 0.0371 0.0046 -0.01500 -0.0150 -0.0117 -0.0150 0
![Page 6: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/6.jpg)
Implementation of Force Filter
![Page 7: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/7.jpg)
Implementation of Force Filter
![Page 8: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/8.jpg)
Version 1.0
finalinitial
Elapsed time is 5.037525 seconds.
![Page 9: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/9.jpg)
Version 3.0initial
Elapsed time is 9.191040 seconds.
![Page 10: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/10.jpg)
Version 4.0
initial
Elapsed time is 5.250095 seconds.
![Page 11: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/11.jpg)
Version 5.0
initial
Elapsed time is 5.551649 seconds.
![Page 12: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/12.jpg)
Version 8.0
![Page 13: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/13.jpg)
Version 9.0
![Page 14: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/14.jpg)
Version 10.0
![Page 15: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/15.jpg)
Version 11.0
![Page 16: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/16.jpg)
Version 12.0 Tensor
![Page 17: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/17.jpg)
Version 12.0
![Page 18: ROBERT ALVAREZ, DAKOTA BOYD, HYDER HUSSAIN, JONATHAN MARTIN Simulations: Cellular Automata](https://reader035.vdocument.in/reader035/viewer/2022062503/5a4d1ae27f8b9ab059977987/html5/thumbnails/18.jpg)
Questions?
http://us.123rf.com/400wm/400/400/sorad/sorad1103/sorad110300085/9128505-fingerprint-question-mark.jpg