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Simulations: Cellular Automata

Simulations: Cellular Automata . Robert Alvarez, Dakota Boyd, Hyder Hussain, Jonathan Martin. Mechanism. Defines rand() NxN domain. Generates MxM grid of filters based on an MxM tensor field.

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Simulations: Cellular Automata

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  1. Simulations: Cellular Automata Robert Alvarez, Dakota Boyd, Hyder Hussain, Jonathan Martin

  2. 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

  3. Forces

  4. Forces

  5. Sample Filters Tensor Filter 0 -0.0026 -0.0065 -0.0026 0 0.0026 0 -0.0130 0 0.0026 0.0065 0.0130 0 0.0130 0.0065 0.0026 0 -0.0130 0 0.0026 0 -0.0026 -0.0065 -0.0026 0 Smoothing Filter 0 -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 -0.0150 0 -0.0150 -0.0117 -0.0150 0

  6. Implementation of Force Filter

  7. Implementation of Force Filter

  8. Version 1.0 Elapsed time is 5.037525 seconds.

  9. Version 3.0 Elapsed time is 9.191040 seconds.

  10. Version 4.0 Elapsed time is 5.250095 seconds.

  11. Version 5.0 Elapsed time is 5.551649 seconds.

  12. Version 8.0

  13. Version 9.0

  14. Version 10.0

  15. Version 11.0

  16. Version 12.0 Tensor

  17. Version 12.0

  18. Questions? http://us.123rf.com/400wm/400/400/sorad/sorad1103/sorad110300085/9128505-fingerprint-question-mark.jpg

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