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Environmentally Affected Tree Growth using L-Systems and Voxels

Andrew Leeuwenberg. Environmentally Affected Tree Growth using L-Systems and Voxels. Content. Hypothesis & Aim Methodology summary Result Discussion and Future work Conclusion. Aim. Hypothesis.

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Environmentally Affected Tree Growth using L-Systems and Voxels

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  1. Andrew Leeuwenberg Environmentally Affected Tree Growth using L-Systems and Voxels

  2. Content • Hypothesis & Aim • Methodology summary • Result • Discussion and Future work • Conclusion

  3. Aim

  4. Hypothesis H1 is that computer simulated plant development that is affected by their environment can be achieved by generating L-systems in a 3D voxel environment

  5. Null Hypothesis H0is that computer simulated plant development that is affected by their environment cannot be achieved by generating L-systemsin a 3D voxel environment.

  6. Collision avoidance

  7. Phototropism

  8. Competition

  9. Methodologysummary

  10. Grow L-System

  11. Grow L-system F…

  12. Grow L-System F[+…

  13. Grow L-system F[+F…

  14. Grow L-System F[+F][-F…

  15. Grow L-System F[+F[+F][-F]][-F[+F][-F]]…

  16. Collision avoidance

  17. Collision avoidance

  18. Luminosity

  19. Luminosity • E = 4/7 ≈ 0.57

  20. Luminosity • Adjust • Growth rate • Growth direction • Leaf growth • Leaf surface area

  21. Original development FF[+F[+X][-X]FX[-F[+X][-X]FX] FFF[+X][-X]FX

  22. New development FF[+F[+X][-X]FX[-F[+X][-X]FX] FFF[+X][-X]FX

  23. Multiple trees

  24. Multiple trees

  25. Result

  26. Collision avoidance

  27. Collision avoidance

  28. Phototropism

  29. Competition

  30. Discussionand Future Work

  31. Stem structure

  32. Stem structure • Bracketed OL-system implemented • Limited: • Not stochastic • Self-similar • More advanced Partial L-systems • Stochastic • Reduced self-similarity • Re-writing separate from growth • Method still valid

  33. Phototropism(Rotations)

  34. Current implementation • Calculate average luminosity (Ē) • North - South • East – West • Rotate towards greatest luminosity ĒN

  35. Euler rotation problem X: 90° w.s. X: 90° l.s.

  36. Euler rotation problem X, Y, Z ?

  37. Quaternions • Slerp

  38. Luminosity direction • Improve phototropism

  39. Luminosity direction

  40. Luminosity direction

  41. Luminosity direction

  42. Real-time

  43. Separating the processes

  44. Maya.cmds Generate tree 01 Generate tree 02 Return results Generate L-string Voxelize collision geometry Generate tree 03 Generate tree 04

  45. Maya.node Generate L-string Generate tree 01 Generate L-string Generate tree 02 Voxelize collision geometry Update results Generate tree 03 Generate L-string Generate tree 04 Generate L-string

  46. Maya.node Generate L-string Generate tree 01 Generate L-string Generate tree 02 Voxelize collision geometry Update results Generate tree 03 Generate L-string Generate tree 04 Generate L-string

  47. Maya.node Generate L-string Generate tree 01 Generate L-string Generate tree 02 Voxelize collision geometry Update results Generate tree 03 Generate L-string Generate tree 04 Generate L-string

  48. Competition Generate L-string Generate tree 01 Generate L-string Generate tree 02 Growth manager Update results Voxelize collision geometry Generate tree 03 Generate L-string Generate tree 04 Generate L-string

  49. Factors affecting speed Axiom length Successor length L-string length L-string interpretation Generations Growth time

  50. Factors affecting speed Number of samples Voxel Size Topology Luminosity Voxilizing geometry

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