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Efficient PCF shadowmap filtering

Efficient PCF shadowmap filtering. Kees van Kooten. Virtual Proteins. Aliasing. Aliasing. PCF. PCF. 40%. PCF. PCF. PCF. nearest. PCF. nearest. 1. 1. 1. 1. 1. 0. 1. 1. 1. 1. 1. 0. 1. 1. 1. 1. 1. 0. 1. 1. 1. 1. 1. 0. 1. 1. 1. 1. 1. 0. 0. 0. 0. 0. 0.

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Efficient PCF shadowmap filtering

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  1. Efficient PCF shadowmap filtering Kees van Kooten Virtual Proteins

  2. Aliasing

  3. Aliasing

  4. PCF

  5. PCF 40%

  6. PCF

  7. PCF

  8. PCF nearest

  9. PCF nearest 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0

  10. PCF bilinear 0.56 0.19 0.19 0.06

  11. PCF bilinear 0.56 0.75 0.19 0.19 0.38 0.06

  12. PCF bilinear 0.56 0.75 0.75 0.19 0.19 0.38 0.38 0.06

  13. PCF bilinear 0.56 0.75 0.75 0.75 0.75 0.19 0.75 1 1 1 1 0.25 0.75 1 1 1 1 0.25 0.75 1 1 1 1 0.25 0.75 1 1 1 1 0.25 0.19 0.25 0.25 0.25 0.25 0.06

  14. PCF bilinear

  15. 0.56 0.19 0.56 0.19 0.56 0.19 0.19 0.06 0.19 0.06 0.19 0.06 0.56 0.19 0.56 0.19 0.56 0.19 0.19 0.06 0.19 0.06 0.19 0.06 0.56 0.75 0.75 0.75 0.75 0.19 0.56 0.19 0.56 0.19 0.56 0.19 0.75 1 1 1 1 0.25 0.19 0.06 0.19 0.06 0.19 0.06 0.75 1 1 1 1 0.25 0.75 1 1 1 1 0.25 0.75 1 1 1 1 0.25 0.19 0.25 0.25 0.25 0.25 0.06

  16. PCF efficient bilinear

  17. 0.75 1 1 1 1 0.25

  18. a b c d e f F1 F2 F3 F4 F5 F6 S = aF1 + bF2 + cF3 + dF4 + eF5 + fF6

  19. aF1 + bF2

  20. aF1 + bF2 lerp(F1,F2,o)

  21. aF1 + bF2 lerp(F1,F2,o) s∙lerp(F1,F2,o)

  22. (a+b) s = b o = s aF1+bF2 = s∙lerp(F1,F2,o)

  23. F1 0 F2

  24. aF1 0 bF2

  25. aF1+bF2 0

  26. aF1+bF2 0 lerp(F1,F2,o)

  27. aF1+bF2 0 s∙lerp(F1,F2,o)

  28. aF1+bF2 0 s∙(1-o)F1+ s∙oF2

  29. s = a+b 0

  30. b o = a+b 0

  31. d b f a+b c+d e+f a b c d e f F1 F2 F3 F4 F5 F6 s = (a+b)lerp(F1,F2, ) + (c+d)lerp(F1,F2, ) + (e+f)lerp(F1,F2, )

  32. ~1/2 #lookups

  33. aF1 bF2 cF3 dF4 PCF in 2D

  34. s1∙lerp(F1,F2,o1) aF1 bF2 cF3 dF4 s2∙lerp(F3,F4,o2)

  35. s1∙G1 aF1 bF2 cF3 dF4 s2∙lerp(F3,F4,o2)

  36. s1∙G1 aF1 bF2 cF3 dF4 s2∙G2

  37. s2 (s1+s2)lerp(G1,G2, ) s1+s2 = s∙lerp( G1, G2, y) s∙lerp(lerp(F1,F2,x), lerp(F3,F4,x), y)

  38. s2 (s1+s2)lerp(G1,G2, ) s1+s2 = s∙lerp(s1∙lerp(F1,F2,o1), s2∙lerp(F3,F4,o2), y) = s∙lerp(lerp(F1,F2,x), lerp(F3,F4,x), y)

  39. Doomed? 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

  40. Separability

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