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P(0,0)

Orthographic (parallel) projection: Finding the starting point of the ray. P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1. v. n. P(4,1). P(0,0). u. Orthographic (parallel) projection: Finding the starting point of the ray. P(0,0): origin of image plane

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P(0,0)

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  1. Orthographic (parallel) projection: Finding the starting point of the ray P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 v n P(4,1) P(0,0) u

  2. Orthographic (parallel) projection: Finding the starting point of the ray P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 v n P(4,1) P(0,0) u

  3. Orthographic (parallel) projection: Finding the starting point of the ray P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 v n P(4,1) P(0,0) u

  4. Orthographic (parallel) projection: Casting the ray P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 Q(6): ray sample point at k=6 n n n n n n Q(6) v n P(4,1) P(0,0) u

  5. Orthographic (parallel) projection: Casting the ray P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 Q(6): ray sample point at k=6 n n n n n n Q(6) v n P(4,1) P(0,0) u

  6. Orthographic (parallel) projection: Casting the ray P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 Q(6): ray sample point at k=6 n n n n n n Q(6) v n P(4,1) P(0,0) u (assume)

  7. Orthographic (parallel) projection: Interpolation P(0,0): origin of image plane P(4,1): image pixel at i=4, j=1 Q(6): ray sample point at k=6 n n n n n n Q(6) v n P(0,0) u Q(6) (assume)

  8. y Orthographic (parallel) projection: Interpolation x z 32 8 30 13 43 10 Q(6) 20 24

  9. Orthographic (parallel) projection: Nearest Neighbor Interpolation y x z 32 8 30 13 43 10 Q(6) 20 24

  10. Orthographic (parallel) projection: Nearest Neighbor Interpolation y x z 32 8 30 13 43 10 Q(6) 20 24

  11. Orthographic (parallel) projection: Nearest Neighbor Interpolation y x z 32 8 30 13 43 10 Q(6) 20 24

  12. Orthographic (parallel) projection: Nearest Neighbor Interpolation y x z 32 8 30 13 43 10 Q(6) 20 24

  13. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  14. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  15. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  16. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  17. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  18. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  19. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  20. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  21. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  22. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  23. Orthographic (parallel) projection: Trilinear Interpolation y x z 32 8 30 13 ww 43 10 Q(6) vv uu 20 24

  24. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  25. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  26. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  27. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  28. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  29. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  30. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  31. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  32. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  33. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  34. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  35. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  36. Orthographic (parallel) projection: 1st linear interpolation: along x y x z 32 8 30 13 43 10 Q(6) uu 20 24

  37. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  38. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  39. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  40. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  41. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  42. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  43. Orthographic (parallel) projection: 2nd linear interpolation: along y y x z 32 8 30 13 43 10 Q(6) vv 20 24

  44. Orthographic (parallel) projection: 3rd linear interpolation: along z y x z 32 Val(Q(6)) 8 30 13 ww 43 10 Q(6) 20 24

  45. Orthographic (parallel) projection: 3rd linear interpolation: along z y x z 32 Val(Q(6)) 8 30 13 ww 43 10 Q(6) 20 24

  46. Orthographic (parallel) projection: 3rd linear interpolation: along z y x z 32 Val(Q(6)) 8 30 13 ww 43 10 Q(6) 20 24

  47. Orthographic (parallel) projection: 3rd linear interpolation: along z y x z 32 Val(Q(6)) 8 30 13 ww 43 10 Q(6) 20 24

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