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