N u v P(0,0) P(4,1) 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,

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n u v P(0,0) P(4,1) 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

n u v P(0,0) P(4,1) 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

n u v P(0,0) P(4,1) 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

P(0,0) n u v P(4,1) 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 Q(6) n n n n n n

P(0,0) n u v P(4,1) 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 Q(6) n n n n n n

P(0,0) n u v P(4,1) 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 Q(6) n n n n n n (assume)

P(0,0) n u v 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 Q(6) n n n n n n (assume)

Orthographic (parallel) projection: Interpolation Q(6) x y z

Orthographic (parallel) projection: Nearest Neighbor Interpolation Q(6) x y z

Orthographic (parallel) projection: Nearest Neighbor Interpolation Q(6) x y z

Orthographic (parallel) projection: Nearest Neighbor Interpolation Q(6) x y z

Orthographic (parallel) projection: Nearest Neighbor Interpolation Q(6) x y z

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: Trilinear Interpolation Q(6) x y z uu vv ww

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 1 st linear interpolation: along x Q(6) x y z uu

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 2 nd linear interpolation: along y Q(6) x y z vv

Orthographic (parallel) projection: 3 rd linear interpolation: along z Q(6) x y z ww Val(Q(6))

Orthographic (parallel) projection: 3 rd linear interpolation: along z Q(6) x y z ww Val(Q(6))

Orthographic (parallel) projection: 3 rd linear interpolation: along z Q(6) x y z ww Val(Q(6))

Orthographic (parallel) projection: 3 rd linear interpolation: along z Q(6) x y z ww Val(Q(6))