Determine the perspective transformation matrix, Computer Graphics

Determine the perspective transformation matrix upon to z = 5 plane, when the center of projection is at origin.

Solution. As z = 5 is parallel to z = 0 plane, the normal is similar to the unit vector 'k'.

∴ (n1, n2, n3) = (0, 0, 1)

And the Reference point is R0 (x0, y0, z0) = (0, 0, 5)

d0 = n1. x0 + n2. y0 + n3. z0) = 5

We know here general perspective transformation, while cop is at origin is specified by:

1969_Determine the perspective transformation matrix.png

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