Determine the perspective transformation matrix, Computer Graphics

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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:

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