File:Perspective Transform Diagram.png

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Summary

Diagram of how perspective transform works in computer graphics

To determine which screen x coordinate corresponds to a point at Ax,Az multiply the point coordinates by:

$s c r e e n x c o o r d i n a t e (B x) = m o d e l x c o o r d i n a t e (A x) \times \frac{d i s t a n c e f r o m e y e t o s c r e e n (B z)}{d i s t a n c e f r o m e y e t o p o i n t (A z)}$

the same works for the screen y coordinate:

$s c r e e n y c o o r d i n a t e (B y) = m o d e l y c o o r d i n a t e (A y) \times \frac{d i s t a n c e f r o m e y e t o s c r e e n (B z)}{d i s t a n c e f r o m e y e t o p o i n t (A z)}$

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File:Perspective Transform Diagram.png

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