What is the formula to perspective projection?

Asked Jun 29 '18 at 17:32

Active Jun 29 '18 at 21:18

Viewed 162 times

Is:

(p * cameraFocal) / pz

or: p * (cameraFocal / pz)

edited Jun 29 '18 at 21:18

amd

asked Jun 29 '18 at 17:32

Jonathan Costa

Some context would help, is this an optics question? Some example matrices would be helpful. I don't know what any of those symbols mean, particularly p and pz. There's also a physics stack exchange, maybe that would be more helpful? – Cuhrazatee Jun 29 '18 at 17:43
Is the context of computer graphics.
P is x or y position, pz is z position.

In my rendering wireframe software this formula seems to have fixed a bug that happened when the object was far away, the correctly formula in this case is first.
– Jonathan Costa Jun 29 '18 at 17:52
Convert to simple homogeneous coordinates first: $x' = xd / (x+d), y' = yd / (y+d), z' = 0$ where $d>0$. And $w' = z/d+w$ – Jun 29 '18 at 18:07
............... w? – Jonathan Costa Jun 29 '18 at 18:51
If all of those values are scalars (numbers), then the two expressions that you have are completely equivalent. – amd Jun 29 '18 at 21:17

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