Lecture ??: Homegenous Divide

Outline

Planned lecture on the topic of the homogenous divide including:

This could also make more sense in 476.

Why it’s necessary to have the w at all for perspective (can’t we just divide by z?)
- i.e. the difference between w and z in clip space
Mathematics behind it (projected coordinate systems)
History behind left hand and right handed use in graphics (explanation of why OpenGL uses left-handed in clip space?)
Possibility of using a projection matrix with inifinite far
Precision issues in the depth buffer and ways to fix it
- Using the reversed “DirectX” mapping (0 to 1)
- Real logarithmic depth buffer using gl_FragDepth writes