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Is there something like this regarding homogeneous coordinates and the projective plane? It's strange. Somehow I have now problems whatsoever regarding the use
by zubspace 10y ago
Is there something like this regarding homogeneous coordinates and the projective plane?
It's strange. Somehow I have now problems whatsoever regarding the use of 4-component vectors. As long as the z component stays one, I'm all set. But lately I'm trying to understand the construction of projection matrices and how to apply the knowledge of homogeneous coordinates, for example shadow mapping.
Parallel lines suddenly intersect? 3D space is just a projective plane? Now everything is all weird...
- ooqr 10y agoHomogenous coordinates have accrued really overcomplicated language around the very simple idea that something appears half as large twice as far away.
- thfuran 10y agoNot sure if you already are aware, but you didn't use the term, so I figured it might help to point out that what you are talking about is projective geometry. I'm not sure of any good texts, though it sounds like you might want one more focused on graphics than projective geometry purely in the abstract.