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On the algebraic and geometric foundations of computer graphics

Ron Goldman

2002
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ACM Transactions on Graphics
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Projective spaces fail to support *computer* *graphics* on two levels: theoretical *and* *computational*, *geometric* *and* *algebraic*. Theoretically, projective spaces are compact, nonorientable manifolds. ...
We shall see that both of these basic problems-theoretical *and* *computational*, *geometric* *and* *algebraic*-can be overcome by replacing projective space with Grassmann space. ...
*Computer* *graphics* has nothing to lose *geometrically*, *and* a great deal to gain *algebraically*, from adopting the mathematical framework of Grassmann space. ...

doi:10.1145/504789.504792
fatcat:qlb4niq4wzf47koaq5upkzmmdy