Geometric Complexity and Computer Graphics - Does Theory Apply in Practice?
Abstract:
Theoretical work in geometric complexity is often justified by its relevance to key problems of computer graphics, most notable the problems of hidden line and hidden surface removal. We consider a geometric structure - the convex drum - both in the context of a theoretical algorithm for polyhedral intersection
and in a practical context giving an algorithm for computing and decomposing unions of polygons. This is used as a model of situations where theoretical ideas can have relevance to actual implementations.