Geometric Complexity and Computer Graphics - Does Theory Apply in Practice?

Report ID: TR-014-85
Author: Dobkin, David P.
Date: 1985-07-00
Pages: 13
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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.