Digitization of planes: approximation and convergence

Yukiko Kenmochi⋆, Atsushi Imiya · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997

The representation process of 3D objects in Euclidean space for computers is divided into the following two stages; approximation of an object as a polyhedron which is bounded by a number of planes, and digitization of points on the approximate polyhedron. In this paper, we focus on planes which form the boundary of polyhedra, and clarify the process of digitization of planes. We also analyze the geometric and topological properties of digitized plane as the resolutions increase.

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