Publication

Bounds on the k-neighborhood for locally uniformly sampled surfaces

2004
Conference Papers

Abstract

Given a locally uniform sample set P of a smooth surface S. We derive upper and lower bounds on the number k of nearest neighbors of a sample point p that have to be chosen from P such that this neighborhood contains all restricted Delaunay neighbors of p. In contrast to the trivial lower bound, the upper bound indicates that a sampling condition that is used in many computational geometry proofs is quite reasonable from a practical point of view.

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2004
Conference Papers

Abstract

Official source

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Bounds on the k-neighborhood for locally uniformly sampled surfaces

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