Signed L <sup>p</sup>-distance fields

This source preferred by Alexander Pasko

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Authors: Belyaev, A., Fayolle, P.A. and Pasko, A.

Journal: CAD Computer Aided Design

Volume: 45

Issue: 2

Pages: 523-528

ISSN: 0010-4485

DOI: 10.1016/j.cad.2012.10.035

We introduce and study a family of generalized double-layer potentials which are used to build smooth and accurate approximants for the signed distance function. Given a surface, the value of an approximant at a given point is a power mean of distances from the point to the surface points parameterized by the angle they are viewed from the given point. We analyze mathematical properties of the potentials and corresponding approximants. In particular, approximation accuracy estimates are derived. Our theoretical results are supported by numerical experiments which reveal the high practical potential of our approach. © 2012 Elsevier Ltd. All rights reserved.

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