Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
440178 | Computer-Aided Design | 2013 | 6 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Alexander Belyaev, Pierre-Alain Fayolle, Alexander Pasko,