Signed Lp-distance fields

Alexander Belyaev, Pierre-Alain Fayolle, Alexander Pasko

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)
238 Downloads (Pure)


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 high practical potential of our approach.
Original languageEnglish
Pages (from-to)523-528
Number of pages6
JournalComputer-Aided Design
Issue number2
Publication statusPublished - 2012


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