Signed L p-distance fields

Alexander Belyaev, Pierre Alain Fayolle, Alexander Pasko

Результат исследований: Вклад в журналСтатьярецензирование

16 Цитирования (Scopus)


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.

Язык оригиналаАнглийский
Страницы (с-по)523-528
Число страниц6
ЖурналCAD Computer Aided Design
Номер выпуска2
СостояниеОпубликовано - февр. 2013
Опубликовано для внешнего пользованияДа


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