Hierarchical Spline Approximation of the Signed Distance Function

Xinghua Song 1 Bert Juettler 2 Adrien Poteaux 2
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : We present a method to approximate the signed distance function of a smooth curve or surface by using polynomial splines over hierarchical T-meshes (PHT splines). In particular, we focus on closed parametric curves in the plane and implicitly defined surfaces in space.
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Xinghua Song, Bert Juettler, Adrien Poteaux. Hierarchical Spline Approximation of the Signed Distance Function. SMI 2010, Jun 2010, Aix-en-provence, France. pp.241-245, ⟨10.1109/SMI.2010.18⟩. ⟨inria-00506000⟩

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