Sciweavers

COMPGEOM
2006
ACM

A sampling theory for compact sets in Euclidean space

13 years 9 months ago
A sampling theory for compact sets in Euclidean space
Abstract We introduce a parameterized notion of feature size that interpolates between the minimum of the local feature size and the recently introduced weak feature size. Based on this notion of feature size, we propose sampling conditions that apply to noisy samplings of general compact sets in euclidean space. These conditions are sufficient to ensure the topological correctness of a reconstruction given by an offset of the sampling. Our approach also yields new stability results for medial axes, critical points, and critical values of distance functions. Keywords Distance function · Sampling · Surface and manifold reconstruction
Frédéric Chazal, David Cohen-Steiner
Added 13 Jun 2010
Updated 13 Jun 2010
Type Conference
Year 2006
Where COMPGEOM
Authors Frédéric Chazal, David Cohen-Steiner, André Lieutier
Comments (0)