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» A sampling theory for compact sets in Euclidean space
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COMPGEOM
2006
ACM
13 years 10 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...
Frédéric Chazal, David Cohen-Steiner...
SIAMCO
2010
93views more  SIAMCO 2010»
12 years 11 months ago
Morphological Control Problems with State Constraints
In this paper, we extend fundamental notions of control theory to evolving compact subsets of the Euclidean space
Thomas Lorenz
COMPGEOM
2008
ACM
13 years 6 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
BSL
2007
94views more  BSL 2007»
13 years 4 months ago
Descriptive Set Theory of Families of Small Sets
This is a survey paper on the descriptive set theory of hereditary families of closed sets in Polish spaces. Most of the paper is devoted to ideals and σ-ideals of closed or compa...
Étienne Matheron, Miroslav Zelený
NA
2008
78views more  NA 2008»
13 years 4 months ago
A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space
(A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent re...
S. B. Damelin