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» On the Topology of Discrete Strategies
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COMPGEOM
2006
ACM
14 years 3 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...
SKG
2005
IEEE
14 years 2 months ago
The Reasoning Mechanism of Fuzzy Cognitive Maps
: Fuzzy Cognitive Maps (FCMs) can represent and reason causal knowledge with stronger semantics. And the causal knowledge widely exists in Knowledge Grid. To provide information se...
Xiang-Feng Luo, Er-Lin Yao
IWCIA
2004
Springer
14 years 2 months ago
Curves, Hypersurfaces, and Good Pairs of Adjacency Relations
In this paper we propose several equivalent definitions of digital curves and hypersurfaces in arbitrary dimension. The definitions involve properties such as one-dimensionality ...
Valentin E. Brimkov, Reinhard Klette
COMPGEOM
2003
ACM
14 years 2 months ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
COMPGEOM
2010
ACM
14 years 2 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan