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DCG
2010
104views more  DCG 2010»
13 years 5 months ago
Vietoris-Rips Complexes of Planar Point Sets
Fix a finite set of points in Euclidean n-space En , thought of as a point-cloud sampling of a certain domain D En . The VietorisRips complex is a combinatorial simplicial complex...
Erin W. Chambers, Vin de Silva, Jeff Erickson, Rob...
TSMC
2010
13 years 3 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
JSYML
2010
120views more  JSYML 2010»
13 years 3 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
SGP
2007
13 years 10 months ago
Data-dependent MLS for faithful surface approximation
In this paper we present a high-fidelity surface approximation technique that aims at a faithful reconstruction of piecewise-smooth surfaces from a scattered point set. The presen...
Yaron Lipman, Daniel Cohen-Or, David Levin
ICCV
1999
IEEE
14 years 10 months ago
Mean Shift Analysis and Applications
A nonparametric estimator of density gradient, the mean shift, is employed in the joint, spatial-range (value) domain of gray level and color images for discontinuity preserving l...
Dorin Comaniciu, Peter Meer