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Mar 25, 2011 · In this work, we focus on the simplification of a particular class of simplicial complexes, likely to be encountered in high dimen- sional data ...
Jun 13, 2011 · The idea is to encode a simplicial complex K by the graph G of its edges together with the inclusion-minimal simplices in the set difference G - ...
ABSTRACT. We study the simplification of simplicial complexes by repeated edge contractions. First, we extend to arbitrary simplicial com-.
We study the simplification of simplicial complexes by repeated edge contractions. First, we extend to arbitrary simplicial complexes the statement that ...
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The idea is to encode a simplicial complex K by the graph G of its edges together with the inclusion-minimal simplices in the set difference \FlagG∖K. We call ...
EFFICIENT DATA STRUCTURE FOR REPRESENTING AND SIMPLIFYING SIMPLICIAL COMPLEXES IN HIGH DIMENSIONS. DOMINIQUE ATTALI,; ANDRÉ LIEUTIER, and; DAVID SALINAS.
The idea is to encode a simplicial complex K by the graph G of its edges together with the inclusion-minimal simplices in the set difference \FlagG∖K. We call ...
Efficient Data Structure for. Representing & Simplifying. Simplicial Complexes in. High Dimensions. D. Attali. CNRS, Gipsa-lab. Grenoble. A. Lieutier. Dassault ...
Here, we consider the problem of efficiently simplifying simplicial complexes in arbitrary dimensions. We provide a new definition for the edge contraction ...
Jun 14, 2012 · Abstract: This paper introduces a new data structure, called simplex tree, to represent abstract simplicial complexes of any dimension.