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» The Stirling Polynomial of a Simplicial Complex
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COMPGEOM
2004
ACM
13 years 10 months ago
Computing persistent homology
We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...
Afra Zomorodian, Gunnar Carlsson
COMPGEOM
2010
ACM
13 years 10 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
COMGEO
2010
ACM
13 years 5 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff