43 search results - page 5 / 9 » Persistent Intersection Homology |
COCOON
2010
Springer
14 years 7 days ago
2010
Springer
The persistent homology provides a mathematical tool to describe “features” in a principled manner. The persistence algorithm proposed by Edelsbrunner et al. [9] can compute n...
SGP
2004
13 years 9 months ago
2004
In this paper, we initiate a study of shape description and classification via the application of persistent homology to tangential constructions on geometric objects. Our techniq...
COMPGEOM
2011
ACM
12 years 11 months ago
2011
ACM
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
COMPGEOM
2005
ACM
13 years 9 months ago
2005
ACM
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
COMBINATORICS
2004
13 years 7 months ago
2004
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...