43 search results - page 1 / 9 » Persistent Intersection Homology |
FOCM
2011
12 years 8 months ago
2011
The theory of intersection homology was developed to study the singularities of a topologically stratified space. This paper incorporates this theory into the already developed f...
FOCM
2011
12 years 8 months ago
2011
By definition, transverse intersections are stable under infinitesimal perturbations. Using persistent homology, we extend this notion to a measure. Given a space of perturbatio...
IPSN
2005
Springer
13 years 10 months ago
2005
Springer
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
COMPGEOM
2004
ACM
13 years 10 months ago
2004
ACM
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...
CORR
2010
Springer
13 years 2 months ago
2010
Springer
The present lack of a stable method to compare persistent homology groups with torsion is a relevant problem in current research about Persistent Homology and its applications in P...