729 search results - page 1 / 146 » Computing persistent homology |
COMPGEOM
2004
ACM
14 years 4 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...
ESA
2010
Springer
13 years 12 months ago
2010
Springer
We define the robustness of a level set homology class of a function f : X R as the magnitude of a perturbation necessary to kill the class. Casting this notion into a group theor...
FOCM
2011
13 years 2 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...
CORR
2010
Springer
13 years 11 months ago
2010
Springer
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
COMPGEOM
2009
ACM
14 years 5 months ago
2009
ACM
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...