729 search results - page 1 / 146 » Computing persistent homology |
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...
ESA
2010
Springer
13 years 5 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
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...
CORR
2010
Springer
13 years 4 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
13 years 11 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...