43 search results - page 2 / 9 » Persistent Intersection Homology |
ESA
2010
Springer
13 years 6 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...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
CORR
2010
Springer
13 years 5 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...
CAIP
2007
Springer
13 years 9 months ago
2007
Springer
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...