89 search results - page 7 / 18 » Topological Persistence and Simplification |
ESA
2010
Springer
13 years 8 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...
SGP
2004
13 years 10 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
2001
ACM
13 years 11 months ago
2001
ACM
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
MFCS
2010
Springer
13 years 6 months ago
2010
Springer
Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classe...
FOCM
2011
12 years 11 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...