43 search results - page 3 / 9 » Persistent Intersection Homology |
COMPGEOM
2007
ACM
13 years 9 months ago
2007
ACM
Persistent homology captures the topology of a filtration
CORR
2011
Springer
12 years 9 months ago
2011
Springer
Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...
CORR
2010
Springer
13 years 2 months ago
2010
Springer
We consider generic curves in R2 , i.e. generic C1 functions f : S1 R2 . We analyze these curves through the persistent homology groups of a filtration induced on S1 by f. In parti...
3DPH
2009
13 years 3 months ago
2009
We describe an algorithm for segmenting three-dimensional medical imaging data modeled as a continuous function on a 3-manifold. It is related to watershed algorithms developed in ...
MFCS
2010
Springer
13 years 3 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...