75 search results - page 1 / 15 » Stability of persistence diagrams |
COMPGEOM
2005
ACM
13 years 6 months ago
2005
ACM
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
COMPGEOM
2009
ACM
13 years 11 months ago
2009
ACM
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
COMPGEOM
2006
ACM
13 years 10 months ago
2006
ACM
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
MFCS
2010
Springer
13 years 2 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...
COMPGEOM
2005
ACM
13 years 6 months ago
2005
ACM
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...