Journal
DISCRETE & COMPUTATIONAL GEOMETRY
Volume 37, Issue 1, Pages 103-120Publisher
SPRINGER
DOI: 10.1007/s00454-006-1276-5
Keywords
-
Categories
Ask authors/readers for more resources
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 persistence diagram is stable: small changes in the function imply only small changes in the diagram. We apply this result to estimating the homology of sets in a metric space and to comparing and classifying geometric shapes.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available