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ESA
2010
Springer

The Robustness of Level Sets

9 years 11 months ago
The Robustness of Level Sets
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 theoretic framework, we compute the robustness for each class, using a connection to extended persistent homology. The special case X = R3 has ramifications in medical imaging and scientific visualization. Keywords. Topological spaces, continuous functions, level sets, perturbations, homology, extended persistence, well groups, well diagrams, robustness.
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozo
Added 09 Nov 2010
Updated 09 Nov 2010
Type Conference
Year 2010
Where ESA
Authors Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit K. Patel
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