Math @ Duke
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Publications [#302431] of Paul L Bendich
Papers Published
- with Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A, The robustness of level sets,
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6346 LNCS no. PART 1
(November, 2010),
pp. 1-10, Springer Berlin Heidelberg, ISSN 0302-9743 [doi]
(last updated on 2024/03/28)
Abstract: We define the robustness of a level set homology class of a function f : double-struck 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 double-struck X = ℝ3 has ramifications in medical imaging and scientific visualization. © 2010 Springer-Verlag.
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