Math @ Duke

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
(2010),
pp. 110, Springer Berlin Heidelberg, ISSN 03029743 [doi]
(last updated on 2019/01/21)
Abstract: We define the robustness of a level set homology class of a function f : doublestruck 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 doublestruck X = ℝ 3 has ramifications in medical imaging and scientific visualization. © 2010 SpringerVerlag.


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