The robustness of level sets


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Bendich, P; Edelsbrunner, H; Morozov, D; Patel, A

Published Date

  • November 19, 2010

Published In

Volume / Issue

  • 6346 LNCS / PART 1

Start / End Page

  • 1 - 10

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

Digital Object Identifier (DOI)

  • 10.1007/978-3-642-15775-2_1

Citation Source

  • Scopus