Persistent homology under non-uniform error


Journal Article

Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classes. Prior work has shown that the homology and robustness information can be read off the extended persistence diagram of the function. This paper extends these results to a non-uniform error model in which perturbations vary in their magnitude across the domain. © 2010 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Bendich, P; Edelsbrunner, H; Kerber, M; Patel, A

Published Date

  • November 22, 2010

Published In

Volume / Issue

  • 6281 LNCS /

Start / End Page

  • 12 - 23

Electronic International Standard Serial Number (EISSN)

  • 1611-3349

International Standard Serial Number (ISSN)

  • 0302-9743

Digital Object Identifier (DOI)

  • 10.1007/978-3-642-15155-2_2

Citation Source

  • Scopus