Topological persistence and simplification


Journal Article

We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens during growth as either a feature or noise depending on its lifetime or persistence within the filtration. We give fast algorithms for computing persistence and experimental evidence for their speed and utility.

Full Text

Cited Authors

  • Edelsbrunner, H; Letscher, D; Zomorodian, A

Published Date

  • January 1, 2002

Published In

Volume / Issue

  • 28 / 4

Start / End Page

  • 511 - 533

International Standard Serial Number (ISSN)

  • 0179-5376

Digital Object Identifier (DOI)

  • 10.1007/s00454-002-2885-2

Citation Source

  • Scopus