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A point calculus for interlevel set homology

Publication ,  Journal Article
Bendich, P; Cabello, S; Edelsbrunner, H
Published in: Pattern Recognition Letters
August 1, 2012

The theory of persistent homology opens up the possibility to reason about topological features of a space or a function quantitatively and in combinatorial terms. We refer to this new angle at a classical subject within algebraic topology as a point calculus, which we present for the family of interlevel sets of a real-valued function. Our account of the subject is expository, devoid of proofs, and written for non-experts in algebraic topology. © 2011 Elsevier B.V. All rights reserved.

Duke Scholars

Published In

Pattern Recognition Letters

DOI

ISSN

0167-8655

Publication Date

August 1, 2012

Volume

33

Issue

11

Start / End Page

1436 / 1444

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
  • 1702 Cognitive Sciences
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Bendich, P., Cabello, S., & Edelsbrunner, H. (2012). A point calculus for interlevel set homology. Pattern Recognition Letters, 33(11), 1436–1444. https://doi.org/10.1016/j.patrec.2011.10.007
Bendich, P., S. Cabello, and H. Edelsbrunner. “A point calculus for interlevel set homology.” Pattern Recognition Letters 33, no. 11 (August 1, 2012): 1436–44. https://doi.org/10.1016/j.patrec.2011.10.007.
Bendich P, Cabello S, Edelsbrunner H. A point calculus for interlevel set homology. Pattern Recognition Letters. 2012 Aug 1;33(11):1436–44.
Bendich, P., et al. “A point calculus for interlevel set homology.” Pattern Recognition Letters, vol. 33, no. 11, Aug. 2012, pp. 1436–44. Scopus, doi:10.1016/j.patrec.2011.10.007.
Bendich P, Cabello S, Edelsbrunner H. A point calculus for interlevel set homology. Pattern Recognition Letters. 2012 Aug 1;33(11):1436–1444.
Journal cover image

Published In

Pattern Recognition Letters

DOI

ISSN

0167-8655

Publication Date

August 1, 2012

Volume

33

Issue

11

Start / End Page

1436 / 1444

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
  • 1702 Cognitive Sciences
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing