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
APA
Chicago
ICMJE
MLA
NLM
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.
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