Incremental-decremental algorithm for computing AT-models and persistent homology
Gonzalez-Diaz R, Ion A, Jimenez MJ, Poyatos R. 2011. Incremental-decremental algorithm for computing AT-models and persistent homology. Computer Analysis of Images and Patterns. CAIP: International Conference on Computer Analysis of Images and Patterns, LNCS, vol. 6854, 286–293.
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Author
Gonzalez-Diaz, Rocio;
Ion, AdrianISTA;
Jimenez, Maria Jose;
Poyatos, Regina
Department
Series Title
LNCS
Abstract
In this paper, we establish a correspondence between the incremental algorithm for computing AT-models [8,9] and the one for computing persistent homology [6,14,15]. We also present a decremental algorithm for computing AT-models that allows to extend the persistence computation to a wider setting. Finally, we show how to combine incremental and decremental techniques for persistent homology computation.
Publishing Year
Date Published
2011-08-01
Proceedings Title
Computer Analysis of Images and Patterns
Publisher
Springer Nature
Volume
6854
Page
286-293
Conference
CAIP: International Conference on Computer Analysis of Images and Patterns
Conference Location
Seville, Spain
Conference Date
2011-08-29 – 2011-08-31
ISBN
ISSN
eISSN
IST-REx-ID
Cite this
Gonzalez-Diaz R, Ion A, Jimenez MJ, Poyatos R. Incremental-decremental algorithm for computing AT-models and persistent homology. In: Computer Analysis of Images and Patterns. Vol 6854. Springer Nature; 2011:286-293. doi:10.1007/978-3-642-23672-3_35
Gonzalez-Diaz, R., Ion, A., Jimenez, M. J., & Poyatos, R. (2011). Incremental-decremental algorithm for computing AT-models and persistent homology. In Computer Analysis of Images and Patterns (Vol. 6854, pp. 286–293). Seville, Spain: Springer Nature. https://doi.org/10.1007/978-3-642-23672-3_35
Gonzalez-Diaz, Rocio, Adrian Ion, Maria Jose Jimenez, and Regina Poyatos. “Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.” In Computer Analysis of Images and Patterns, 6854:286–93. Springer Nature, 2011. https://doi.org/10.1007/978-3-642-23672-3_35.
R. Gonzalez-Diaz, A. Ion, M. J. Jimenez, and R. Poyatos, “Incremental-decremental algorithm for computing AT-models and persistent homology,” in Computer Analysis of Images and Patterns, Seville, Spain, 2011, vol. 6854, pp. 286–293.
Gonzalez-Diaz R, Ion A, Jimenez MJ, Poyatos R. 2011. Incremental-decremental algorithm for computing AT-models and persistent homology. Computer Analysis of Images and Patterns. CAIP: International Conference on Computer Analysis of Images and Patterns, LNCS, vol. 6854, 286–293.
Gonzalez-Diaz, Rocio, et al. “Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.” Computer Analysis of Images and Patterns, vol. 6854, Springer Nature, 2011, pp. 286–93, doi:10.1007/978-3-642-23672-3_35.
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