Topological persistence and simplification

H. Edelsbrunner, D. Letscher, A. Zomorodian, Discrete & Computational Geometry 28 (2002) 511–533.

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Abstract
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.
Publishing Year
Date Published
2002-12-01
Journal Title
Discrete & Computational Geometry
Acknowledgement
ARO under grant DAAG55-98-1-0177, NSF under grant CCR-97-12088.
Volume
28
Issue
4
Page
511 - 533
IST-REx-ID

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Edelsbrunner H, Letscher D, Zomorodian A. Topological persistence and simplification. Discrete & Computational Geometry. 2002;28(4):511-533. doi:10.1007/s00454-002-2885-2
Edelsbrunner, H., Letscher, D., & Zomorodian, A. (2002). Topological persistence and simplification. Discrete & Computational Geometry, 28(4), 511–533. https://doi.org/10.1007/s00454-002-2885-2
Edelsbrunner, Herbert, David Letscher, and Afra Zomorodian. “Topological Persistence and Simplification.” Discrete & Computational Geometry 28, no. 4 (2002): 511–33. https://doi.org/10.1007/s00454-002-2885-2.
H. Edelsbrunner, D. Letscher, and A. Zomorodian, “Topological persistence and simplification,” Discrete & Computational Geometry, vol. 28, no. 4, pp. 511–533, 2002.
Edelsbrunner H, Letscher D, Zomorodian A. 2002. Topological persistence and simplification. Discrete & Computational Geometry. 28(4), 511–533.
Edelsbrunner, Herbert, et al. “Topological Persistence and Simplification.” Discrete & Computational Geometry, vol. 28, no. 4, Springer, 2002, pp. 511–33, doi:10.1007/s00454-002-2885-2.

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