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H. Edelsbrunner, D. Letscher, A. Zomorodian, Topological Persistence and Simplification, In Proc. 41st Ann. IEEE Sympos. Found Comput. Sci (2000), pp. 454-463.
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 life-time
or persistence within the filtration.
We give fast algorithms for computing persistence
and experimental evidence for their speed and utility.
Bibtex:
@InProceedings{elz-tps-00,
author = "Edelsbrunner, H. and Letscher, D. and Zomorodian, A.",
title = "Topological persistence and simplification",
booktitle = "Proc. 41st Ann. IEEE Sympos. Found Comput. Sci.",
year = 2000,
pages = "454--463",
}
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