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Topological persistence and simplification

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3 Author(s)
Edelsbrunner, H. ; Dept. of Comput. Sci., Duke Univ., Durham, NC, USA ; Letscher, D. ; Zomorodian, A.

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 completing persistence and experimental evidence for their speed and utility

Published in:

Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on

Date of Conference:

2000