Authors: Herbert Edelsbrunner , David Letscher , Afra Zomorodian - IEEE Symposium on Foundations of Computer Science, FOCS 2000 cited by 1,789
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.
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