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• W2950581908 abstract "We consider the problem of estimating filamentary structure from planar point process data. We make some connections with computational geometry and we develop nonparametric methods for estimating the filaments. We show that, under weak conditions, the filaments have a simple geometric representation as the medial axis of the data distribution's support. Our methods convert an estimator of the support's boundary into an estimator of the filaments. We also find the rates of convergence of our estimators." @default.
• W2950581908 created "2019-06-27" @default.
• W2950581908 creator A5046605202 @default.
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• W2950581908 date "2010-03-25" @default.
• W2950581908 modified "2023-09-27" @default.
• W2950581908 title "The Geometry of Nonparametric Filament Estimation" @default.
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• W2950581908 hasPublicationYear "2010" @default.
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