Estimation of the envelope of a point set with loose boundaries

Abstract : Given a point set in R2, its envelope is defined as a contour line of the density of points with a given proportion of the points excluded. Three methods are presented and compared to estimate the envelope: one is based on Voronoï tessellation, the second on a nonparametric density estimation, and the third approach is parametric. The proposed techniques are applied to detect the faster growing trees in tree growth data.
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Contributor : Nicolas Picard <>
Submitted on : Monday, May 7, 2007 - 6:07:16 PM
Last modification on : Friday, March 29, 2019 - 9:10:56 AM

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Nicolas Picard, Avner Bar-Hen. Estimation of the envelope of a point set with loose boundaries. Applied Mathematics Letters, Elsevier, 2000, 13 (7), pp.13-18. ⟨cirad-00145105⟩

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