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Rolling-Ball method for estimating the boundary of the support of a point-process intensity

Hall, Peter; Park, B; Turlach, B

Description

We suggest a generalisation of the convex-hull method, or 'DEA' approach, for estimating the boundary or frontier of the support of a point cloud. Figuratively, our method involves rolling a ball around the cloud, and using the equilibrium positions of the ball to define an estimator of the envelope of the point cloud. Constructively, we use these ideas to remove lines from a triangulation of the points, and thereby compute a generalised form of a convex hull. The radius of the ball acts as a...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
URI: http://hdl.handle.net/1885/71948
Source: Annales de l Institut Henri Poincare B: Probability and Statistics
DOI: 10.1016/S0246-0203(02)01132-9

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