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Abstract

Given a set of n points in the plane, a method is described for constructing a nested sequence of m < n/2 convex polygons based on the points. If the points are a random sample, it is shown that the convex sets share some of the distributional properties of one-dimensional order statistics. An algorithm which requires 0(n3) time and 0(n2) space is described for constructing the sequence of convex sets.

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© 1982 Physica-Verlag, Vienna for IASC (International Association for Statistical Computing)

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Eddy, W.F. (1982). Convex Hull Peeling. In: Caussinus, H., Ettinger, P., Tomassone, R. (eds) COMPSTAT 1982 5th Symposium held at Toulouse 1982. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-51461-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-51461-6_4

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7051-0002-2

  • Online ISBN: 978-3-642-51461-6

  • eBook Packages: Springer Book Archive

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