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On the performance of peeling algorithms

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  • Michel Petitjean
  • Gilbert Saporta

Abstract

The peeling of a d‐dimensional set of points is usually performed with successive calls to a convex hull algorithm; the optimal worst‐case convex hull algorithm, known to have an O(n˙ Log (n)) execution time, may give an O(n˙n˙ Log (n)) to peel all the set; an O(n˙n) convex hull algorithm, m being the number of extremal points, is shown to peel every set with an O(n‐n) time, and proved to be optimal; an implementation of this algorithm is given for planar sets and spatial sets, but the latter give only an approximate O(n˙n) performance.

Suggested Citation

  • Michel Petitjean & Gilbert Saporta, 1992. "On the performance of peeling algorithms," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 8(2), pages 91-98, June.
    • Handle: RePEc:wly:apsmda:v:8:y:1992:i:2:p:91-98
    DOI: 10.1002/asm.3150080204
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    Cited by:

    1. Denys Yemshanov & Frank H. Koch & Yakov Ben‐Haim & Marla Downing & Frank Sapio & Marty Siltanen, 2013. "A New Multicriteria Risk Mapping Approach Based on a Multiattribute Frontier Concept," Risk Analysis, John Wiley & Sons, vol. 33(9), pages 1694-1709, September.

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