Article

Discrete & Computational Geometry

, Volume 1, Issue 1, pp 155-182

A polynomial solution for the potato-peeling problem

  • J. S. ChangAffiliated withCourant Institute of Mathematical Sciences, New York University
  • , C. K. YapAffiliated withCourant Institute of Mathematical Sciences, New York University

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Abstract

The potato-peeling problem asks for the largest convex polygon contained inside a given simple polygon. We give anO(n 7) time algorithm to this problem, answering a question of Goodman. We also give anO(n 6) time algorithm if the desired polygon is maximized with respect to perimeter.