Minimum spanning ellipsoids

  • Authors:
  • Mark J. Post

  • Affiliations:
  • -

  • Venue:
  • STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
  • Year:
  • 1984

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Abstract

The notion of a minimum spanning ellipsoid in any dimension is explained. Basic definitions and theorems provide the ideas for an algorithm to find the minimum spanning ellipsoid of a set of points, i.e., the ellipsoid of minimum volume containing the set. The run-time of the algorithm O (n2) independent of dimension, where n is the number of points.