Division of a Region into Equal Areas Using Additively Weighted Power Diagrams

  • Authors:

  • Takashi Ohyama

  • Affiliations:

  • Japan Knowledge Solutions Co., Ltd.

  • Venue:
  • ISVD '07 Proceedings of the 4th International Symposium on Voronoi Diagrams in Science and Engineering
  • Year:
  • 2007

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Abstract

A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a finite set of balls in Euclidean space is repositioned so that the distance ...