Cutting a convex polyhedron out of a sphere

  • Authors:
  • Syed Ishtiaque Ahmed;Masud Hasan;Md. Ariful Islam

  • Affiliations:
  • Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

  • Venue:
  • WALCOM'10 Proceedings of the 4th international conference on Algorithms and Computation
  • Year:
  • 2010

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Abstract

Given a convex polyhedron P of n vertices inside a sphere Q, we give an O(n3)-time algorithm that cuts P out of Q by using guillotine cuts and has cutting cost O(log2n) times the optimal.