A parallel algorithm based on convexity for the computing of Delaunay tessellation

  • Authors:
  • Phan Thanh An;Le Hong Trang

  • Affiliations:
  • Center for Mathematics and its Applications (CEMAT), Instituto Superior Técnico, Lisboa, Portugal 1049-001 and Institute of Mathematics, Hanoi, Vietnam 10307;Center for Mathematics and its Applications (CEMAT), Instituto Superior Técnico, Lisboa, Portugal 1049-001 and Faculty of Informatics and Information Technology, Vinh University, Vinh Town, V ...

  • Venue:
  • Numerical Algorithms
  • Year:
  • 2012

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Abstract

The paper describes a parallel algorithm for computing an n-dimensional Delaunay tessellation using a divide-conquer strategy. Its implementation (using MPI library for C) in the case n驴=驴2, relied on restricted areas to discard non-Delaunay edges, is executed easily on PC clusters. We shows that the convexity is a crucial factor of efficiency of the parallel implementation over the corresponding sequential one.