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

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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 = 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.

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Correspondence to Phan Thanh An.

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An, P.T., Trang, L.H. A parallel algorithm based on convexity for the computing of Delaunay tessellation. Numer Algor 59, 347–357 (2012). https://doi.org/10.1007/s11075-011-9493-2

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  • DOI: https://doi.org/10.1007/s11075-011-9493-2

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