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The Delaunay Triangulation by Grid Subdivision

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3482))

Abstract

This study presents an efficient algorithm of Delaunay triangulation by grid subdivision. The proposed algorithm show a superior performance in terms of execution time to the incremental algorithm and uniform grid method mainly due to the efficient way of searching a mate. In the proposed algorithm, uniform grids are divided into sub-grids depending on the density of points and areas with high chance of finding a mate is explored first. Most of the previous researches have focused on theoretical aspects of the triangulation, but this study presents empirical results of computer implementation in 2-dimension and 3-dimension, respectively.

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© 2005 Springer-Verlag Berlin Heidelberg

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Park, S.H., Lee, S.S., Kim, J.H. (2005). The Delaunay Triangulation by Grid Subdivision. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3482. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424857_111

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  • DOI: https://doi.org/10.1007/11424857_111

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25862-9

  • Online ISBN: 978-3-540-32045-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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