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On the Hausdorff Voronoi Diagram of Point Clusters in the Plane

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2748))

Abstract

We study the Hausdorff Voronoi diagram of point clusters in the plane and derive a tight combinatorial bound on its structural complexity. We present a plane sweep algorithm for the construction of this diagram improving upon previous results. Motivation for the investigation of this type of Voronoi diagram comes from the problem of computing the critical area of a VLSI Layout, a measure reflecting the sensitivity of the design to spot defects during manufacturing.

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© 2003 Springer-Verlag Berlin Heidelberg

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Papadopoulou, E. (2003). On the Hausdorff Voronoi Diagram of Point Clusters in the Plane. In: Dehne, F., Sack, JR., Smid, M. (eds) Algorithms and Data Structures. WADS 2003. Lecture Notes in Computer Science, vol 2748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45078-8_38

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  • DOI: https://doi.org/10.1007/978-3-540-45078-8_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40545-0

  • Online ISBN: 978-3-540-45078-8

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