Multiple Covers with Balls II: Weighted Averages

نویسندگان

  • Herbert Edelsbrunner
  • Mabel Iglesias Ham
چکیده

Voronoi diagrams and Delaunay triangulations have been extensively used to represent and compute geometric features of point configurations. We introduce a generalization to poset diagrams and poset complexes, which contain order-k and degree-k Voronoi diagrams and their duals as special cases. Extending a result of Aurenhammer from 1990, we show how to construct poset diagrams as weighted Voronoi diagrams of average balls.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2016