Farthest line segment Voronoi diagrams

نویسندگان

  • Franz Aurenhammer
  • Robert L. Scot Drysdale
  • Hannes Krasser
چکیده

The farthest line segment Voronoi diagram shows properties different from both the closest-segment Voronoi diagram and the farthest-point Voronoi diagram. Surprisingly, this structure did not receive attention in the computational geometry literature. We analyze its combinatorial and topological properties and outline an O(n log n) time construction algorithm that is easy to implement. No restrictions are placed upon the n input line segments; they are allowed to touch or cross.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 100  شماره 

صفحات  -

تاریخ انتشار 2006