Duality in Disk Induced Flows

  • Authors:
  • Joachim Giesen;Matthias John

  • Affiliations:
  • -;-

  • Venue:
  • ICCS '02 Proceedings of the International Conference on Computational Science-Part III
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

We introduce a condition that establishes a duality known from Delaunay triangulations and Voronoi diagrams for diagrams associated with a class of dynamical systems defined via a set of disks in the plane. Under this condition the maximum geometric and worst case algorithmic complexities of the latter diagrams decrease. The condition is natural in the sense that it is automatically fulfilled by some important classes of sets of disks in the plane.