1-link shortest paths in weighted regions

  • Authors:
  • Ovidiu Daescu;James D. Palmer

  • Affiliations:
  • The University of Texas at Dallas, Richardson, TX;The University of Texas at Dallas, Richardson, TX

  • Venue:
  • SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
  • Year:
  • 2005

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Abstract

We illustrate the Link Solver software for computing 1-link shortest paths in weighted regions. The Link Solver implements a prune-and-search method that can be used to approximate an optimal solution within a user specified precision. The theoretical foundation of the method is a result stating that an optimal solution goes through a vertex of the subdivision. This result provides a way to discretize the problem with respect to vertices of interest which in turn leads to efficient algorithms.