Library of Efficient Datatypes and Algorithms
LEP: Abstract Voronoi Diagrams
     A Program to calculate Abstract Voronoi Diagrams
Download Software 
Version 1.5
Download Documentation 
    If you want to get update information concerning this package please contact seel@mpi-sb.mpg.de to be put on a mailing list.
Contact 
Michael Seel 
MPI Informatik 
Im Stadtwald 
66123 Saarbrücken 
Germany 
email: seel@mpi-sb.mpg.de 
      This LEP implements the construction of a class of Voronoi diagrams called Abstract Voronoi Diagrams. At first it provides a framework which can be used to calculate Abstract Voronoi Diagrams in the plane. To get a program which calculates a concrete type of Voronoi diagram the user has to implement some basis operations which allow the adaptation of the framework to the concrete geometry of the problem. The framework is already adapted to the problem of Euclidean Voronoi diagram of points and line segments in the plane.
Bibliography 
  • Eine Implementierung abstrakter Voronoidiagramme, M. Seel, Diplomarbeit, 1994
  • Zur Konstruktion abstrakter Voronoidiagramme, S. Meiser, Dissertation, 1993
  • Exact Computation of Voronoi diagrams and Line Segment Intersections, C. Burnikel, Dissertation, 1996
  • On the Construction of Abstract Voronoi Diagrams, K. Mehlhorn and S. Meiser and C. O'D'unlaing, Discrete and Computational Geometry, 1991
  • On the Construction of Abstract Voronoi Diagrams, part II, R. Klein and K. Mehlhorn and S. Meiser, LNCS 450, 1990

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person responsible for the page: Michael Seel