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Parameterization of Triangulations and Unorganized Points

  • Michael Floater
  • Kai Hormann
Part of the Mathematics and Visualization book series (MATHVISUAL)

Abstract

A parameterization of a surface is a one-to-one mapping from a parameter domain to the surface. This paper studies the construction of piecewise linear parameterizations of triangulations and of discrete parameterizations of sets of unorganized points. Such parameterizations are useful tools for the approximation of triangulations by smoother surfaces as well as for the construction of triangulations from unorganized points. Parameterization can also be used as the starting point for multiresolution analysis of triangulations, through remeshing by triangulations with subdivision connectivity.

Keywords

Convex Combination Delaunay Triangulation Parameter Domain Multiresolution Analysis Texture Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Michael Floater
    • 1
  • Kai Hormann
    • 2
  1. 1.SINTEF Applied MathematicsOsloNorway
  2. 2.FB InformatikUniversity of ErlangenGermany

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