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Smooth 2D Coordinate Systems on Discrete Surfaces

  • Colin Cartade
  • Rémy Malgouyres
  • Christian Mercat
  • Chafik Samir
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6607)

Abstract

We introduce a new method to compute conformal parameterizations using a recent definition of discrete conformity, and establish a discrete version of the Riemann mapping theorem. Our algorithm can parameterize triangular, quadrangular and digital meshes. It can be adapted to preserve metric properties. To demonstrate the efficiency of our method, many examples are shown in the experiment section.

Keywords

parameterization conformal digital surfaces 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Colin Cartade
    • 1
  • Rémy Malgouyres
    • 1
  • Christian Mercat
    • 2
  • Chafik Samir
    • 3
  1. 1.LIMOSClermont-UniversitéAubièreFrance
  2. 2.IUFMUniversité Lyon 1VileurbanneFrance
  3. 3.ISITClermont-UniversitéAubièreFrance

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