Mesh Parameterization with Generalized Discrete Conformal Maps

  • Authors:
  • Colin Cartade;Christian Mercat;Rémy Malgouyres;Chafik Samir

  • Affiliations:
  • LIMOS, Clermont-Université, Aubière, France 63172;IUFM, Université Lyon 1, Vileurbanne, France 69622;LIMOS, Clermont-Université, Aubière, France 63172;ISIT, Clermont-Université, Aubière, France 63172

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2013

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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 also be adapted to preserve metric properties. To demonstrate the efficiency of our method, many examples are shown in the experiment section.