Discrete Tensorial Quasi-Harmonic Maps

  • Authors:
  • Rhaleb Zayer;Christian Rossl;Hans-Peter Seidel

  • Affiliations:
  • Max-Planck-Institut für Informatik;Max-Planck-Institut für Informatik;Max-Planck-Institut für Informatik

  • Venue:
  • SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
  • Year:
  • 2005

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Abstract

We introduce new linear operators for surface parameterization. Given an initial mapping from the parametric plane onto asurface mesh, we establish a secondary map from the planeonto itself that mimics the initial one. The resulting low-distortionparameterization is smooth as it stems from solving a quasi-harmonicequation. Our parameterization method is robust and independentof (the quality of) the initial map.