Direct Spherical Parameterization of 3D Triangular Meshes Using Local Flattening Operations

  • Bogdan Mocanu
  • Titus Zaharia
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6938)


In this paper, we propose a novel spherical parameterization approach for closed, genus-0, two-manifold, 3D triangular meshes. The method exploits a modified version of the Gaussian curvature, associated to the model vertices. Valid spherical embeddings are obtained by locally flattening the mesh in an iterative manner, which makes it possible to convert the initial mesh into a rounded, sphere-like surface that can be directly mapped onto the unit sphere. Our approach shows superior performances with respect to state of the art techniques, with a reduction in terms of angular and area distortions of more than 35% and 19% respectively.


Gaussian Curvature Parametric Domain Initial Mesh Mesh Vertex Mesh Simplification 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Bogdan Mocanu
    • 1
  • Titus Zaharia
    • 1
  1. 1.Institut Télécom / Télécom SudParis, ARTEMIS Department, UMR CNRS 8145 MAP5EvryFrance

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