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Quality Surface Meshing Using Discrete Parametrizations

Marchandise, Emilie, Jean-Francois Rainaud, and Christophe Geuzaine

20th International Meshing Roundtable, Springer-Verlag, pp.21-39, October 23-26 2011


20th International Meshing Roundtable
Paris, France
October 23-26, 2011

Universitie catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (iMMC), Place du Levant 1, 1348 Louvain-la-Neuve, Belgium, Universitie de Liege, Department of Electrical Engineering and Computer Science, Montemore Institute B28, Grande Traverse 10, 4000 Liege, Belgium

We present 3 mapping/flattening techniques for triangulations of poor quality triangles. The implementation of those mappings as well as the boundary conditions are presented in a very comprehensive manner such that it becomes accessible to a wider community than the one of computer graphics. The resulting parameterizations are used to generate new triangulations or quadrilateral meshes for the model that are of high quality.

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