Quality surface meshing using discrete parametrizations

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Abstract

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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Marchandise, E., Remacle, J. F., & Geuzaine, C. (2011). Quality surface meshing using discrete parametrizations. In Proceedings of the 20th International Meshing Roundtable, IMR 2011 (pp. 21–39). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-24734-7_2

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