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Optimized surface discretization of functionally defined multi-material objects
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DOI：10.1016/j.advengsoft.2011.10.007.png)
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摘要
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We present in this paper an algorithm for meshing implicit surfaces based on the Delaunay triangulation of a point-set adaptively sampled on an implicit surface. To improve the quality of the resulting triangular mesh, we use at each iteration a mesh optimization algorithm with the following objectives: optimizing the connectivity, retrieving the sharp features, regularizing the triangles shapes and minimizing the approximation error. Then, we extend this algorithm in order to handle functionally defined heterogeneous object surfaces, while maintaining a good quality for the triangles' shapes and the mesh features (geometrical sharp features and boundaries between different materials). (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Implicit surface
Function representation
Meshing
Mesh optimization
Delaunay triangulation
Multi-material object
Heterogeneous object
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