Abstract
AbstractThe optimal Delaunay triangulation (ODT) is an effective approach in improving the quality of inner vertices of a tetrahedral mesh. Recently it had been extended boundary-optimized Delaunay triangulation (B-ODT), in which both inner and boundary vertices are repositioned by analytically minimizing the \(\mathcal{L}^{1}\) error between a paraboloid function and its piecewise linear interpolation over the neighborhood of each vertex. In the present work, we describe a smoothing method that is based on the B-ODT method but has better performance. We smooth the mesh in an edge-by-edge fashion by adjusting each pair of vertices of every edge. This method has the volume-preserving and sharp-feature-preserving properties. A number of experiments are included to demonstrate the performance of our method.KeywordsTopology OptimizationTetrahedral MeshBoundary VertexOriginal MeshBody Centered CubicThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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