A level set method for the construction of anisotropic boundary-conforming Voronoi regions and Delaunay triangulations
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چکیده
We interpret a Voronoi region as the shape achieved by a crystal that grows from a seed and stops growing when it reaches either the domain boundary or another crystal. Using this analogy we devise a method for generating anisotropic boundary-conforming Voronoi regions and their dual Delaunay triangulation for a set of points. The method simulates the propagation of crystals as evolving fronts modelled by a level set method. The generation of anisotropic Voronoi regions is achieved by re-interpreting the user-specificied Riemmanian metric in terms of the propagation speed normal to the boundary of the crystal.
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تاریخ انتشار 2011