534 The Platonic Solids Applications : Case Study of Mesh Segmentation
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In this paper, we present the results of applying the platonic solids for segmentation of the triangular surface mesh. Mesh segmentation has become an important step in model understanding and can be used as a useful tool for different applications, for instance, modeling and reverse engineering. Our approach is based on an idea to use of normal vectors of all faces of the selected platonic solid as the direction vectors for grouping the mesh elements. The selection of the best platonic solid for a given model by finding the optimum value of a cost function with many local minima is one part of our investigation. Each group of triangles (segment) can be used for local mesh denoising. Features of initial models can be restored during the denoising process. Also the platonic solids approach could be extended to extract features from a surface triangular mesh.
