On the selection of a platonic solid for mesh segmentation

In present paper we propose a method for optimization of the choice of the platonic solid which is used for triangular mesh segmentation. Our approach is based on the idea to apply the platonic solids for surface mesh segmentation. The main contribution of this paper is the selection of the best platonic solid for a given model by finding the optimum value of a cost function with many local minima. Two functions are proposed for the selection of the best platonic solid to be used in a real application. Thanks to the proposed functions, the selection of the best model is done automatically. Experimental results show that method can be applied as guidance for shape modeling in reverse engineering.