3D mesh segmentation based on granularity of quotient space theory
基于商空间粒度理论的三维网格分割方法

Through the study of existing mesh segmentation and model simplification methods, this paper analyzed the granu-larity computing of quotient space theory in the 3D mesh segmentation and introduced the granularity computing of quotient space theory to the mesh segmentation and described the process of mesh segmentation. Put forward the principle of mesh seg-mentation based on the granularity computing of quotient space theory, and then propounded mesh segmentation based on hier-archical and synthesis technique. Formed the different granularity areas by extracting respectively the geometrical characteris-tics of triangular mesh area with this algorithm, then organized these granularities according to the theory of granularity synthe-sis so as to realize the final segmentation of three-dimensional meshes, which provided fast and effective method for the model simplification. The results show that the proposed algorithm is effective and valid for the mesh segmentation.