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Mesh Model Simplification Using Normal Vectors

CHEN You-ping,LIU Shi-qing,YUAN Chu-ming,MA Zi-yan,ZHOU Zu-de(National Research Centre of Numerical Control System,Huazhong University of Science and Technology,Wuhan Hubei 430074,China)  
A mesh simplification algorithm based on normal vector of vertices and triangle facets is proposed to keep perfect visual effect even after a drastic simplification.Edge collapse is used to achieve model simplification.First,the deviation from planarity of each vertex of mesh model is established and used to measure the contribution of local shape to the visual effect.Then,the shape change caused by reorganizing triangles in simplified mesh model is evaluated to measure the deformation degree of the visual effect resulting from the edge collapse.Finally,the non-planarity of vertex and the degree of triangle deformation are combined,and the cost function of edge collapse is established to guide the mesh simplification.In addition,based on this simplification algorithm,a framework of progressive mesh transmission is also implemented as a browser-based visualized prototyping system.
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