关键词: 网格简化, 三角形折叠, 锥曲率, 不平滑度

Abstract: In three-dimensional modeling, a 3D mesh model often contains hundreds of millions of triangular facets, which cause a lot of inconvenience to the storage of the model as well as the drawing, rendering, transmission and interactive processing of it. This paper proposes a triangle collapsing method, which calculates each vertex’s degree of non-smoothness, determines the weight of each triangle surface and the new vertex’s location and cumulative non-smoothness after a triangle surface is deleted based on the non-smoothness of its three vertices, this paper proves that the method can maintain the geometric characteristics in a good way while simplifying a mesh by instance of verification.

Key words: mesh simplification, triangle collapse, cone-curvature, non-smoothness