Mesh Simplification by Volume Variation with Feature Preserving

A new algorithm for mesh simplification with triangle constriction is presented in this paper. Constricting error defined by a combination of square volume error variation with constraint (SVEC), shape factor and normal constraint factor of triangle. Gauss curvature factor of each constricted triangle is used to distinguish strong feature triangle or nonstrong feature triangle. The triangle which has minimum constricting error is constricted firstly. For non-strong feature triangle, new vertex position is determined by minimizing the constriction error of mesh model. For strong feature triangle, the vertex with maximal absolute Gauss curvature of the three triangle vertices is used as the new vertex. Experiments show the efficiency of the new algorithm.