Abstract: This paper presented a new mesh simplification algorithm based on stochastic sampling driving by local geometric feature. First,local geometric feature value of each triangle was computed and the selection probability of the triangle was acquired according to the probability distribution function. Then, the selection triangles were collapsed and new vertices were generated by minimization volume change between the original mesh and the simplify mesh. The expenment results show that mesh models are simplified and the volume is kept while the detail feature is preserved.

Key words: Probability distribution function, Geometric feature, Trianglc collapse, Mmesh simplification