Abstract: In order to enhance the quality of triangular mesh model and meet the rectuiremented of follow-up treatment,this paper presented a mesh smoothing algorithm based on neighborhood similarity. Firstly, contrasting to the gray values of image pixels,bilateral filtering differential operator was constructed as geometric gray value of the vertex Then neighborhood similarity was calculated between vertexes and the result was used as weight of geometric gray value for each vertex I}he final geometric gray value of a vertex was the average weight of its neighbor vertexes' geometric gray values. Finally, the vertex moved geometric gray value size of distance along its normal direction, and then we would get the smoothed model. Experiments demonstrate that this algorithm can acquire smoothing models and maintains their geometrical features effectively at the same time.

Key words: Triangular mesh, Geometric gray value, Bilateral filter, Geometric feature