A Quasi-Laplacian Smoothing Approach on Arbitrary Triangular Meshes

A new method for smoothing triangular meshes is presented. Mean curvature normal is used to define a Quasi-Laplacian for smoothing inner vertices at a local region. Vertices are moved along the normal direction in a more appropriate velocity which can make mesh smoothing and shape preserving harmonizing well. For the boundary vertices, a new method for estimating the mean curvature normal is presented, so that for an arbitrary triangular mesh, the inner and the boundary vertices can be smoothed by the same smoothing process. Features of the original mesh can be preserved by the weighted mean curvature normal restriction of the neighbors of one vertex effectively. Experiments of comparison between the new method and previous methods are included in this paper.