%A QIN Hong-Xing-1, YANG Jie-2 %T Point-Based Surface Filtering Based on Meshless Local Petrov-Galerkin Method %0 Journal Article %D 2012 %J Journal of Shanghai Jiao Tong University %R %P 584-590 %V 46 %N 04 %U {https://xuebao.sjtu.edu.cn/CN/abstract/article_39974.shtml} %8 2012-04-28 %X This paper presented a meshless approach for pointbased surface filtering based on meshless local PetrovGalerkin method. For the approach, there is neither need to construct local or global triangular meshes, nor need of global parameterization. By computing local tangent space, local symmetric weak form for every point is constructed in terms of anisotropic diffusion equation. Then PDEspecific mass and stiffness matrices are constructed. The corresponding sparse linear system is solved with an iterative solver. The obtained results show that the approach can smooth noises on pointbased surfaces while preserving geometric feature. Its efficiency is comparable with that of the traditional finite element method.