关键词: 分段光滑曲面, 面片图, 稀疏优化, 特征点, 特征线, 数据分割, 能量函数, ,

Abstract: In order to solve problems that exist in recovering datasets topology and retrieving features from point clouds，a new surface reconstruction method for piecewise smooth surfaces from point clouds is proposed.First，assemble a graph of local surface patches consisting of a set of basis functions，then establish topological connectivity among the nodes that respect sharp features，the last，search optimal coefficients for the basis functions in each node by solving a sparse optimization problem.The final representation allowes for robust finding of crease and border edges which separate the piecewise smooth parts.As output of the new method，a clean，manifold surface mesh which preserves feature lines is extracted.The experimental results show the effectiveness of the method with reconstructions of piecewise smooth surfaces.

Key words: piecewise smooth surfaces, patch-graph, sparse optimization, feature points, feature lines, segmentation, energy function