中文摘要：

讨论了基于点云数据的曲面表示问题．采用ε-支持向量回归机和v-支持向量回归机实现点云数据的两次预处理．使用贪婪算法求解几何优化问题，从而得到点云数据的一个曲面表示，实验结果表明，所提方法具有建模光顺性好、处理速度快等优点．

英文摘要：

Curve expression based on point cloud is discussed, ε-Support Vector Regression Machine （ε- SVRM） and v-Support Vector Regression Machine （v-SVRM） are proposed to preprocess point cloud data twice. Geometrical optimization is solved by greedy algorithm, and a curve expression based on point cloud is obtained. Experiment results show that the proposed method is of such advantages as smooth curving and fast processing speed.