J4 ›› 2010, Vol. 48 ›› Issue (02): 157-162.

• 数学 •    下一篇

用径向基函数隐式拟合点云数据

杜新伟1, 杨孝英2, 梁学章1   

  1. 1. 吉林大学 数学研究所, 长春 130012; 2. 长春工业大学 基础科学学院, 长春 130012
  • 收稿日期:2009-07-25 出版日期:2010-03-26 发布日期:2010-03-22
  • 通讯作者: 杜新伟 E-mail:duxw@jlu.edu.cn

Implicit Fitting of Point Cloud Data viaRadial Basis Functions

DU Xinwei1, YANG Xiaoying2, LIANG Xuezhang1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. School of Basic Sciences, Changchun University of Technology, Changchun 130012, China
  • Received:2009-07-25 Online:2010-03-26 Published:2010-03-22
  • Contact: DU Xinwei E-mail:duxw@jlu.edu.cn

摘要:

提出一种新方法拟合散乱点云数据. 拟合曲面由一个三变量模型的零水平集定义, 该三变量模型是基于径向基函数散乱数据的一个隐式最小二乘拟合. 数值实验结果表明, 新方法比基于径向基函数的插值曲面方法快, 并且容易实现.

关键词: 曲面插值; 曲面拟合; 点云; 径向基函数

Abstract:

A new technique is described for fitting scattered point cloud data. The fitting surface is determined as zero level isosurface of a tri
variate mode which is an implicit least squares fit of the data based upon radial basis functions. According to our numerical experiments, the new method is essentially faster than interpolating surface method based upon radial basis functions, and much simpler to implement.

Key words: surface interpolating, surface fitting, point clouds; radial basis function

中图分类号: 

  • O241.5