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

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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

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

CLC Number: 

  • O241.5