A second order algorithm for orthogonal projection onto curves and surfaces

Shi-Min Hu Tsinghua University Johannes Wallner Vienna University of Technology

Geometric Modeling and Processing mathscidoc:1608.16064

Computer Aided Geometric Design, 22, (3), 251-260, 2005
In this paper we analyze an algorithm which solves the point projection and the “inversion” problems for parametric curves and surfaces. It consists of a geometric second order iteration which converges faster than existing first order methods, and whose sensitivity to the choice of initial values is small. Applications include the ICP algorithm for shape registration.
orthogonal projection, Normal curvature; Surface
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@inproceedings{shi-min2005a,
  title={A second order algorithm for orthogonal projection onto curves and surfaces},
  author={Shi-Min Hu, and Johannes Wallner},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825100138568246443},
  booktitle={Computer Aided Geometric Design},
  volume={22},
  number={3},
  pages={251-260},
  year={2005},
}
Shi-Min Hu, and Johannes Wallner. A second order algorithm for orthogonal projection onto curves and surfaces. 2005. Vol. 22. In Computer Aided Geometric Design. pp.251-260. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825100138568246443.
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