Surface Fitting Based on a Feature Sensitive Parameterization

Yu-Kun Lai Tsinghua University Shi-Min Hu Tsinghua University Helmut Pottmann Vienna University of Technology

Geometric Modeling and Processing mathscidoc:1608.16060

Computer-Aided Design, 38, (7), 800-807, 2006
Most approaches to least squares fitting of a B-spline surface to measurement data require a parametrization of the data point set and the choice of suitable knot vectors. We propose to use uniform knots in connection with a feature sensitive parametrization. This parametrization allocates more parameter space to highly curved feature regions and thus automatically provides more control points where they are needed.
least squares fitting, Feature Sensitive Parameterization, B-spline surface
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@inproceedings{yu-kun2006surface,
  title={Surface Fitting Based on a Feature Sensitive Parameterization},
  author={Yu-Kun Lai, Shi-Min Hu, and Helmut Pottmann},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160824232541814374436},
  booktitle={Computer-Aided Design},
  volume={38},
  number={7},
  pages={800-807},
  year={2006},
}
Yu-Kun Lai, Shi-Min Hu, and Helmut Pottmann. Surface Fitting Based on a Feature Sensitive Parameterization. 2006. Vol. 38. In Computer-Aided Design. pp.800-807. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160824232541814374436.
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