Fast degree elevation and knot insertion for B-spline curves

Qi-Xing Huang Tsinghua University Shi-Min Hu Tsinghua University Ralph R Martin Cardiff University

Geometric Modeling and Processing mathscidoc:1608.16065

Computer Aided Geometric Design, 22, (2), 183-197, 2005
We give a new, simple algorithm for simultaneous degree elevation and knot insertion for B-spline curves. The method is based on the simple approach of computing derivatives using the control points, resampling the knot vector, and then computing the new control points from the derivatives. We compare our approach with previous algorithms and illustrate it with examples.
degree elevation, knot insertion, B-spline curves
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@inproceedings{qi-xing2005fast,
  title={Fast degree elevation and knot insertion for B-spline curves},
  author={Qi-Xing Huang, Shi-Min Hu, and Ralph R Martin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825100419967009444},
  booktitle={Computer Aided Geometric Design},
  volume={22},
  number={2},
  pages={183-197},
  year={2005},
}
Qi-Xing Huang, Shi-Min Hu, and Ralph R Martin. Fast degree elevation and knot insertion for B-spline curves. 2005. Vol. 22. In Computer Aided Geometric Design. pp.183-197. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825100419967009444.
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