Knot intervals and multi-degree splines

  title={Knot intervals and multi-degree splines},
  author={Thomas W. Sederberg and Jianmin Zheng and Xiaowen Song},
  journal={Computer Aided Geometric Design},
This paper studies the merits of using knot interval notation for B-spline curves, and presents formulae in terms of knot intervals for common B-spline operations such as knot insertion, differentiation, and degree elevation. Using knot interval notation, the paper introduces MD-splines, which are B-spline-like curves that are comprised of polynomial segments of various degrees (MD stands for “multi-degree”). MD-splines are a generalization of B-spline curves in that if all curve segments in an… CONTINUE READING


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Convexity-preserving polynomial splines of non-uniform degree

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3 Excerpts

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