4.4 Article

Fast degree elevation and knot insertion for B-spline curves

Journal

COMPUTER AIDED GEOMETRIC DESIGN
Volume 22, Issue 2, Pages 183-197

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cagd.2004.11.001

Keywords

B-splines; degree elevation; knot insertion

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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. (C) 2004 Elsevier B.V. All rights reserved.

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