A fast algorithm to raise the degree of spline curves
Computer Aided Geometric Design
Curve and surface generation and refinement based on a high speed derivative algorithm
CVGIP: Graphical Models and Image Processing
Efficient algorithms for the implementation of general B-splines
CVGIP: Graphical Models and Image Processing
The NURBS book
Knot removal for B-spline curves
Computer Aided Geometric Design
A simple, efficient degree raising algorithm for B-spline curves
Computer Aided Geometric Design
Algorithms for degree-raising of splines
ACM Transactions on Graphics (TOG)
On the degree elevation of B-spline curves and corner cutting
Computer Aided Geometric Design
Recursive representation and application of transformation matrices of B-spline bases
Computer Aided Geometric Design
Computer aided design and evaluation of new anatomic fixation system on entire pelvic model
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
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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.