Degree elevation of B-spline curves
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An algorithm is presented which expresses any given linear combination of B-splines of order k as a linear combination of B-splines of order k + 1. This algorithm consists of two parts: (1) A simple representation of the curve by a sum of B-splines of order k + 1, and (2) a representation of these splines on a common knot vector by inserting new knots.
[1] W. Boehm. Inserting New Knots into B-spline Curves , 1980 .
[2] C. Micchelli,et al. On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids , 1982 .
[3] Wayne Tiller,et al. Rational B-Splines for Curve and Surface Representation , 1983, IEEE Computer Graphics and Applications.
[4] Tom Lyche,et al. Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics , 1980 .