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期刊论文
Degree reduction of B-spline curves
Computer Aided Geometric Design 18(2001)117-127，-0001，（）：
In this paper, we propose the generalized B divided difference, with which the (k-1)th derivative of B-spline curves of order k can be obtained directly without the need to compute the first (k-2) derivatives as before. Based on the generalized B divided difference, the necessary and sufficient condition for degree-reducible B-spline curves is presented. Algorithms for degree reduction of B-spline curves are proposed using the constrained optimization methods.
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