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Degree reduction of B-spline curves

✍ Scribed by Jun-Hai Yong; Shi-Min Hu; Jia-Guang Sun; Xing-Yu Tan

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
112 KB
Volume
18
Category
Article
ISSN
0167-8396

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✦ Synopsis

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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