期刊
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE C-COMPUTERS & ELECTRONICS
卷 12, 期 10, 页码 800-808出版社
ZHEJIANG UNIV
DOI: 10.1631/jzus.C1000381
关键词
Non-uniform B-spline; Shape parameter; Degree elevation
类别
资金
- National Natural Science Foundation of China [60970079, 60933008, 61100105, 61100107]
- Natural Science Foundation of Fujian Province of China [2011J05007]
- National Defense Basic Scientific Research Program of China [B1420110155]
We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user's perspective.
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