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Front. Inform. Technol. Electron. Eng.  2011, Vol. 12 Issue (10): 800-808    DOI: 10.1631/jzus.C1000381
    
Non-uniform B-spline curves with multiple shape parameters
Juan Cao1, Guo-zhao Wang2
1 School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 2 Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Non-uniform B-spline curves with multiple shape parameters
Juan Cao1, Guo-zhao Wang2
1 School of Mathematical Sciences, Xiamen University, Xiamen 361005, China 2 Department of Mathematics, Zhejiang University, Hangzhou 310027, China
 全文: PDF(554 KB)  
摘要： 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.
关键词： Non-uniform B-spline;  Shape parameter;  Degree elevation    
Abstract: 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.
Key words: Non-uniform B-spline    Shape parameter    Degree elevation
收稿日期: 2010-11-01 出版日期: 2011-10-08
CLC:  TP391.72  
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Juan Cao, Guo-zhao Wang. Non-uniform B-spline curves with multiple shape parameters. Front. Inform. Technol. Electron. Eng., 2011, 12(10): 800-808.

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http://www.zjujournals.com/xueshu/fitee/CN/10.1631/jzus.C1000381    或    http://www.zjujournals.com/xueshu/fitee/CN/Y2011/V12/I10/800

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