| 三次非均匀B-样条曲线的扩展 |
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| 引用本文： | 梁清清,朱功勤.三次非均匀B-样条曲线的扩展[J].合肥工业大学学报(自然科学版),2005,28(7):829-832. |
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| 作者姓名： | 梁清清 朱功勤 |
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| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009;合肥工业大学,理学院,安徽,合肥,230009 |
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| 摘 要： | 给出四次多项式调配函数,它是三次非均匀B-样条函数的扩展;基于给出的调配函数,建立一种带多个形状参数的分段多项式曲线的生成方法;通过改变各个形状参数的取值,可以调整曲线接近其控制多边形的程度;选取不同的形状参数值,可以得到不同位置的G2连续的曲线,且所给曲线与三次非均匀B-样条曲线有相同的性质。
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| 关 键 词： | 三次非均匀B-样条 形状参数 G2连续 |
| 文章编号： | 1003-5060(2005)07-0829-04 |
| 修稿时间： | 2004年8月20日 |
An extension of the cubic non-uniform B-spline curve |
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| LIANG Qing-qing,ZHU Gong-qin.An extension of the cubic non-uniform B-spline curve[J].Journal of Hefei University of Technology(Natural Science),2005,28(7):829-832. |
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| Authors: | LIANG Qing-qing ZHU Gong-qin |
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| Abstract: | A class of polynomial blending functions of degree four is presented,which is an extension of the cubic non-uniform B-spline curve. Based on the blending functions,a method of generating piecewise polynomial curves with several shape parameters is obtained. By changing the value of the shape parameters,the approaching degree of the curves to their control polygon can be adjusted. For the given value of the shape parameters, the generated curves can be G~2 continuous and have the same properties as the cubic non-uniform B-spline curves. |
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| Keywords: | cubic non-uniform B-spline curve shape parameter G~2 continuity |
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