| 多形状参数的四阶均匀B样条曲线设计 |
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| 引用本文： | 左传桂,汪国昭.多形状参数的四阶均匀B样条曲线设计[J].浙江大学学报(理学版),2007,34(4):401-404. |
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| 作者姓名： | 左传桂 汪国昭 |
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| 作者单位： | 1. 浙江大学,数学系,计算机图像图形研究所,浙江,杭州,310027;江苏财经职业技术学院,江苏,淮安,223001
2. 浙江大学,数学系,计算机图像图形研究所,浙江,杭州,310027 |
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| 摘 要： | 给出带有四个形状参数的四阶均匀B样条调配函数，它以三次均匀B样条基函数为特殊情况．基于所给出的调配函数，得到带多个形状参数的分段多项式曲线的生成方法．通过改变形状参数的取值，可以调整曲线的形状．选取不同的形状参数值，可以得到不同位置的C^2连续曲线，这些曲线与三次均匀B样条曲线有相同的端点性质，并且给出曲线设计的实例．
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| 关 键 词： | 多形状参数 形状参数 B样条 曲线设计 |
| 文章编号： | 1008-9497（2007）04-401-04 |
| 修稿时间： | 2005-12-02 |
Curve desigh of multi-parameter uniform B-spline blending function of order four |
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| ZUO Chuan-gui,WANG Guo-zhao.Curve desigh of multi-parameter uniform B-spline blending function of order four[J].Journal of Zhejiang University(Sciences Edition),2007,34(4):401-404. |
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| Authors: | ZUO Chuan-gui WANG Guo-zhao |
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| Institution: | 1. Institute of Image Processing and Computer Graphics, Department of Mathematics, Zhej iang University, Hangzhou 310027, China ~ 2. J iangsu Vocational College of Finance and Economics, Jiangsu 223001, China |
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| Abstract: | A multi-parameter uniform B-Spline blending function is given. Based on the blending function a method of generating piecewise polynomial curves with four shape parameters is obtained. By changing the value of the shape parameters, the shape and the location of the curves are adjusted. For the given value of the shape parameters the generated curves have the same continuous orders and the same endpoint properties as the cubic uniform B-spline curves. Some modeling examples of the curve design are given. |
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| Keywords: | multi-parameter shape parameter B-spline curve design |
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