| 一类广义的三角多项式均匀B样条曲线 |
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| 引用本文： | 朱玲.一类广义的三角多项式均匀B样条曲线[J].佳木斯大学学报,2011,29(1):126-129,132. |
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| 作者姓名： | 朱玲 |
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| 作者单位： | 合肥工业大学数学学院; |
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| 基金项目： | 高等学校博士学科点专项科研基金(2008JYXJ0828); 安徽省自然科学基金(090416232); 安徽省人才流动开发基金(2010AHST0183) |
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| 摘 要： | 为了实现从均匀B样条曲线到三角多项式均匀B样条曲线的过渡,定义了一种n阶广义的三角多项式均匀B样条曲线.这种样条曲线包含了n阶均匀B样条曲线和n阶三角多项式均匀B样条曲线以及介于它们之间的无数曲线,随着阶数的升高,形状参数的取值范围也将扩大.
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| 关 键 词： | 均匀B样条 三角多项式均匀B样条 基函数 曲线设计 |
A Generalized Trigonometric Polynomial Uniform B-Spline with Shape Parameter |
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| ZHU Ling.A Generalized Trigonometric Polynomial Uniform B-Spline with Shape Parameter[J].Journal of Jiamusi University(Natural Science Edition),2011,29(1):126-129,132. |
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| Authors: | ZHU Ling |
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| Institution: | ZHU Ling(School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | In order to realize the transition from uniform B-spline to trigonometric polynomial uniform B-spline curves,the curve of nth order generalized trigonometric polynomial uniform B-spline is defined.The curve contains the nth order uniform B-spline,trigonometric polynomial uniform B-spline curve and many curves between them.With the elevation of order,feasible range of the shape parameter value is extended too. |
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| Keywords: | uniform B-spline trigonometric polynomial uniform B-spline basis function curve design |
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