| 基于代数和三角多项式加权的二次混合样条曲线 |
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| 引用本文： | 谢进,檀结庆,李声锋. 基于代数和三角多项式加权的二次混合样条曲线[J]. 中国科学技术大学学报, 2011, 0(6) |
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| 作者姓名： | 谢进 檀结庆 李声锋 |
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| 作者单位： | 合肥学院数理系;合肥工业大学计算机与信息学院;蚌埠学院数理系; |
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| 基金项目： | 国家自然科学基金(61070227); 教育部科学技术研究重大项目(309017); 教育部博士点基金(20070359014); 安徽省教育厅教研重点项目(20100935); 合肥学院科研重点项目(11KY02ZD)资助 |
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| 摘 要： | 利用代数和三角多项式加权的方法,构造了一种二次混合样条曲线,这种曲线具有二次非均匀B样条曲线相似的性质.这里的权系数也是形状参数,称之为权参数,取值范围从[0,1]扩大到[-3.659 79,5.278 98].权参数的不同取值可以整体或局部地调整曲线的形状,并且权参数能像开关那样,使得曲线的各段非常方便灵活地在代数多项式、三角多项式之间转换.不需要用重节点或解方程组方法,而只要令某个或某些权参数取-3.659 79,曲线就能接插值于控制点或控制边.
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| 关 键 词： | 代数三角多项式 权参数 整体与局部调控 插值 混合曲线段 |
Quadratic blending spline curves based on weighted algebraic and trigonometric polynomials |
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| XIE Jin,,TAN Jieqing,LI Shengfeng. Quadratic blending spline curves based on weighted algebraic and trigonometric polynomials[J]. Journal of University of Science and Technology of China, 2011, 0(6) |
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| Authors: | XIE Jin TAN Jieqing LI Shengfeng |
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| Affiliation: | XIE Jin1,2,TAN Jieqing2,LI Shengfeng2,3(1.Department of Mathematics and Physics,Hefei University,Hefei 230601,China,2.School of Computer and Information,Hefei University of Technology,Hefei 230009,3.Department of Mathematics and Physics,Bengbu College,Bengbu 233000,China) |
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| Abstract: | A method for generating quadratic blending spline curve with weighted algebraic and trigonometric polynomial was presented.The method possesses many important properties similar to those of quadratic non-uniform B-splines.Here weight coefficients are also shape parameters,which are called weight parameters.The interval of weight parameter values can be extended to [-3.659 79,5.278 98].Taking different values of the weight parameters,one can not only totally or locally adjust the shape of the curves but also... |
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| Keywords: | algebraic and trigonometric polynomial weight parameter global or local shape control interpolation blending curve segments |
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