| 带形状调整参数的一阶三角B样条曲线 |
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| 引用本文： | 王晶昕,张嘉洋,郭丽霞.带形状调整参数的一阶三角B样条曲线[J].辽宁师范大学学报(自然科学版),2013(3):309-313. |
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| 作者姓名： | 王晶昕 张嘉洋 郭丽霞 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连116029 |
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| 基金项目： | 国家自然科学基金项目（11226326） |
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| 摘 要： | 给出了一阶三角B样条基函数的构造,讨论这种基函数的性质以及在具有重节点情形时的变化,并利用这类三角B样条基构造了相应的三角B样条函数及三角B样条曲线.还给出了用带调节参数的控制点方法生成一阶三角B样条曲线以便对曲线形状进行调整的方法.讨论了如何利用这类B样条基以及带参数的控制点方法生成可调形状的三角样条曲线的问题.
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| 关 键 词： | 一阶三角B样条基 带参数的控制点 三角B样条曲线 |
One order trigonometric B-spline curves with shape parameters |
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| WANG Jingxin,ZHANG Jia yang,GUO Lixia.One order trigonometric B-spline curves with shape parameters[J].Journal of Liaoning Normal University(Natural Science Edition),2013(3):309-313. |
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| Authors: | WANG Jingxin ZHANG Jia yang GUO Lixia |
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| Institution: | (School of Mathematics, Liaoning Normal University, Dalian 116029, China) |
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| Abstract: | The construction of the one order trigonometric B-spline basic functions is presented in this paper. The properties of the basic functions and the case of multiple knots of the basic functions are discussed. This kind basic function can be used to construct trigonometric spline functions and trigo- nometric spline curves. By the method of control points trasformation, a kind of spline curve with shape parameters is presented and discussed. |
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| Keywords: | 1-order trigonometric B-spline basic functions control points with parameters trigono-metric B-spline curves |
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