| 一种二次三角B样条曲线的性质 |
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| 引用本文： | 宋永志.一种二次三角B样条曲线的性质[J].许昌学院学报,2014,33(5):7-10. |
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| 作者姓名： | 宋永志 |
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| 作者单位： | 许昌学院数学与统计学院 河南许昌461000 |
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| 基金项目： | 国家自然科学基金项目，国家青年基金项目 |
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| 摘 要： | 利用构造样条基函数的方法得到了一组三角基函数,讨论了这组三角基函数的性质,用这组基得到了一种新的二次三角B样条曲线,并使用研究均匀B样条的方法探讨了这种二次三角曲线,给出了二次三角B样条曲线的一些性质.
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| 关 键 词： | 三角基函数 均匀B样条 二次三角B样条曲线 几何造型 |
Properties of Quadratic Trigonometric B-spline Curves |
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| SONG Yong-zhi.Properties of Quadratic Trigonometric B-spline Curves[J].Journal of Xuchang University,2014,33(5):7-10. |
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| Authors: | SONG Yong-zhi |
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| Institution: | SONG Yong-zhi;School of Mathematics and Statistics,Xuchang University; |
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| Abstract: | In this paper, a set of trigonometric basis functions is obtained via the method of creating spline basis functions, and the properties of this set of trigonometric basis functions is further analyzed. Then, a kind of new quadratic trigonometric B-spline curves is obtained via this set of trigonometric basis functions. This new kind of quadratic trigonometric B-spline curves is further studied with the method employed in the study of uniform Bspline. At last, some properties of this kind of new quadratic trigonometric B-spline curves are formulated. |
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| Keywords: | trigonometric basis functions uniform B-spline curves trigonometric B-spline curves geometric method |
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