| C-B样条曲线的光顺逼近算法研究 |
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| 引用本文： | 杨雅迪,秦新强,胡钢,党发宁,刘飞.C-B样条曲线的光顺逼近算法研究[J].计算机工程与应用,2009,45(35):205-207. |
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| 作者姓名： | 杨雅迪 秦新强 胡钢 党发宁 刘飞 |
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| 作者单位： | 西安理工大学理学院,西安,710054 |
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| 基金项目： | 国家自然科学基金，陕西省教育厅基金项目 |
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| 摘 要： | 基于弹性均匀细梁的应力能和扰动能的光顺优化,提出了一种光顺C-B样条曲线的算法。该算法的基本思想是:通过调整控制参数和控制顶点使得曲线的能量最小,得到最优的光顺逼近曲线。通过最小二乘法和非线性泛函的极小值优化计算,对平面数据点进行光顺逼近,达到了光顺的目的。最后,给出了由数据拟合的C-B样条曲线光顺的实例。实例结果表明,该算法为C-B样条曲线的光顺问题提供了一种有效的新方法。
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| 关 键 词： | 光顺 逼近 C-B样条曲线 最小二乘法 极小泛函 |
| 收稿时间： | 2008-7-10 |
| 修稿时间： | 2008-10-13
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Research on fairing and approximation algorithm of C-B spline curves |
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| YANG Ya-di,QIN Xin-qiang,HU Gang,DANG Fa-ning,LIU Fei.Research on fairing and approximation algorithm of C-B spline curves[J].Computer Engineering and Applications,2009,45(35):205-207. |
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| Authors: | YANG Ya-di QIN Xin-qiang HU Gang DANG Fa-ning LIU Fei |
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| Affiliation: | School of Science，Xi’an University of Technology，Xi’an 710054，China |
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| Abstract: | Based on the fairing requirements of the strain energy and jerk energy of a thin elastic beam，a method of fairing C-B spline curves is given.The mean idea is：Fairing of C-B spline curves is fulfilled by adjusting the value of parameterand control points to reduce the implied energy.By using the technique of least square approximation and non-linear functional minimization，the data points of plane can be faired approximately.Finally，examples of C-B spline curve fairing show the efficiency of the method.The numerical example shows that this algorithm provides an effect and new method for the fairing of C-B spline curves. |
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| Keywords: | fairing approximation C-B spline curves least-squares solution minimizing function |
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