| B样条曲线的自动光顺算法--最小二乘能量法 |
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| 引用本文： | 何时剑.B样条曲线的自动光顺算法--最小二乘能量法[J].机电产品开发与创新,2005,18(1):93-95. |
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| 作者姓名： | 何时剑 |
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| 作者单位： | 淮安信息职业技术学院,江苏,淮安,223001 |
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| 摘 要： | 在曲线光顺的传统能量法与最小二乘法的基础上,提出了一种新的B样条曲线光顺算法-最小二乘能量法。只需指定相关参数或权因子的值,该方法即能自动完成曲线光顺过程。经该方法光顺后的曲线不仅应变能较小,且曲率变化较均匀。同时通过迭代调整控制顶点位置,使光顺前后曲线达到一定的逼近性要求。
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| 关 键 词： | B样条曲线 光顺 最小二乘能量法 逼近 |
| 文章编号： | 1002-6673(2005)01-093-03 |
| 修稿时间： | 2004年10月10 |
Automatic Fairing of B-spline Curves by Least Squares-energy Method |
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| HE Shi-Jian.Automatic Fairing of B-spline Curves by Least Squares-energy Method[J].Development & Innovation of Machinery & Electrical Products,2005,18(1):93-95. |
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| Authors: | HE Shi-Jian |
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| Abstract: | Based on the curve fairing methods of energy and least squares, a new algorithm-least squares-energy method, for fairing of B-spline curves is proposed. Once several related parameters appointed, this algorithm can automatically perform the fairing process. Furthermore, this algorithm guarantees the faired curves with low strain energy and evenly curvature shift. By iteratively adjusting positions of control vertices, the desired approximation between curves before and after fairing can be attained. |
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| Keywords: | B-spline curves fairing least squares-energy method approximation |
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