| 基于小波分析和三次有理Bezier样条的曲线光顺算法 |
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| 引用本文： | 石岩,彭国华,张力宁,周敏.基于小波分析和三次有理Bezier样条的曲线光顺算法[J].科学技术与工程,2006,6(20):3291-3294. |
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| 作者姓名： | 石岩 彭国华 张力宁 周敏 |
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| 作者单位： | 西北工业大学应用数学系,西安710072 |
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| 摘 要： | 给出了一种先对初始曲率进行小波分解，再用变步长的方法选取待插值点，最后利用C^2连续的三次有理Bezier样条插值重建出光顺的平面曲线的方法。这种方法能适应逆向工程中处理海量数据的重建要求，可以直接处理含噪声的数据。采取变步长选取待插值点，避免选用坏点，提高了光顺效果。算例表明该光顺方法得到了良好的光顺效果，具有很强的适用性。
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| 关 键 词： | 光顺 小波 有理Bezier曲线 |
| 文章编号： | 1671-1815(2006)20-3291-04 |
| 收稿时间： | 2006-06-20 |
| 修稿时间： | 2006年6月20日 |
A Fairing Method for Curves Based on Wavelet and Rational Cubic Bezier Spline Curve |
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| SHI Yan,PENG Guohu,ZHANG Lining,ZHOU Min.A Fairing Method for Curves Based on Wavelet and Rational Cubic Bezier Spline Curve[J].Science Technology and Engineering,2006,6(20):3291-3294. |
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| Authors: | SHI Yan PENG Guohu ZHANG Lining ZHOU Min |
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| Abstract: | A new method for planar curves has been developed. Curvature signal is decomposed with wavelet at first, and then select interpolative dots by altering pace, which is used to construct a G2 continuous rational cubic Bezier spline curve. This method can meet the reconstruction request of processing tons of data in reverse engineering, and dispose data with noise directly. Furthermore, by altering pace to select interpolative dots, this method can avoid selecting evil dots to advance the effectiveness. The effectiveness and the adaptability of this method are proved with some examples. |
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| Keywords: | fairing wavelet rational cubic Bezier curve |
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