| B样条曲线的小波光顺法 |
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| 引用本文： | 孙延奎,朱心雄.B样条曲线的小波光顺法[J].工程图学学报,1998(4). |
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| 作者姓名： | 孙延奎 朱心雄 |
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| 作者单位： | 北京航空航天大学机械学院 |
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| 基金项目： | 国家自然科学基金!69673005 |
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| 摘 要： | 本文研究了B样条曲线的小波光顺法。首先介绍了利用准均匀B样条曲线逼近具有任意节点矢量的B样条曲线的方法，从而将任意B样条曲线转化为多分辨率表示，进而提出了基于小波的曲线光顺误差控制算法。小波光顺法在光顺曲线的同时具有减少控制顶点的作用，兼具简单性和通用性的优点。
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| 关 键 词： | 多分辨率表示 尺度函数 B样条小波 小波光顺法 |
Wavelet-Based Fairing of B-spline Curves |
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| Yankui Sun, Xinxiong Zhu.Wavelet-Based Fairing of B-spline Curves[J].Journal of Engineering Graphics,1998(4). |
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| Authors: | Yankui Sun Xinxiong Zhu |
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| Affiliation: | School of Mechanical Engineering and AutomationBeijing University of Aeronautics and Astronautics |
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| Abstract: | A method of fairing B-spline curves by wavclet decomposition is invcStigated. First, the B-spline curve defined by arbitrary knot vector is approximated by a quasi-uniform B-spline forming the base for multiresolution representations. Then, the fairing process can be realized step by step. An error control approach is suggested to ensure that the fairing is satisfactory Also, the wavelet-based fairing method possesses the function to reduce the number of control vertices,i.e.the function of dare compression. The algorithms presented are genetal and simple. |
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| Keywords: | multiresolution representations scaling functions B-spline wavelets wavelet-based fairing method |
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