| 基于双正交非均匀B样条小波的曲面光顺 |
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| 引用本文： | 吴福鸣,潘日晶.基于双正交非均匀B样条小波的曲面光顺[J].福建师范大学学报(自然科学版),2010,26(1). |
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| 作者姓名： | 吴福鸣 潘日晶 |
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| 作者单位： | 福建师范大学数学与计算机科学学院,福建,福州,350007 |
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| 基金项目： | 国家自然科学基金资助项目(60673014);;福建省自然科学基金资助项目(A0610007) |
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| 摘 要： | 提出非均匀B样条曲面的一种整体光顺方法和一种局部光顺方法.首先利用双正交非均匀B样条小波,对非均匀B样条曲面进行小波分解;然后将若干层细节部分按一定的比例适当丢弃后实现曲面的整体光顺.利用小波表示的细节部分找出坏的节点,从而找出与坏节点有关的细节部分的控制顶点,通过对这些控制顶点进行修改,达到曲面局部光顺的目的.最后给出实例验证算法的有效性.
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| 关 键 词： | 双正交 小波 非均匀B样条曲面 光顺 |
Surface Fairing Based on Biorthogonal Nonuniform B-spline Wavelets |
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| WU Fu-ming,PAN Ri-jing.Surface Fairing Based on Biorthogonal Nonuniform B-spline Wavelets[J].Journal of Fujian Teachers University(Natural Science),2010,26(1). |
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| Authors: | WU Fu-ming PAN Ri-jing |
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| Institution: | School of Mathematics and Computer Science;Fujian Normal University;Fuzhou 350007;China |
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| Abstract: | Propose a global fairing algorithm and a local fairing algorithm for nonuniform B-spline surfaces. Use the biorthogonal nonuniform B-spline wavelets for the decomposition of B-spline surfaces. The global fairing of surfaces is realized through cutting several levels of detail parts with given proportion. The local faring is realized by modifying the control points of detail parts related to the bad knot pairs which are located through the analyzing the detail parts. Several examples are presented to validat... |
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| Keywords: | biorthogonal wavelets nonuniform B-spline surface fairing |
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