| 任意B样条曲面的多分辨率表示及光顺 |
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| 引用本文： | 孙延奎 朱心雄. 任意B样条曲面的多分辨率表示及光顺[J]. 工程图学学报, 1998, 0(3): 49-54 |
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| 作者姓名： | 孙延奎 朱心雄 |
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| 作者单位： | 北京航空航天大学制造工程系 |
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| 摘 要： | 本文着重研究具有任意 节占矢量的端点插值Ｂ样条曲线曲面的多分产率表示在Ｂ样条曲面光顺中的应用。
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| 关 键 词： | 多分辨率表示 B样条曲面 光顺 小波光顺法 |
MULTIRESOLUTION REPRESENTATIONS AND FAIRING OF B SPLINE SURFACES |
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| Sun Yankui Zhu Xinxiong. MULTIRESOLUTION REPRESENTATIONS AND FAIRING OF B SPLINE SURFACES[J]. Journal of Engineering Graphics, 1998, 0(3): 49-54 |
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| Authors: | Sun Yankui Zhu Xinxiong |
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| Affiliation: | Sun Yankui Zhu Xinxiong Department of Manufacturing Engineering Beijing University of Aeronautics and Astronautics |
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| Abstract: | Investigated in this paper are the multiresolution representations of endpoint interpolating B spline curves/surfaces defined by arbitrary knot vectors and their applications in fairing B spline surfaces.An approach is proposed to approximate any B spline curve/surface by a quasi uniform one,and,then,to converte the orignal one into multiresolution form by the multiresolution representation of the approximating one.The algorithms suggested are general and simple.Sample shows that to fair B spline surfaces by wavelet decomposition posesses two prominent advantages:high computing efficiency and proper trade off between approximating error and the number of control points of approximating surface(i.e fairing surface). |
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| Keywords: | multiresolution representations B spline wavelets wavelet decomposition wavelet based fairing method |
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