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WAVELET-BASED FAIRING OF B-SPLINE SURFACES
作者姓名:孙延奎  朱心雄
作者单位:SUN Yan kui (孙延奎),ZHU Xin xiong (朱心雄) (School of Mechanical Engineering and Automation,Beijing University of Aeronautics and Astronautics,Beijing 100083,China)
摘    要:Inrecentyears,waveletanalysisgetsmoreandmoreapplicationsincomputergraphics[1],includingradiositycomputation[2],curveandsurfac...


Wavelet-based fairing of B-spline surfaces
SUN Yan-kui,ZHU Xin-xiong.WAVELET-BASED FAIRING OF B-SPLINE SURFACES[J].Chinese Journal of Aeronautics,1999,12(3):02-136.
Authors:SUN Yan-kui  ZHU Xin-xiong
Abstract:A method of fairing B spline surfaces by wavelet decomposition is investigated. The wavelet decomposition and reconstruction of quasi uniform bicubic B spline surfaces are described in detail. A method is introduced to approximate a B spline surface by a quasi uniform one. An error control approach for wavelet based fairing is suggested. Samples are given to show the feasibility of the algorithms presented in this paper. The practice showed that the wavelet based fairing is better than energy based one in case where the number of vertices of the B spline surface is greater than 1000. The quantitative variance of the approximation error in accordance with the change of decomposition levels needs to be further explored.
Keywords:multiresolution    representations  wavelet decomposition  approximating error  wavelet  based fairing method  
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