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Research on Curved Surface Reconstruction and Decomposition with Uniform B-spline Wavelet

PAN Yang-yu(1,3),LI Dong-bo1,YANG Hui2 (1.School of Mechanical Engineering,Nanjing University of Science and Technology,Nanjing 210094,Jiansu,China;2.Artillery Institute Nanjing Branch,Nanjing 211132,Jiangsu,China;3.Huaian Institute of Information and Technology,Huaian 223003,Jiangsu,China)  
Considering the peculiarity of cloudy data measured by three-coordinate measuring machine,the data pre-treatment was correspondingly adopted.By delaminating and ordering the measured data points,and constructing rectangle grids using re-sampling technique,uniform B-spline curved surface interpolation was realized.Based on the theory of multi-resolution analysis,applying the methods of Bspline wavelet and mirror expansion to decompose the reconstructed curved surface with wavelet,multi-rank approximate curved surfaces can be obtained,that is easy to transmit and to compress data in real time.The corresponding modules were tapped,the reconstructed and decomposed curved surfaces can be saved as IGES files using writing engine,which can be introduced directly in commercial 3-D CAD software for further processing with better engineering applied value.
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