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基于双树复小波变换的三维粗糙表面评定方法研究
引用本文:任志英,高诚辉,林建兴,申丁. 基于双树复小波变换的三维粗糙表面评定方法研究[J]. 中国机械工程, 2014, 25(13): 1795-1799
作者姓名:任志英  高诚辉  林建兴  申丁
作者单位:福州大学,福州,350108
基金项目:国家自然科学基金资助项目(51175085,51205062);福建省教育厅A类项目(JA13059);福州大学科技发展基金资助项目(600907)
摘    要:针对目前用于提取三维粗糙表面基准面的第一和第二代小波存在的平移变动性与方向性差等缺点,以及最优小波基的选取和小波分解次数的确定等难点,提出将第三代小波变换--双树复小波变换(DT-CWT)用于三维粗糙表面的评定。通过比较三代小波实际重构图像以及仿真三维粗糙表面的误差和最大重构误差,得出了DT-CWT最优的结论;采用频带能量法确定DT-CWT的分解次数,并用仿真三维表面表征参数均方差S来验证得出的分解次数的正确性。最后用DT-CWT对具有分形特征的三维非平稳随机粗糙表面进行基准面的提取,结果验证了所提出方法的有效性。

关 键 词:双树复小波变换  评定基准面  频带能量法;三维粗糙表面  

Evaluation Method of Three-dimensional Rough Surface Based on Dual-tree Complex Wavelet Transform Methods
Ren Zhiying,Gao Chenghui,Lin Jianxing,Shen Ding. Evaluation Method of Three-dimensional Rough Surface Based on Dual-tree Complex Wavelet Transform Methods[J]. China Mechanical Engineering, 2014, 25(13): 1795-1799
Authors:Ren Zhiying  Gao Chenghui  Lin Jianxing  Shen Ding
Affiliation:Fuzhou University,Fuzhou,350108
Abstract:At present, wavelet transform applied to the establishment of three-dimensional rough surface datum was mainly the first and the second-generation wavelet. However, they had some defects such as the shift variation and poor directional selectivity and so on, especially the selection of optimum wavelet base and the determination of the times of wavelet decomposition, which was always the difficult points of surface evaluation. Now the third generation wavelet DT-CWT was used for valuation of three-dimensional rough surfaces, by comparing the datum errors and maximum reconstruction error of the actual reconstruction images of the three wavelets as well as simulation of three-dimensional rough surface, the optimality of DT-CWT was obtained. Band energy method was employed to ascertain the times of wavelet decomposition and then mean square error S which was the characterization parameter of three dimensional simulation surfaces was used to check the correctness of decomposition times. Finally, the reference surface of the three dimensional nonstationary random rough surface with fractal properties was extracted by DT-CWT transform. The results prove the effectiveness.
Keywords:dual-tree complex wavelet transform(DT-CWT),evaluation datum,band energy method  three-dimensional rough surface,
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