曲线光顺性定量分析的光顺因子法
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摘要
目前产品的光顺效果评定大都基于定性分析。针对现有评定方法主观性强,计算效率低下等缺陷,提出一种定量评定光顺效果的方法。该方法先将曲线平移变换以消除坐标的影响,然后进行小波光顺,基于小波光顺前后曲线的尺度,定义修正系数α,修正小波光顺后的细节部分,由修正后的细节部分和尺度部分构建光顺性定量指标光顺因子λ,通过计算光顺因子λ实现定量评定光顺效果。工程实例表明,提出的定量分析方法可作为光顺效果评定的可靠工具。
The current evaluation of the fairing effect of a product is mainly based on qualitative analysis. To overcome the defects of the existing evaluation methods, such as subjectivity and low computation efficiency, a quantitative method is proposed. Firstly, the curve is translated to eliminate the influence of the coordinates. Secondly, the curve is faired by wavelet decomposition. Then the detail part is corrected by the correction coefficient α defined by the wavelets fairing scales. Finally, the corrected detail part and the scale part are used to construct the fairness quantity index λ, which is also called fairness factor. The fairing effect can be evaluated quantitatively by calculating the fairness factor λ. An engineering example is given to demonstrate that the method can be used as a reliable tool for evaluating the fairing effect of the product.
The current evaluation of the fairing effect of a product is mainly based on qualitative analysis. To overcome the defects of the existing evaluation methods, such as subjectivity and low computation efficiency, a quantitative method is proposed. Firstly, the curve is translated to eliminate the influence of the coordinates. Secondly, the curve is faired by wavelet decomposition. Then the detail part is corrected by the correction coefficient α defined by the wavelets fairing scales. Finally, the corrected detail part and the scale part are used to construct the fairness quantity index λ, which is also called fairness factor. The fairing effect can be evaluated quantitatively by calculating the fairness factor λ. An engineering example is given to demonstrate that the method can be used as a reliable tool for evaluating the fairing effect of the product.
引文
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[14] 高尚鹏,徐家川.基于模糊层次分析法车身A级曲面评价[J].机械科学与技术,2012,31(3):388-391Gao S P,Xu J C.The evaluation for class a surfaces of auto body based on FAHP[J].Mechanical Science and Technology for Aerospace Engineering,2012,31(3):388-391 (in Chinese)
[15] Wang A Z,Zhao G.Curvature variation factor and its application[J].International Journal of Wavelets,Multiresolution and Information Processing,2017,15(2):1750013
[2] 纪小刚,杨艳,薛杰.基于多分辨技术的任意控制顶点曲面光顺[J].机械工程学报,2015,51(11):159-164Ji X G,Yang Y,Xue J.Multi-resolution analysis based fairing algorithm to surfaces with any amount of control vertices[J].Journal of Mechanical Engineering,2015,51(11):159-164 (in Chinese)
[3] Wang A Z,Zhao G.Wavelet based surface decomposition with boundary continuity[J].Computer-Aided Design and Applications,2015,12(4):452-456
[4] Dong B,Jiang Q T,Liu C Q,et al.Multiscale representation of surfaces by tight wavelet frames with applications to denoising[J].Applied and Computational Harmonic Analysis,2016,41(2):561-589
[5] 李晓慧,王聪.基于小波框架的非局部曲面去噪[J].电子设计工程,2017,25(10):178-181,185Li X H,Wang C.Wavelet frame based nonlocal surface fairing[J].Electronic Design Engineering,2017,25(10):178-181,185 (in Chinese)
[6] Patrikalakis N M,Maekawa T.Shape interrogation for computer aided design and manufacturing[M].Berlin:Springer,2002
[7] Hahmann S,Belyaev A,Busé L,et al.Shape interrogation[M]//De Floriani L,Spagnuolo M.Shape Analysis and Structuring.Berlin,Heidelberg:Springer,2008:1-51
[8] 姚琴.汽车外覆盖件曲面重构技术及品质提高方法研究[D].重庆:重庆交通大学,2014Yao Q.Study on curve reconstruction in automobile outer panels and methods on quality improvement[D].Chongqing:Chongqing Jiaotong University,2014 (in Chinese)
[9] Gyurecz G,Renner G.Correction of highlight line structures[C]//Proceedings of IFIP TC 5 International Conference on Digital Product and Process Development Systems.Dresden,Germany:Springer,2013:230-238
[10] 薛杰,纪小刚,朱仕魁,等.曲面品质分析中反射线算法优化[J].机械科学与技术,2017,36(3):417-421Xue J,Ji X G,Zhu S K,et al.Optimization algorithm of reflection lines for surface interrogation[J].Mechanical Science and Technology for Aerospace Engineering,2017,36(3):417-421 (in Chinese)
[11] Gobithaasan R U,Miura K T.Logarithmic curvature graph as a shape interrogation tool[J].Applied Mathematical Sciences,2014,8(16):755-765
[12] 王正如,梁晋,王立忠,等.基于模糊综合评价的车身曲面品质分析[J].中国机械工程,2011,22(6):748-751Wang Z R,Liang J,Wang L Z,et al.Study on quality evaluation of automobile surfaces based on fuzzy comprehensive evaluation[J].China Mechanical Engineering,2011,22(6):748-751 (in Chinese)
[13] 吴桃生,李志敏,冯孝忠,等.高速列车司机室复杂曲面制造质量评价[J].上海交通大学学报,2012,46(5):706-711Wu T S,Li Z M,Feng X Z,et al.Manufacturing quality evaluation for the complex curved surface of high-speed train driver room[J].Journal of Shanghai Jiaotong University,2012,46(5):706-711 (in Chinese)
[14] 高尚鹏,徐家川.基于模糊层次分析法车身A级曲面评价[J].机械科学与技术,2012,31(3):388-391Gao S P,Xu J C.The evaluation for class a surfaces of auto body based on FAHP[J].Mechanical Science and Technology for Aerospace Engineering,2012,31(3):388-391 (in Chinese)
[15] Wang A Z,Zhao G.Curvature variation factor and its application[J].International Journal of Wavelets,Multiresolution and Information Processing,2017,15(2):1750013
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