条纹反射法测量三维面形中的积分算法
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摘要
基于不同梯度数据噪声,研究讨论了几种典型的梯度积分算法,并提出了一种改进的Southwell全局积分算法.以重建面形和原始面形的相似度、均方根误差作为算法性能参数,对梯度数据进行模拟测试.搭建条纹反射实验平台,对标准凹球面反射镜进行积分重建,并将条纹反射法测量结果和实际元件参数进行对比.实验结果表明:用改进的Southwell算法重建的凹球面的半径误差为0.09%,结构相似度大于0.999,其重建速度为原算法的1.2倍.改进后的Southwell算法相较于传统的积分算法,获得了更高的重建质量和重建效率,满足镜面物体测量的非接触、精度高、稳定性强等要求.
Based on the noise of different gradient data,several typical gradient integral algorithms are studied and discussed,an improved Southwell global integral algorithm was proposed.Taking the similarity and root mean square error between the reconstructed surface and the original surface as the performance parameters,the gradient data was simulated.A fringe reflection experiment platform was built to reconstruct the standard concave spherical mirror,and the fringe reflection measurement results were compared with the actual component parameters.The experimental results show that the radius error of the concave sphere reconstructed by the improved Southwell algorithm is 0.09%,the structural similarity is greater than 0.999,and the reconstruction speed is 1.2 times that of the original algorithm.Compared with the traditional integration algorithm,the improved Southwell algorithm achieves higher reconstruction quality and reconstruction efficiency,and meets the requirements of non-contact,high accuracy and strong stability of the mirror object measurement.
Based on the noise of different gradient data,several typical gradient integral algorithms are studied and discussed,an improved Southwell global integral algorithm was proposed.Taking the similarity and root mean square error between the reconstructed surface and the original surface as the performance parameters,the gradient data was simulated.A fringe reflection experiment platform was built to reconstruct the standard concave spherical mirror,and the fringe reflection measurement results were compared with the actual component parameters.The experimental results show that the radius error of the concave sphere reconstructed by the improved Southwell algorithm is 0.09%,the structural similarity is greater than 0.999,and the reconstruction speed is 1.2 times that of the original algorithm.Compared with the traditional integration algorithm,the improved Southwell algorithm achieves higher reconstruction quality and reconstruction efficiency,and meets the requirements of non-contact,high accuracy and strong stability of the mirror object measurement.
引文
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[2]WU Zhong-quan,LI Ling-xiao.A line-integration based method for depth recovery from surface normals[J].Computer Vision Graphics&Image Processing,1988,43(1):53-66.
[3]LIU Jing-feng,LI Yan-qiu,LIU Ke.New path-following phase unwrapping algorithm based on quality-guided[J].OptoElectronic Engineering,2007,34(12):104-107.刘景峰,李艳秋,刘克.一种新的质量图导引路径积分相位展开算法[J].光电工程,2008,34(12):104-107.
[4]FRANKOT R T,CHELLAPPA R.A method for enforcing integrability in shape from shading algorithms[J].IEEETransactions on Pattern Analysis and Machine Intelligence,1988,10(4):439-451.
[5]ARAWAL A,RASKAR R,CHELLAPPA R.What is the range of surface reconstructions from a gradient field[C].European Conference on Computer Vision.Springer-Verlag,2006:578-591.
[6]ARAWAL A,CHELLAPPA R,RASKAR R.An algebraic approach to surface reconstruction from gradient fields[C].Tenth IEEE International Conference on Computer Vision,IEEE Computer Society,2005:174-181.
[7]SOUTHWELL W H.Wave-front estimation from wave-front slope measurements[J].Journal of the Optical Society of America,1980,70(8):998-1006.
[8]CHEN Yan-chang.Applicartion of geometric correction to the fringe reflection method for object profile measurement[D].Tainan:Cheng Kung University,2008.陈延昌.应用几何校正于条纹反射法作物体外貌量测[D].台南:成功大学,2008.
[9]YI Jing-ya.Study on mobile phone shell inside and outside surface quality inspection based on fringe projection and fringe reflection technologies[D].Chengdu:University of Electronic Science and Technology of China,2016.易京亚.基于条纹投影和条纹反射的手机壳内外表面质量检测方法[D].成都:电子科技大学,2016.
[10]LI Ming-yang.Study on the solar cell wafer surface quality inspection based on the fringe reflection technique[D].Chengdu:University of Electronic Science and Technology of China,2016.李明阳.基于条纹反射的太阳能电池硅晶片表面质量检测方法研究[D].成都:电子科技大学,2016.
[11]JIANG Ming,ZHANG Shu,HE Xiao-yuan.Instantaneous three-dimensional profile measurement of tail fin of carp[J].Optics and Precision Engineering,2009,17(9):2165-2169.蒋明,张曙,何小元.鲤鱼尾鳍瞬时三维形态测量[J].光学精密工程,2009,17(9):2165-2169.
[12]DAI Mei-ling,YANG Fu-jun,HE Xiao-yuan.Three-dimensional shape measurement of objects with discontinuities by dual-frequency color fringe projection[J].Optics and Precision Engineering,2013,21(1):7-12.戴美玲,杨福俊,何小元.基于双频彩色光栅投影测量不连续物体三维形貌[J].光学精密工程,2013,21(1):7-12.
[13]YUAN Ting,ZHANG Feng,TAO Xiao-ping.et al.Test of optical mirror surface using fringe reflection system[J].Acta Photonica Sinica,2015,44(9):0912004.袁婷,张峰,陶小平,等.条纹反射法检测光学反射镜面形[J].光子学报,2015,44(9):0912004.
[14]WANG Zhou,BOVIK A C,SHEIKH H R,et al.Image quality assessment:from error visibility to structural similarity[J].IEEE Transactions on Image Processing,2004,13(4):600-612.
[15]ZHU Li,LI Qiao-liang,ZHANG Ting,et al.Metric of image quality based on structural similarity[J].Opt-Electronic Engineering,2007,34(11):108-113朱里,李乔亮,张婷,等.基于结构相似性的图像质量评价方法[J].光电工程,2007,34(11):108-113.
[16]LI Hong,LIU Fang,YANG Shu-yuan,et al.Remote sensing image fusion based on deep support value learning networks[J].Chinese Journal of Computers,2016,39(8):1583-1596.李红,刘芳,杨淑媛,等.基于深度支撑值学习网络的遥感图像融合[J].计算机学报,2016,39(8):1583-1596.