二维方向小波构造的新型散斑相位奇异法测量面内微位移
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摘要
提出了一种二维方向小波构造的新型散斑相位奇异法测量面内微位移。根据二维方向小波的极化分析能力,选取旋转角度为π/2,分别对位移前后的图像进行x和y方向的极化分析,构造了一种网状结构的分布稳定的相位奇异点图;提出了两步位移测量的新方法,通过两次傅里叶变换和减运算输出的两个相关亮点图像得到初步位移量,由初步位移的半网格宽度和匹配最邻近奇异点对间的位移求待测物体的精确位移;分别进行仿真模拟和激光鼠标定位实验。结果表明,奇异点在不同噪声条件下的正确匹配率在90%以上,实际的鼠标位移和方向与测量值的鼠标位移和方向之间的误差小于0.5 pixel和1°。该方法具有奇异点正确匹配率高、测量精度高、对噪声不敏感、稳定性好等优点,能够精确定位激光鼠标的位移和方向。
A new speckle phase singularities method generated by two-dimensional directional wavelet is proposed to measure micro in-plane displacement. A phase singularities image is generated by polarization analysis of twodimensional directional wavelet, setting the rotation angle be π/2 in order to analyze the image before and after displacement of x and y directions, which has network structure stable distribution. The new two-step displacement measurement method is proposed. Preliminary displacement is obtained in the output two correlation points image by using twice Fourier transform and subtraction. The precision displacement of object to be measured is calculated by half the grid width of the initial displacement and displacement between the closest matching singular point. It is studied that simulation and laser mouse positioning experiment. Results show that correct matching singularities are still more than 90% under different noise conditions and the error between actual value and measured value of mouse displacement and direction is less than 0.5 pixel and 1°. This method has many advantages, such as high rate of singularity correct matching, high accuracy, insensitive to noise and good stability, which can precisely locate the displacement and direction of the laser mouse.
A new speckle phase singularities method generated by two-dimensional directional wavelet is proposed to measure micro in-plane displacement. A phase singularities image is generated by polarization analysis of twodimensional directional wavelet, setting the rotation angle be π/2 in order to analyze the image before and after displacement of x and y directions, which has network structure stable distribution. The new two-step displacement measurement method is proposed. Preliminary displacement is obtained in the output two correlation points image by using twice Fourier transform and subtraction. The precision displacement of object to be measured is calculated by half the grid width of the initial displacement and displacement between the closest matching singular point. It is studied that simulation and laser mouse positioning experiment. Results show that correct matching singularities are still more than 90% under different noise conditions and the error between actual value and measured value of mouse displacement and direction is less than 0.5 pixel and 1°. This method has many advantages, such as high rate of singularity correct matching, high accuracy, insensitive to noise and good stability, which can precisely locate the displacement and direction of the laser mouse.
引文
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15 Yang Yuhang,Chen Yu,Li He,et al..In-plane micro-displacement measurement based on digital speckle correlation method in frequency domain[J].Infrared and Laser Engineering,2014,43(4):1301-1305.杨宇航,陈宇,李鹤,等.基于频域数字散斑相关方法的面内微位移测量[J].红外与激光工程,2014,43(4):1301-1305.
16 Yuan Dan,Liu Yi,Hu Yuming.Improvement of two-dimensional displacement measurement based on fast Fourier transform[J].Physics Experimentation,2013,33(4):37-40.袁丹,刘艺,胡宇明.基于快速傅里叶变换的二维位移测量的改进[J].物理实验,2013,33(4):37-40.
17 P Zhou,K E Goodson.Subpixel Displacement and deformation gradient measurement using digital image/speckle correlation[J].Opt Eng,2001,40(8):1613-1620.
18 Yan Haitao,Wang Ming.Orientation of mouse using digital speckle correlation method[J].Acta Optica Sinica,2008,28(3):467-471.闫海涛,王鸣.数字散斑相关方法实现鼠标定位原理[J].光学学报,2008,28(3):467-471.
2 Li Jianxin,Cui Yanjun,Zhu Rihong,et al..Micro-displacement variation measurement by using laser interference based on wavelet transform[J].Chinese J Lasers,2012,39(8):0808002.李建欣,崔艳军,朱日宏,等.基于小波变换的激光干涉微位移变化量测量方法[J].中国激光,2012,39(8):0808002.
3 Bing Pan,Kemao Qian,Huimin Xie,et al..Two-dimensional digital image correlation for in-plane displacement and strain measurement:a review[J].Meas Sci Technol,2009,20(6):1-17.
4 Mudassar A A,Butt S.Improved digital image correlation for in-plane displacement measurement[J].Appl Opt,2014,53(5):960-970.
5 J Huang,X Pan,X Peng,et al..Digital image correlation with self-adaptive Gaussian windows[J].Experimental Mechanics,2013,53(3):505-512.
6 Yu Zhijing,Tao Hongwei.Investigation of the optimal light condition on digital image correlation method[J].Laser&Optoelectronics Progress,2014,51(10):101201.于之靖,淘洪伟.数字散斑相关技术最优光照条件研究[J].激光与光电子进展,2014,51(10):101201.
7 Liang Zhenning,Yin Bo,Wang Shigang.Study on effect of subset size on digital image correlation with a new method[J].Acta Optica Sinica,2014,34(12):1212005.梁振宁,印波,王石刚.研究子窗口对数字散斑相关计算影响的新方法[J].光学学报,2014,34(12):1212005.
8 Yuan Yuan,Jianyong Huang,Xiaoling Peng,et al..Accurate displacement measurement via a self-adaptive digital image correlation method based on a weighted ZNSSD criterion[J].Opt&Lasers in Eng,2014,52:75-85.
9 Wei Wang,Tomoaki Yokozeki,Reika Ishijima,et al..Optical vortex metrology based on the core structures of phase singularities in laguerre-gauss transform of a speckle pattern[J].Opt Express,2006,14(22):10195-10206.
10 LüFangjie,Jin Weihua,Li Xinzhong,et al..Micro in-plane displacement measurement using digital speckle correlation method based on phase vortices[J].Journal of Optoelectronics·Laser,2013,24(11):2180-2185.吕芳捷,金伟华,李新忠,等.面内微位移测量的散斑相位涡旋相关方法研究[J].光电子·激光,2013,24(11):2180-2185.
11 Ana Laura Vadnjal,Pablo Etchepareborda,Alejandro Federico,et al..Measurement of in-plane displacements using the phase singularities generated by directional wavelet transforms of speckle pattern images[J].Appl Opt,2013,52(9):1805-1813.
12 Wu Yiquan,Ye Zhilong,Wan Hong.Speckle noise suppression of reconstructed image based on dual-tree complex wavelet and anisotropic diffusion[J].Chinese J Lasers,2013,40(4):0409002.吴一全,叶志龙,万红.双树复小波和各向异性扩散再现像散斑噪声抑制[J].中国激光,2013,40(4):0409002.
13 J P.Antoinea,R Murenzib.Two-dimensional directional wavelets and the scale-angle representation[J].Signal Processing,1996,52(3):259-281.
14 Alejandro Federico,Guillermo H Kaufmann.Phase retrieval of singular scalar light fieldsusing a two-dimensional directional wavelet transform and a spatial carrier[J].Appl Opt,2008,47(28):5201-5207.
15 Yang Yuhang,Chen Yu,Li He,et al..In-plane micro-displacement measurement based on digital speckle correlation method in frequency domain[J].Infrared and Laser Engineering,2014,43(4):1301-1305.杨宇航,陈宇,李鹤,等.基于频域数字散斑相关方法的面内微位移测量[J].红外与激光工程,2014,43(4):1301-1305.
16 Yuan Dan,Liu Yi,Hu Yuming.Improvement of two-dimensional displacement measurement based on fast Fourier transform[J].Physics Experimentation,2013,33(4):37-40.袁丹,刘艺,胡宇明.基于快速傅里叶变换的二维位移测量的改进[J].物理实验,2013,33(4):37-40.
17 P Zhou,K E Goodson.Subpixel Displacement and deformation gradient measurement using digital image/speckle correlation[J].Opt Eng,2001,40(8):1613-1620.
18 Yan Haitao,Wang Ming.Orientation of mouse using digital speckle correlation method[J].Acta Optica Sinica,2008,28(3):467-471.闫海涛,王鸣.数字散斑相关方法实现鼠标定位原理[J].光学学报,2008,28(3):467-471.