中国激光, 2015, 42 (11): 1108002, 网络出版: 2022-09-24
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
Micro In-Plane Displacement Measurement Using New Speckle Phase Singularities Method Generated by Two-Dimensional Directional Wavelet
测量 二维方向小波 相位奇异 面内微位移 激光鼠标 measurement two-dimensional directional wavelet phase singularities micro in-plane displacement laser mouse
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。
Abstract
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.
高毓羚, 潘广贞. 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[J]. 中国激光, 2015, 42(11): 1108002. Gao Yuling, Pan Guangzhen. Micro In-Plane Displacement Measurement Using New Speckle Phase Singularities Method Generated by Two-Dimensional Directional Wavelet[J]. Chinese Journal of Lasers, 2015, 42(11): 1108002.