基于能量分布识别干涉条纹相位畸变的方法
|
摘要
在基于条纹投影的物体表面形貌测量中,条纹相位畸变是影响物体测量精度的主要因素。为了准确判断条纹相位是否发生相位畸变,在相位矫正算法中借助傅里叶变换,从频域中分析条纹图样,形成了一种基于频域分析辨别干涉条纹相位畸变的技术。利用迈克耳孙干涉的基本原理搭建平行光束干涉投影装置,将干涉条纹投射到光屏上,通过CCD相机进行图像采集,并将得到的干涉条纹图像传输到计算机上,再利用小波滤波对图像进行滤波,噪声和干扰通过傅里叶变换将空域图像转换为频域图像,分析频域图像中的基频临近位置的能量分布信息,判断是否发生相位畸变。实验结果表明,该方法能够准确判别采集条纹图像是否发生相位畸变,识别灵敏度为60mrad。
In the measurement of surface topography of objects based on fringe projection,the fringe phase distortion is the main factor affecting the accuracy of object measurement.In order to accurately determine whether the fringe phase has phase distortion,the fringe pattern is analyzed from the frequency domain by means of Fourier transform in the phase correction algorithm,and a technique for discriminating the phase distortion of the interference fringe based on frequency domain analysis is formed.Using the basic principle of Michelson interference,the parallel beam interference projection device is built,the interference fringes are projected onto the light screen,the image is collected by the CCD camera,and the obtained interference fringe image is transmitted to the computer,and then the image is filtered by wavelet filtering.The noise and interference are transformed into a frequency domain image by Fourier transform,and the energy distribution information of the adjacent position of the fundamental frequency in the frequency domain image is analyzed to determine whether phase distortion occurs.The experimental results show that the method can accurately determine whether the fringe image has phase distortion,and the recognition sensitivity is 60 mrad.
In the measurement of surface topography of objects based on fringe projection,the fringe phase distortion is the main factor affecting the accuracy of object measurement.In order to accurately determine whether the fringe phase has phase distortion,the fringe pattern is analyzed from the frequency domain by means of Fourier transform in the phase correction algorithm,and a technique for discriminating the phase distortion of the interference fringe based on frequency domain analysis is formed.Using the basic principle of Michelson interference,the parallel beam interference projection device is built,the interference fringes are projected onto the light screen,the image is collected by the CCD camera,and the obtained interference fringe image is transmitted to the computer,and then the image is filtered by wavelet filtering.The noise and interference are transformed into a frequency domain image by Fourier transform,and the energy distribution information of the adjacent position of the fundamental frequency in the frequency domain image is analyzed to determine whether phase distortion occurs.The experimental results show that the method can accurately determine whether the fringe image has phase distortion,and the recognition sensitivity is 60 mrad.
引文
[1]Lu M T,Su X Y,Cao Y P,et al.3D shape reconstruction algorithms for modulation measuring profilometry with synchronous scanning[J].Chinese Journal of Lasers,2016,43(3):0308006.卢明腾,苏显渝,曹益平,等.同步扫描的调制度测量轮廓术三维面形重建算法[J].中国激光,2016,43(3):0308006.
[2]Zhang Q C,Su X Y.Research progress of dynamic three-dimensional shape measurement[J].Laser&Optoelectronics Progress,2013,50(1):010001.张启灿,苏显渝.动态三维面形测量的研究进展[J].激光与光电子学进展,2013,50(1):010001.
[3]Srinivasan V,Liu H C,Halioua M.Automated phase-measuring profilometry of 3D diffuse objects[J].Applied Optics,1984,23(18):3105-3108.
[4]Huan H,Lu S,Zhang Y,et al.The design of highspeed data processing system of laser self-mixing interference signal base on FPGA[J].Science Technology and Engineering,2016,16(3):188-191,206.宦海,卢松,张雨,等.基于FPGA的激光自混合干涉信号高速数据处理系统设计[J].科学技术与工程,2016,16(3):188-191,206.
[5]Li Y,Ma K,Zhang Q C.Prior correction method of phase distortion in Fourier transform profilometry[J].Optics&Optoelectronic Technology,2012,10(1):22-27.李岩,麻珂,张启灿.傅里叶变换轮廓术中相位失真的预矫正方法[J].光学与光电技术,2012,10(1):22-27.
[6]Bo E,Duan F J,Feng F,et al.A new phase stabilization method for interference fringe projection using sinusoidal phase modulation[J].OptoElectronic Engineering,2014,41(8):27-32.伯恩,段发阶,冯帆,等.一种新的正弦相位调制干涉条纹相位稳定方法[J].光电工程,2014,41(8):27-32.
[7]Bo E,Duan F J,Feng F,et al.A phase stabilization method for fiber-optic interference fringes using sinusoidal phase modulating[J].Opto-Electronic Engineering,2014,41(10):75-80.伯恩,段发阶,冯帆,等.一种正弦相位调制光纤干涉条纹相位稳定方法[J].光电工程,2014,41(10):75-80.
[8]Dong J,Deng G H,Li J W.Research on image transformation based on two-dimensional Fourier transform[J].Fujian Computer,2015,31(9):102-103.董健,邓国辉,李金武.基于二维傅里叶变换实现图像变换的研究[J].福建电脑,2015,31(9):102-103.
[9]Goldberg R R,Hall P,Smithies F,et al.Fourier transforms[J].Physics Today,1961,14(10):52.
[10]Chen H Y,Chen C,Peng B J,et al.Fourier analyses for fringe signals of fiber grating based on Mach-Zehnder interferometer[J].Acta Photonica Sinica,2016,45(9):0906002.陈海云,陈成,彭保进,等.光纤光栅马赫-曾德干涉仪条纹信号的傅里叶分析[J].光子学报,2016,45(9):0906002.
[11]An P.Processing and analysis of regular interference fringe images[D].Hohhot:Inner Mongolia University of Technology,2017.安平.规则干涉条纹图像的处理与分析[D].呼和浩特:内蒙古工业大学,2017.
[12]Auslander L,Grunbaum F A.The Fourier transform and the discrete Fourier transform[J].Inverse Problems,1989,5(2):149-164.
[13]Feng F,Li C W.Simulation of atmospheric turbulence phase screen based on wavelet analysis[J].Acta Optica Sinica,2017,37(1):0101004.丰帆,李常伟.基于小波分析的大气湍流相位屏模拟[J].光学学报,2017,37(1):0101004.
[14]Bacchelli S,Papi S.Filtered wavelet thresholding methods[J].Journal of Computational and Applied Mathematics,2004,164/165:39-52.
[15]Roberge D,Sheng Y L.Optical wavelet matched filter[J].Applied Optics,1994,33(23):5287-5293.
[16]Sun G D,Qin L A,Cheng Z,et al.Application of wavelet noise reduction for simulated signals of imaging lidar[J].Laser&Optoelectronics Progress,2017,54(9):090102.孙国栋,秦来安,程知,等.小波去噪在成像激光雷达仿真信号中的应用[J].激光与光电子学进展,2017,54(9):090102.
[17]Wen J,Zhao J S,Wang C L,et al.Decomposition of interference hyperspectral images using improved morphological component analysis[J].Spectroscopy and Spectral Analysis,2016,36(1):254-258.温佳,赵军锁,王彩玲,等.基于改进MCA的干涉高光谱图像分解[J].光谱学与光谱分析,2016,36(1):254-258.
[2]Zhang Q C,Su X Y.Research progress of dynamic three-dimensional shape measurement[J].Laser&Optoelectronics Progress,2013,50(1):010001.张启灿,苏显渝.动态三维面形测量的研究进展[J].激光与光电子学进展,2013,50(1):010001.
[3]Srinivasan V,Liu H C,Halioua M.Automated phase-measuring profilometry of 3D diffuse objects[J].Applied Optics,1984,23(18):3105-3108.
[4]Huan H,Lu S,Zhang Y,et al.The design of highspeed data processing system of laser self-mixing interference signal base on FPGA[J].Science Technology and Engineering,2016,16(3):188-191,206.宦海,卢松,张雨,等.基于FPGA的激光自混合干涉信号高速数据处理系统设计[J].科学技术与工程,2016,16(3):188-191,206.
[5]Li Y,Ma K,Zhang Q C.Prior correction method of phase distortion in Fourier transform profilometry[J].Optics&Optoelectronic Technology,2012,10(1):22-27.李岩,麻珂,张启灿.傅里叶变换轮廓术中相位失真的预矫正方法[J].光学与光电技术,2012,10(1):22-27.
[6]Bo E,Duan F J,Feng F,et al.A new phase stabilization method for interference fringe projection using sinusoidal phase modulation[J].OptoElectronic Engineering,2014,41(8):27-32.伯恩,段发阶,冯帆,等.一种新的正弦相位调制干涉条纹相位稳定方法[J].光电工程,2014,41(8):27-32.
[7]Bo E,Duan F J,Feng F,et al.A phase stabilization method for fiber-optic interference fringes using sinusoidal phase modulating[J].Opto-Electronic Engineering,2014,41(10):75-80.伯恩,段发阶,冯帆,等.一种正弦相位调制光纤干涉条纹相位稳定方法[J].光电工程,2014,41(10):75-80.
[8]Dong J,Deng G H,Li J W.Research on image transformation based on two-dimensional Fourier transform[J].Fujian Computer,2015,31(9):102-103.董健,邓国辉,李金武.基于二维傅里叶变换实现图像变换的研究[J].福建电脑,2015,31(9):102-103.
[9]Goldberg R R,Hall P,Smithies F,et al.Fourier transforms[J].Physics Today,1961,14(10):52.
[10]Chen H Y,Chen C,Peng B J,et al.Fourier analyses for fringe signals of fiber grating based on Mach-Zehnder interferometer[J].Acta Photonica Sinica,2016,45(9):0906002.陈海云,陈成,彭保进,等.光纤光栅马赫-曾德干涉仪条纹信号的傅里叶分析[J].光子学报,2016,45(9):0906002.
[11]An P.Processing and analysis of regular interference fringe images[D].Hohhot:Inner Mongolia University of Technology,2017.安平.规则干涉条纹图像的处理与分析[D].呼和浩特:内蒙古工业大学,2017.
[12]Auslander L,Grunbaum F A.The Fourier transform and the discrete Fourier transform[J].Inverse Problems,1989,5(2):149-164.
[13]Feng F,Li C W.Simulation of atmospheric turbulence phase screen based on wavelet analysis[J].Acta Optica Sinica,2017,37(1):0101004.丰帆,李常伟.基于小波分析的大气湍流相位屏模拟[J].光学学报,2017,37(1):0101004.
[14]Bacchelli S,Papi S.Filtered wavelet thresholding methods[J].Journal of Computational and Applied Mathematics,2004,164/165:39-52.
[15]Roberge D,Sheng Y L.Optical wavelet matched filter[J].Applied Optics,1994,33(23):5287-5293.
[16]Sun G D,Qin L A,Cheng Z,et al.Application of wavelet noise reduction for simulated signals of imaging lidar[J].Laser&Optoelectronics Progress,2017,54(9):090102.孙国栋,秦来安,程知,等.小波去噪在成像激光雷达仿真信号中的应用[J].激光与光电子学进展,2017,54(9):090102.
[17]Wen J,Zhao J S,Wang C L,et al.Decomposition of interference hyperspectral images using improved morphological component analysis[J].Spectroscopy and Spectral Analysis,2016,36(1):254-258.温佳,赵军锁,王彩玲,等.基于改进MCA的干涉高光谱图像分解[J].光谱学与光谱分析,2016,36(1):254-258.