基于傅里叶变换的Gamma因子快速自标定方法  

Fast Self-Calibration Method of Gamma Factor Based on Fourier Transform

作　　者：孙丽君 黄志远[1,2,3] 陈天飞 Sun Lijun;Huang Zhiyuan;Chen Tianfei(Key Laboratory of Food Information Processing and Control of Ministry of Education,Henan University of Technology,Zhengzhou,Henan 450001,China;Zhengzhou Key Laboratory of Machine Perception and Intelligent System,Henan University of Technology,Zhengzhou,Henan 450001,China;College of Information Science and Engineering,Henan University of Technology,Zhengzhou,Henan 450001,China)

机构地区：[1]河南工业大学粮食信息处理与控制教育部重点实验室,河南郑州450001 [2]河南工业大学郑州市机器感知与智能系统重点实验室,河南郑州450001 [3]河南工业大学信息科学与工程学院,河南郑州450001

出　　处：《光学学报》2021年第24期108-119,共12页Acta Optica Sinica

基　　金：国家自然科学基金(61803146,61973104);河南省优秀青年科学基金(212300410036);河南省高校科技创新人才支持计划(21HASTIT029);河南省高等学校青年骨干教师培养计划(2019GGJS089);河南省科技攻关项目(212102210169,212102210086);河南工业大学自科创新基金支持计划(2020ZKCJ06);河南工业大学青年骨干教师培育计划(21420080)。

摘　　要：为减少测量系统中由非线性响应引起的相位误差,提出一种基于傅里叶变换的Gamma因子快速自标定方法。首先,对捕获的光栅条纹进行傅里叶变换,将图像由灰度值域转换到频率值域;其次,在频率值域找到畸变光栅条纹的高次谐波分量与基波分量,通过优化函数在实数范围内搜索最佳预编码Gamma值,使高次谐波分量与基波分量的功率比值最小,完成测量系统的Gamma值自标定,进而有效减小实际测量过程中的相位误差;最后,在标准平面及实际测量物体上对所提方法进行实验验证,并与经典的相位误差校正算法进行对比。实验结果表明,所提方法能极大地抑制Gamma非线性响应,比已有相位误差校正方法更简单高效,具有更高的测量精度和测量效率。To reduce the phase error caused by the nonlinear response in the measurement system,this paper proposed a fast self-calibration method of the Gamma factor based on the Fourier transform.In this method,Fourier transform of the captured grating fringes was performed to convert the image from the gray-scale domain to the frequency domain.Then,the high-order harmonic components and fundamental components of the distorted grating fringes were found in the frequency domain.The optimal pre-encoded Gamma value within the real number range was searched by an optimization function to minimize the power ratio of the high-order harmonic components to the fundamental components and complete the Gamma value self-calibration of the measurement system,which thereby effectively reduced the phase error in the actual measurement process.On standard planes and actual measurement objects,the method in this paper was verified by experiments and compared with classic phase-error correction algorithms.Experimental results prove that this method can suppress Gamma nonlinear response to a great extent.It is simpler and more efficient than existing phase-error correction methods and improves measurement accuracy and measurement efficiency.

关 键 词：测量 条纹投影轮廓术 相位误差 Gamma模型 傅里叶变换 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]