Study on an Two Phase-shifting Profilometry with an Arbitrary Steps Algorithm
XU Jian-liang1,ZHOU Ming-an1,FANG Xiao-fen1,2
1. School of Mechanical Engineering, Quzhou College and Technology, Quzhou, Zhejiang 324000, China
2. School of Mechanical and Energy Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
Abstract：The traditional PSP was researched. Based on a Gram-Schmidt(GS) orthonormalization approach, an two PSP with an arbitrary steps algorithm is proposed. The phase-shift value has not to be known and can taken any value inside the range. Compared with the existing methods, the method can only have two distorted grating image, and thire phase shift accuracy is not required. Experimental results show that compared with the existing methods, the structure is less demanding for the accuracy of the system, and the proposed method is faster, higher accuracy and more effectively.
徐建亮,周明安,方晓汾. 一种两步相移任意步距相位轮廓测量技术研究[J]. 计量学报, 2016, 37(5): 472-475.
XU Jian-liang,ZHOU Ming-an,FANG Xiao-fen. Study on an Two Phase-shifting Profilometry with an Arbitrary Steps Algorithm. Acta Metrologica Sinica, 2016, 37(5): 472-475.
［1］方坤礼, 蒋晓英, 甘连香. 傅里叶变换轮廓术测量方法的分析研究［J］. 计量学报, 2013, 34(3).207-211.
［2］Chen L C, Yeh S L, Tapilouw A M, et al. 3-D surface profilometry using simultaneous phase-shifting Interferom etry ［J］. Optics Communications, 2010, 283(18):3376-3382.
［3］Liu K. High precision alignment of phase-shifting point diffraction interferometer ［J］. Chinese J Lasers, 2010, 37(7): 1845-1849.
［4］杨福俊, 耿敏, 戴美玲,等. 基于单频四步相移条纹投影的不连续物体三维形貌测量［J］. 光电子激光, 2012, 23(8): 1535-1538.
［5］张倩, 徐先锋, 袁红光,等. 四步相移数字全息干涉术相移提取和物光重建［J］. 光电工程, 2011, 38(08):139-144.
［6］马骁, 张子邦, 钟金钢. 改进的三步空域准相移单帧条纹相位解调技术［J］. 激光与光电子学进展, 2015, 52(09).160-165.
［7］何大武, 曹益平. 基于RGB三基色的实时相位测量轮廓术［J］.工具技术, 2015, 49(5): 89-93.
［8］Liu Y F, Cao Y P, He Y H. An improved algorithm to three-unequal step length for PMP ［J］. Journal of Optoelectronics Laser, 2010, 21(1):83-86.
［9］孟祥锋, 蔡履中, 王玉荣. 两步广义相移干涉术的光学实验验证［J］.物理学报, 2009, 58(3): 1668-1674.
［10］康新, 何小元. 两步相移实现投影栅相位测量轮廓术［J］.光学学报, 2003, 23(1): 75-79.
［11］Vargas J, Quiroga J A, Sorzano C, et al. Two-step demodulation based on the Gram-Schmidt orthonormali zation method ［J］.Optics Letters, 2012, 37(3): 443-445.
［12］Yang F J,He X Y. Two-step phase-shifting fringe projection profilometry:intensity derivative approach ［J］. Applied Optics, 2007, 46(29): 7172-7178.
［13］肖焱山, 曹益平, 武迎春,等. 相位测量轮廓术中一种快速的系统标定方法［J］. 四川大学学报(工程科学版), 2013, 45(1):164-168.
［14］Chen X, Gramaglia M, Yeazell J A. Phase-shift calibration algorithm for phase-shifting interferometry［J］. Optical Society of A, 2000, 17(11): 2061-2066.
［15］Song M, Li H C, Chang C, et al. Gram-Schmidt orthogonal vector projection for hyperspectral unmixing ［C］／／Geoscience and Remote Sensing Symposium, Quebec City, Canada, 2014, 2934-2937.
［16］Liu G, Wang R, Deng Y K, et al. A new quality map for 2-D phase unwrapping based on gray level co-occurrence Matrix ［J］. Geoscience & Remote Sensing Letters IEEE, 2014, 11(2):444-448.
［17］Zhang Y, Wang S, Ji G, et al. An improved quality guided phase unwrapping method and its applications to MRI ［J］. Progress In Electromagnetics Research, 2014, 145(2):273-286.
［18］Zhong H, Tang J, Zhang S, et al. A quality-guided and local minimum discontinuity based phase unwrapping algorithm for inSAR/inSAS interferograms ［J］. IEEE Geoscience & Remote Sensing Letters, 2014, 11(1):215-219.
2016, Vol. 37 
