Feb. 2018

Article Contents

Chinese Optics> 2018> 11(1): 123-130.

ZHANG Xu, SHAO Shuang-yun, ZHU Xiang, SONG Zhi-jun. Measurement and calibration of the intensity transform function of the optical 3D profilometry system[J]. Chinese Optics, 2018, 11(1): 123-130. doi: 10.3788/CO.20181101.0123

Citation:

ZHANG Xu, SHAO Shuang-yun, ZHU Xiang, SONG Zhi-jun. Measurement and calibration of the intensity transform function of the optical 3D profilometry system[J].Chinese Optics, 2018, 11(1): 123-130.doi:10.3788/CO.20181101.0123

Citation:

ZHANG Xu, SHAO Shuang-yun, ZHU Xiang, SONG Zhi-jun. Measurement and calibration of the intensity transform function of the optical 3D profilometry system[J].Chinese Optics, 2018, 11(1): 123-130.doi:10.3788/CO.20181101.0123

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Measurement and calibration of the intensity transform function of the optical 3D profilometry system

doi:10.3788/CO.20181101.0123

School of Science, Beijing Jiaotong University, Beijing 100044, China

Funds:

National Natural Science Foundation of China51275035

More Information

Corresponding author:SHAO Shuang-yun, E-mail:shao_sy@tom.com
Received Date:11 Oct 2017
Rev Recd Date:16 Nov 2017
Publish Date:01 Feb 2018

Abstract

Abstract

The light intensity transform function(ITF) of the digital grating projector plays a crucial role in the quality of sinusoidal projection fringes and the accuracy of phase measurement. Based on this, a new method of correcting the ITF of digital grating projector in optical 3D profilometry system is proposed in this paper. Firstly, the phase measurement error of the grating harmonics caused by the nonlinear response of the projector is analyzed. Then, the nonlinear of the digital projector is measured by projecting a set of images with different gray levels, and the brightness of these image on the digital projector is measured by optical power meter and the ITF of the projector can be obtained after data processing. Finally, an inverse transformation of ITF is implemened to obtain a corrected non-sinusoidal grating, which is then projected by the projector to obtain a sinusoidal grating on the surface of the measured object. Digital projector measurement experiments show that the average errors of standard panel are 0.71 mm and 0.55 mm before and after calibration, respectively; the average errors of standard block measurement are 0.62 mm and 0.15 mm before and after calibration. The above results show that the proposed method can reduce the measurement error caused by the nonlinear response of the system and improve the measurement accuracy.
- phase measurement,
- intensity transform function,
- nonlinear,
- calibration

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References (18)

References

[1]	牛小兵. 光栅投射三维轮廓测量技术的研究[D]. 天津: 天津大学, 2003. http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=Y590862 NIU X B. 3-D Profilometry based on grating projection[D]. Tianjin: Tianjin University, 2003. (in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=degree&id=Y590862
[2]	CHEN F, BROWN G M, SONG M. Overview of three-dimensional shape measurement using optical methods[J]. Opt. Eng., 2000, 39(1):10-22. doi:10.1117/1.602438
[3]	金国藩. 测量学[M].北京:科学出版社, 1998:798-800. JIN G P. Laser Measurement[M]. Beijing:Science Press, 1998:798-800.(in Chinese)
[4]	张万祯. 数字投影结构光三维测量方法研究[D]. 浙江: 浙江大学, 2015. http://cdmd.cnki.com.cn/Article/CDMD-10335-1015418953.htm ZHANG W ZH. Structured-light three dimensional measurement method based on digital projector[D]. Zhejiang: Zhejiang University, 2015. (in Chinese) http://cdmd.cnki.com.cn/Article/CDMD-10335-1015418953.htm
[5]	马淑贞. 光学三维位相轮廓测量技术研究[D]. 昆明: 昆明理工大学, 2003. http://cdmd.cnki.com.cn/article/cdmd-10674-2003102721.htm MA SH ZH. Studies on a optical three-dimension phase profilometry measurement technology[D]. Kunming: Kunming University, 2003. (in Chinese) http://cdmd.cnki.com.cn/article/cdmd-10674-2003102721.htm
[6]	安东, 陈李, 丁一飞, 等.光栅投影相位法系统模型及标定方法[J].中国光学, 2015, 8(1):248-254. //www.illord.com/CN/abstract/abstract9270.shtml AN D, CHEN L, DING Y F, et al.. Optical system model and calibration of grating projection phase method[J]. Chinese Optics, 2015, 8(1):248-254.(in Chinese) //www.illord.com/CN/abstract/abstract9270.shtml
[7]	李万松. 位相测量轮廓术(PMP)应用研究[D]. 四川: 四川大学, 1999. LI W S. Applied Study on Phase Measuring Profilometry(PMP)[D]. Sichuan: Sichuan University, 1999. (in Chinese)
[8]	邵双运, 苏显渝, 等.结构光场的非正弦性对调制度测量轮廓术精度的影响[J]. 杂志, 2004, 25(1):26-28. http://www.opticsjournal.net/Abstract.htm?id=OJ061018000713iPlRoU SHAO SH Y, SU X Y, et al.. The influence of non-sinusoidal signal on the measurement precision of MMP[J]. Laser Journal, 2004, 25(1):26-28.(in Chinese) http://www.opticsjournal.net/Abstract.htm?id=OJ061018000713iPlRoU
[9]	GUO H W, HE H T, CHEN M Y. Gamma correction for digital fringe projection profilometry[J]. Applied Optics, 2004, 43(14):2906-2914. doi:10.1364/AO.43.002906
[10]	曹益平. 基于数字微镜的位相测量轮廓术[D]. 四川: 四川大学, 2003. http://cdmd.cnki.com.cn/Article/CDMD-10610-2003107339.htm CAO Y P. Digital Micromirror Device Based Measuring Profilometry[D]. Sichuan: Sichuan University, 2003. (in Chinese) http://cdmd.cnki.com.cn/Article/CDMD-10610-2003107339.htm
[11]	CAO Y P, et al.. Intensity transfer function of DMD and its application in PMP[J]. Proceedings of SPIE, 2002, 4778:83-88. doi:10.1117/12.473557
[12]	武迎春, 曹益平, 肖焱山.任意相移最小二乘法迭代的在线三维检测[J].光学精密工程, 2014, 22(5):1347-1353. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=gxjm201405032&dbname=CJFD&dbcode=CJFQ WU Y CH, CAO Y P, XIAO Y SH. On-line three-diemensional inspection using randomly phase-shifting fringe based on least-square iteration[J]. Optical and Precision Engineering, 2014.22(5):1347-1353.(in Chinese) http://kns.cnki.net/KCMS/detail/detail.aspx?filename=gxjm201405032&dbname=CJFD&dbcode=CJFQ
[13]	肖焱山, 曹益平, 等.基于傅里叶频谱分析的相位测量轮廓术系统Gamma非线性校正方法[J].光学学报, 2012, 32(12):1-6. http://www.opticsjournal.net/abstract.htm?id=OJ121019000067pVsYu2 XIAO Y SH, CAO Y P, et al.. Gamma nonlinearity correction based on Fourier spectrum analysis for phase measuring profilometry[J]. Optics Journal, 2012, 32(12):1-6.(in Chinese) http://www.opticsjournal.net/abstract.htm?id=OJ121019000067pVsYu2
[14]	许平. 提高数字光投影傅里叶变换轮廓术精度的方法研究[D]. 四川: 四川大学, 2006. http://cdmd.cnki.com.cn/article/cdmd-10610-2006188119.htm XU P. Study on improving the precision of FTP based on DLP projector[D]. Sichuan: Sichuan Unversity, 2006. (in Chinese) http://cdmd.cnki.com.cn/article/cdmd-10610-2006188119.htm
[15]	杨丽霞. 光栅投影三维形貌测量系统的研究[D]. 辽宁: 东北大学, 2012. http://cdmd.cnki.com.cn/Article/CDMD-10145-1014180002.htm YANG L X. Research on the system of grating projection three-dimensional profilometry[D]. Liaoning: Northeastern University, 2012. (in Chinese) http://cdmd.cnki.com.cn/Article/CDMD-10145-1014180002.htm
[16]	费东, 苏显渝, 李杰林.PMP中的液晶投影器的性能研究[J].光电工程, 1996, 23(5):18-22. http://www.cqvip.com/QK/60129A/199704/3001015365.html FEI D, SU X Y, LI J L. Research on performance of liquid crystal display in phase measuring profilometry[J]. Opto-Electronic Engineering, 1996, 23(5):18-22.(in Chinese) http://www.cqvip.com/QK/60129A/199704/3001015365.html
[17]	郝煜栋, 赵洋, 李达成.光栅投影式轮廓测量中两种误差的分析[J].光学学报, 2000, 20(3):376-379. doi:10.3321/j.issn:0253-2239.2000.03.016 HAO Y D, ZHAO Y, LI D CH. Analysis of two errors in grating projection profilometry[J]. Optics Journal, 2000, 20(3):376-379.(in Chinese) doi:10.3321/j.issn:0253-2239.2000.03.016
[18]	李万松, 苏显渝, 等.非恒定环境光条件下的相位测量剖面术[J].光学学报, 2000, 20(5):617-623. doi:10.3321/j.issn:0253-2239.2000.05.007 LI W S, SU X Y, et al.. Phase-measuring profilometry in non-constant environmental light[J]. Optics Journal, 2000, 20(5):617-623.(in Chinese) doi:10.3321/j.issn:0253-2239.2000.05.007