Self-Adaptive Threshold Reversal Algorithm for Phase Unwrapping in Quantitative Phase Contrast Imaging

LIN Panming; LUO Du; LI Jun; HUANG Zuohua

doi:10.6054/j.jscnun.2020073

Journal of South China Normal University (Natural Science Edition) > 2020 > 52(5): 19-25. > DOI: 10.6054/j.jscnun.2020073

LIN Panming, LUO Du, LI Jun, HUANG Zuohua. Self-Adaptive Threshold Reversal Algorithm for Phase Unwrapping in Quantitative Phase Contrast Imaging[J]. Journal of South China Normal University (Natural Science Edition), 2020, 52(5): 19-25. DOI: 10.6054/j.jscnun.2020073

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Self-Adaptive Threshold Reversal Algorithm for Phase Unwrapping in Quantitative Phase Contrast Imaging

School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China

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Received Date: January 20, 2020
Available Online: November 02, 2020

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Abstract

Abstract

To solve the problems in quantitative phase contrast imaging such as the alternate increase and decrease between multi-peak phase distribution and wrapping phase distribution and the existence of multiple extremum points of the wrapping phase when the original phase exceeds the period π, a phase-unwrapping algorithm based on self-adaptive threshold reversal (SATR) is proposed. The algorithm realizes real phase reconstruction in quantitative phase contrast imaging. The realization of the principle of phase contrast imaging and the self-adaptive threshold reversal algorithm is analyzed, and the feasibility and accuracy of the method are proved through simulation verification calculation and comparison with Least-Square phase unwrapping algorithm (LS), Least-Square algorithm based on Lateral sheering interferometry (LSBLS) and Four-Direction Least-Square phase unwrapping algorithm based on Lateral shearing interferometry (FLSBLS). The algorithm improves the precision of phase unwrapping to some extent and provides a new idea for phase unwrapping under strong interference, demand for high precision and a large amount of calculation.
- self-adaptive threshold,
- phase reversal,
- phase unwrapping,
- quantitative phase contrast imaging,
- micro lens

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References

[1]	ZERNIKE F.Phase contrast, a new method for the microscopic observation of transparent objects[J].Physica, 1942, 9(7):686-698. doi: 10.1016/S0031-8914(42)80035-X
[2]	王正勇, 朱挺, 何小海, 等.一种残差点退化的四向最小二乘InSAR相位解缠算法[J].四川大学学报(工程科学版), 2010, 42(1):185-190. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=scdxxb-gckx201001033 WANG Z Y, ZHU T, HE X H, et al.A singularity point degradation four directions least-square algorithm for InSAR phase unwrapping[J].Journal of Sichuan University (Engineering Science Edition), 2010, 42(1):185-190. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=scdxxb-gckx201001033
[3]	王霖郁, 李辉.一种枝切法和质量图相结合的InSAR相位解缠算法[J].应用科技, 2016, 43(5):49-53. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yykj201605010 WANG L Y, LI H.An algorithm based on the branch-cut and quality map for In SAR phase unwrapping[J].Applied Science and Technology, 2016, 43(5):49-53. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=yykj201605010
[4]	钱晓凡, 李斌, 李兴华, 等.横向剪切最小二乘相位解包裹算法的改进[J].中国激光, 2012, 39(11):199-203. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgjg201211036 QIAN X F, LI B, LI X H, et al.Improvement of least-square phase unwrapping algorithm based on lateral shearing interferometry[J].Chinese Journal of Lasers, 2012, 39(11):199-203. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgjg201211036
[5]	VOLKOV V, ZHU Y M.Deterministic phase unwrapping in the presence of noise[J].Optics Letters, 2003, 28(22):2156-2158. doi: 10.1364/OL.28.002156
[6]	李芹, 刘维, 王道档, 等.基于二阶质量权的四向剪切相位解包裹算法[J].光电子·激光, 2018, 29(6):618-626. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201806008 LI Q, LIU W, WANG D D, et al.Four-direction least-square phase unwrapping algorithm based on shearing interferometry and second derivative of quality weight[J].Journal of Optoelectronics·Laser, 2018, 29(6):618-626. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201806008
[7]	GUO Y, CHEN X T, ZHAN T.Robust phase unwrapping algorithm based on least squares[J].Optics and Lasers in Engineering, 2014, 63(4):25-29. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=7f5b96b65f6942156def80ee03351728
[8]	钱晓凡, 饶帆, 李兴华, 等.精确最小二乘相位解包裹算法[J].中国激光, 2012, 39(2):189-193. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgjg201202033 QIAN X F, RAO F, LI X H, et al.Accurate least-square phase unwrapping algorithm[J].Chinese Journal of Lasers, 2012, 39(2):189-193. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zgjg201202033
[9]	DU G L, ZHANG C R, ZHOU C L, et al.Iterative two-step temporal phase-unwrapping applied to high sensitivity three-dimensional profilometry[J].Optics and Lasers in Engineering, 2016, 79:22-28. doi: 10.1016/j.optlaseng.2015.11.006
[10]	周灿林, 刘同川, 司书春, 等.改进的阶梯相位去包裹算法研究[J].光电子·激光, 2013, 24(12):125-130. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201312021 ZHOU C L, LIU T C, SI S C, et al.An improved phase unwrapping method based on stair phase encoding[J].Journal of Optoelectronics·Laser, 2013, 24(12):125-130. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201312021
[11]	陆军, 李积江, 王成成, 等.基于构造边的精确快速相位解缠算法[J].光电子·激光, 2015, 26(1):122-129. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201501021 LU J, LI J J, WANG C C, et al.An accurate and fast phase unwrapping algorithm based on constructed edge[J].Journal of Optoelectronics·Laser, 2015, 26(1):122-129. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201501021
[12]	肖启阳, 李健, 吴思进, 等.基于经验小波变换及核概率密度的物体表面变形测量[J].光子学报, 2017, 47(3):151-160. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gzxb201803020 XIAO Q Y, LI J, WU S J, et al.Measurement of objects surface deformation using EWT and Kernel probability density[J].Acta Photonica Sinica, 2017, 47(3):151-160. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gzxb201803020
[13]	XIE X M, ZENG Q N.Efficient and robust phase unwrapping algorithm based on unscented Kalman filter, the strategy of quantizing paths-guided map, and pixel classification strategy[J].Applied Optics, 2015, 54(31):9294-9307. doi: 10.1364/AO.54.009294
[14]	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].IEEE Geoscience and Remote Sensing Letters, 2014, 11(2):444-448. doi: 10.1109/LGRS.2013.2264857
[15]	HUANG Q, ZHOU H Q, DONG S C, et al.Parallel branch-cut algorithm based on simulated annealing for large-scale phase unwrapping[J].IEEE Geoscience and Remote Sensing Letters, 2015, 53(7):3833-3846. doi: 10.1109/TGRS.2014.2385482
[16]	MIGUEL A H, MUNTHER A G.A robust and simple measure for quality-guided 2D phase unwrapping algorithms[J].IEEE Geoscience and Remote Sensing Letters, 2016, 25(6):2601-2609. http://dl.acm.org/citation.cfm?id=2930052
[17]	SOUZA J C, OLIVERIRA M E, SANTOS P A.Branch-cut algorithm for optical phase unwrapping[J].Optics Letters, 2015, 40(15):3456-3459. doi: 10.1364/OL.40.003456
[18]	LIU H T, XING M D, BAO Z.A cluster-analysis-based noise-robust phase-unwrapping algorithm for multibaseline interferograms[J].IEEE Transactions on Geoscience and Remote Sensing, 2015, 53(1):494-504. doi: 10.1109/TGRS.2014.2324595
[19]	刘稳.相位解包裹算法及在相位测量轮廓术中的应用研究[D].山西: 中北大学, 2016. LIU W.Research of phase unwrapping algorithm and its application in phase measurement profilometry[D].Shanxi: North University of China, 2016.
[20]	郭媛, 吴全, 毛琦, 等.基于横向剪切的四向最小二乘相位解包裹算法[J].光电子·激光, 2015, 26(10):1953-1959. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201510019 GUO Y, WU Q, MAO Q, et al.Four directions least-square phase unwrapping algorithm based on lateral shearing interferometry[J].Journal of Optoelectronics·Laser, 2015, 26(10):1953-1959. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gdzjg201510019
[21]	SERT E, TASKIN D, ALKAN A.Three stepped calibration of structured light system with adaptive thresholding for 3D measurements[J].Journal for Light and Electronoptic, 2015, 126(24):5176-5181. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=42894c96054304f3498da6a1e901c91f
[22]	ZHANG W, LI W S, YAN J W, et al.Adaptive threshold selection for background removal in fringe projection profilometry[J].Optics & Lasers in Engineering, 2017, 90(3):209-216. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=e62c3a1ccf9bbd5423fbc7096b8949b9
[23]	关涛.光学显微宫颈细胞图像的分割与识别方法研究[D].长沙: 国防科学技术大学, 2015. GUANG T.Segmentation and classification of optical microscopic cervical cell images[D].Changsha: National University of Defense Technology, 2015.
[24]	张瑞华, 付云飞.基于等周图割的细胞图像自适应多阈值分割算法[J].内蒙古大学学报(自然科学版), 2018, 49(5):90-95. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=nmgdxxb201805014 ZHANG R H, FU Y F.Automatic multilevel threshold cell image segmentation algorithm based on isoperimetric graph cuts[J].Journal of Inner Mongolia University (Natural Science Edition), 2018, 49(5):90-95. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=nmgdxxb201805014
[25]	张弘, 周晓莉.基于小波阈值和全变分模型的图像去噪[J].计算机应用研究, 2019, 36(11):3504-3507;3520. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jsjyyyj201911069 ZHANG H, ZHOU X L.Method for image denoising based on wavelet transform and total variational model[J].Application Research of Computers, 2019, 36(11):3504-3507;3520. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jsjyyyj201911069
[26]	吴舒哲, 唐嘉, 熊亮, 等.一种基于共轴干涉的相位物体定量成像技术[J].激光技术, 2017, 41(2):275-279. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jgjs201702026 WU S Z, TANG J, XIONG L, et al.A technique of quantitative imaging for phase object based on in-line interfermetry[J].Laser Technoplogy, 2017, 41(2):275-279. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jgjs201702026
[27]	向茂生, 李树楷.用DCT进行最小二乘相位估计值的求解[J].中国图象图形学报, 2018, 3(4):269-272. http://www.cnki.com.cn/Article/CJFDTotal-ZGTB804.001.htm XIANG M S, LI S K.DCT based on algorithm for least squarephase estimation[J].Journal of Image and Graphics, 2018, 3(4):269-272. http://www.cnki.com.cn/Article/CJFDTotal-ZGTB804.001.htm

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