数字全息重构图像边缘误差抑制方法研究

doi:10.7517/issn.1674-0475.200910

影像科学与光化学 ›› 2021, Vol. 39 ›› Issue (2): 166-173.DOI: 10.7517/issn.1674-0475.200910

数字全息重构图像边缘误差抑制方法研究

魏淑玉^1,2, 陈欣^1,2, 文永富^1,2, 程灏波^1,2

1. 北京理工大学深圳研究院, 广东深圳 518057;
2. 北京理工大学光电学院, 北京 100081

收稿日期:2020-09-24 出版日期:2021-03-15 发布日期:2021-03-12
通讯作者: 程灏波
基金资助:
深圳市科技创新项目（JCYJ20170817114558026，JCYJ20200109143424977）

Research on Edge Error Suppression Method of Reconstructed Image of Digital Holography

WEI Shuyu^1,2, CHEN Xin^1,2, WEN Yongfu^1,2, CHENG Haobo^1,2

1. Shenzhen Research Institute, Beijing Institute of Technology, Shenzhen 518057, Guangdong, P. R. China;
2. School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, P. R. China

Received:2020-09-24 Online:2021-03-15 Published:2021-03-12

摘要/Abstract

摘要： 数字全息技术由于其高灵敏度、高准确度、分辨能力强，且再现、存储及传输方便灵活等特点，在微纳结构与生物细胞的测量领域中得到越来越广泛的应用。然而，记录数字全息图受孔径有限等因素的影响，其重构图像会产生一些类似于波纹的边缘误差，导致成像质量降低和CCD视场不能充分利用。本文首先基于数字全息理论对误差产生原因进行了理论分析，并对边缘误差产生影响的数值参数进行了详细讨论，在此基础上，提出了一种周期延拓迭代方法对全息图进行预处理，并使用图像均方差值对迭代结果进行评价。通过计算机仿真与实验，结果表明，该方法能够显著降低边缘误差，提高再现图像质量。

关键词: 数字全息, 边缘误差, 周期延拓

Abstract: Due to its high sensitivity, high accuracy, strong resolving power, convenient and flexible reproduction, storage and transmission, digital holography technology has been widely used in the measurement of micro-nano structures and biological cells. However, the recording of digital holograms is affected by factors such as limited apertures, and the reconstructed image will produce some edge errors that resemble ripples, resulting in the degradation of image quality and insufficient utilization of CCD field of view. Based on the digital holographic theory, this paper firstly analyzes the causes of errors, and discusses in detail the numerical parameters that affect edge errors. On this basis, a period continuation iterative method is proposed to preprocess the hologram and use the mean square difference of images to evaluate the iteration results. Through computer simulation and experiments, the results show that this method can significantly reduce edge errors and improve the quality of the reproduced image.

Key words: digital holography, edge error, period extension

魏淑玉, 陈欣, 文永富, 程灏波. 数字全息重构图像边缘误差抑制方法研究[J]. 影像科学与光化学, 2021, 39(2): 166-173.

WEI Shuyu, CHEN Xin, WEN Yongfu, CHENG Haobo. Research on Edge Error Suppression Method of Reconstructed Image of Digital Holography[J]. IMAGING SCIENCE AND PHOTOCHEMISTRY, 2021, 39(2): 166-173.

参考文献

[1] 邓丽军. 数字全息显微术及若干应用技术研究[D]. 天津:南开大学, 2014.
[2] Cuche E, Marquet P, Depeursinge C. Aperture apodization using cubic spline interpolation:application in digital holographic microscopy[J]. Optics Communications, 2000, 182(1-3):59-69.
[3] Zygmund A, Bary N K. A treatise on trigonometric series[J]. Mathematics of Computation, 1966, 20(93):191-195.
[4] Hadley G. Diffraction by apodized apertures[J]. IEEE Journal of Quantum Electronics, 1974, 10(8):603-608.
[5] Tukey J W. An introduction to the calculations of numerical spectrum analysis[J].Spectra Analysis of Time, 1967:25-46.
[6] Hamilton O H, Achieser N I, Hyman C J. Theory of approximation[J]. The American Mathematical Monthly, 1957, 64(9):686.
[7] 张延曹, 赵建林, 张伟, 等. Tukey窗函数用于数字全息图的切趾研究[J]. 光子学报, 2007, 36(12):2256-2260.
[8] Zhang F, Yamaguchi I, Yaroslavsky L P. Algorithm for reconstruction of digital holograms with adjustable magnification[J]. Optics Letters, 2004, 29(14):1668.
[9] Li J C, Tankam P, Peng Z J, et al. Digital holographic reconstruction of large objects using a convolution approach and adjustable magnification[J]. Optics Letters, 2009, 34(5):572-574.
[10] Shin J G, Kim J W, Eom T J, et al. Frequency domain zero padding for accurate autofocusing based on digital holography[J]. Journal of the Korean Physical Society, 2018, 72(1):57-65.
[11] Massig J H,Heppner J.Fringe-pattern analysis with high accuracy by use of the fourier-transform method:theory and experimental tests[J].Applied Optics, 2001, 40(13):2081-2088.
[12] 王雨雷, 吕志伟, 何伟明, 等. 采用一种新的外推延拓法重构激光波前[C].第十七届全国激光学术会议论文集,2005.
[13] Dubois F, Monnom O, Yourassowsky C, et al. Border processing in digital holography by extension of the digital hologram and reduction of the higher spatial frequencies[J]. Applied Optics, 2002, 41(14):2621-2626.
[14] Guo C S, Zhang L, Rong Z Y, et al. Effect of the fill factor of CCD pixels on digital holograms:comment on the papers[J]. Optical Engineering, 2003, 42(9):2768-2772.
[15] Kreis T M. Frequency analysis of digital holography with reconstruction by convolution[J]. Optical Engineering, 2002, 41(8):573-607.
[16] 叶春玲. 数字全息图记录及再现算法的研究[D]. 哈尔滨:哈尔滨工业大学, 2006.
[17] 刘诚, 刘志刚, 程笑天,等. 数字滤波法再现电子全息图[J]. 光学学报, 2003, 23(2):150-154.
[18] Alain Horé, Ziou D. Image quality metrics:PSNR vs. SSIM[C].20th International Conference on Pattern Recognition, ICPR 2010. IEEE Computer Society, 2010.

数字全息重构图像边缘误差抑制方法研究

Research on Edge Error Suppression Method of Reconstructed Image of Digital Holography

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