Abstract
In the multirotation computational imaging system (MRCI), the rotation angle of the cylindrical lens is vital to the reconstruction results from the experimental data. However, the rotation angles of the cylindrical lens are hard to be measured directly and precisely. High-precision angle evaluation methods are urgently needed to improve the recovered images. This paper proposes an angle estimation scheme based on principal component analysis (PCA), which can calculate the rotation angle of the cylindrical lens efficiently and accurately. Its accuracy is an order of magnitude higher than that of the existing methods. The proposed method is also stable for the image reconstruction when testing complex samples and under defocusing case.
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J. Sun, Q. Chen, Y. Zhang, C. Zuo, Efficient positional misalignment correction method for Fourier ptychographic microscopy. Biomed. Opt. Express 7, 1336–1350 (2016)
J. Sun, C. Zuo, L. Zhang, Q. Chen, Resolution-enhanced Fourier ptychographic microscopy based on high-numerical aperture illuminations. Sci. Rep. 7, 1187 (2017)
X. Wen, Y. Geng, X. Zhou, J. Tan, S. Liu, C. Tan, Z. Liu, Ptychography imaging by 1-D scanning with diffuser. Opt. Express 28, 22658–22668 (2020)
D.B. Moore, J.R. Fienup, Ptychography for optical metrology with limited translation knowledge. Appl. Opt. 55, 4596–4610 (2016)
A. Tripathi, I. McNulty, O.G. Shpyrko, Ptychographic overlap constraint errors and the limits of their numerical recovery using conjugate gradient descent methods. Opt. Express 22, 1452–1466 (2014)
X. Wen, Y. Geng, C. Guo, X. Zhou, J. Tan, S. Liu, C. Tan, Z. Liu, A parallel ptychographic iterative engine with a co-start region. J. Opt. 22, 075701 (2020)
J.M. Rodenburg, H.M.L. Faulkner, A phase retrieval algorithm for shifting illumination. Appl. Phys. Lett. 85, 4795–4797 (2004)
X. Jin, X. Ding, J. Tan, X. Yao, C. Shen, X. Zhou, C. Tan, S. Liu, Z. Liu, Structured illumination imaging without grating rotation based on mirror operation on 1D Fourier spectrum. Opt. Express 27, 2016–2028 (2019)
G. Zheng, R. Horstmeyer, C. Yang, Wide-field, high-resolution Fourier ptychographic microscopy. Nat. Photon. 7, 739–745 (2013)
V. Katkovnik, I. Shevkunov, N.V. Petrov, K. Egiazarian, Computational super-resolution phase retrieval from multiple phase-coded diffraction patterns: simulation study and experiments. Optica 4, 786–794 (2017)
A. Laghrib, A. Hadri, A. Hakim, S. Raghay, A new multiframe super-resolution based on nonlinear registration and a spatially weighted regularization. Inf. Sci. 493, 34–56 (2019)
C. Shen, C. Guo, Y. Geng, J. Tan, S. Liu, Z. Liu, Noise-robust pixel-super-resolved multi-image phase retrieval with coherent illumination. J. Opt. 20, 115703 (2018)
F. Zhang, C. Guo, Y. Zhai, J. Tan, S. Liu, C. Tan, H. Chen, Z. Liu, A noise-robust multi-intensity phase retrieval method based on structural patch decomposition. J. Opt. 22, 075706 (2020)
Y. Geng, C. Guo, X. Zhou, C. Shen, W. Ding, Z. Zhang, J. Tan, S. Liu, Z. Liu, Enhanced multi-rotation computational coherent imaging based on pre-illumination and simulated annealing compensation. J. Opt. 21, 115701 (2019)
Y. Geng, J. Tan, C. Guo, C. Shen, W. Ding, S. Liu, Z. Liu, Computational coherent imaging by rotating a cylindrical lens. Opt. Express 26, 22110–22122 (2018)
S. Zheng, H. Shangguan, X. Zeng, Y. Li, X. Lu, S. Xu, D. Fan, Coherent diffractive imaging via a rotatable cylindrical lens. Opt. Lasers Eng. 124, 105820 (2020)
C. Guo, C. Wei, J. Tan, K. Chen, S. Liu, Q. Wu, Z. Liu, A review of iterative phase retrieval for measurement and encryption. Opt. Lasers Eng. 89, 1–12 (2017)
C. Guo, C. Shen, Q. Li, J. Tan, S. Liu, X. Kan, Z. Liu, A fast-converging iterative method based on weighted feedback for multi-distance phase retrieval. Sci. Rep. 8, 6436 (2018)
L. Zhang, R. Xu, K. Wang, B. Xu, R. Chen, R. Sarwar, D. Zhang, Research on image transmission mechanism through a multimode fiber based on principal component analysis. Opt. Lasers Eng. 134, 106197 (2020)
Y. Zhang, X. Tian, R. Liang, Phase extraction from two randomly phase shifted interferograms by combining advanced principal component analysis and Lissajous ellipse fitting. Opt. Lasers Eng. 132, 106134 (2020)
The image in Fig3. a3 is from URL https://phil.cdc.gov/Details.aspx?pid=23591. The image in Fig3.b3 is from URL https://phil.cdc.gov/Details.aspx?pid=22001
Q. Zuo, Y. Geng, C. Shen, J. Tan, S. Liu, Z. Liu, Accurate angle estimation based on moment for multirotation computation imaging. Appl. Opt. 59, 492–499 (2020)
Z. Wang, A. Bovik, H. Sheikh, E. Simoncelli, Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13, 600–612 (2004)
Acknowledgements
This work was supported by National Natural Science Foundation of China (Nos. 11874132, 61975044, 12074094), and China Scholarship Council (No. 201807320156).
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Wang, J., Geng, Y., Zuo, Q. et al. Computational imaging in multirotation cylinder lens based on precise angle estimation with principal component analysis. Appl. Phys. B 127, 102 (2021). https://doi.org/10.1007/s00340-021-07647-0
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DOI: https://doi.org/10.1007/s00340-021-07647-0