Acta Optica Sinica, Volume. 38, Issue 4, 0411002(2018)

Misaligned Reflective Tomography Image Reconstruction Algorithm Based on Phase Retrieval

Jianbiao Chen1、*, Huayan Sun2, Yanzhong Zhao2, and Congmiao Shan1
Author Affiliations
  • 1 Department of Graduate Management, Equipment Academy of PLA, Beijing 101416, China
  • 2 Department of Optical and Electronic Equipment, Equipment Academy of PLA, Beijing 101416, China
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    Figures & Tables(10)
    Diagram of projection transform. (a) Projection in time domain; (b) center frequency slice
    Flow chart of phase retrieval algorithm
    Sketch of coordinates. (a) Observation coordinates; (b) target coordinates
    Diagram of three-dimensional model of a cone. (a) θ=0°; (b) θ=45°; (c) θ=90°; (d) θ=180°
    Flow chart of phase retrieval of reflective tomography reconstructed images
    Distribution of cone projections. (a) Aligned projections according to target rotation center; (b) misaligned projections with random shift
    Images reconstructed from projections under different conditions. (a) Δθ=1°; (b) image of projections translation when Δθ=1°; (c) Δθ=5°; (d) image of projections translation when Δθ=5°; (e) Δθ=9°; (f) image of projections translation when Δθ=9°; (g) Δθ=18°; (h) image of projections translation when Δθ=18°
    Spectral amplitude distribution of images reconstructed from projections under different conditions. (a) Registered spectrum when Δθ=1°; (b) unregistered spectrum when Δθ=1°; (c) registered spectrum when Δθ=5°; (d) unregistered spectrum when Δθ=5°; (e) registered spectrum when Δθ=9°; (f) unregistered spectrum when Δθ=9°; (g) registered spectrum when Δθ=18°; (h) unregistered spectrum when Δθ=18°
    Phase retrieval images using different initial matrices. (a),(d),(g),(j) Initial matrix images reconstructed with misalignment;(b),(e),(h),(k) random number matrix between 0 and 255; (c),(f),(i),(l) constant matrix with value 10
    • Table 1. Reconstructed image MSE of different initial matrixes when Δθ is different

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      Table 1. Reconstructed image MSE of different initial matrixes when Δθ is different

      Δθ /(°)Original imageReconstructed image with misalignRandom number matrixConstant matrix
      10.87860.20030.23970.2400
      50.39220.17680.22510.2452
      90.58030.23150.32140.3596
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    Jianbiao Chen, Huayan Sun, Yanzhong Zhao, Congmiao Shan. Misaligned Reflective Tomography Image Reconstruction Algorithm Based on Phase Retrieval[J]. Acta Optica Sinica, 2018, 38(4): 0411002

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    Paper Information

    Category: Imaging Systems

    Received: Sep. 22, 2017

    Accepted: --

    Published Online: Jul. 10, 2018

    The Author Email: Chen Jianbiao (general_chen2041@163.com)

    DOI:10.3788/AOS201838.0411002

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