Acta Optica Sinica, Volume. 41, Issue 2, 0210001(2021)

Improved Minimum Cost Flow Algorithm for Phase Unwrapping

Heng Shao*, Yong Zhou, Zhongyuan Nie, and Junfeng Qi
Author Affiliations
  • Beijing Spacecraft Co., Ltd., China Academy of Space Technology, Beijing 100094, China
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    Figures & Tables(11)
    Phase difference image of electronic speckle pattern shearing interferometry
    Principle of residues preprocessing. (a)(c) Criterion for moving residues; (b)(d) result of residues preprocessing
    Residues and minimum cost path network before and after preprocessing for a filter image. (a) Filter image; (b) before preprocessing; (c) after preprocessing
    Simulated phase diagram. (a) Without noise; (b) with noise
    Filter result. (a) Filter image; (b) cost image
    Butterworth filter image and unwrapped phase image. (a) Filter image; (b) unwrapped phase image
    Influence of residues preprocessing parameters on MCF phase unwrapping accuracy
    Influence of number of residues on unwrapping time
    Influence of the residues preprocessing on the MCF unwrapped phase of measured phase difference images. (a)(b) Measured phase difference images and corresponding filter images; (c)(d) MCF unwrapped phase images without and with preprocessing
    • Table 1. Influence of residues preprocessing parameters on time consuming for MCF phase unwrappingunit: s

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      Table 1. Influence of residues preprocessing parameters on time consuming for MCF phase unwrappingunit: s

      fcut-off/Hz8090100110120130140150160170
      NR299440155350678684971039812629149931780720717
      No preprocessing17.839.989.21873837761560293053809050
      Fmin =0.016.708.449.9411.2013.1014.6018.8019.8021.6027.60
      Fmin =0.0012.703.123.374.014.415.466.597.6510.2013.20
      Fmin =0.00012.702.852.853.243.954.916.077.4110.3012.70
    • Table 2. Influence of residues preprocessing on the processing time and accuracy of the MCF phase unwrapping

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      Table 2. Influence of residues preprocessing on the processing time and accuracy of the MCF phase unwrapping

      ImageFig.9(a1)Fig.9(a2)
      fcut-off /Hz80150
      Number of residues7406874
      WithoutpreprocessingTime /s3.45221
      EWWMS /rad0.8600.850
      Preprocessing withFmin =0.01Time /s1.605.43
      EWWMS /rad0.8600.852
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    Heng Shao, Yong Zhou, Zhongyuan Nie, Junfeng Qi. Improved Minimum Cost Flow Algorithm for Phase Unwrapping[J]. Acta Optica Sinica, 2021, 41(2): 0210001

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    Paper Information

    Category: Image Processing

    Received: Jul. 7, 2020

    Accepted: Aug. 26, 2020

    Published Online: Feb. 27, 2021

    The Author Email: Shao Heng (shao_heng@126.com)

    DOI:10.3788/AOS202141.0210001

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