Laser & Optoelectronics Progress, Volume. 57, Issue 18, 181101(2020)

Improved Least Squares Unwrapping Algorithm

Guo Peng, Weiming Li, Yang Huang, Yihai Cheng, and Xingyu Gao*
Author Affiliations
  • Guangxi Key Lab of Manufacturing System and Advanced Manufacturing Technology, Guilin University of Electronic Technology, Guilin, Guangxi 541000, China
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    Figures & Tables(14)
    Grayscale curves of speckle interference
    Matrix example
    New matrix example
    Flow chart of RMI-WLS algorithm
    Identify results of cable and noise area. (a) Three-dimensional graph of peak function; (b) wrapping phase diagram with extension wire; (c) mask matrix diagram of Fig. (b); (d) raster image; (e) drawing of cable noise; (f) mask matrix diagram of Fig.(e); (g) wrapping phase diagrams; (h) mask matrix diagram of Fig. (g)
    Comparison of iteration times and running time of 5 algorithms. (a) Number of iterations; (b) running time
    Results of unwrapping package. (a) Ideal wrapping phase; (b) wrapping phase of galas; (c) unwrapping result of proposed algorithm; (d) unwrapping of SOR for ?; (e) unwrapping of SOR for k; (f) unwarpping of Gauss-Seidel for ?; (g) unwarpping of Gauss-Seidel for k
    Phase diagram with high density local noise. (a) Ideal original phase diagram; (b) phase diagram of RMI-WLS after unwrapping; (c) phase diagram of WLSA-PDA after unwrapping; (d) phase diagram of PCA after unwrapping
    • Table 1. RMS of different algorithms on entire image

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      Table 1. RMS of different algorithms on entire image

      AlgorithmSOR for ϕSOR for kGauss-Seidel for ϕGauss-Seidel for kRMI-WLS
      RMS /rad0.140.130.120.100.07
    • Table 2. Comparison of running time and number of iterations of image with pull line

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      Table 2. Comparison of running time and number of iterations of image with pull line

      AlgorithmSOR for ϕSOR for kGauss-Seidel for ϕGauss-Seidel for kRMI-WLS
      Number of iterations349786034127801
      Time /s59.014.040.017.01.1
    • Table 3. RMS of entire image

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      Table 3. RMS of entire image

      AlgorithmWLSA-PDVPCARMI-WLS
      RMS0.1470.1440.103
    • Table 4. RMS of rectangular region

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      Table 4. RMS of rectangular region

      AlgorithmWLSA-PDVPCARMI-WLS
      RMS0.6830.6960.190
    • Table 5. RMS of non-rectangular regions

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      Table 5. RMS of non-rectangular regions

      AlgorithmWLSA-PDVPCARMI-WLS
      RMS0.1100.1420.102
    • Table 6. Time comparison after adding strong Gaussian noises

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      Table 6. Time comparison after adding strong Gaussian noises

      AlgorithmWLSA-PDVPCARMI-WLS
      Simulation 17.50.11.5
      Simulation 210.40.91.2
      Simulation 310.30.81.1
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    Guo Peng, Weiming Li, Yang Huang, Yihai Cheng, Xingyu Gao. Improved Least Squares Unwrapping Algorithm[J]. Laser & Optoelectronics Progress, 2020, 57(18): 181101

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    Paper Information

    Category: Imaging Systems

    Received: Dec. 10, 2019

    Accepted: Feb. 24, 2020

    Published Online: Sep. 2, 2020

    The Author Email: Gao Xingyu (gxy1981@guet.edu.cn)

    DOI:10.3788/LOP57.181101

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