• Laser & Optoelectronics Progress
  • Vol. 57, Issue 18, 181101 (2020)
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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    DOI: 10.3788/LOP57.181101 Cite this Article Set citation alerts
    Guo Peng, Weiming Li, Yang Huang, Yihai Cheng, Xingyu Gao. Improved Least Squares Unwrapping Algorithm[J]. Laser & Optoelectronics Progress, 2020, 57(18): 181101 Copy Citation Text show less
    Grayscale curves of speckle interference
    Fig. 1. Grayscale curves of speckle interference
    Matrix example
    Fig. 2. Matrix example
    New matrix example
    Fig. 3. New matrix example
    Flow chart of RMI-WLS algorithm
    Fig. 4. 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)
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. 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
    AlgorithmSOR for ϕSOR for kGauss-Seidel for ϕGauss-Seidel for kRMI-WLS
    RMS /rad0.140.130.120.100.07
    Table 1. RMS of different algorithms on entire image
    AlgorithmSOR for ϕSOR for kGauss-Seidel for ϕGauss-Seidel for kRMI-WLS
    Number of iterations349786034127801
    Time /s59.014.040.017.01.1
    Table 2. Comparison of running time and number of iterations of image with pull line
    AlgorithmWLSA-PDVPCARMI-WLS
    RMS0.1470.1440.103
    Table 3. RMS of entire image
    AlgorithmWLSA-PDVPCARMI-WLS
    RMS0.6830.6960.190
    Table 4. RMS of rectangular region
    AlgorithmWLSA-PDVPCARMI-WLS
    RMS0.1100.1420.102
    Table 5. RMS of non-rectangular regions
    AlgorithmWLSA-PDVPCARMI-WLS
    Simulation 17.50.11.5
    Simulation 210.40.91.2
    Simulation 310.30.81.1
    Table 6. Time comparison after adding strong Gaussian noises
    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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