• Laser & Optoelectronics Progress
  • Vol. 58, Issue 24, 2410005 (2021)
Xiufeng Wang, Xiaowei Sun*, Jiake Wang, Xu Gao, and Hang Yang
Author Affiliations
  • College of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China
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    DOI: 10.3788/LOP202158.2410005 Cite this Article Set citation alerts
    Xiufeng Wang, Xiaowei Sun, Jiake Wang, Xu Gao, Hang Yang. Focus Measure Operator Combining Cosine Transform and Laplacian Operator[J]. Laser & Optoelectronics Progress, 2021, 58(24): 2410005 Copy Citation Text show less
    Focus evaluation curve
    Fig. 1. Focus evaluation curve
    Implementation block diagram of focus evaluation method
    Fig. 2. Implementation block diagram of focus evaluation method
    Figures of object model. (a) Bar; (b) Trapezoid; (c) Circle
    Fig. 3. Figures of object model. (a) Bar; (b) Trapezoid; (c) Circle
    Object scanning imaging model
    Fig. 4. Object scanning imaging model
    Simulated defocused sequence images. (a) Bar; (b) Trapezoid; (c) Circle
    Fig. 5. Simulated defocused sequence images. (a) Bar; (b) Trapezoid; (c) Circle
    Simulated focus evaluation curves. (a) A (136, 92); (b) B (61, 61); (c) C(126, 48)
    Fig. 6. Simulated focus evaluation curves. (a) A (136, 92); (b) B (61, 61); (c) C(126, 48)
    Figures of experimental device. (a) Target scanning experiment device figure with lens of f=8 mm; (b) sensor scanning experiment device figure with lens of f=8 mm; (c) sensor scanning experiment device figure with microscope lens of NA=0.65
    Fig. 7. Figures of experimental device. (a) Target scanning experiment device figure with lens of f=8 mm; (b) sensor scanning experiment device figure with lens of f=8 mm; (c) sensor scanning experiment device figure with microscope lens of NA=0.65
    Partial defocused images. (a) Defocused image obtained by moving the target under the imaging lens; (b) defocused image obtained by moving the sensor under the imaging lens; (c) defocus image obtained by moving the sensor under the microscope lens; (d) defocused images obtained through lens zoom
    Fig. 8. Partial defocused images. (a) Defocused image obtained by moving the target under the imaging lens; (b) defocused image obtained by moving the sensor under the imaging lens; (c) defocus image obtained by moving the sensor under the microscope lens; (d) defocused images obtained through lens zoom
    Focus evaluation curves of experimental defocused image. (a) A(222,333); (b) B(380,310); (c) C(290,240); (d) D (180,90)
    Fig. 9. Focus evaluation curves of experimental defocused image. (a) A(222,333); (b) B(380,310); (c) C(290,240); (d) D (180,90)
    SymbolDescriptionFormula
    λWavelength
    NANumerical aperture
    kWave numberk=2π/λ
    fcSystem cut-off frequencyfc=2NA/λ
    qRadial spatial frequencyq=u2+v2,u,v∈[-fc,fc]
    jinc(x)jinc(x)=2J1(x)/x
    ββ=arccos(q/fc)
    zDefocus distance of the object plane
    Table 1. Parameter definitions and description
    MethodSeSp
    ABCMean valueABCMean value
    GEN0.0050.0610.0380.0351.511.861.901.76
    GLV0.0470.0550.0320.0440.661.851.781.43
    SWAV0.0040.0320.0250.0201.421.661.671.58
    SML0.0030.0170.0610.0271.511.681.541.57
    DCT0.0090.0310.1190.0531.901.801.841.85
    Proposed method0.0860.1480.2450.1592.632.273.112.67
    Table 2. Calculation results of simulated defocus image
    DeviceParameter
    SensorCompany / NameVieworks / VH-310C
    Pixel size7.4 μm×7.4 μm
    Active image size640×480
    Bit12 bit, (0--4096)
    LensCompanyComputar
    Focal length2.4--16 mm
    F-number2.4
    MicroscopeNumerical aperture0.65
    Magnification40
    Linear stageCompany / NamePI / M-403.8DG
    Resolution0.5 μm
    Travel range200 mm
    Table 3. Device parameters used in the experiment
    MethodSeSp
    ABCMean valueABCMean value
    GEN0.1900.0520.1180.7031.3490.1650.1851.180
    GLV0.0760.0150.6551.1940.0730.746
    SWAV0.1060.2090.0910.5571.2280.1220.1610.355
    SML0.0960.1160.2500.3751.1810.1560.1450.317
    DCT0.2080.0120.4000.7561.3920.2870.2751.223
    Proposed method0.3030.7340.8390.9731.8161.3131.9651.993
    Table 4. Calculation results of experimental defocus image
    Xiufeng Wang, Xiaowei Sun, Jiake Wang, Xu Gao, Hang Yang. Focus Measure Operator Combining Cosine Transform and Laplacian Operator[J]. Laser & Optoelectronics Progress, 2021, 58(24): 2410005
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