• Laser & Optoelectronics Progress
  • Vol. 57, Issue 16, 161102 (2020)
Lixuan Chen1、2, Peng Rao1、*, Yingying Sun1、2, Qiang Ren1, and Hanlu Zhu1、2
Author Affiliations
  • 1Key Laboratory of Intelligent Infrared Perception, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/LOP57.161102 Cite this Article Set citation alerts
    Lixuan Chen, Peng Rao, Yingying Sun, Qiang Ren, Hanlu Zhu. On-Orbit Modulation Transfer Function Measurement Method of Space Cameras Based on Star Points[J]. Laser & Optoelectronics Progress, 2020, 57(16): 161102 Copy Citation Text show less
    Point source imaging system
    Fig. 1. Point source imaging system
    Schematic of point source method
    Fig. 2. Schematic of point source method
    Schematic of star point method reconstructionPSF process
    Fig. 3. Schematic of star point method reconstructionPSF process
    Simulation results of few pixels star point images. (a) Image1; (b) image2; (c) image3; (d) image4
    Fig. 4. Simulation results of few pixels star point images. (a) Image1; (b) image2; (c) image3; (d) image4
    Simulation results of multi-pixel star point images. (a) Image1; (b) image2; (c) image3; (d) image4
    Fig. 5. Simulation results of multi-pixel star point images. (a) Image1; (b) image2; (c) image3; (d) image4
    Scatter plots of star point images. (a) Scatter plot of single star point image; (b) encrypted scatter plot of 4 star point images registration
    Fig. 6. Scatter plots of star point images. (a) Scatter plot of single star point image; (b) encrypted scatter plot of 4 star point images registration
    Scatter plots of star point images registered with different number of images. (a) Single image; (b) 4 images; (c) 6 images; (d) 8 images; (e) 10 images
    Fig. 7. Scatter plots of star point images registered with different number of images. (a) Single image; (b) 4 images; (c) 6 images; (d) 8 images; (e) 10 images
    Normalized MSE of PSF and MTF under different number of registered images. Few pixels star point images, (a) MSE after PSF normalization, (b) MSE after MTF normalization; multi-pixel star point images, (c) MSE after PSF normalization; (d) MSE after MTF normalization
    Fig. 8. Normalized MSE of PSF and MTF under different number of registered images. Few pixels star point images, (a) MSE after PSF normalization, (b) MSE after MTF normalization; multi-pixel star point images, (c) MSE after PSF normalization; (d) MSE after MTF normalization
    MTF obtained by LSF through different processing methods under different images. (a) Few pixels star point simulation images; (b) multi-pixel star point simulation images
    Fig. 9. MTF obtained by LSF through different processing methods under different images. (a) Few pixels star point simulation images; (b) multi-pixel star point simulation images
    Schematic of optimized star point method
    Fig. 10. Schematic of optimized star point method
    MSE curves of MTF under different noise standard deviations
    Fig. 11. MSE curves of MTF under different noise standard deviations
    Star point simulation diagram with different radius. (a) 0.4 pixel; (b) 0.6 pixel; (c) 0.8 pixel; (d) 0.9 pixel; (e) 1.0 pixel; (f) 2.0 pixel; (g) 3.0 pixel; (h) 4.0 pixel
    Fig. 12. Star point simulation diagram with different radius. (a) 0.4 pixel; (b) 0.6 pixel; (c) 0.8 pixel; (d) 0.9 pixel; (e) 1.0 pixel; (f) 2.0 pixel; (g) 3.0 pixel; (h) 4.0 pixel
    MSE curves of MTF under different radius
    Fig. 13. MSE curves of MTF under different radius
    Point source image sequences with different defocus. (a) -0.2 mm; (b) -0.1 mm; (c) 0 mm; (d) +0.1 mm; (e) +0.2 mm
    Fig. 14. Point source image sequences with different defocus. (a) -0.2 mm; (b) -0.1 mm; (c) 0 mm; (d) +0.1 mm; (e) +0.2 mm
    Overfocus curves of traditional point source method and proposed method
    Fig. 15. Overfocus curves of traditional point source method and proposed method
    StepMethod
    Detect star point center positionCentroid method, centroid weighting method, Gaussian fitting method, edge circle fitting method
    Reconstruct PSF2D Gaussian fitting of single image, 2D Gaussian fitting of reconstructed image
    Obtain MTF by Fourier transformGaussian fitting Fourier transform, window Fourier transform
    Table 1. Processing method of each step in star point method
    ImageMSE/pixel
    CentroidmethodCentroidweightingmethodGaussianfittingmethod
    4(a)0.037880.025770.01596
    4(b)0.042620.019270.00790
    4(c)0.030200.016880.00725
    4(d)0.024640.011970.01545
    Mean ofMSE /pixel0.047210.019300.01415
    Runningtime /(10-4 s)0.160430.32019221.09170
    Table 2. Comparison of center positioning error and running time of few pixels simulation star point images
    ImageMSE /pixel
    Centroid methodCentroidweighting methodGaussianfitting methodEdge circlefitting method
    5(a)0.047260.019880.009490.00483
    5(b)0.010660.017430.024920.07244
    5(c)0.026790.008660.015780.08593
    5(d)0.046480.030290.015260.08104
    Mean of MSE /pixel0.109090.095420.089430.13456
    Running time /(10-4 s)0.960311.07636793.2160124.89920
    Table 3. Comparison of center positioning error and running time of multi-pixel simulation star point images
    Image numberMSE /pixel
    Few pixels star point simulation imageMulti-pixel star point simulation image
    Hanningwindow methodGaussianfitting methodHanningwindow methodGaussianfitting method
    10.0078050.0062890.0011380.000619
    20.0083020.0066260.0011980.000674
    30.0082480.0065690.0011360.000624
    40.0088120.0074680.0010700.000578
    50.0072170.0046320.0010870.000583
    60.0084270.0063470.0011150.000599
    70.0085210.0066490.0010870.000582
    80.0075630.0064800.0011580.000623
    90.0099120.0081390.0011220.000595
    100.0083780.0068210.0011750.000645
    Mean of MSE /pixel0.0083190.0066020.0011290.000612
    Table 4. MSE of MTF obtained by different LSF processing methods under different number of images
    Standard deviation of noise5101520253040
    MSE/(10-6 pixel)0.0083620.0463300.3338001.0757006.76060031.104400345.573100
    Table 5. MSE of MTF under different noise standard deviations
    Radius /pixel0.91.02.03.04.05.0
    MSE /pixel0.1850500.1596300.0510700.0213000.0105300.006654
    Table 6. MSE of MTF under different radius of dispersion circles
    DeviceParameterValue
    Light sourceCenter wavelength/ nm550
    CMOS detectorCell size/ mm0.00345
    LensFocal length/ mm50
    Table 7. Parameters of imaging system
    MethodSharpnessratioSensitivityMean value /(cycles·pixel-1)
    Traditional5.27580.39380.05885
    Proposed5.31200.73220.06560
    Table 8. Index evaluation results
    Lixuan Chen, Peng Rao, Yingying Sun, Qiang Ren, Hanlu Zhu. On-Orbit Modulation Transfer Function Measurement Method of Space Cameras Based on Star Points[J]. Laser & Optoelectronics Progress, 2020, 57(16): 161102
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