Chinese Journal of Lasers, Volume. 46, Issue 7, 0704010(2019)

Improved Method for On-Orbit Modulation Transfer Function Detection of Space Cameras

Ying Cheng1,2、*, Hongwei Yi1,2、**, and Xinlong Liu1,3
Author Affiliations
  • 1 Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences,, Xi'an, Shaanxi 710119, China
  • 2 University of Chinese Academy of Sciences, Beijing 100049, China
  • 3 School of Physics & Information Technology, Shaanxi Normal University, Xi'an, Shaanxi 710119, China;
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    Figures & Tables(19)
    Algorithmic process of lunar-edge method
    Flow chart of lunar-edge method
    Encryption matching schematic of ESF
    Generated round-edge simulation images. (a) High-resolution simulation image; (b) low-resolution simulation image; (c) theoretical MTF curve of simulation image
    Edge-area image
    Double Gaussian curve fitting method
    Schematic of test system
    Acquisition images of two test targets. (a) Three-bar target; (b) three-bar target (local amplification); (c) round-edge target 1; (d) round-edge target 2; (e) round-edge target 3
    MTF over-focus curve of three-bar target test
    Results of lunar-edge method from laboratory images. (a) Images of three round-edge targets with different radii; (b) positions of subpixel-edge detection; (c) ESF curves; (d) LSF curves; (e) MTF curves
    MTF over-focus curves of lunar-edge method
    • Table 1. Theoretical MTF values at various spatial frequencies

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      Table 1. Theoretical MTF values at various spatial frequencies

      Spatial frequencyMTFSpatial frequencyMTFSpatial frequencyMTF
      01.000000140.800863280.409192
      10.998751150.774989290.383224
      20.995458160.748124300.358026
      30.989765170.720620310.333701
      40.982020180.692468320.310255
      50.972031190.663928330.287773
      60.960040200.635065340.266251
      70.946013210.606066350.245743
      80.930090220.577041360.226245
      90.912383230.548127370.207774
      100.892939240.519447380.190336
      110.871990250.491109390.173907
      120.849512260.463225400.158507
      130.825830270.435892410.144072
    • Table 2. Theoretical edge position of each line in simulation image

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      Table 2. Theoretical edge position of each line in simulation image

      Row No.Edge positionRow No.Edge positionRow No.Edge position
      133.71881135.48442136.5000
      233.93751235.60942236.5156
      334.14061335.75002336.6250
      434.32811435.87502436.6250
      534.53131535.98442536.6406
      634.70311636.07812636.7500
      734.87501736.17192736.7500
      835.04691836.25002836.7500
      935.18751936.35942936.7500
      1035.34382036.40633036.7500
    • Table 3. Edge detection error of three methods

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      Table 3. Edge detection error of three methods

      SNR /dBEdge detection error /pixel
      InterpolationmethodGray momentmethodFittingmethod
      500.22050.01560.0133
      400.25700.02220.0215
      300.51670.08710.0422
    • Table 4. Edge fitting errorof arcs with different lengths

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      Table 4. Edge fitting errorof arcs with different lengths

      SNR /dBArc degree /(°)Fitting error /pixel
      Straight line fittingPolynomial fittingCircle fitting
      4(6 rows)0.00520.00680.0084
      8(12 rows)0.05750.02540.0255
      12(18 rows)0.09700.02900.0288
      5016(24 rows)0.16530.02590.0257
      20(30 rows)0.25230.02350.0234
      40(60 rows)1.00420.01710.0169
      60(90 rows)2.29330.02200.0144
      4(6 rows)0.00980.01000.1247
      8(12 rows)0.05810.02730.0267
      12(18 rows)0.09760.03080.0306
      4016(24 rows)0.16530.02690.0262
      20(30 rows)0.25240.02390.0238
      40(60 rows)1.00420.01810.0181
      60(90 rows)2.29330.02350.0166
      4(6 rows)0.07880.08030.2666
      8(12 rows)0.09360.07840.0796
      12(18 rows)0.10240.04670.0722
      3016(24 rows)0.16660.03470.0381
      20(30 rows)0.25320.03510.0442
      40(60 rows)1.00500.04320.0424
      60(90 rows)2.29360.04990.0461
    • Table 5. Accuracy results of different methods

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      Table 5. Accuracy results of different methods

      SNR /dBFermiMSG+singleGaussian fittingMSG+doubleGaussian fitting
      50.00.01060.02730.0084
      47.50.01070.02900.0090
      45.00.01080.03080.0095
      42.50.01120.03730.0103
      40.00.01120.03930.0107
      37.50.01310.04040.0129
      35.00.01330.05730.0136
      32.50.01440.06650.0140
      30.00.01390.10490.0142
    • Table 6. Parameters of experimental devices

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      Table 6. Parameters of experimental devices

      Experimental deviceParameter
      Light sourceCenter wavelength:650 nm
      Parallel light pipeFocallength:1000 mm
      LensRelative aperture:1∶12
      CCD detectorCell size:0.012 mm
    • Table 7. MTF values of three-bar target test

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      Table 7. MTF values of three-bar target test

      Defocus position /mmMTFDefocus position /mmMTFDefocus position /mmMTF
      -0.750.00920-0.250.167640.250.19157
      -0.700.01141-0.200.180510.300.14862
      -0.650.02217-0.150.193760.350.13900
      -0.600.03439-0.100.221160.400.11761
      -0.550.04168-0.050.23330.450.09270
      -0.500.056880.000.225680.500.05384
      -0.450.086020.050.221860.550.04535
      -0.400.102150.100.217100.600.01680
      -0.350.126320.150.217920.650.00032
      -0.300.138910.200.199570.700.00012
    • Table 8. MTF values of round-edge target test

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      Table 8. MTF values of round-edge target test

      Defocusposition /mmRound-edgetarget 1Round-edgetarget 2Round-edgetarget 3
      -0.750.001090.058280.06555
      -0.700.036120.068230.07635
      -0.650.066080.084100.08156
      -0.600.034070.082100.09555
      -0.550.070760.088050.09635
      -0.500.083720.115300.13225
      -0.450.082010.142310.12667
      -0.400.103690.154500.15703
      -0.350.112790.154770.16997
      -0.300.140800.177890.19099
      -0.250.162250.172680.19216
      -0.200.184240.184410.21711
      -0.150.195070.201690.22634
      -0.100.196210.202180.23121
      -0.050.214910.197510.21939
      0.000.229240.204780.23830
      0.050.220830.200340.21507
      0.100.220780.212540.20748
      0.150.215890.180540.19756
      0.200.207500.189070.18829
      0.250.184070.175100.17659
      0.300.141500.142350.15959
      0.350.139550.126490.10052
      0.400.106180.100870.08592
      0.450.090210.066740.08080
      0.500.076640.060610.06878
      0.550.060890.022110.00700
      0.600.057720.005950.03814
      0.650.000380.002490.03138
      0.700.000810.000340.03958
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    Ying Cheng, Hongwei Yi, Xinlong Liu. Improved Method for On-Orbit Modulation Transfer Function Detection of Space Cameras[J]. Chinese Journal of Lasers, 2019, 46(7): 0704010

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    Paper Information

    Category: measurement and metrology

    Received: Nov. 16, 2018

    Accepted: Feb. 25, 2019

    Published Online: Jul. 11, 2019

    The Author Email: Cheng Ying (chengying2015@opt.cn), Yi Hongwei (chengying2015@opt.cn)

    DOI:10.3788/CJL201946.0704010

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