Laser & Optoelectronics Progress, Volume. 58, Issue 6, 600002(2021)

Star Location Method Based on Improved Linear Interpolation

Yan Xuliang*, Yang Gongliu, and Wang Lu
Author Affiliations
  • School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China
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    Figures & Tables(8)
    Images of single star point. (a) Without noise; (b) with noise
    Linear interpolation results of different functions. (a) Convex function; (b) concave function
    Simulated noise star map
    Accuracy improvement ratio
    Center extraction error of each star point
    • Table 1. Results of functional analysis

      View table

      Table 1. Results of functional analysis

      Range of dFirst derivativeSecond derivative
      (0,σ)Subtractive function<0
      σf'(σ)0
      (σ,+¥)Increasing function>0
    • Table 2. Real coordinates of star points

      View table

      Table 2. Real coordinates of star points

      NumberTrue coordinate
      1(-61.7446 pixel, 34.32417 pixel)
      2(-60.9765 pixel, 24.10935 pixel)
      3(-47.4128 pixel, 64.57945 pixel)
      4(-46.2244 pixel, 30.54815 pixel)
      5(-30.2613 pixel, 4.082314 pixel)
      6(-24.0949 pixel, 48.02352 pixel)
      7(-8.09864 pixel, 23.47342 pixel)
      8(14.97539 pixel, 34.48306 pixel)
      9(28.78171 pixel,-35.9072 pixel)
      10(33.79329 pixel, 21.50791 pixel)
      11(35.88439 pixel, 60.15412 pixel)
      12(36.61397 pixel, 45.43025 pixel)
      13(38.42026 pixel, 12.5518 pixel)
      14(48.04826 pixel,-47.6104 pixel)
      15(49.49402 pixel,-52.475 pixel)
      16(55.49218 pixel, 34.40737 pixel)
      17(57.24585 pixel, -8.64415 pixel)
      18(58.51987 pixel,-18.4205 pixel)
    • Table 3. Calculation results of two methods

      View table

      Table 3. Calculation results of two methods

      NumberResult of linear interpolationDeviation error by traditional method /pixelResult of improved linear interpolationDeviation error by improved method /pixelReduction ratio
      1(-61.8887 pixel,34.3113 pixel)0.1447(-61.7622 pixel,34.2042 pixel)0.12130.1619
      2(-60.9989 pixel,24.0211 pixel)0.0910(-60.9277 pixel,24.0533 pixel)0.07430.1830
      3(-47.4626 pixel,64.5324 pixel)0.0686(-47.4449 pixel,64.5391 pixel)0.05160.2482
      4(-46.0905 pixel,30.8265 pixel)0.3089(-46.0325 pixel30.7285 pixel)0.26330.1474
      5(-30.1873 pixel,3.9527 pixel)0.1492(-30.2083 pixel,4.1972 pixel)0.12650.1525
      6(-24.0368 pixel,47.9632 pixel)0.0838(-24.0748 pixel,48.0889 pixel)0.06840.1831
      7(-8.0335 pixel,23.7265 pixel)0.2613(-8.0199 pixel,23.6892 pixel)0.22960.1211
      8(14.9887 pixel,34.7327 pixel)0.2500(15.0900 pixel,34.6670 pixel)0.21670.1333
      9(28.7742 pixel,-36.0652 pixel)0.1582(28.7921 pixel,-35.7738 pixel)0.13380.1545
      10(33.8256 pixel,21.8126 pixel)0.3064(33.6201 pixel,21.7106 pixel)0.26660.1300
      11(35.8820 pixel,60.0020 pixel)0.1521(35.9624 pixel,60.2564 pixel)0.12870.1540
      12(36.6093 pixel,45.5325 pixel)0.1024(36.5881 pixel,45.5121 pixel)0.08580.1616
      13(38.4751 pixel,12.4801 pixel)0.0903(38.4945 pixel,12.5495 pixel)0.07420.1776
      14(48.0111 pixel,-47.7989 pixel)0.1922(48.0978 pixel,-47.7662 pixel)0.16350.1493
      15(49.5268 pixel,-52.4982 pixel)0.0402(49.5232 pixel,-52.4708 pixel)0.02950.2661
      16(55.5017 pixel,34.5017 pixel)0.0948(55.5549 pixel,34.4529 pixel)0.07750.1819
      17(57.1735 pixel,-8.5235 pixel)0.1407(57.3638 pixel,-8.6292 pixel)0.11890.1547
      18(58.5149 pixel,-18.4851 pixel)0.0648(58.5688 pixel,-18.4412 pixel)0.05310.1803
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    Yan Xuliang, Yang Gongliu, Wang Lu. Star Location Method Based on Improved Linear Interpolation[J]. Laser & Optoelectronics Progress, 2021, 58(6): 600002

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    Paper Information

    Category: Reviews

    Received: Jul. 6, 2020

    Accepted: --

    Published Online: Mar. 1, 2021

    The Author Email: Xuliang Yan (yanxuliang@buaa.edu.cn)

    DOI:10.3788/LOP202158.0600002

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