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Laser & Optoelectronics Progress, Volume. 62, Issue 16, 1612004(2025)

Convex Aspheric Surface Stitching Measurement Based on Visual Positioning and Fringe Reflection Method

Le Qian1, Hang Yuan2, Qitai Huang1、*, and Jianfeng Ren1
Author Affiliations
  • 1School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, Jiangsu , China
  • 2Shanghai Aerospace Control Technology Institute, Shanghai 201109, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (12)
    Equations (16)
    References (22)
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    Figures & Tables(12)
    Principle of fringe reflection method. (a) Principle of measurement; (b) principle of binocular fringe reflection method

    Fig. 1. Principle of fringe reflection method. (a) Principle of measurement; (b) principle of binocular fringe reflection method

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    Schematic diagram of sub-aperture stitching measurement system based on fringe reflection method

    Fig. 2. Schematic diagram of sub-aperture stitching measurement system based on fringe reflection method

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    Measurement of optical path simulation

    Fig. 3. Measurement of optical path simulation

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    Results of ray tracing. (a) Left camera field of view; (b) right camera field of view

    Fig. 4. Results of ray tracing. (a) Left camera field of view; (b) right camera field of view

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    Detection flow chart of the proposed method

    Fig. 5. Detection flow chart of the proposed method

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    Experiments of measurement accuracy reference. (a) Schematic diagram of experimental devices; (b) detection result of binocular fringe reflection method; (c) detection result of Zygo interferometer

    Fig. 6. Experiments of measurement accuracy reference. (a) Schematic diagram of experimental devices; (b) detection result of binocular fringe reflection method; (c) detection result of Zygo interferometer

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    Experimental system for sub-aperture stitching measurement based on fringe reflection method

    Fig. 7. Experimental system for sub-aperture stitching measurement based on fringe reflection method

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    Measured vector height for various sub-apertures and their global position in experiment

    Fig. 8. Measured vector height for various sub-apertures and their global position in experiment

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    Distribution of vector height after preliminary stitching

    Fig. 9. Distribution of vector height after preliminary stitching

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    Measurement results. (a) Stitching residual map; (b) measurement results from LuphoScan profilometer

    Fig. 10. Measurement results. (a) Stitching residual map; (b) measurement results from LuphoScan profilometer

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    • Table 1. Spatial coordinates of marking points

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      Table 1. Spatial coordinates of marking points

      PointPosition 1Position 2Position 3
      （x， y， z）（x， y， z）（x， y， z）
      1（19.589， -49.364， -20.504）（-52.655， 7.632， -20.208）（32.631， 41.961， -20.928）
      2（3.887， -50.173， -20.440）（-45.505， 21.567， -20.354）（41.236， 28.805， -20.937）
      3（63.079， -27.439， -20.414）（-55.454， -41.011， -19.465）（-8.256， 68.492， -20.379）
      4（86.621， -2.845， -20.468）（-45.954， -73.697， -19.101）（-41.343， 76.426， -20.020）
      5（-77.344， -6.001， -20.486）（33.399， 69.818， -21.464）（44.159， -63.580， -20.715）
      6（-91.599， 63.151， -20.407）（100.406， 47.519， -21.396）（-8.387， -110.722， -19.894）
      7（86.976， 93.870， -20.469）（37.584， -122.45， -18.813）（-125.042， 27.965， -18.845）
      8（-79.761， 94.097， -20.481）（121.246， 21.771， -21.205）（-41.184， -116.156， -19.520）
      9（37.547， 136.285， -20.433）（99.057， -100.940， -19.372）（-136.755， -36.088， -18.475）
      10（3.094， 142.703， -20.471）（121.882， -74.317， -19.882）（-124.921， -69.079， -18.563）

    • Table 2. Marking points error analysis

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      Table 2. Marking points error analysis

      Point（∆x1， ∆y1， ∆z1）（∆x2， ∆y2， ∆z2）
      1（-0.0072， -0.0061， 0.0096）（-0.0085， -0.0010， -0.0043）
      2（0.0517， 0.0121， 0.0247）（-0.0069， 0.0075， -0.0037）
      3（0.0134， 0.0078， -0.0146）（0.0273， 0.0167， 0.0082）
      4（0.0079， 0.0062， 0.0007）（0.0164， 0.0009， 0.0213）
      5（-0.0055， -0.0298， -0.0073）（-0.0372， -0.0198， 0.0431）
      6（-0.0059， -0.0163， 0.0059）（-0.0082， -0.0216， -0.0179）
      7（0.0162， 0.0157， 0.0199）（-0.0005， 0.0087， -0.0056）
      8（0.0061， -0.0292， 0.0053）（-0.0068， -0.0003， -0.0035）
      9（0.0374， 0.0352， 0.0087）（0.0128， -0.0007， -0.0014）
      10（0.0113， 0.0391， 0.0083）（0.0074， -0.0095， 0.0076）
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    Le Qian, Hang Yuan, Qitai Huang, Jianfeng Ren. Convex Aspheric Surface Stitching Measurement Based on Visual Positioning and Fringe Reflection Method[J]. Laser & Optoelectronics Progress, 2025, 62(16): 1612004

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Feb. 14, 2025

    Accepted: Mar. 19, 2025

    Published Online: Aug. 1, 2025

    The Author Email: Qitai Huang (huangqitai@suda.edu.cn)

    DOI:10.3788/LOP250633

    CSTR:32186.14.LOP250633

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology