Optics and Precision Engineering, Volume. 33, Issue 12, 1831(2025)

Adaptive measurement of off-axis aspheric surfaces of differential confocal based on spatial constraints

Weikuo MA, Lirong QIU, Yihao LI, Weiqian ZHAO, and Yuhan LIU*
Author Affiliations
  • MIIT Key Laboratory of Complex-field Intelligent Exploration,School of Optics and Photonics, Beijing Institute of Technology,Beijing100081,China
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    Figures & Tables(14)
    Translation-rotation scanning principle diagram
    Schematic of coordinate transformation geometry
    Optical schematic of the differential confocal sensor
    Normalized axial response intensity of different angle
    Angle-dependent coincidence difference (β=0)
    Schematic diagram of spatial constraints
    Schematic diagram of envelope area
    Schematic diagram of equivalent cone
    Algorithm simulation schematic diagram
    Laser differential confocal surface measurement system
    Off-axis aspheric surface profile measurement results
    Profile measurement results of 20° tilted surface
    • Table 1. Results of 10 repeated measurements for the off-axis aspheric surface

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      Table 1. Results of 10 repeated measurements for the off-axis aspheric surface

      CountPVRMSPV0RMS0
      19412103
      29714135
      39512123
      49612123
      59411104
      69511112
      7921293
      89313104
      99512114
      109311103
      Mean9412113
      5343
    • Table 2. Results of 10 repeated measurements for the 20° tilted surface

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      View in Article

      Table 2. Results of 10 repeated measurements for the 20° tilted surface

      CountPVRMSPV0RMS0
      18214145
      28514167
      38113134
      48315145
      58213136
      68616156
      78515167
      88214145
      98413155
      108113147
      Mean8314146
      5333
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    Weikuo MA, Lirong QIU, Yihao LI, Weiqian ZHAO, Yuhan LIU. Adaptive measurement of off-axis aspheric surfaces of differential confocal based on spatial constraints[J]. Optics and Precision Engineering, 2025, 33(12): 1831

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    Paper Information

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    Received: Mar. 25, 2025

    Accepted: --

    Published Online: Aug. 15, 2025

    The Author Email:

    DOI:10.37188/OPE.20253312.1831

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