Laser & Optoelectronics Progress, Volume. 59, Issue 20, 2011019(2022)

Measurement Method of Virtual Field of View in Augmented Reality Optical Systems

Fangxu Tian and Jun Zhang*
Author Affiliations
  • Guangzhou Key Laboratory of Visible Light Communication, College of Science and Engineering, Jinan University, Guangzhou 510632, Guangdong, China
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    Figures & Tables(11)
    Schematic of virtual field of view calculation in AR optical system
    Flow chart of virtual field of view measurement algorithm
    Experimental set-up for the VFOV measurement system
    Input images used for VFOV measurements
    Photographed images of the maximum displayed virtual images by the AR lens sample. (a) VID measurement is 1070 mm; (b) VID measurement is 1360 mm; (c) VID measurement is 1530 mm
    Float range of the measurement result in VFOV due to different VID measurements when each parameter is taken as a threshold. (a) Ymax; (b) Ymin; (c) Ymean; (d) Yavg; (e) Ymed; (f) Yrms
    Effective field of view extracted when using 64% of average pixel luminance value as the luminance threshold. (a) VID measurement is 1070 mm; (b) VID measurement is 1360 mm; (c) VID measurement is 1530 mm
    • Table 1. Parameters of the devices used in the VFOV measurement system

      View table

      Table 1. Parameters of the devices used in the VFOV measurement system

      ParameterValue
      Image sourceDLP5530PGUQ1EVM
      Size of CMOS /(''1/2
      Resolution of CMOS2048×1536
      Exposure time /ms50
      Focal length of lens /mm6
      FOV of lens /[(°)×(°)]41.6×53.8
      f-number1.4
      Distortion of lens /%<0.1
    • Table 2. Brightness thresholds tested and their range of values

      View table

      Table 2. Brightness thresholds tested and their range of values

      Brightness thresholds YTHRange of values
      YTH=Ymax×kk=50-i,i=0,1,,30
      YTH=Ymin×0.1kk=50-i,i=0,1,,30
      YTH=Ymean×kk=120-2i,i=0,1,,30
      YTH=Yavg×kk=120-2i,i=0,1,,30
      YTH=Ymed×kk=120-2i,i=0,1,,30
      YTH=Yrms×kk=100-2i,i=0,1,,30
    • Table 3. Average results of VFOV measurement with each parameter at different magnifications as thresholds

      View table

      Table 3. Average results of VFOV measurement with each parameter at different magnifications as thresholds

      Parameter as thresholdVertical VFOV result /(°)Horizontal VFOV result /(°)
      Ymax24.023±1.29843.484±1.856
      Ymin27.072±4.07045.365±1.353
      Ymean28.063±4.10246.005±0.889
      Yavg22.380±1.16440.677±2.102
      Ymed33.058±3.67947.504±1.098
      Yrms22.133±1.69540.475±2.639
    • Table 4. Float range of the virtual image field of view measurements in different values of the virtual image distance measurements

      View table

      Table 4. Float range of the virtual image field of view measurements in different values of the virtual image distance measurements

      Float range of the measurement result of VFOVVertical VFOV result /(°)Horizontal VFOV result /(°)
      maximum28.053±2.63047.615±1.685
      average25.793±0.47343.574±0.549
      minimum23.613±0.22842.936±0.360
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    Fangxu Tian, Jun Zhang. Measurement Method of Virtual Field of View in Augmented Reality Optical Systems[J]. Laser & Optoelectronics Progress, 2022, 59(20): 2011019

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    Paper Information

    Category: Imaging Systems

    Received: Mar. 8, 2022

    Accepted: May. 24, 2022

    Published Online: Oct. 11, 2022

    The Author Email: Zhang Jun (Tzhangjun_oe@jnu.edu.cn)

    DOI:10.3788/LOP202259.2011019

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