Laser & Optoelectronics Progress, Volume. 58, Issue 24, 2428001(2021)

Modeling and Motion Error Analysis of a Time-of-Flight Image Sensor

Hongxing Niu1、**, Jing Gao1,2、*, and Kaiming Nie1,2
Author Affiliations
  • 1School of Microelectronics, Tianjin University, Tianjin 300072, China
  • 2Tianjin Key Laboratory of Imaging and Sensing Microelectronics Technology, Tianjin 300072, China
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    Figures & Tables(13)
    Conceptual diagram of imaging model of TOF image sensor
    Optical geometric perspective relationship between pixel array and field-of-view
    Effect before and after adding diffuser. (a) Before adding diffuser; (b) after adding diffuser
    Vector diagram of field-of-view based on the phong model
    Four-phase charge sampling process
    Verification in static scenarios. (a) Comparison of measured and simulated distance data at different imaging distances; (b) RMSE comparison of measured and simulated distance data at different imaging distances
    Measured images and simulated three-dimensional (3D) images. (a) Amplitude image of a wall; (b) measured 3D image of a wall; (c) simulated 3D image of a wall; (d) amplitude image of a hemisphere; (e) measured 3D image of a hemisphere; (f) simulated 3D image of a hemisphere
    Mean pixel error (MPE) between measured and simulated 3D images at different frame rates and speeds. (a) Different frame rates; (b) different speeds
    MPE of two exposure modes at different frame rates and speeds. (a) Global shutter; (b) rolling shutter
    Three-dimensional diagram between MPE difference, frame rate and speed
    Relationship between imaging distance and MPE at the lowest point of imaging condition b
    • Table 1. Parameter settings of model

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      Table 1. Parameter settings of model

      SymbolParameter nameParameter value
      cSpeed of light /(m·s-1)3×108
      wp×hpSpecification of pixel array40×30
      fFocal length of lens /m4×10-4
      dVertical imaging distance /m1.5
      LpixelPixel pitch /μm10
      ΔLDistance from point light source to pixel center /m0.01
      rRadius of the hemisphere /m0.375
      KdDiffuse reflection coefficient0.8
      KsSpecular reflection coefficient0.2
      nSpecular highlight coefficient1
      ftFilter transmission rate0.67
      fjLight attenuation coefficient0.85
      IBGIrradiance of background light /(W·m-2)1000
      KVision rate140
      fbFilter blocked rate2.18×10-2
      fmModulation frequency /MHz20
    • Table 2. Optimal imaging indicator

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      Table 2. Optimal imaging indicator

      IndicatorContent
      Shutter typeRolling shutter
      Properties of imaging objectRough
      Speed /(m·s-1)3
      Frame rate /(frame·s-1)66
      Imaging distance /m2
      Focal length of lens /m4×10-4
      Pixel pitch /μm10
      Distance from light source to pixel /m0.01
      Modulation frequency /MHz20
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    Hongxing Niu, Jing Gao, Kaiming Nie. Modeling and Motion Error Analysis of a Time-of-Flight Image Sensor[J]. Laser & Optoelectronics Progress, 2021, 58(24): 2428001

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    Paper Information

    Category: Remote Sensing and Sensors

    Received: Jan. 4, 2021

    Accepted: Feb. 12, 2021

    Published Online: Dec. 3, 2021

    The Author Email: Hongxing Niu (niuhongxing@tju.edu.cn), Jing Gao (gaojing@tju.edu.cn)

    DOI:10.3788/LOP202158.2428001

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