• Laser & Optoelectronics Progress
  • Vol. 58, Issue 24, 2428001 (2021)
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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    DOI: 10.3788/LOP202158.2428001 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Conceptual diagram of imaging model of TOF image sensor
    Fig. 1. Conceptual diagram of imaging model of TOF image sensor
    Optical geometric perspective relationship between pixel array and field-of-view
    Fig. 2. 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
    Fig. 3. 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
    Fig. 4. Vector diagram of field-of-view based on the phong model
    Four-phase charge sampling process
    Fig. 5. 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
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. 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
    Fig. 9. 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
    Fig. 10. Three-dimensional diagram between MPE difference, frame rate and speed
    Relationship between imaging distance and MPE at the lowest point of imaging condition b
    Fig. 11. Relationship between imaging distance and MPE at the lowest point of imaging condition b
    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 1. Parameter settings of model
    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
    Table 2. Optimal imaging indicator
    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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