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Acta Optica Sinica, Volume. 41, Issue 9, 0930001(2021)

Fiber Evidence Identification Based on Spectral Bidirectional Reflectance Distribution Function

Chunlai Sui1, Yong Tan1、*, Ye Zhang1, Lu Chen1, Maolin Feng1, and Fengyi Liu2
Author Affiliations
  • 1School of Science, Changchun University of Science and Technology, Changchun, Jilin 130022, China
  • 2Jilin Judicial Appraisal Center, Jilin, Jilin 132011, China
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    AbstractGet PDF(in Chinese)
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    References (18)
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    Schematic of target scattering spectrum measurement

    Fig. 1. Schematic of target scattering spectrum measurement

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    Experimental device diagram

    Fig. 2. Experimental device diagram

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    Spectral lines of BRDF value of ice wire sample in purple sample group calculated when the incident angle is 45° and the observation angle is 30°, 45°, and 60° as function of wavelength. (a) Spectral lines; (b) normalized spectral lines

    Fig. 3. Spectral lines of BRDF value of ice wire sample in purple sample group calculated when the incident angle is 45° and the observation angle is 30°, 45°, and 60° as function of wavelength. (a) Spectral lines; (b) normalized spectral lines

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    Spectral lines of each sample in purple sample group calculated when the incident angle is 45° and observation angle is 60°. (a) Spectral line of BRDF value changing with wavelength; (b) spectral line of the difference value between X-fiber and each sample in purple sample group as a function of wavelength; (c) spectral line of the first-order differential of BRDF value varying with the wavelength; (d) spectral line of the first-order differential difference of BRDF value between X-fiber and each sample in purple sample group as a function of wavelength

    Fig. 4. Spectral lines of each sample in purple sample group calculated when the incident angle is 45° and observation angle is 60°. (a) Spectral line of BRDF value changing with wavelength; (b) spectral line of the difference value between X-fiber and each sample in purple sample group as a function of wavelength; (c) spectral line of the first-order differential of BRDF value varying with the wavelength; (d) spectral line of the first-order differential difference of BRDF value between X-fiber and each sample in purple sample group as a function of wavelength

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    Spectral lines of each sample in purple sample group calculated when the incident angle is 45° and observation angle is 45°. (a) Spectral line of BRDF value changing with wavelength; (b) spectral line of the difference value between X-fiber and each sample in purple sample group as a function of wavelength; (c) spectral line of the first-order differential of BRDF value varying with the wavelength; (d) spectral line of the first-order differential difference of BRDF value between X-fiber and each sample in purple sample group as a function of wavelength

    Fig. 5. Spectral lines of each sample in purple sample group calculated when the incident angle is 45° and observation angle is 45°. (a) Spectral line of BRDF value changing with wavelength; (b) spectral line of the difference value between X-fiber and each sample in purple sample group as a function of wavelength; (c) spectral line of the first-order differential of BRDF value varying with the wavelength; (d) spectral line of the first-order differential difference of BRDF value between X-fiber and each sample in purple sample group as a function of wavelength

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    Spectral lines of each sample in purple sample group calculated when the incident angle is 45° and observation angle is 30°. (a) Spectral line of BRDF value changing with wavelength; (b) spectral line of the difference value between X-fiber and each sample in purple sample group as a function of wavelength; (c) spectral line of the first-order differential of BRDF value varying with the wavelength; (d) spectral line of the first-order differential difference of BRDF value between X-fiber and each sample in purple sample group as a function of wavelength

    Fig. 6. Spectral lines of each sample in purple sample group calculated when the incident angle is 45° and observation angle is 30°. (a) Spectral line of BRDF value changing with wavelength; (b) spectral line of the difference value between X-fiber and each sample in purple sample group as a function of wavelength; (c) spectral line of the first-order differential of BRDF value varying with the wavelength; (d) spectral line of the first-order differential difference of BRDF value between X-fiber and each sample in purple sample group as a function of wavelength

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    BRDF value and least square fitting curve of each sample in gray sample group calculated when incidence angle is 45° and observation angle is 30°

    Fig. 7. BRDF value and least square fitting curve of each sample in gray sample group calculated when incidence angle is 45° and observation angle is 30°

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    Simulation results of three samples in red sample group by Davis model.(a) Silk sample; (b) cotton sample; (c) woolen sample 1

    Fig. 8. Simulation results of three samples in red sample group by Davis model.(a) Silk sample; (b) cotton sample; (c) woolen sample 1

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    Simulation results of three samples in red sample group in wavelength of 500-950 nm by Davis model. (a) Silk sample; (b) cotton sample; (c) woolen sample 1

    Fig. 9. Simulation results of three samples in red sample group in wavelength of 500-950 nm by Davis model. (a) Silk sample; (b) cotton sample; (c) woolen sample 1

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    • Table 1. Classification table of fiber samples

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      Table 1. Classification table of fiber samples

      Sample colorSample materialObservation angle /(°)
      PurpleIce silk, rich yarn, sweat cloth, chemical fiber, random hemp, organza30,45,60
      GreySatin, synthetic fiber, hemp, woolen cloth, cotton, cotton and linen30,45,60
      RedCotton, wool 1, wool 2, satin, silk, polyester30,45,60

    • Table 2. Least square fitting parameters of BRDF value of each sample in gray sample group calculated when incident angle is 45°and observation angle is 30°

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      Table 2. Least square fitting parameters of BRDF value of each sample in gray sample group calculated when incident angle is 45°and observation angle is 30°

      Sample typeFitting curve functionSum of squares of residualsR2
      SatinFr=53.41-0.28λ+4.85λ2-2.82λ30.018750.40620
      Synthetic fiberFr=-457.84+3.34λ-0.010λ2+1.09λ3-4.92λ40.026640.30828
      HempFr=1.29-0.0025λ+1.265λ2+1.48λ30.009090.43141
      Woolen clothFr=0.0059+0.00175λ-4.574λ2+3.638λ30.003110.89216
      CottonFr=119.095-0.83λ+0.00218λ2-2.53λ30.004730.70283
      Cotton and linenFr=12.274-0.087λ+2.364λ2-2.865λ3+1.304λ40.003940.78362
      Y-fiberFr=1.26789-0.0044λ+5.49λ2-1.8833λ30.003140.88796

    • Table 3. Relationship between surface roughness of each sample in red sample group and autocorrelation length

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      Table 3. Relationship between surface roughness of each sample in red sample group and autocorrelation length

      Sample(red)Surfaceroughness /μmAutocorrelationlength /μm
      Silk0.27.2061
      Cotton0.45.1638
      Woolen cloth 10.85.0435
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    Chunlai Sui, Yong Tan, Ye Zhang, Lu Chen, Maolin Feng, Fengyi Liu. Fiber Evidence Identification Based on Spectral Bidirectional Reflectance Distribution Function[J]. Acta Optica Sinica, 2021, 41(9): 0930001

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    Paper Information

    Category: Spectroscopy

    Received: Sep. 14, 2020

    Accepted: Dec. 1, 2020

    Published Online: May. 10, 2021

    The Author Email: Tan Yong (laser95111@126.com)

    DOI:10.3788/AOS202141.0930001

    Topics

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