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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 29 — Oct. 10, 2009
  • pp: 5612–5623

Quantification of the optical properties of two-layer turbid materials using a hyperspectral imaging-based spatially-resolved technique

Haiyan Cen and Renfu Lu  »View Author Affiliations

Applied Optics, Vol. 48, Issue 29, pp. 5612-5623 (2009)

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Recent research has shown that a hyperspectral imaging-based spatially-resolved technique is useful for determining the optical properties of homogenous fruits and food products. To better characterize fruit properties and quality attributes, it is desirable to consider fruit to be composed of two homogeneous layers of skin and flesh. This research was aimed at developing a nondestructive method to determine the absorption and scattering properties of two-layer turbid materials with the characteristics of fruit. An inverse algorithm along with the sensitivity coefficient analysis for a two-layer diffusion model was developed for the extraction of optical properties from the spatially-resolved diffuse reflectance data acquired using a hyperspectral imaging system. The diffusion model and the inverse algorithm were validated with Monte Carlo simulations and experimental measurements from solid model samples of known optical properties. The average errors of determining two and four optical parameters were 6.8% and 15.3%, respectively, for Monte Carlo reflectance data. The optical properties of the first or top layer of the model samples were determined with errors of less than 23.0% for the absorption coefficient and 18.4% for the reduced scattering coefficient. The inverse algorithm did not give acceptable estimations for the second or lower layer of the model samples. While the hyperspectral imaging-based spatially-resolved technique has the potential to measure the optical properties of two-layer turbid materials like fruits and food products, further improvements are needed in determining the optical properties of the second layer.

© 2009 Optical Society of America

OCIS Codes
(170.0110) Medical optics and biotechnology : Imaging systems
(170.7050) Medical optics and biotechnology : Turbid media
(290.0290) Scattering : Scattering
(300.1030) Spectroscopy : Absorption

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: July 2, 2009
Revised Manuscript: September 8, 2009
Manuscript Accepted: September 10, 2009
Published: October 7, 2009

Virtual Issues
Vol. 4, Iss. 12 Virtual Journal for Biomedical Optics

Haiyan Cen and Renfu Lu, "Quantification of the optical properties of two-layer turbid materials using a hyperspectral imaging-based spatially-resolved technique," Appl. Opt. 48, 5612-5623 (2009)

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  1. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (SPIE, 2000).
  2. J. Qin and R. Lu, “Measurement of the optical properties of fruits and vegetables using spatially resolved hyperspectral diffuse reflectance imaging technique,” Postharv. Biol. Technol. 49, 355-365 (2008). [CrossRef]
  3. R. M. P. Doornbos, R. Lang, M. C. Aalders, F. W. Cross, and H. Sterenborg, “The determination of in vivo human tissue optical properties and absolute chromophore concentrations using spatially resolved steady-state diffuse reflectance spectroscopy,” Phys. Med. Biol. 44, 967-981 (1999). [CrossRef] [PubMed]
  4. Y. Du, X. H. Hu, M. Cariveau, X. Ma, G. W. Kalmus, and J. Q. Lu, “Optical properties of porcine skin dermis between 900 nm and 1500 nm,” Phys. Med. Biol. 46, 167-181 (2001). [CrossRef] [PubMed]
  5. K. P. Rao, S. Radhakrishnan, and M. R. Reddy, “Brain tissue phantoms for optical near infrared imaging,” Exp. Brain Res. 170, 433-437 (2006). [CrossRef]
  6. M. Friebel, A. Roggan, G. Muller, and M. Meinke, “Determination of optical properties of human blood in the spectral range 250 to 1100 nm using Monte Carlo simulations with hematocrit-dependent effective scattering phase function,” J. Biomed. Opt. 11, 034021 (2006). [CrossRef]
  7. M. S. Patterson, B. Chance, and B. C. Wilson, “Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical-properties,” Appl. Opt. 28, 2331-2336(1989). [CrossRef] [PubMed]
  8. M. S. Patterson, J. D. Moulton, B. C. Wilson, K. W. Berndt, and J. R. Lakowicz, “Frequency-domain reflectance for the determination of the scattering and absorption properties of tissue,” Appl. Opt. 30, 4474-4476 (1991). [CrossRef] [PubMed]
  9. R. A. J. Groenhuis, J. J. Tenbosch, and H. A. Ferwerda, “Scattering and absorption of turbid materials determined from reflection measurements. 2. Measuring method and calibration,” Appl. Opt. 22, 2463-2467 (1983). [CrossRef] [PubMed]
  10. R. Cubeddu, C. D'Andrea, A. Pifferi, P. Taroni, A. Torricelli, G. Valentini, C. Dover, D. Johnson, M. Ruiz-Altisent, and C. Valero, “Nondestructive quantification of chemical and physical properties of fruits by time-resolved reflectance spectroscopy in the wavelength range 650-1000 nm,” Appl. Opt. 40, 538-543 (2001). [CrossRef]
  11. J. Qin and R. Lu, “Measurement of the absorption and scattering properties of turbid liquid foods using hyperspectral imaging,” Appl. Spectrosc. 61, 388-396 (2007). [CrossRef] [PubMed]
  12. E. R. Anderson, D. J. Cuccia, and A. J. Durkin, “Detection of bruises on Golden Delicious apples using spatial-frequency-domain imaging,” Proc. SPIE 6430, 64301O (2007). [CrossRef]
  13. R. Lu, H. Cen, M. Huang, and D. P. Ariana, “Optical properties of bruised apple tissue,” in Proceedings of the ASABE Annual International Meeting, 096998 (American Society of Agricultural and Biological Engineers, 2009).
  14. J. M. Schmitt, G. X. Zhou, E. C. Walker, and R. T. Wall, “Multilayer model of photon diffusion in skin,” J. Opt. Soc. Am. A 7, 2141-2153 (1990). [CrossRef] [PubMed]
  15. A. Kienle, M. S. Patterson, N. Dognitz, R. Bays, G. Wagnieres, and H. van den Bergh, “Noninvasive determination of the optical properties of two-layered turbid media,” Appl. Opt. 37, 779-791 (1998). [CrossRef]
  16. J. L. Hollmann and L. V. Wang, “Multiple-source optical diffusion approximation for a multilayer scattering medium,” Appl. Opt. 46, 6004-6009 (2007). [CrossRef] [PubMed]
  17. G. Alexandrakis, D. R. Busch, G. W. Faris, and M. S. Patterson, “Determination of the optical properties of two-layer turbid media by use of a frequency-domain hybrid Monte Carlo diffusion model,” Appl. Opt. 40, 3810-3821 (2001). [CrossRef]
  18. M. Schweiger and S. R. Arridge, “The finite-element method for the propagation of light in scattering media: frequency domain case,” Med. Phys. 24, 895-902 (1997). [CrossRef] [PubMed]
  19. I. Seo, J. S. You, C. K. Hayakawa, and V. Venugopalan, “Perturbation and differential Monte Carlo methods for measurement of optical properties in a layered epithelial tissue model,” J. Biomed. Opt. 12, 014030 (2007). [CrossRef] [PubMed]
  20. P. Gonzalez-Rodriguez and A. D. Kim, “Light propagation in two-layer tissues with an irregular interface,” J. Opt. Soc. Am. A 25, 64-73 (2008). [CrossRef]
  21. R. C. Haskell, L. O. Svaasand, T. T. Tsay, T. C. Feng, and M. S. McAdams, “Boundary-conditions for the diffusion equation in radiative-transfer,” J. Opt. Soc. Am. A 11, 2727-2741(1994). [CrossRef]
  22. L. F. Shampine, “Vectorized adaptive quadrature in MATLAB,” J. Comput. Appl. Math. 211, 131-140 (2008). [CrossRef]
  23. S. H. Tseng, A. Grant, and A. J. Durkin, “In vivo determination of skin near-infrared optical properties using diffuse optical spectroscopy,” J. Biomed. Opt. 13, 014016 (2008). [CrossRef] [PubMed]
  24. J. Beck and K. Arnold, Parameter Estimation in Engineering and Science (Wiley, 1977).
  25. R. Taktak, J. V. Beck, and E. P. Scott, “Optimal experimental design for estimating thermal properties of composite materials,” Int. J. Heat Mass Transf. 36, 2977-2986 (1993). [CrossRef]
  26. F. C. Thomas and Y. Y. Li, “On the convergence of interiro-reflective Newton methods for nonlinear minimization subject to bounds,” Math. Program. 67, 189-224 (1994). [CrossRef]
  27. R. Lu and Y. R. Chen, “Hyperspectral imaging for safety inspection of food and agricultural products,” Proc. SPIE 3544, 121-133 (1999). [CrossRef]
  28. S. A. Prahl, M. J. C. Vangemert, and A. J. Welch, “Determining the optical properties of turbid media by using the adding-doubling method,” Appl. Opt. 32, 559-568 (1993). [CrossRef] [PubMed]
  29. W. Saeys, M. A. Velazco-Roa, S. N. Thennadil, H. Ramon, and B. M. Nicolai, “Optical properties of apple skin and flesh in the wavelength range from 350 to 2200 nm,” Appl. Opt. 47, 908-919 (2008). [CrossRef] [PubMed]
  30. L. Wang, S. L. Jacques, and L. Zheng, “MCML--Monte-Carlo modeling of light transport in multilayered tissues,” Comput. Meth. Programs Biomed. 47, 131-146 (1995). [CrossRef]
  31. I. W. Budiastra, Y. Ikeda, and T. Nishizu, “Optical methods for quality evaluation of fruits (part 1)--optical properties of selected fruits using the Kubelka-Munk theory and their relationships with fruit maturity and sugar content,” J. Japan Soc. Agr. Mach. 60, 117-128 (1998).

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