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Light & Skin Interactions: Simulations for Computer Graphics ApplicationsMay 2010
Publisher:
  • Morgan Kaufmann Publishers Inc.
  • 340 Pine Street, Sixth Floor
  • San Francisco
  • CA
  • United States
ISBN:978-0-12-375093-8
Published:24 May 2010
Pages:
200
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Abstract

Light & Skin Interactions immerses you in one of the most fascinating application areas of computer graphics: appearance simulation. The book first illuminates the fundamental biophysical processes that affect skin appearance, and reviews seminal related works aimed at applications in life and health sciences. It then examines four exemplary modeling approaches as well as definitive algorithms that can be used to generate realistic images depicting skin appearance. An accompanying companion site also includes complete code and data sources for the BioSpec model, which is considered to be the most comprehensive first principles model in the field. Despite its wide scope of simulation approaches, the book s content is presented in a concise manner, focusing on relevant practical aspects. What s more, these approaches can be successfully applied to a wide range of additional materials, such as eye tissue, hair, and water. Allows you to understand and predict the qualitative and quantitative behavior of complex natural systems A general background on tissue optics clarifies several confusing conceptual issues, saving you valuable time in the early stages of research Includes complete code and data sources for the BioSpec model Table of Contents Chapter 1: Introduction Chapter 2: Light, Optics and Appearance Chapter 3: Image Synthesis Context Chapter 4: Bio-Optical Properties of Human Skin Chapter 5: Simulations in Health and Life Sciences Chapter 6: Biophysically Inspired Approach Chapter 7: First Principles Approach Chapter 8: Diffusion Approximation Approach Chapter 9: Simulation Challenges Chapter 10: Beyond Computer Graphics Applications

References

  1. P. Agache, Assessment of erythema and pallor, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 591-601.Google ScholarGoogle Scholar
  2. P. Agache, Main skin physical constants, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 747-757.Google ScholarGoogle Scholar
  3. P. Agache, Metrology of the stratum corneum, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 101-111.Google ScholarGoogle Scholar
  4. P. Agache, Pigmentation assessment, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 506-510.Google ScholarGoogle Scholar
  5. P. Agache, Thermometry and thermography, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 354-362.Google ScholarGoogle Scholar
  6. P. Agache, S. Diridollou, Subcutis metrology, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 410-424.Google ScholarGoogle Scholar
  7. S. Alaluf, D. Atkins, K. Barret, M. Blount, N. Carter, A. Heath, Ethnic variation inmelanin content and composition in photoexposed and photoprotected human skin, Pigment Cell Res. 15 (2002) 112-118.Google ScholarGoogle Scholar
  8. S. Alaluf, A. Heath, N. Carter, D. Atkins, H. Mahalingam, K. Barrett, R. Kolb, N. Smit, Variation in melanin content and composition in type V and type VI photoexposed and photoprotected human skin: the dominant role of DHI, Pigment Cell Res. 14 (2001) 337-347.Google ScholarGoogle Scholar
  9. S. Alaluf, U. Heinrich, W. Stahl, H. Tronnier, S. Wiseman, Dietary carotenoids contribute to normal human skin color and UV photosensitivity, J. Nutr. 132 (2002) 399-403.Google ScholarGoogle Scholar
  10. W. Allen, H. Gausman, A. Richardson, J. Thomas, Interaction of isotropic light with a compact plant leaf, J. Opt. Soc. Am. 59 (10) (1969) 1376-1379.Google ScholarGoogle Scholar
  11. R. Anderson, J. Parrish, The optics of human skin, J. Invest. Dermatol. 77 (1) (1981) 13-19.Google ScholarGoogle Scholar
  12. E. Angelopoulou, Understanding the color of human skin, in: B.E. Rogowitz and T.N. Pappas (Eds.), Human Vision and Electronic Imaging VI, SPIE, vol. 4299, Bellingham, Washington, 2001, pp. 243-251.Google ScholarGoogle Scholar
  13. ANSI, Nomenclature and definitions for illuminating engineering, in: ANSI/IES RP-6-1986, Illuminating Engineering Society of North America, New York, 1986.Google ScholarGoogle Scholar
  14. M. Arnfield, R. Mathew, J. Tulip, M. Mcphee, Analysis of tissue optical coefficients using an approximate equation valid for comparable absorption and scattering, Phys. Med. Biol. 37 (6) (1992) 1219-1230.Google ScholarGoogle Scholar
  15. J. Arvo, Analytic methods for simulated light transport, Ph.D. thesis, Yale University, December 1995. Google ScholarGoogle Scholar
  16. S. Aydinli, H. Kaase, Measurement of luminous characteristics of daylighting materials, Tech. Rep. IEA SHCP TASK 21 / ECBCS ANNEX 29, Institute of Electronics and Lighting Technology, Technical University of Berlin, September 1999.Google ScholarGoogle Scholar
  17. J. Báni, Phototoxicity, photoirritation and photoallergy detection and assessment, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 483-491.Google ScholarGoogle Scholar
  18. G. Baranoski, D. Eng, An investigation on sieve and detour effects affecting the interaction of collimated and diffuse infrared radiation (750 to 2500 nm) with plant leaves, IEEE Trans. Geosci. Remote Sens. 45 (8) (2007) 2593-2599.Google ScholarGoogle Scholar
  19. G. Baranoski, A. Krishnaswamy, An introduction to light interaction with human skin, Revista de Informática Teórica e Aplicada 11 (2004) 33-62.Google ScholarGoogle Scholar
  20. G. Baranoski, A. Krishnaswamy, B. Kimmel, An investigation on the use of data-driven scattering profiles in Monte Carlo simulations of ultraviolet light propagation in skin tissues, Phys. Med. Biol. 49 (2004) 4799-4809.Google ScholarGoogle Scholar
  21. G. Baranoski, A. Krishnaswamy, B. Kimmel, Increasing the predictability of tissue subsurface scattering simulations, The Vis. Comput. 21 (4) (2005) 265-278.Google ScholarGoogle Scholar
  22. G. Baranoski, J. Rokne, An algorithmic reflectance and transmittance model for plant tissue, Comput. Graph. Forum (EUROGRAPHICS Proceedings) 16 (3) (1997) 141-150.Google ScholarGoogle Scholar
  23. G. Baranoski, J. Rokne, Light Interaction with Plants: A Computer Graphics Perspective, Horwood Publishing, Chichester, UK, 2004.Google ScholarGoogle Scholar
  24. G. Baranoski, J. Rokne, Rendering plasma phenomena: applications and challenges, Comput. Graph. Forum 26 (4) (2007) 743-768.Google ScholarGoogle Scholar
  25. G. Baranoski, J. Rokne, G. Xu, Virtual spectrophotometric measurements for biologically and physically-based rendering, The Vis. Comput. 17 (8) (2001) 506-518.Google ScholarGoogle Scholar
  26. W. Barkas, Analysis of light scattered from a surface of low gloss into its specular and diffuse components, Proc. Phys. Soc. Lond. 51 (1939) 274-295.Google ScholarGoogle Scholar
  27. J. Barth, J. Cadet, J. Césarini, T. Fitzpatrick, A.McKinlay,M.Mutzhas,M. Pathak, M. Peak, D. Sliney, F. Urbach, CIE-134 collection in photobiology and photochemistry, in: TC6-26 report: Standardization of the Terms UV-A1, UV-A2 and UV-B, Commission International de L'Eclairage, 1999.Google ScholarGoogle Scholar
  28. A. Bashkatov, E. Genina, V. Kochubey,V. Tuchin, Optical properties of human skin, subcutaneous and mucous tissues in the wavelength range from 400 to 2000 nm, J. Phys. D Appl. Phys. 38 (2005) 2543-2555.Google ScholarGoogle Scholar
  29. I. Bell, G. Baranoski, More than RGB: moving toward spectral color reproduction, ACM SIGGRAPH Course Notes, San Diego, CA, July 2003 (Course 24).Google ScholarGoogle Scholar
  30. I. Bell, G. Baranoski, Reducing the dimensionality of plant spectral databases, IEEE Trans. Geosci. Remote Sens. 14 (3) (2004) 570-577.Google ScholarGoogle Scholar
  31. E. Bendit, D. Ross, A technique for obtaining the ultraviolet absorption spectrum of solid keratin, Appl. Spectrosc. 15 (4) (1961) 103-105.Google ScholarGoogle Scholar
  32. J. Bennett, Polarization, in: M. Bass, E. Stryland, D. Williams, W. Wolfe (Eds.), Handbook of Optics (Volume I: Fundamentals, Techniques, & Design), Optical Society of America, McGraw-Hill Inc., New York, 1995, pp. 5.1-5.30 (Chapter 5).Google ScholarGoogle Scholar
  33. E. Berry, Diffuse reflection of light from a matt surface, J. Opt. Soc. Am. 7 (8) (1923) 627-633.Google ScholarGoogle Scholar
  34. J. Blinn, Models of light reflection for computer synthesized images, Comput. Graph. (SIGGRAPH Proceedings) 11 (2) (1977) 192-198. Google ScholarGoogle Scholar
  35. C. Bohren, Colors of snow, frozen waterfalls, and icebergs, J. Opt. Soc. Am. 73 (12) (1983) 1646-1652.Google ScholarGoogle Scholar
  36. C. Bohren, Scattering by particles, in: M. Bass, E. Stryland, D. Williams, W. Wolfe (Eds.), Handbook of Optics (Volume I: Fundamentals, Techniques, & Design), Optical Society of America, McGraw-Hill Inc., New York, 1995, pp. 6.1-6.21 (Chapter 6).Google ScholarGoogle Scholar
  37. M. Bouguer, Traite d'optique sur la gradation de la lumiére, M. Ábbe de Lacaille, Paris, 1760.Google ScholarGoogle Scholar
  38. W. Bruls, J. van der Leun, Forward scattering properties of human epidermal layers, Photochem. Photobiol. 40 (1984) 231-242.Google ScholarGoogle Scholar
  39. R. Burden, J. Faires, Numerical Analysis, fifth ed., PWS-KENT Publishing Company, Boston, 1993.Google ScholarGoogle Scholar
  40. W. Butler, Absorption spectroscopy in vivo: theory and application, Annu. Rev. Plant Physiol. 15 (1964) 451-470.Google ScholarGoogle Scholar
  41. S. Chandrasekhar, Radiative Transfer, Dover Publications Inc., New York, 1960.Google ScholarGoogle Scholar
  42. M. Chedekel, Photophysics and photochemistry of melanin, in: M.C.L. Zeise, T. Fitzpatrick (Eds.), Melanin: Its Role in Human Photoprotection, Valdenmar Publishing Company, Overland Park, Kansas, 1995, pp. 11-22, 2223b.Google ScholarGoogle Scholar
  43. B. Chen, K. Stamnes, J. Stamnes, Validity of the diffusion approximation in bio-optical imaging, Appl. Opt. 40 (34) (2001) 6356-6336.Google ScholarGoogle Scholar
  44. T. Chen, G. Baranoski, K. Lin, Bulk scattering approximations for HeNe laser transmitted through paper, Opt. Express 16 (26) (2008) 21762-21771.Google ScholarGoogle Scholar
  45. W. Cheong, S. Prahl, A.Welch, A review of the optical properties of biological tissues, IEEE J. Quantum Electron. 26 (12) (1990) 2166-2185.Google ScholarGoogle Scholar
  46. E. Church, P. Takacs, Surface scattering, in: M. Bass, E. Stryland, D. Williams, W. Wolfe (Eds.), Handbook of Optics (Volume I: Fundamentals, Techniques, & Design), Optical Society of America, McGraw-Hill Inc., New York, 1995, pp. 7.1-7.14 (Chapter 7).Google ScholarGoogle Scholar
  47. D. Churmakov, I. Meglinsky, S. Piletsky, D. Greenhalgh, Analysis of skin tissues spatial fluorescence distribution by the Monte Carlo simulation, J. Phys. D Appl. Phys. 36 (2003) 1722-1728.Google ScholarGoogle Scholar
  48. CIE, Colorimetry Official Recommendations of the International Commission on Illumination, Commission Internationale de L'Eclairage (CIE), May 1970, CIE Colorimetry Committee (E-1.3.1).Google ScholarGoogle Scholar
  49. E. Claridge, S. Cotton, P. Hall, M. Moncrieff, From colour to tissue histology: physics based interpretation of images of pigmented lesions, in: 5th International Conference on Medical Image Computing and Computer Assisted Intervention - MICCAI 2002, Springer-Verlag, Berlin, 2002, pp. 730-738 (Part I). Google ScholarGoogle Scholar
  50. E. Claridge, S. Cotton, P. Hall, M. Moncrieft, From colour to tissue histology: physics based interpretation of images of pigmented skin lesions, Med. Image Anal. 7 (2003) 489-502.Google ScholarGoogle Scholar
  51. F. Clarke, D. Parry, Helmholtz reciprocity: its validity and application to reflectometry, Ltg. Res. Technol. 17 (1) (1985) 1-11.Google ScholarGoogle Scholar
  52. M. Cohen, J. Wallace, Radiosity and Realistic Image Synthesis, Academic Press Professional, Cambridge, 1993. Google ScholarGoogle Scholar
  53. T. Coleman, C. Van Loan, Handbook of Matrix Computations, SIAM Publications, Philadelphia, PA, 1988.Google ScholarGoogle Scholar
  54. D. Contini, F. Martelli, G. Zaccanti, Photon migration through a turbid slab described by a model based on diffusion aproximation. I. theory, Appl. Opt. 39 (19) (1997) 4587-4599.Google ScholarGoogle Scholar
  55. R. Cook, K. Torrance, A reflectance model for computer graphics, ACM Trans. Graph. 1 (1) (1982) 7-24. Google ScholarGoogle Scholar
  56. S. Cotton, E. Claridge, Developing a predictive model of skin colouring, in: SPIE, vol. 2708, Medical Imaging 1996, 1996, pp. 814-825.Google ScholarGoogle Scholar
  57. B. Crowther, Computer modeling of integrating spheres, Appl. Opt. 35 (30) (1996) 5880-5886.Google ScholarGoogle Scholar
  58. K. Dana, B. van Ginneken, S. Nayar, J. Koenderink, Reflectance and texture of real world surfaces, ACM Trans. Graph. 18 (1) (1999) 1-34. Google ScholarGoogle Scholar
  59. M. Darvin, I. Gersonde, M. Meinke, W. Sterry, J. Lademann, Non-invasive in vivo determination of the carotenoids beta-carotene and lycopene concentrations in the human skin using the Raman spectroscopic method, J. Phys. D Appl. Phys. 38 (2005) 2096-2700.Google ScholarGoogle Scholar
  60. D. Delpy, M. Cope, P. Zee, S. Wray, J. Wyatt, Estimation of the optical path-length through tissue from direct flight measurment, Phys. Med. Biol. 33 (12) (1988) 1433-1442.Google ScholarGoogle Scholar
  61. E. d'Eon, D. Luebke, E. Enderton, Efficient rendering of human skin, in: Rendering Techniques 2007: 18th Eurographics Workshop on Rendering, 2007, pp. 147-157.Google ScholarGoogle Scholar
  62. D. Dickey, R. Moore, J. Tulip, Using radiance predicted by the P3-Approximation in a spherical geometry to predict tissue optical properties, in: P. Brouwer (Ed.), Clinical Lasers and Diagnostics, SPIE, vol. 4156, Bellingham, Washington, 2001, pp. 181-188.Google ScholarGoogle Scholar
  63. D. Dickey, R. Morre, D. Rayner, J. Tulip, Light dosimetry using P3 approximation, Phys. Med. Biol. 46 (2001) 2359-2370.Google ScholarGoogle Scholar
  64. B. Diffey, A mathematical model for ultraviolet optics in skin, Phys. Med. Biol. 28 (6) (1983) 647-657.Google ScholarGoogle Scholar
  65. H. Ding, J. Lu, W. Wooden, P. Kragel, X. Hu, Refractive indices of human skin tissues at eight wavelengths and estimated dispersion relationships between 300 and 1600 nm, Phys. Med. Biol. 51 (2006) 1479-1489.Google ScholarGoogle Scholar
  66. M. Doi, S. Tominaga, Spectral estimation of human skin color using the Kubelka-Munk theory, in: R. Eschbach, G.C.Marcu (Eds.), SPIE/IS&T Electronic Imaging, SPIE, vol. 5008, Bellingham, Washington, 2003, pp. 221-228.Google ScholarGoogle Scholar
  67. J. Dongarra, J. Bunch, C. Moler, G. Stewart, LINPACK Users' Guides, SIAM Publications, Philadelphia, PA, 1979.Google ScholarGoogle Scholar
  68. C. Donner, H. Jensen, Light diffusion in multi-layered translucent materials, ACM Trans. Graph. 24 (3) (2005) 1032-1039. Google ScholarGoogle Scholar
  69. C. Donner, H. Jensen, A spectral BSSRDF for shading human skin, in: Rendering Techniques 2006: 17th Eurographics Workshop on Rendering, June 2006, pp. 409-418.Google ScholarGoogle Scholar
  70. C. Donner, H. Jensen, Rendering translucent materials using photon diffusion, in: Rendering Techniques 2007: 18th Eurographics Workshop on Rendering, June 2007, pp. 234-251.Google ScholarGoogle Scholar
  71. C. Donner, T. Weyrich, E. d'Eon, R. Ramamoorthi, S. Rusinkiewicz, A layered, heterogeneous reflectance model for acquiring and rendering human skin, ACM Trans. Graph. 27 (5) (2008) 1-12. Google ScholarGoogle Scholar
  72. R. Doornbos, R. Lang, M. Aalders, F. Cross, 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 (1999) 967-981.Google ScholarGoogle Scholar
  73. J. Dorsey, H. Rushmeier, F. Sillion, Digital Modeling of Material Appearance, Morgan Kaufmann/Elsevier, Amsterdam, Netherlands, 2007. Google ScholarGoogle Scholar
  74. A. Dunn, R. Richards-Kortum, Three-dimensional computation of light scattering from cells, IEEE Sel. Top. Quantum Electron. 2 (1996) 898-905.Google ScholarGoogle Scholar
  75. P. Dutré, K. Bala, P. Bekaert, Advanced Global Illumination, second ed., AK Peters Ltd., Wellesley, Massachusetts, 2006. Google ScholarGoogle Scholar
  76. Z.B.E. Anderson, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J.D. Croz, A. Greenbaum, S. Hammarling, A. McKenney, D. Sorensen, LAPACK Users' Guides, third ed., SIAM Publications, Philadelphia, PA, 1999. Google ScholarGoogle Scholar
  77. A. S. E284-91C, Standard terminology of appearance, in: L. Wolff, S. Shafer, G. Healey (Eds.), Physics-Based Vision Principles and Practice: Radiometry, Jones and Bartlett Publishers, Boston, 1992, pp. 146-161. Google ScholarGoogle Scholar
  78. W. Eagan, T. Hilgeman, Optical Properties of Inhomogeneous Materials, Academic Press, New York, 1979.Google ScholarGoogle Scholar
  79. G. Eason, A. Veitch, R. Nisbet, F. Turnbul, The theory of backscattering of light by blood, J. Phys. 11 (1978) 1463-1479.Google ScholarGoogle Scholar
  80. E. Claridge, S. Preece, An inverse method for the recovery of tissue parameters from colour images, in: C. Taylor, J. Noble (Eds.), Information Processing in Medical Imaging (IPMI), Springer, Berlin, 2003, pp. 306-317, lNCS 2732.Google ScholarGoogle Scholar
  81. D. Eng, G. Baranoski, The application of photoacoustic spectral data to the modeling of leaf optical properties in the visible range, IEEE Trans. Geosci. Remote Sens. 45 (12) (2007) 2593-2599.Google ScholarGoogle Scholar
  82. M. Everett, E. Yeargers, R. Sayre, R. Olsen, Penetration of epidermis by ultraviolet rays, Photochem. Photobiol. 5 (1966) 533-542.Google ScholarGoogle Scholar
  83. T. Farell, M. Patterson, B. Wilson, A diffusion theory model of spatially resolved, steady-state diffuse reflectance for the noninvasive determination of tissue optical properties in vivo, Med. Phys. 19 (1992) 879-888.Google ScholarGoogle Scholar
  84. P. Farrant, Color in Nature: A Visual and Scientific Exploration, Blandford Press, London, 1999.Google ScholarGoogle Scholar
  85. Y. Feldman, A. Puzenko, P. Ishai, A. Caduff, I. Davidovich, F. Sakran, A. Agranat, The electromagnetic response of human skin in themillimetre and submillimetre wave range, Phys. Med. Biol. 54 (2009) 3341-3363.Google ScholarGoogle Scholar
  86. R. Feynman, QED: The Strange Theory of Light and Matter, Princeton University Press, Princeton, New Jersey, 1985.Google ScholarGoogle Scholar
  87. R. Feynman, R. Leighton, M. Sands, The Feynman Lectures on Physics, vol. I, Addison-Wesley Publishing Company, Reading, Massachusetts, 1964.Google ScholarGoogle Scholar
  88. R. Feynman, R. Leighton, M. Sands, The Feynman Lectures on Physics, vol. II, Addison-Wesley Publishing Company, Reading, Massachusetts, 1964.Google ScholarGoogle Scholar
  89. T. Fitzpatrick, Soleil et peau, J. Med. Esthet. 2 (1975) 33-34.Google ScholarGoogle Scholar
  90. T. Fitzpatrick, J. Bolognia, Human melanin pigmentation: role in pathogenesis of cutaneous melanoma, in: M.C.L. Zeise, T. Fitzpatrick (Eds.),Melanin: Its Role in Human Photoprotection, Valdenmar Publishing Company, Overland Park, Kansas, 1995, pp. 177-182.Google ScholarGoogle Scholar
  91. R. Flewelling, Noninvasive optical monitoring, in: J. Bronzino (Ed.), The Biomedical Engineering Handbook, IEEE Press, Boca Raton, Florida, 1995, pp. 1346-1356 (Chapter 88).Google ScholarGoogle Scholar
  92. S.T. Flock, M.S. Patterson, B.C. Wilson, D.R. Wyman, Monte Carlo modeling of light propagation in highly scattering tissues - I: Model predictions and comparison with diffusion theory, IEEE Trans. Biomed. Eng. 36 (12) (1989) 1162-1168.Google ScholarGoogle Scholar
  93. J. Foley, A. van Dam, S. Feiner, J. Hughes, Computer Graphics: Principles and Practice, second ed., Addison-Wesley Publishing Company, Reading, Massachusetts, 1990. Google ScholarGoogle Scholar
  94. S. Foo, A gonioreflectometer for measuring the bidirectional reflectance of material for use in illumination computation, Master's thesis, Cornell University, August 1997.Google ScholarGoogle Scholar
  95. A. Fournier, From local to global illumination and back, in: P.M. Hanrahan, W. Purgathofer (Eds.), Rendering Techniques '95 (Proceedings of the Sixth Eurographics Rendering Workshop), Springer-Verlag, Dublin, 1995, pp. 127-136.Google ScholarGoogle Scholar
  96. R. Fretterd, R. Longini, Diffusion dipole source, J. Opt. Soc. Am. 63 (3) (1973) 336-337.Google ScholarGoogle Scholar
  97. L. Fukshansky, Optical properties of plants, in: H. Smith (Ed.), Plants and the Daylight Spectrum, Academic Press, London, 1981, pp. 21-40.Google ScholarGoogle Scholar
  98. K. Furutso, Diffusion equation derived from space-time transport equation, J. Opt. Soc. Am. 70 (1980) 360.Google ScholarGoogle Scholar
  99. C. Gerald, P.Wheatley, Applied Numerical Analysis, sixth ed., Addison-Wesley, Reading, Massachusetts, 1997.Google ScholarGoogle Scholar
  100. A. Glassner, Principles ofDigital Image Synthesis, MorganKaufmann Publishers Inc., San Francisco, 1995. Google ScholarGoogle Scholar
  101. G. Golub, C.V. Loan, Matrix Computations, second ed., John Hopkins University Press, Baltimore, 1989.Google ScholarGoogle Scholar
  102. Y. Govaerts, S. Jacquemoud, M. Verstraete, S. Ustin, Three-dimensional radiation transfer modeling in a dycotyledon leaf, Appl. Opt. 35 (33) (1996) 6585-6598.Google ScholarGoogle Scholar
  103. K. Govidan, J. Smith, L. Knowles, A. Harvey, P. Townsend, J. Kenealy, Assessment of nurse-led screening of pigmented lesions using SIAscope, J. Plast. Reconstr. Aesthet. Surg. 60 (2007) 639-645.Google ScholarGoogle Scholar
  104. L. Grant, C. Daughtry, V. Vanderbilt, Polarized and specular reflectance variance with leaf surface features, Physiol. Plant. 88 (1) (1993) 1-9.Google ScholarGoogle Scholar
  105. R. Groenhuis, H. Fewerda, J. Bosch, Scattering and absorption of turbid materials determined from reflection measurements. 1: Theory, Appl. Opt. 22 (16) (1983) 2456-2462.Google ScholarGoogle Scholar
  106. J. Guillod, P. Schmid, Dermoscopy, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 60-73.Google ScholarGoogle Scholar
  107. R. Hall, Comparing spectral color computation methods, IEEE Comput. Graph. Appl. 19 (4) (1999) 36-45. Google ScholarGoogle Scholar
  108. J. Hammerley, D. Handscomb, Monte Carlo Methods, Wiley, New York, 1964.Google ScholarGoogle Scholar
  109. M. Haniffa, J. Lloyd, C. Lawrence, The use of a spectrophotometric intracutaneous analysis device in the real-time diagnosis of melanoma in the setting of a melanoma screening clinic, Br. J. Dermatol. 156 (2007) 1350-1352.Google ScholarGoogle Scholar
  110. P. Hanrahan, W. Krueger, Reflection from layered surfaces due to subsurface scattering, in: SIGGRAPH, Annual Conference Series, 1993, pp. 165-174. Google ScholarGoogle Scholar
  111. E. Hecht, A. Zajac, Optics, Addison-Wesley, Reading, Massachusetts, 1974.Google ScholarGoogle Scholar
  112. P. Heckbert, Writing a ray tracer, in: A. Glassner (Ed.), An Introduction to Ray Tracing, Academic Press, San Diego, CA, 1989. Google ScholarGoogle Scholar
  113. L. Henyey, J. Greenstein, Diffuse radiation in the galaxy, Astrophys. J. 93 (1941) 70-83.Google ScholarGoogle Scholar
  114. A. Hielscher, R. Alcouffe, R. Barbour, Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous tissues, Phys. Med. Biol. 43 (1998) 1285-1302.Google ScholarGoogle Scholar
  115. R. Hirko, R. Fretterd, R. Longini, Application of the diffusion dipole to modelling the optical characteristics of blood, Med. Biol. Eng. 3 (1975) 192-195.Google ScholarGoogle Scholar
  116. C. Hourdakis, A. Perris, A Monte Carlo estimation of tissue optical properties for use in laser dosimetry, Phys. Med. Biol. 40 (1995) 351-364.Google ScholarGoogle Scholar
  117. E. Hudson, M. Stringer, F. Cairnduff, D. Ash, M. Smith, The optical properties of skin tumors measured during superficial photodynamic therapy, Lasers Med. Sci. 9 (1994) 99-103.Google ScholarGoogle Scholar
  118. R. Hunt, Measuring Colour, second ed., Ellis Horwood Limited, London, 1991.Google ScholarGoogle Scholar
  119. R. Hunter, R. Harold, The Measurement of Appearance, second ed., John Wiley & Sons, New York, 1987.Google ScholarGoogle Scholar
  120. F. Imai, Color reproduction of facial pattern and endoscopic image based on color appearance models, Ph.D. thesis, Graduate School of Science and Technology, Chiba University, Japan, December 1996.Google ScholarGoogle Scholar
  121. F. Imai, N. Tsumura, H. Haneishi, Y. Miyake, Principal component analysis of skin color and its application to colorimetric reproduction on CRT display and hardcopy, J. Imaging Sci. Technol. 40 (1996) 422-430.Google ScholarGoogle Scholar
  122. D. Immel, M. Cohen, D. Greenberg, A radiosity method for non-diffuse environments, Comput. Graph. (SIGGRAPH Proceedings) 20 (4) (1986) 133-142. Google ScholarGoogle Scholar
  123. A. Ishimaru, Wave Propagation and Scattering in Random Media, vol. 1, second ed., IEEE Press, New York, 1978.Google ScholarGoogle Scholar
  124. S. Jacquemoud, S. Ustin, Leaf optical properties: a state of the art, in: 8th International Symposium of Physical Measurements & Signatures in Remote Sensing, CNES, Aussois, France, 2001, pp. 223-332.Google ScholarGoogle Scholar
  125. S. Jacquemoud, S. Ustin, J. Verdebout, G. Schmuck, G. Andreoli, B. Hosgood, Estimating leaf biochemistry using prospect leaf optical properties model, Rem. Sens. Environ. 56 (1996) 194-202.Google ScholarGoogle Scholar
  126. S. Jacques, Origins of tissue optical properties in the uva visible and nir regions, OSA TOPS on Advances in Optical Imaging and Photon Migration 2 (1996) 364-369.Google ScholarGoogle Scholar
  127. S. Jacques, Optical absorption of melanin, Tech. Rep. Oregon Medical Laser Center, Portland, Oregon, 2001.Google ScholarGoogle Scholar
  128. S. Jacques, C. Alter, S. Prahl, Angular dependence of He-Ne laser light scattering by human dermis, Laser. Life Sci. 1 (4) (1987) 309-333.Google ScholarGoogle Scholar
  129. S. Jacques, D. McAuliffe, The melanosome: threshold temperature for explosive vaporization and internal absorption coefficient during pulsed laser irradiation, Photochem. Photobiol. 53 (6) (1991) 769-775.Google ScholarGoogle Scholar
  130. H. Jensen, J. Buhler, A rapid hierarchical rendering technique for translucent materials, in: SIGGRAPH, Annual Conference Series, July 2002, pp. 576-581. Google ScholarGoogle Scholar
  131. H. Jensen, J. Buhler, Digital face cloning, in: M.C.L. Zeise, T. Fitzpatrick (Eds.), SIGGRAPH 2003 Technical Sketches, Valdenmar Publishing Company, Overland Park, Kansas, 2003, pp. 11-22, 2223b.Google ScholarGoogle Scholar
  132. H. Jensen, S. Marschner, M. Levoy, P. Hanrahan, A practical model for subsurface light transport, in: SIGGRAPH, Annual Conference Series, August 2001, pp. 511-518. Google ScholarGoogle Scholar
  133. K. Jimbow, K. Reszka, S. Schmitz, T. Salopek, P. Thomas, Distribution of ue- and pheomelanins in human skin and melanocytic tumors, and their photoprotective vs phototoxic properties, in: M.C.L. Zeise, T. Fitzpatrick (Eds.), Melanin: Its Role in Human Photoprotection, Valdenmar Publishing Company, Overland Park, Kansas, 1995, pp. 165-175.Google ScholarGoogle Scholar
  134. Z. Jin, K. Stammes, Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system, Appl. Opt. 33 (3) (1994) 431-442.Google ScholarGoogle Scholar
  135. D. Judd, G. Wyszecki, Color in Business, Science and Industry, third ed., John Wiley & Sons, New York, 1975.Google ScholarGoogle Scholar
  136. J. Kajiya, The rendering equation, Comput. Graph. (SIGGRAPH Proceedings) 20 (4) (1986) 143-150. Google ScholarGoogle Scholar
  137. M. Kalos, P. Whitlock, Monte Carlo Methods, vol. I: Basics, John Wiley & Sons, New York, 1986. Google ScholarGoogle Scholar
  138. G. Kattawar, A three-parameter analytic phase function for multiple scattering calculations, J. Quant. Spectrosc. Radiat. Transf. 15 (1975) 839-849.Google ScholarGoogle Scholar
  139. G. Kelfkens, J. van der Leun, Skin temperature changes after irradiation with UVB or UVC: implications for the mechanism underlying ultraviolet erythema, Phys. Med. Biol. 34 (5) (1989) 599-608.Google ScholarGoogle Scholar
  140. B. Kimmel, G. Baranoski, A novel approach for simulating light interaction with particulate materials: application to the modeling of sand spectral properties, Opt. Express 15 (15) (2007) 9755-9777.Google ScholarGoogle Scholar
  141. B. Kimmel, G. Baranoski, A compact framework to efficiently represent the reflectance of sand samples, IEEE Trans. Geosci. Remote Sens. 47 (11) (2009) 3625-3629.Google ScholarGoogle Scholar
  142. M. Kobayashi, Y. Ito, N. Sakauchi, I. Oda, I. Konishi, Y. Tsunazawa, Analysis of nonlinear relation for skin hemoglobin, Opt. Express 9 (3) (2001) 802-812.Google ScholarGoogle Scholar
  143. C. Kolb, Rayshade User's Guide and Reference Manual, Princeton University, Princeton, New Jersey, January 1992.Google ScholarGoogle Scholar
  144. N. Kollias, The spectroscopy of human melanin pigmentation, in: M.C.L. Zeise, T. Fitzpatrick (Eds.), Melanin: Its Role in Human Photoprotection, Valdenmar Publishing Company, Overland Park, Kansas, 1995, pp. 31-38.Google ScholarGoogle Scholar
  145. K. Kölmel, B. Sennhenn, K. Giese, Investigation of skin by ultraviolet remittance spectroscopy, Br. J. Dermatol. 122 (1990) 209-216.Google ScholarGoogle Scholar
  146. A. Krishnaswamy, BioSpec: a biophysically-based spectral model of light interaction with human skin, Master's thesis, School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada, 2005.Google ScholarGoogle Scholar
  147. A. Krishnaswamy, G. Baranoski, A biophysically-based spectral model of light interaction with human skin, Comput. Graph. Forum (EUROGRAPHICS Proceedings) 23 (3) (2004) 331-340.Google ScholarGoogle Scholar
  148. A. Krishnaswamy, G. Baranoski, Combining a shared-memory high performance computer and a heterogeneous cluster for the simulation of light interaction with human skin, in: P.N.J. Gaudiot, M.L. Pilla, S. Song (Eds.), 16th Symposium on Computer Architecture and High Performance Computing, IEEE Computer Society, Washington, 2004, pp. 166-171. Google ScholarGoogle Scholar
  149. A. Krishnaswamy, G. Baranoski, J.G. Rokne, Improving the reliability/cost ratio of goniophotometric measurements, J. Graph. Tool. 9 (3) (2004) 31-51.Google ScholarGoogle Scholar
  150. P. Kubelka, F. Munk, Ein beitrag zur optik der farbanstriche, Zurich Tech. Physik 12 (1931) 543.Google ScholarGoogle Scholar
  151. E. Lafortune, Mathematical models and Monte Carlo algorithms for physically based rendering, Ph.D. thesis, Department of Computer Science, Faculty of Engineering, Katholieke Universiteit Leuven, February 1996.Google ScholarGoogle Scholar
  152. R. Lee, M. Mathews-Roth, M. Pathak, J. Parrish, The detection of carotenoid pigments in human skin, J. Invest. Dermatol. 64 (1975) 175-177.Google ScholarGoogle Scholar
  153. J. Lenoble, Atmospheric Radiative Transfer, A. Deepak Publishing, Hampton, Virginia, 1993.Google ScholarGoogle Scholar
  154. D. Leroy, Skin photoprotection function, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 471-482.Google ScholarGoogle Scholar
  155. J. Lévêque, B. Querleux, SkinChip, a new tool for investigating the skin surface in vivo , Skin Res. Technol. 9 (2003) 343-347.Google ScholarGoogle Scholar
  156. G. Lewis, The conservation of photons, Nature 2981 (118) (1926) 874-875.Google ScholarGoogle Scholar
  157. S. Li, Biologic biomaterials: tissue-derived biomaterials (collagen), in: J. Park, J. Bronzano (Eds.), Biomaterials Principles and Applications, CRC Press, Boca Raton, Florida, 2003, pp. 117-139.Google ScholarGoogle Scholar
  158. C. Lilley, F. Lin, W. Hewitt, T. Howard, Colour in Computer Graphics, ITTI Computer graphics and Visualisation, Manchester Computing Centre, The University of Manchester, Manchester, England, 1993.Google ScholarGoogle Scholar
  159. R. Longhurst, Geometrical and Physical Optics, third ed., Longman Group Limited, London, 1973.Google ScholarGoogle Scholar
  160. A. Lovell, J. Hebden, J. Goldstone, M. Cope, Determination of the transport scattering coefficient of red blood cells, in: B. Chance, R.R. Alfonso, B.J. Tromberg (Eds.), Optical Tomography and Spectroscopy of Tissue III, SPIE, vol. 3597, Bellingham, Washington, 1999, pp. 121-128.Google ScholarGoogle Scholar
  161. G. Lucassen, P. Caspers, G. Puppels, Infrared and Raman spectroscopy of human skin in vivo , in: V. Tuchin (Ed.), Handbook of Optical Biomedical Diagnostics, SPIE Press, Bellingham, Washington, 2002, pp. 787-824.Google ScholarGoogle Scholar
  162. Q. Ma, A. Nishimura, P. Phu, Y. Kuga, Transmission, reflection and depolarization of an optical wave for a single leaf, IEEE Trans. Geosci. Remote Sens. 28 (5) (1990) 865-872.Google ScholarGoogle Scholar
  163. D. MacAdam, Color Measurements Theme and Variations, Springer Verlag, Berlin, 1981.Google ScholarGoogle Scholar
  164. S. Marschner, S.H. Westin, E. Lafortune, K. Torrance, D. Greenberg, Image-based BRDF measurement, Tech. Rep. PCG-99-1, Program of Computer Graphics, Cornell University, New York, January 1999.Google ScholarGoogle Scholar
  165. S. Marschner, S.H. Westin, E. Lafortune, K. Torrance, D. Greenberg, Image-based BRDF measurement including human skin, in: D. Lischinski, G.W. Larson (Eds.), Rendering Techniques 1999 (Proceedings of the 10th Eurographics Rendering Workshop), Springer-Verlag, Granada, 1999, pp. 119-130.Google ScholarGoogle Scholar
  166. S. Marschner, S.H. Westin, E. Lafortune, K. Torrance, D. Greenberg, Reflectance measurements of human skin, Tech. Rep. PCG-99-2, Program of Computer Graphics, Cornell University, New York, January 1999.Google ScholarGoogle Scholar
  167. P. Matts, S. Cotton, Spectrophotometric intracutaneous analysis (SIAscopy), in: A. Barel, M. Paye, H. Maibach (Eds.), Handbook of Cosmetic Science and Technology, Informa Health Care, New York, 2009, pp. 275-281.Google ScholarGoogle Scholar
  168. E. McCartney, Optics of the Atmosphere: Scattering by Molecules and Particles, John Wiley & Sons Inc., New York, 1976.Google ScholarGoogle Scholar
  169. R. McCluney, Introduction to Radiometry and Photometry, Artech House Inc., Boston, 1994.Google ScholarGoogle Scholar
  170. I. Meglinsky, S. Matcher, Modelling the sampling volume for skin blood oxygenation, Med. Biol. Eng. Comput. 39 (2001) 44-49.Google ScholarGoogle Scholar
  171. I. Meglinsky, S. Matcher, Quantitative assessment of skinlayers absorption and skin reflectance spectra simulation in the visible and near-infrared spectral regions, Physiol. Meas. 23 (2002) 741-753.Google ScholarGoogle Scholar
  172. I. Meglinsky, S. Matcher, Computer simulation of the skin reflectance spectra, Comput. Methods Programs Biomed. 70 (2003) 179-186.Google ScholarGoogle Scholar
  173. D. Menzel, Selected Papers on the Transfer of Radiation, Dover Publications, New York, 1966.Google ScholarGoogle Scholar
  174. N. Metropolis, S. Ulam, The Monte Carlo method, J. Am. Stat. Assoc. 44 (247) (1949) 335-341.Google ScholarGoogle Scholar
  175. J. Meyer-Arendt, Introduction to Modern and Classical Optics, Prentice-Hall, New Jersey, 1984.Google ScholarGoogle Scholar
  176. M.F. Yang, V. Tuchin, A. Yaroslavsky, Principles of light-skin interactions, in: E. Baron (Ed.), Light-Based Therapies for Skin of Color, Springer-Verlag, London, 2009, pp. 1-44.Google ScholarGoogle Scholar
  177. M. Moncrieff, S. Cotton, E. Claridge, P. Hall, Spectrophotometric intracutaneous analysis: a new technique for imaging pigmented skin lesions, Br. J. Dermatol. 146 (2002) 448-457.Google ScholarGoogle Scholar
  178. J. Mourant, J. Freyer, A. Hielscher, A. Eick, D. Shen, T. Johnson, Mechanisms of light scattering from biological cells relevant to noninvasive optical-tissue diagnostics, Appl. Opt. 37 (16) (1998) 3586-3593.Google ScholarGoogle Scholar
  179. H. Nakai, Y. Manabe, S. Inokuchi, Simulation analysis of spectral distributions of human skin, in: 14th International Conference on Pattern Recognition, 1998, pp. 1065-1067. Google ScholarGoogle Scholar
  180. C. Ng, L. Li, A multi-layered reflection model of natural human skin, in: Computer Graphics International 2001, Hong Kong, July 2001, pp. 249-256. Google ScholarGoogle Scholar
  181. F. Nicodemus, J. Richmond, J. Hsia, I. Ginsberg, T. Limperis, Geometrical considerations and nomenclature for reflectance, in: L. Wolff, S. Shafer, G. Healey (Eds.), Physics-Based Vision Principles and Practice: Radiometry, Jones and Bartlett Publishers, Boston, 1992, pp. 94-145. Google ScholarGoogle Scholar
  182. K. Nielsen, L. Zhao, J. Stamnes, K. Stamnes, J. Moan, Reflectance spectra of pigmented and nonpigmented skin in the UV spectral region, Photochem. Photobiol. 80 (2004) 450-455.Google ScholarGoogle Scholar
  183. K. Nielsen, L. Zhao, J. Stamnes, K. Stamnes, J. Moan, The importance of the depth distribution of melanin in skin for DNA protection and other photobiological processes, J. Photochem. Photobiol. B, Biol. 82 (2006) 194-198.Google ScholarGoogle Scholar
  184. S. Nilsson, Skin temperature over an artificial heat source implanted in man, Phys. Med. Biol. 20 (3) (1975) 366-383.Google ScholarGoogle Scholar
  185. M. Nischik, C. Forster, Analysis of skin erythema using true-color images, IEEE Trans. Med. Imaging 16 (6) (1997) 711-716.Google ScholarGoogle Scholar
  186. I. Nishidate, Y. Aizu, H. Mishina, Estimation of melanin and hemoglobin in skin tissue using multiple regression analysis aided by Monte Carlo simulation, J. Biomed. Opt. 9 (4) (2004) 700-710.Google ScholarGoogle Scholar
  187. A. Nunez, M. Mendehall, Detection of human skin in near infrared hyperspectral imagery, in: International Geoscience and Remote Sensing Symposium - IGARSS '08, 2008, pp. II-621-624.Google ScholarGoogle Scholar
  188. N. Ohta, A. Robertson, Colorimetry Fundamentals and Applications, John Wiley & Sons, New York, 1982.Google ScholarGoogle Scholar
  189. S. Orchard, Reflection and transmission of light by diffusing suspensions, J. Opt. Soc. Am. 59 (1969) 1584-1597.Google ScholarGoogle Scholar
  190. R. Overhem, D. Wagner, Light and Color, John Wiley & Sons, New York, 1982.Google ScholarGoogle Scholar
  191. K. Palmer, D. Williams, Optical properties of water in the near infrared, J. Opt. Soc. Am. 64 (8) (1974) 1107-1110.Google ScholarGoogle Scholar
  192. D. Parsad, K. Wakamatsu, A. Kanwar, B. Kumar, S. Ito, Eumelanin and phaeomelanin contents of depigmented and repigmented skin in vitiligo patients, Br. J. Dermatol. 149 (2003) 624-626.Google ScholarGoogle Scholar
  193. M. Pathak, Functions of melanin and protection by melanin, in: M.C.L. Zeise, T. Fitzpatrick (Eds.), Melanin: Its Role in Human Photoprotection, Valdenmar Publishing Company, Overland Park, Kansas, 1995, pp. 125-134.Google ScholarGoogle Scholar
  194. A. Pearce, K. Sung, Maya software rendering: a technical overview, Tech. Rep. AP-M-SWR-01, Alias--Wavefront, Toronto, Canada, 1998.Google ScholarGoogle Scholar
  195. A. Petitjean, P. Humbert, S. Mac-Mary, J. Sainthillier, Skin radiance measurement, in: A. Barel, M. Paye, H. Maibach (Eds.), Handbook of Cosmetic Science and Technology, Informa Health Care, New York, 2009, pp. 407-414.Google ScholarGoogle Scholar
  196. E. Pickwell, B. Cole, A. Fitzgerald, M. Pepper, V. Wallace, In vivo study of human skin using pulsed terahertz radiation, Phys. Med. Biol. 49 (2004) 1595-1607.Google ScholarGoogle Scholar
  197. R. Pope, E. Fry, Absorption spectrum (380-700nm) of pure water. II. integrating cavity measurements, Appl. Opt. 36 (33) (1997) 8710-8723.Google ScholarGoogle Scholar
  198. A. Popov, A. Priezzhev, Laser pulse in turbid media: Monte Carlo simulation and comparison with experiment, in: V. Tuchin (Ed.), Saratov Fall Meeting 2002: Optical Technologies in Biophysics and Medicine IV, SPIE vol. 5068, Bellingham, Washington, 2003, pp. 299-308.Google ScholarGoogle Scholar
  199. A. Popov, A. Priezzhev, J. Lademann, R. Myllylä, TiO 2 nanoparticles as an effective UV-B radiation skin-protective compound in sunscreens, J. Phys. D Appl. Phys. 38 (2005) 2564-2570.Google ScholarGoogle Scholar
  200. P. Poulin, A. Fournier, A model for anisotropic reflection, Comput. Graph. (SIGGRAPH Proceedings) 24 (4) (1990) 273-282. Google ScholarGoogle Scholar
  201. S. Prahl, Light transport in tissue, Ph.D. thesis, The University of Texas at Austin, Texas, December 1988.Google ScholarGoogle Scholar
  202. S. Prahl, Optical absorption of hemoglobin, Tech. Rep. Oregon Medical Laser Center, Portland, Oregon, 1999.Google ScholarGoogle Scholar
  203. S. Prahl, PhotochemCAD spectra by category, Tech. Rep. Oregon Medical Laser Center, Portland, Oregon, 2001.Google ScholarGoogle Scholar
  204. S. Prahl, M. Keijzer, S. Jacques, A. Welch, A Monte Carlo model of light propagation in tissue, SPIE Institute Series IS 5 (1989) 102-111.Google ScholarGoogle Scholar
  205. S. Prahl, M. van Gemert, A. Welch, Determining the optical properties of turbid media using the adding-doubling method, Appl. Opt. 32 (4) (1993) 559-568.Google ScholarGoogle Scholar
  206. A. Pravdin, S. Chernova, T. Papazoglou, V. Tuchin, L. Wang, Tissue phantoms, in: V. Tuchin (Ed.), Handbook of Optical Biomedical Diagnostics, SPIE Press, Bellingham, Washington, 2002, pp. 311-352.Google ScholarGoogle Scholar
  207. R. Preisendorfer, Radiative Transfer on Discrete Spaces, Pergamon, New York, 1965.Google ScholarGoogle Scholar
  208. E. Questel, Y. Gall, Photobiological assessment of sunscreens, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 492-505.Google ScholarGoogle Scholar
  209. L. Reynolds, C. Johnson, A. Ishimaru, Diffuse reflectance from a finite blood medium: applications to the modeling of fiber optics catheters, Appl. Opt. 15 (9) (1976) 2059-2067.Google ScholarGoogle Scholar
  210. J. Rodriguez, I. Yaroslavsky, A. Yaroslavsky, H. Battarbee, V. Tuchin, Time-resolved imaging in diffusive media, in: V. Tuchin (Ed.), Handbook of Optical Biomedical Diagnostics, SPIE Press, Bellingham, Washington, 2002, pp. 357-404.Google ScholarGoogle Scholar
  211. B. Rolinsky, H. Küster, B. Ugele, R. Gruber, K. Horn, Total bilirubin measurement by photometry on a blood gas analyser: potential for use in neonatal testing at point of care, Clin. Chem. 47 (10) (2001) 1845-1847.Google ScholarGoogle Scholar
  212. A. Rosencwaig, Photoacoustics and Photoacoustics Spectroscopy, Wiley, New York, 1980.Google ScholarGoogle Scholar
  213. W. Ruhle, A. Wild, The intensification of absorbance changes in leaves by light-dispersion: differences between high-light and low-light leaves, Planta 146 (1979) 551-557.Google ScholarGoogle Scholar
  214. I. Saidi, Transcutaneous optical measurement of hyperbilirubinemia in neonates, Ph.D. thesis, Rice University, Houston, Texas, 1994.Google ScholarGoogle Scholar
  215. H. Samet, The quadtree and related hierarchical data structures, ACM Computing Surveys 16 (2) (1984) 187-260. Google ScholarGoogle Scholar
  216. D. Sardar, L. Levy, Optical properties of whole blood, Lasers Med. Sci. 13 (1998) 106-111.Google ScholarGoogle Scholar
  217. J. Schmitt, G. Zhou, E. Walker, R. Wall, Multilayer model of photon diffusion in skin, J. Opt. Soc. Am. 7 (11) (1990) 2141-2153.Google ScholarGoogle Scholar
  218. A. Schuster, Radiation through foggy atmosphere, Astrophys. J. 21 (1) (1905) 1-22.Google ScholarGoogle Scholar
  219. F. Sears, M. Zemansky, H. Young, College Physics Part I Mechanics, Heat and Sound, fourth ed., Addison-Wesley Publishing Company, Reading, Massachusetts, 1974.Google ScholarGoogle Scholar
  220. H. Seeliger, The photometry of diffusely reflecting surfaces, Koniglich Bayerische Akademie der Wissenschaften 18 (1888) 201-248 (in German).Google ScholarGoogle Scholar
  221. J. Shawe-Taylor, N. Cristianini, Kernel Methods for Pattern Analysis, University Press, Cambridge, 2004. Google ScholarGoogle Scholar
  222. T. Shi, C. DiMarzio, Multispectral method for skin imaging: development and validation, Appl. Opt. 46 (36) (2007) 8619-8626.Google ScholarGoogle Scholar
  223. M. Shimada, Y. Yamada, M. Itoh, M. Takahashi, T. Yatagai, Explanation of human skin color by multiple linear regression analysis based on the modified Lambert-Beer law, Opt. Rev. 7 (3) (2000) 348-352.Google ScholarGoogle Scholar
  224. M. Shimada, Y. Yamada, M. Itoh, T. Yatagai, Melanin and blood concentration in human skin studied by multiple regression analysis: assessment by Monte Carlo simulation, Phys. Med. Biol. 46 (2001) 2397-2406.Google ScholarGoogle Scholar
  225. P. Shirley, Physically based lighting for computer graphics, Ph.D. thesis, Dept. of Computer Science, University of Illinois, November 1990. Google ScholarGoogle Scholar
  226. P. Shirley, A ray tracing method for illumination calculation in diffuse-specular scenes, in: Graphics Interface, Canadian Information Processing Society, Toronto, 1990, pp. 205-212. Google ScholarGoogle Scholar
  227. P. Shirley, Nonuniform random points via warping, in: D. Kirk (Ed.), Graphics Gems III, Academic Press, Boston, 1992, pp. 80-83. Google ScholarGoogle Scholar
  228. A. Shiryaev, Probability, second ed., Springer-Verlag, New York, 1996.Google ScholarGoogle Scholar
  229. C. Simpson, M. Kohl, M. Essenpreis, M. Cope, Near-infrared optical properties of ex-vivo human skin and subcutaneous tissues measured using the Monte Carlo inversion technique, Phys. Med. Biol. 43 (1998) 2465-2478.Google ScholarGoogle Scholar
  230. Y. Sinichkin, N. Kolias, G. Zonios, S. Utz, V. Tuchin, L. Wang, Reflectance and fluorescence spectroscopy of human skin in vivo , in: V. Tuchin (Ed.), Handbook of Optical Biomedical Diagnostics, SPIE Press, Bellingham, Washington, 2002, pp. 725-786.Google ScholarGoogle Scholar
  231. H. Smith, D. Morgan, The spectral characteristics of the visible radiation incident upon the surface of the Earth, in: H. Smith (Ed.), Plants and the Daylight Spectrum, Academic Press, London, 1981, pp. 3-20.Google ScholarGoogle Scholar
  232. J. Stam, An illumination model for a skin layer bounded by rough surfaces, in: P.M. Hanrahan, W. Purgathofer (Eds.), Rendering Techniques 2001 (Proceedings of the 12th Eurographics Rendering Workshop), Springer-Verlag, London, 2001, pp. 39-52. Google ScholarGoogle Scholar
  233. K. Stamnes, P. Conklin, A new multi-layer discrete ordinate approach to radiative transfer in vertically inhomogeneous atmospheres, J. Quantum Spectrosc. Radiat. Transf. 31 (3) (1984) 273-282.Google ScholarGoogle Scholar
  234. K. Stamnes, S. Tsay, W. Wiscombe, K. Jayaweera, Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media, Appl. Opt. 27 (12) (1988) 2502-2509.Google ScholarGoogle Scholar
  235. K. Stanzl, L. Zastrow, Melanin: an effective photoprotectant against UV-A rays, in: M.C.L. Zeise, T. Fitzpatrick (Eds.), Melanin: Its Role in Human Photo-protection, Valdenmar Publishing Company, Overland Park, Kansas, 1995, pp. 59-63.Google ScholarGoogle Scholar
  236. W. Star, Comparing the P3-Approximation with diffusion theory and with Monte Carlo calculations of light propagation in a slab geometry, in: SPIE Institute Series 5: Dosimetry of Laser Radiation in Medicine and Biology, SPIE-The International Society for Optical Engineering, Bellingham, Washington, 1989, pp. 146-154.Google ScholarGoogle Scholar
  237. W. Star, Light dosimetry in vivo , Phys. Med. Biol. 42 (1997) 763-787.Google ScholarGoogle Scholar
  238. J. Steinke, A. Shepherd, Diffusion model of the optical absorbance of whole blood, J. Opt. Soc. Am. 5 (6) (1988) 813-822.Google ScholarGoogle Scholar
  239. W. Sthal, H. Sies, Carotenoids in systemic protecion against sunburns, in: N. Krisnky, S. Mayne, H. Sies (Eds.), Carotenoids in Health and Disease, CRC Press, Boca Raton, Florida, 2004, pp. 491-502.Google ScholarGoogle Scholar
  240. M. Stone, A Field Guide to Digital Color, AK Peters, Natick, MA, 2003. Google ScholarGoogle Scholar
  241. M. Störring, Computer vision and human skin color, Ph.D. thesis, Faculty of Engineering and Science, Aalborg University, Denmark, 2004.Google ScholarGoogle Scholar
  242. J. Strutt, On the transmission of light through an atmosphere containing many small particles in suspension, and on the origin of the blue of the sky, Philos. Mag. 47 (1899) 375-384.Google ScholarGoogle Scholar
  243. Q. Sun, M. Fairchild, Statistical characterization of spectral reflectances in spectral imaging of human portraiture, in: Ninth Color Imaging Conference: Color Science and Engineering, 2001, pp. 73-79.Google ScholarGoogle Scholar
  244. P. Talreja, G. Kasting, N. Kleene, W. Pickens, T. Wang, Visualization of the lipid barrier and measurement of lipid pathlength in human stratum corneum, AAPS PharmSCi 3 (2) (2001) 1-9.Google ScholarGoogle Scholar
  245. H. Tehrani, J. Walls, S. Cotton, E. Sassoon, P. Hall, Spectrophotometric intracutaneous analysis in the diagnosis of basal cell carcinoma: a pilot study, Int. J. Dermatol. 46 (2007) 371-375.Google ScholarGoogle Scholar
  246. J. Tessendorf, D. Wilson, Impact of multiple scattering on simulated infrared cloud scene images, in: P. Christensen, D. Cohen-Or (Eds.), SPIE. Characterization and Propagation of Sources and Backgrounds, Bellingham, Washington, 1994, pp. 75-84, 2223b.Google ScholarGoogle Scholar
  247. N. Thalmann, P. Kalra, J. Lévêque, R. Bazin, D. Batisse, B. Querleux, A computational skin model: fold and wrinkle formation, IEEE Trans. Inf. Technol. Biomed. 6 (4) (2002) 317-323. Google ScholarGoogle Scholar
  248. A. Thody, E. Higgins, K. Wakamatsu, S. Ito, S. Burchill, J. Marks, Pheomelanin as well as eumelanin is present in human dermis, J. Invest. Dermatology 97 (1991) 340-344.Google ScholarGoogle Scholar
  249. K. Torrance, E. Sparrow, Theory for off-specular reflection from roughened surfaces, J. Opt. Soc. Am. 57 (9) (1967) 1105-1114.Google ScholarGoogle Scholar
  250. W. Tropf, M. Thomas, T. Harris, Properties of crystals and glasses, in: M. Bass, E. Stryland, D. Williams, W. Wolfe (Eds.), Handbook of Optics (Volume II: Devices, Measurements, and Properties), Optical Society of America, McGraw-Hill Inc., New York, 1995, pp. 33.1-33.101 (Chapter 33).Google ScholarGoogle Scholar
  251. T. Trowbridge, K. Reitz, Average irregularity representation of a rough surface for ray reflection, J. Opt. Soc. Am. 65 (5) (1975) 531-536.Google ScholarGoogle Scholar
  252. T. Troy, S.N. Thennadil, Optical properties of human skin in NIR wavelength range of 1000-2000 nm, J. Biomed. Opt. 6 (2) (2001) 167-176.Google ScholarGoogle Scholar
  253. N. Tsumura, M. Kawabuchi, H. Haneishi, Y. Miyabe, Mapping pigmentation in human skin by multi- visible-spectral imaging by inverse optical scattering technique, in: IS&T/SID Eighth Color Imaging Conference, 2000, pp. 81-84.Google ScholarGoogle Scholar
  254. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis, The International Society for Optical Engineering, Bellingham, Washington, 2000.Google ScholarGoogle Scholar
  255. V. Tuchin, Optical clearing of tissues and blood using the immersion method, J. Phys. D Appl. Phys. 38 (2005) 2497-2518.Google ScholarGoogle Scholar
  256. V. Tuchin, S. Utz, I. Yaroslavsky, Tissue optics, light distribution, and spectroscopy, Opt. Eng. 33 (1994) 3178-3188.Google ScholarGoogle Scholar
  257. A. Uesugi, W. Irvine, Y. Kawata, Formation of absorption spectra by diffuse reflection from a semi-infinite planetary atmosphere, J. Quant. Spectrosc. Radiat. Transf. 11 (1971) 797-808.Google ScholarGoogle Scholar
  258. P. Urso, M. Lualdi, A. Colombo, M. Carrara, S. Tomatis, R. Marchesini, Skin and cutaneous melanocytic lesion simulation in biomedical optics with multilayered phantoms, Phys. Med. Biol. 52 (2007) N229-N239.Google ScholarGoogle Scholar
  259. J. Uspensky, Introduction to Mathematical Probability, McGraw-Hill, New York, 1937.Google ScholarGoogle Scholar
  260. H. van de Hulst, Multiple Light Scattering: Tables, Formulas, and Applications, vol. 1, Academic Press, New York, 1980.Google ScholarGoogle Scholar
  261. H. van de Hulst, Multiple Light Scattering: Tables, Formulas, and Applications, vol. 2, Academic Press, New York, 1980.Google ScholarGoogle Scholar
  262. H. van de Hulst, Light Scattering by Small Particles, second ed., Dover Publications Inc., New York, 1981.Google ScholarGoogle Scholar
  263. J. van der Leun, Ultraviolet erythema, Ph.D. thesis, University of Utrecht, The Netherlands, 1966.Google ScholarGoogle Scholar
  264. M. van Gemert, S. Jacques, H. Sterenborg, W. Star, Skin optics, IEEE Trans. Biomed. Eng. 36 (12) (1989) 1146-1154.Google ScholarGoogle Scholar
  265. M. van Gemert, W. Star, Relations between the Kubelka-Munk and the transport equation models for anisotropic scattering, Laser Life Sci. 1 (4) (1987) 287-298.Google ScholarGoogle Scholar
  266. M. van Gemert, A. Welch, W. Star, M. Motamedi, W. Cheong, Tissue optics for a slabgeometry in diffusion approximation, Lasers Med. Sci. 2 (1987) 295-302.Google ScholarGoogle Scholar
  267. B. van Ginneken, M. Stavridi, J. Koenderink, Diffuse and specular reflectance from rough surfaces, Appl. Opt. 37 (1) (1998) 130-139.Google ScholarGoogle Scholar
  268. E. Veach, Robust monte carlo methods for light transport simulation, Ph.D. thesis, Stanford University, December 1997. Google ScholarGoogle Scholar
  269. J. Viator, J. Komadina, L. Svaasand, G. Aguilar, B. Choi, J. Nelson, A comparative study of photoacoustic and reflectance methods for determination of epidermal melanin content, J. Invest. Dermatol. 122 (2004) 1432-1439.Google ScholarGoogle Scholar
  270. M. Vrhel, R. Gershon, L. Iwan, Measurement and analysis of object reflectance spectra, Color Res. Appl. 19 (1) (1994) 4-9.Google ScholarGoogle Scholar
  271. S. Wan, R. Anderson, J. Parrish, Analytical modeling for the optical properties of the skin with in vitro and in vivo applications, Photochem. Photobiol. 34 (1981) 493-499.Google ScholarGoogle Scholar
  272. L. Wang, Rapidmodeling of diffuse reflectance in turbid slabs, J. Opt. Soc. Am. 15 (4) (1998) 937-944.Google ScholarGoogle Scholar
  273. L. Wang, S. Jacques, Hybrid method of Monte Carlo simulation and diffusion theory for light reflectance by turbid media, J. Opt. Soc. Am. 10 (8) (1995) 1746-1752.Google ScholarGoogle Scholar
  274. L. Wang, S. Jacques, L. Zheng, MCML - Monte Carlo modelling of light transport in multi-layered tissues, Comput. Methods Programs Biomed. 47 (1995) 131-146.Google ScholarGoogle Scholar
  275. S. Williamson, H. Cummins, Light and Color in Nature and Art, John Wiley & Sons, New York, 1983.Google ScholarGoogle Scholar
  276. B. Wilson, G. Adam, A Monte Carlo model for the absorption and flux distributions of light in tissue, Med. Phys. 10 (1983) 824-830.Google ScholarGoogle Scholar
  277. A. Witt, Multiple scattering in reflection nebulae. I. a Monte Carlo approach, Astrophys. J. Suppl. Ser. 15 (1977) 1-6.Google ScholarGoogle Scholar
  278. R. Woodward, B. Cole, V.P. Wallace, R. Pye, D. Arnone, E. Linfield, M. Pepper, Terahertz pulse imaging in reflection geometry of human skin cancer and skin tissue, Phys. Med. Biol. 47 (2002) 3853-3863.Google ScholarGoogle Scholar
  279. G. Wyszecki, W. Stiles, Color Science: Concepts and Methods, Quantitative Data and Formulae, second ed., John Wiley & Sons, New York, 1982.Google ScholarGoogle Scholar
  280. M. Yamaguchi, M. Mitsui, Y. Murakami, H. Fukuda, N. Ohyama, Y. Kubota, Multispectral color imaging for dermatology: application in inflammatory and immunologic diseases, in: 13th Color Imaging Conference, Scottsdale, Arizona, 2005, pp. 52-58.Google ScholarGoogle Scholar
  281. A. Yaroslavsky, A. Priezzhev, J. Rodriguez, I. Yaroslavsky, H. Battarbee, Optics of blood, in: V. Tuchin (Ed.), Handbook of Optical Biomedical Diagnostics, SPIE Press, Bellingham, Washington, 2002, pp. 169-216.Google ScholarGoogle Scholar
  282. A. Yaroslavsky, S. Utz, S. Tatarintsev, V. Tuchin, Angular scattering properties of human epidermal layers, in: Human Vision and Electronic Imaging VI, SPIE, vol. 2100, Bellingham, Washington, 1994, pp. 38-41.Google ScholarGoogle Scholar
  283. E. Yeargers, L. Augenstein, UV spectral properties of phenylalanine powder, Biophys. J. 5 (1965) 687-696.Google ScholarGoogle Scholar
  284. G. Yoon, Absorption and scattering of laser light in biological media - mathematical modeling and methods for determining optical properties, Ph.D. thesis, University of Texas at Austin, Texas, 1988.Google ScholarGoogle Scholar
  285. G. Yoon, S. Prahl, A. Welch, Accuracies of the diffusion approximation and its similarity relations for laser irradiated biological media, Appl. Opt. 28 (12) (1989) 2250-2255.Google ScholarGoogle Scholar
  286. G. Yoon, A. Welch, M. Motamedi, M. van Gemert, Development and application of three-dimensional light distribution model for laser irradiated tissue, IEEE J. Quantum Electron. QE-23 (1987) 1721-1733.Google ScholarGoogle Scholar
  287. H. Zahouani, R. Vargiolu, Skin line morphology: tree and branches, in: P. Agache, P. Humbert (Eds.), Measuring the Skin, Springer-Verlag, Berlin, 2004, pp. 40-59.Google ScholarGoogle Scholar
  288. G. Zerlaut, T. Anderson, Multiple-integrating sphere spectrophotometer for measuring absolute spectral reflectance and transmittance, Appl. Opt. 20 (21) (1981) 3797-3804.Google ScholarGoogle Scholar
  289. G. Zonios, J. Bykowsky, N. Kollias, Skinmelanin, hemoglobin, and light scattering properties can be quantitatively assessed in vivo using diffuse reflectance spectroscopy, J. Invest. Dermatol. 117 (6) (2001) 1452-1457.Google ScholarGoogle Scholar
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