Abstract
Models of light interaction with matter usually rely on subsurface scattering approximations based on the use of phase functions – notably, the Henyey-Greenstein phase function and its variations. In this paper, we challenge the generalized use of these approximations, especially for organic materials, and propose the application of a data-oriented approach whenever reliable measured data is available. Our research is supported by comparisons involving the original measured data that motivated the use of phase functions in algorithmic simulations of tissue subsurface scattering. We hope that this investigation will help strengthen the biophysical basis required for the predictable rendering of organic materials.
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Anderson RR, Parrish JA (1981) The optics of human skin. J Invest Dermatol 77(1):13–19
Arvo JR (1995) Analytic methods for simulated light transport. Dissertation, Yale University
Arvo JR (1995) Applications of irradiance tensors to the simulation of non-lambertian phenomena. In: SIGGRAPH, Annual Conference Series, pp 335–342
Baranoski GVG, Krishnaswamy A, Kimmel B (2003) Revisiting the foundations of subsurface scattering. Technical Report CS-2003-45, School of Computer Science, University of Waterloo
Baranoski GVG, Rokne JG (2004) Light interaction with plants: a computer graphics perspective. Horwood, Chichester
Bruls WAG, van der Leun JC (1982) The use of diffuser in the measurement of transmission of human epidermal layers. Photochem Photobiol 36(6):709–713
Bruls WAG, Slaper H, van der Leun JC, Berrens L (1984) Transmission of human epidermis and stratum corneum as a function of thickness in the ultraviolet and visible wavelengths. Photochem Photobiol 40(4):485–494
Bruls WAG, van der Leun JC (1984) Forward scattering properties of human epidermal layers. Photochem Photobiol. 40(2):231–242
Chedekel MR (1995) Photophysics and photochemistry of melanin. In: Chedekel MR, Zeise L, Fitzpatrick TB (eds) Melanin: its role in human photoprotection. Valdenmar, Overland Park, pp 11–22
Cotton SD (1997) A noninvasive skin imaging system. Technical Report CSR-97-03, School of Computer Science, The University of Birmingham
Dana KJ, van Ginneken B, Nayar SK, Koenderink JJ (1999) Reflectance and texture of real world surfaces. ACM Trans Graph 18(1):1–34
Dunn A, Richards-Kortum R (1996) Three-dimensional computation of light scattering from cells. IEEE Select Topics Quantum Electron 2(4):898–905
Flock ST, Patterson MS, Wilson BC, Wyman DR (1989) Monte Carlo modeling of light propagation in highly scattering tissues – I: Model predictions and comparison with diffusion theory. IEEE Trans Biomed Eng 36(12):1162–1168
Furutso K (1980) Diffusion equation derived from space-time transport equation. J Opt Soc Am 70(4):360–366
Glassner AS (1995) Principles of digital image synthesis. Kaufmann, San Francisco
Govaerts YM, Jacquemoud S, Verstraete M, Ustin SL (1996) Three-dimensional radiation transfer modeling in a dycotyledon leaf. Appl Opt 35(33):6585–6598
Greenberg DP, Arvo J, Lafortune E, Torrance KE, Ferwerda JA, Walter B, Trumbore B, Shirley P, Pattanaik S, Foo S (1997) A framework for realistic image synthesis. In: SIGGRAPH, Annual Conference Series, pp 477–494
Hanrahan P, Krueger W (1993) Reflection from layered surfaces due to subsurface scattering. In: SIGGRAPH, Annual Conference Series, pp 165–174
Henyey LG, Greenstein JL (1941) Diffuse radiation in the galaxy. Astrophys J 93:70–83
Imai FH, Tsumura N, Haneishi H, Miyake Y (1996) Principal component analysis of skin color and its application to colorimetric reproduction on CRT display and hardcopy. J Image Sci Technol 40(5):422–430
Ishimaru A (1997) Wave propagation and scattering in random media, volume 1, 2nd edn. IEEE Press, New York
Jacques SL, Alter CA, Prahl SA (1987) Angular dependence of HeNe laser light scattering by human dermis. Lasers Life Sci 1(4):309–333
Jensen HW, Buhler J (2002) A rapid hierarchical rendering technique for translucent materials. In: SIGGRAPH, Annual Conference Series, pp 576–581
Jensen HW, Legakis J, Dorsey J (1999) Rendering of wet materials. In: Lischinski D, Larson GW (eds) Rendering Techniques 1999, Proceedings of the 10th Eurographics Rendering Workshop, Granada. Springer, Berlin Heidelberg New York, pp. 281–289
Jensen HW, Marschner SR, Levoy M, Hanrahan P (2001) A practical model for subsurface light transport. In: SIGGRAPH, Annual Conference Series, pp 511–518
Jolliffe IT (2002) Principal component analysis, 2nd edn. Springer, Berlin Heidelberg New York
Kattawar GW (1975) A three-parameter analytic phase function for multiple scattering calculations. J Quant Spectrosc Radiat Transfer 15:839–849
Krishnaswamy A, Baranoski GVG (2004) A biophysically based spectral model of light interaction with human skin. In: Computer Graphics Forum (EUROGRAPHICS Proceedings) 23(3):331–340
Krishnaswamy A, Baranoski GVG, Rokne JG (2004) Improving the reliability/cost ratio of goniophotometric measurements. J Graph Tools 9(3):31–51
Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the Nelder-Mead simplex method in low dimensions. SIAM J Optim 9(1):112–147
Lalonde P, Fournier A (1997) Generating reflected directions from BRDF data. In: Computer Graphics Forum (EUROGRAPHICS Proceedings) 16(3):293–300
Li Z, Fung AK, Tjuatja S, Gibbs DP, Betty CL, Irons JR (1996) A modeling study of backscattering from soil surfaces. IEEE Trans Geosci Remote Sens 34(1):264–271
Ma Q, Nishimura A, Phu P, Kuga Y (1990) Transmission, reflection and depolarization of an optical wave for a single leaf. IEEE Trans Geosci Remote Sens 28(5):865–872
Marschner SR, Westin SH, Lafortune EPF, Torrance KE, Greenberg DP (1999) Image-based BRDF measurement including human skin. In: Lischinski D, Larson GW (eds) Rendering Techniques 1999, Proceedings of the 10th Eurographics Rendering Workshop, Granada. Springer, Berlin Heidelberg New York, pp 119–130
Matusik W, Pfister H, Brand M, McMillan L (2003) A data-driven reflectance model. ACM Trans Graph 22(3):759–769
Mourant JR, Freyer JP, Hielscher AH, Eick AA, Shen D, Johnson TM (1998) Mechanisms of light scattering from biological cells relevant to noninvasive optical-tissue diagnostics. Appl Opt 37(16):3586–3593
Ng CS, Li L (2001) A multi-layered reflection model of natural human skin. In: Computer Graphics International 2001, Hong Kong, pp 249–256
Nicodemus FE, Richmond JC, Hsia JJ, Ginsberg IW, Limperis T (1992) Geometrical considerations and nomenclature for reflectance. In: Wolff LB, Shafer SA, Healey GE (eds) Physics-based vision principles and practice: radiometry. Jones and Bartlett, Boston, pp 94–145
Parsad D, Wakamatsu K, Kanwar AJ, Kumar B, Ito S (2003) Eumelanin and phaeomelanin contents of depigmented and repigmented skin in vitiligo patients. Br J Dermatol 149(3):624–626
Petersen GD, McCormick NJ, Reynolds LO (1976) Transport calculations for light scattering in blood. Biophys J 16:199–207
Pharr M, Hanrahan P (2000) Monte Carlo evaluation of non-linear scattering equations for subsurface reflection. In: SIGGRAPH, Annual Conference Series, pp 75–84
Prahl SA (1988) Light transport in tissue. Dissertation, The University of Texas at Austin
Prahl SA, Keijzer M, Jacques SL, Welch AJ (1989) A Monte Carlo model of light propagation in tissue. SPIE Institute Series IS 5:102–111
Premoze S, Ashikhmin M, Shirley P (2003) Path integration for light transport in volumes. In: Christensen P, Cohen-Or D (eds) Eurographics Symposium on Rendering, pp 75–84
Reynolds LO, McCormick NJ (1980) Approximate two-parameter phase function for light scattering. J Opt Soc Am 7(10):1206–1212
Sardar DK, Levy LB (1998) Optical properties of whole blood. Lasers Med Sci 13(2):106–111
Shimada M, Yamada Y, Itoh M, Yatagai T (2001) Melanin and blood concentration in human skin studied by multiple regression analysis: experiments. Phys Med Biol 46(9):2385–2395
Stam J (2001) An illumination model for a skin layer bounded by rough surfaces. In: Hanrahan PM, Purgathofer E (eds) Rendering Techniques 2001, Proceedings of the 12th Eurographics Rendering Workshop, London. Springer, Berlin Heidelberg New York, pp 39–52
Steinke JM, Shepherd AP (1988) Diffusion model of the optical absorbance of whole blood. J Opt Soc Am 5(6):813–822
Tessendorf J, Wilson D (1994) Impact of multiple scattering on simulated infrared clod scene images. In: Christensen P, Cohen-Or D (eds) Characterization and propagation of sources and backgrounds. SPIE, Bellingham, pp 75–84
Thody AJ, Higgins EM, Wakamatsu K, Ito S, Burchill SA, Marks JM (1991) Pheomelanin as well as eumelanin is present in human dermis. J Invest Dermatol 97(2):340–344
Tsumura N, Ojima N, Sato K, Shiraishi M, Shimizu H, Nabeshima H, Akazaki S, Hori K, Miyake Y (2003) Image-based skin color and texture analysis/synthesis by extracting hemoglobin and melanin information in the skin. ACM Trans Graph 22(3):770–779
Tuchin V (2000) Tissue optics light scattering methods and instruments for medical diagnosis. SPIE, Bellingham
Tucker CJ, Garrat MW (1977) Leaf optical system modeled as a stochastic process. Appl Opt 16(3):635–642
Uesugi A, Irvine WM, Kawata Y (1971) Formation of absorption spectra by diffuse reflection from a semi-infinite planetary atmosphere. J Quant Spectrosc Radiat Transfer 11:797–808
van de Hulst HC (1980) Multiple light scattering: tables, formulas, and applications, volume 1. Academic Press, New York
van de Hulst HC (1981) Light scattering by small particles, 2nd edn. Dover, New York
van Gemert MJC, Jacques SL, Sterenborg HJCM, Star WM (1989) Skin optics. IEEE Trans Biomed Eng 36(12):1146–1154
Vrhel MJ, Gershon R, Iwan LS (1994) Measurement and analysis of object reflectance spectra. Color Res Appl 19(1):4–9
Ward GJ (1992) Measuring and modeling anisotropic reflection. In: Computer Graphics, SIGGRAPH Proceedings, pp 265–272
Wilson BC, Adam G (1983) A Monte Carlo model for the absorption and flux distributions of light in tissue. Med Phys 10(6):824–830
Witt AN (1977) Multiple scattering in reflection nebulae. I. a Monte Carlo approach. Astrophys J Suppl Ser 15(1):1–6
Yoon G, Prahal SA, Welch AJ (1989) Accuracies of the diffusion approximation and its similarity relations for laser irradiated biological media. Appl Opt 28(12):2250–2255
Yoon G, Welch AJ, Motamedi M, van Gemert MCJ (1987) Development and application of three-dimensional light distribution model for laser irradiated tissue. IEEE J Quantum Electron QE-23:1721–1733
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Baranoski, G., Krishnaswamy, A. & Kimmel, B. Increasing the predictability of tissue subsurface scattering simulations. Vis Comput 21, 265–278 (2005). https://doi.org/10.1007/s00371-005-0288-0
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DOI: https://doi.org/10.1007/s00371-005-0288-0