Abstract
In this paper we present a novel illumination model that takes into account multiple anisotropic scattering in a layer bounded by two rough surfaces. We compute the model by a discrete-ordinate solution of the equation of radiative transfer. This approach is orders of magnitude faster than a Monte Carlo simulation and does not suffer from any noisy artifacts. By fitting low order splines to our results we are able to build analytical shaders. This is highly desirable since animators typically want to texture map the parameters of such a shader for higher realism. We apply our model to the important problem of rendering human skin. Our model does not seem to have appeared before in the optics literature. Most previous models did not handle rough surfaces at the skin’s boundary. Also we introduce a simple analytical bidirectional transmittance distribution function (BTDF) for an isotropic rough surface by generalizing the Cook-Torrance model.
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References
P. Beckmann and A. Spizzichino. The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon, New York, 1963.
M. Born and E. Wolf. Principles of Optics. Sixth (corrected) Edition. Cambridge University Press, Cambridge, U.K., 1997.
S. Chandrasekhar. Radiative Transfer. Dover, New York, 1960.
R. L. Cook and K. E. Torrance. A Reflectance Model for Computer Graphics. ACM Computer Graphics (SIGGRAPH ’81),15(3):307–316, August 1981.
P. Hanrahan and W. Krueger. Reflection from Layered Surfaces due to Subsurface Scattering. In Proceedings of SIGGRAPH ’93, pages 165–174. Addison-Wesley Publishing Company, August 1993.
J. E. Hansen and L. D. Travis. Light Scattering in Planetary Atmospheres. Space Science Reviews, 16:527–610, 1974.
X. D. He. Physically-Based Modelsfor the Reflection, Transmission and Subsurface Scattering of Light by Smooth and Rough Surfaces, with Applications to Realistic Image Synthesis. PhD thesis, Cornell University, Ithaca, New York, 1993.
H. W. Jensen, S. R. Marschner, M. Levoy, and P. Hanrahan. A Practical Model for Subsurface Light Transport. In Computer Graphics Proceedings, Annual Conference Series, 2001, page (to appear), August 2001.
Z. Jin and K. Stamnes. Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system. Applied Optics, 33(3):431–442, January 1994.
J. T. Kajiya and B. P. von Herzen. Ray Tracing Volume Densities. ACM Computer Graphics (SJGGRAPH’ 84),18(3):165–174, July 1984.
E. P. F. Lafortune, S-C. Foo, K. E. Torrance, and D. P. Greenberg. Non-Linear Approximation of Reflectance Functions. In Computer Graphics Proceedings, Annual Conference Series, 1997, pages 117–126, August 1997.
E. Languénou, K. Bouatouch, and M. Chelle. Global illumination in presence of participating media with general properties. In Proceedings of the 5th Eurographics Workshop on Rendering, pages 69–85, Darmstadt, Germany, June 1994.
S. R. Marschner, S. H. Westin, E. P. F. Lafortune, K. E. Torrance, and D. P. Greenberg. Image-based brdf measurement including human skin. Eurographics Workshop on Rendering, 1999.
N. Max. Efficient light propagation for multiple anisotropic volume scattering. In Proceedings of the 5th Eurographics Workshop on Rendering, pages 87–104, Darmstadt, Germany, June 1994.
C. D. Mobley. A numerical model for the computation of radiance distributions in natural waters with wind-roughened surfaces. Limnology and Oceanography, 34(8):1473–1483, 1989.
S. K. Nayar, K. Ikeuchi, and T. Kanade. Surface Reflection: Physical and Geometrical Perspectives. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(7):611–634, July 1991.
NETLIB. The code is publicly available from http://netlib.org.
M. Pharr and P. Hanrahan. Monte Carlo Evaluation of Non-Linear Scattering Equations for Subsurface Reflection. In Computer Graphics Proceedings, Annual Conference Series, 2000, pages 75–84, July 2000.
G. N. Plass, G. W. Kattawar, and F. E. Catchings. Matrix operator theory of radiative transfer. 1: Rayleigh scattering. Applied Optics, 12(2):314–329, February 1973.
A. A. Prahl, M. J. C. van Gernert,, and A. J. Welch. Determining the optical properties of turbid media by using the adding-doubling method. Applied Optics, 32:559–568, 1993.
K. Stamnes and P. Conklin. A New Multi-Layer Discrete Ordinate Approach to Radiative Transfer in Vertically Inhomogeneous Atmospheres. Journal of Quantum Spectroscopy and Radiative Transfer, 31(3):273–282, 1984.
K. E. Torrance and E. M. Sparrow. Theory for Off-Specular Reflection From Roughened Surfaces. Journal of the Optical Society of America, 57(9): 1105–1114, September 1967.
V. V. Tuchin. Light scattering study of tissue. Physics — Uspekhi, 40(5):495–515, 1997.
M. J. C. van Gernert, S. L. Jacques, H. J. C. M. Sterenborg, and W. M. Star. Skin optics. IEEE Transactions on Biomedical Engineering, 36(12):1146–1154, December 1989.
B. van Ginneken, M. Stavridi, and J. J. Koenderink. Diffuse and specular reflectance from rough surfaces. Applied Optics, 37(1):130–139, January 1998.
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© 2001 Springer-Verlag Wien
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Stam, J. (2001). An Illumination Model for a Skin Layer Bounded by Rough Surfaces. In: Gortler, S.J., Myszkowski, K. (eds) Rendering Techniques 2001. EGSR 2001. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6242-2_4
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DOI: https://doi.org/10.1007/978-3-7091-6242-2_4
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