ABSTRACT
Light scattering from hair is normally simulated in computer graphics using Kajiya and Kay's classic phenomenological model. We have made new measurements of scattering from individual hair fibers that exhibit visually significant effects not predicted by Kajiya and Kay's model. Our measurements go beyond previous hair measurements by examining out-of-plane scattering, and together with this previous work they show a multiple specular highlight and variation in scattering with rotation about the fiber axis. We explain the sources of these effects using a model of a hair fiber as a transparent elliptical cylinder with an absorbing interior and a surface covered with tilted scales. Based on an analytical scattering function for a circular cylinder, we propose a practical shading model for hair that qualitatively matches the scattering behavior shown in the measurements. In a comparison between a photograph and rendered images, we demonstrate the new model's ability to match the appearance of real hair.
Supplemental Material
- ADLER, C. L., LOCK, J. A., AND STONE, B. R. 1998. Rainbow scattering by a cylinder with a nearly elliptical cross section. Applied Optics 37, 9, 1540--1550.Google Scholar
Cross Ref
- AGARWAL, S., RAMAMOORTHI, R., BELONGIE, S., AND JENSEN, H. W. 2003. Structured importance sampling of environment maps. ACM Transactions on Graphics 22, 3. Google Scholar
Digital Library
- BUSTARD, H., AND SMITH, R. 1991. Investigation into the scattering of light by human hair. Applied Optics 24, 30, 3485--3491.Google Scholar
Cross Ref
- CHANG, J., JIN, J., AND YU, Y. 2002. A practical model for hair mutual interactions. In Proceedings of the ACM SIGGRAPH Symposium on Computer Animation, ACM Press, 73--80. Google Scholar
Digital Library
- CHEN, L.-H., SAEYOR, S., DOHI, H., AND ISHIZUKA, M. 1999. A system of 3D hair style synthesis based on the wisp model. The Visual Computer 15, 4, 159--170.Google Scholar
Cross Ref
- GOLDMAN, D. B. 1997. Fake fur rendering. In Proceedings of SIGGRAPH 1997, ACM Press, 127--134. Google Scholar
Digital Library
- GRAY, J. 1997. World of Hair. Hairdressing Training Board.Google Scholar
- HADAP, S., AND MAGNENAT-THALMANN, N. 2000. Interactive hair styler based on fluid flow. In Computer Animation and Simulation 2000, Eurographics, 87--99.Google Scholar
- HUMPHREYS, W. J. 1964. Physics of the Air. Dover, London.Google Scholar
- KAJIYA, J. T., AND KAY, T. L. 1989. Rendering fur with three dimensional textures. In Proceedings of SIGGRAPH 1989, 271--280. Google Scholar
Digital Library
- KAJIYA, J. T. 1985. Anisotropic reflection models. In Proceedings of SIGGRAPH 85, ACM Press, 15--21. Google Scholar
Digital Library
- KIM, T.-Y., AND NEUMANN, U. 2000. A thin shell volume for modeling human hair. In Computer Animation 2000, IEEE CS Press, 104--111. Google Scholar
Digital Library
- KIM, T.-Y., AND NEUMANN, U. 2001. Opacity shadow maps. In Rendering Techniques 2001: Proceedings of Eurographics Rendering Workshop, Springer Verlag Wien, 177--182. Google Scholar
Digital Library
- KIM, T.-Y., AND NEUMANN, U. 2002. Interactive multiresolution hair modeling and editing. ACM Transactions on Graphics 21, 3, 620--629. Google Scholar
Digital Library
- KIM, T.-Y. 2002. Modeling, Rendering, and Animating Human Hair. PhD thesis, University of Southern California. Google Scholar
Digital Library
- KONG, W., AND NAKAJIMA, M. 2000. Hair rendering by jittering and pseudo shadow. In Computer Graphics International 2000, 287--294. Google Scholar
Digital Library
- LOKOVIC, T., AND VEACH, E. 2000. Deep shadow maps. In Proceedings of SIGGRAPH 2000, ACM Press, 385--392. Google Scholar
Digital Library
- MAGNENAT-THALMANN, N., HADAP, S., AND KALRA, P. 2002. State of the art in hair simulation. In International Workshop on Human Modeling and Animation, Korea Computer Graphics Society, 3--9.Google Scholar
- MARCUSE, D. 1974. Light scattering from elliptical fibers. Applied Optics 13, 1903--1905.Google Scholar
Cross Ref
- MOUNT, C. M., THIESSEN, D. B., AND MARSTON, P. L. 1998. Scattering observations for tilted transparent fibers. Applied Optics 37, 9, 1534--1539.Google Scholar
Cross Ref
- POULIN, P., AND FOURNIER, A. 1990. A model for anisotropic reflection. In Proceedings of SIGGRAPH 90, 273--282. Google Scholar
Digital Library
- ROBBINS, C. R. 1994. Chemical and Physical Behavior of Human Hair, third ed. Springer-Verlag, New York.Google Scholar
- SOURIN, A., PASKO, A., AND SAVCHENKO, V. 1996. Using real functions with application to hair modelling. Computers & Graphics 20, 1, 11--19.Google Scholar
Cross Ref
- STAMM, R. F., GARCIA, M. L., AND FUCHS, J. J. 1977. The optical properties of human hair I. fundamental considerations and goniophotometer curves. J. Soc. Cosmet. Chem., 28, 571--600.Google Scholar
- TRICKER, R. A. R. 1970. Introduction to Meteorological Optics. Mills & Boon, London.Google Scholar
- WATANABE, Y., AND SUENAGA, Y. 1992. A trigonal prism-based method for hair image generation. IEEE Computer Graphics & Applications 12, 1, 47--53. Google Scholar
Digital Library
Index Terms
Light scattering from human hair fibers




Comments