Abstract
Computer graphics systems today are able to produce highly realistic images. The realism has reached a level where an observer has difficulties telling whether an image is real or synthetic. The exception is when we try to compute a picture of a scene that really exists and compare the result to a photograph of the real scene. In this direct comparison, an observer quickly identifies the synthetic image. One of the problems is to model all the small geometrical details correctly. This is a problem that we will not consider. But even if we pick a simple experimental set up, where the objects in the scene have few geometrical details, a graphics system will still have a hard time predicting the result of taking a picture with a digital camera. The problem here is to model the optical properties of the materials correctly. In this chapter, we show how Lorenz–Mie theory enables us to compute the optical properties of turbid materials such that we can predict their appearance. To describe the entire process of predicting the appearance of a material, we include a description of the mathematical models used in realistic image synthesis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R.A. Hall, D.P. Greenberg, IEEE Comput. Graph. Appl. 3(8), 10 (1983)
A.S. Glassner, Principles of Digital Image Synthesis (Morgan Kaufmann Publishers, Inc., San Francisco, California, 1995). Two-volume set
S. Chandrasekhar, Radiative Transfer (Oxford, Clarendon Press, 1950). Unabridged and slightly revised version published by Dover Publications, Inc., in 1960
R. Siegel, J.R. Howell, Thermal Radiation Heat Transfer, 4th edn. (Taylor& Francis, New York, 2002)
M. Pharr, G. Humphreys, Physically Based Rendering: From Theory to Implementation (Morgan Kaufmann Publishers, an imprint of Elsevier Inc., 2004)
B.T. Phong, Commun. ACM 18(6), 311 (1975)
R.V. Klassen, ACM Trans. Graph. 6(3), 215 (1987)
D. Jackèl, B. Walter, Comput. Graph. Forum 16(4), 201 (1997)
A.J. Preetham, P. Shirley, B. Smits, in Proceedings of ACM SIGGRAPH 1999 (ACM Press, 1999), pp. 91–100
L.V. Wang, H.I. Wu, Biomedical Optics: Principles and Imaging (John Wiley& Sons, Inc., Hoboken, New Jersey, 2007)
A. Sommerfeld, J. Runge, Annalen der Physik 340, 277 (1911)
P.d. Fermat, OEuvres de Fermat: Correspondance, Vol. 2 (Gauthier-Villars et fils, Paris, 1894)
A. Glassner, IEEE Comput. Graph. Appl. 4(10), 15 (1984)
F.W. Jansen, in Data Structures for Raster Graphics: Proceedings of a Workshop Held at Steensel, the Netherlands, from 24–28 June 1985. Eurographics seminars, (Springer, 1986), pp. 57–73
A. Fujimoto, T. Tanaka, K. Iwata, IEEE Comput. Graph. Appl. 6(4), 16 (1986)
K. Sung, P. Shirley, in Graphics Gems III, ed. by D. Kirk (Academic Press, 1992), pp. 271–274
T. Möller, B. Trumbore, J. Graph. Tools 2(1), 21 (1997)
A. Fresnel, Mémoires de l’Académie des sciences de l’Institut de France 11, 393 (1832). Presented 7 January 1823
T. Whitted, Commun. ACM 23(6), 343 (1980). Presented at SIGGRAPH 79
R.W. Preisendorfer, Radiative Transfer on Discrete Spaces (Pergamon Press, 1965)
A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic Press, New York, 1978). Reissued by IEEE Press and Oxford University Press 1997
J.T. Kajiya, B.P. Von Herzen, Computer graphics (Proc. ACM SIGGRAPH 84) 18(3), 165 (1984)
S.N. Pattanaik, S.P. Mudur, J. Vis. Comput. Animat. 4(3), 133 (1993)
T. Nishita, Y. Miyawaki, E. Nakamae, Computer graphics (Proc. ACM SIGGRAPH 87) 21(4), 303 (1987)
H. Rushmeier, in Realistic Input for Realistic Images. ACM Press (ACM SIGGRAPH 95 Course Notes, 1995). Also appeared in the ACM SIGGRAPH 98 Course Notes—A Basic Guide to Global Illumination
P. Callet, Comput. Graph. Forum 15(2), 119 (1996)
T. Nishita, Y. Dobashi, in Proceedings of Computer Graphics International 2001 (IEEE Computer Society, 2001), pp. 149–156
J.R. Frisvad, N.J. Christensen, H.W. Jensen, ACM Trans. Graph. 26(3) (2007). Article 60
L.G. Henyey, J.L. Greenstein, Annales d’Astrophysique, 3, 117, (1940) Also in. Astrophys. J. 93, (1941)
C.F. Bohren, D.P. Gilra, J. Colloid Interface Sci. 72(2), 215 (1979)
H.C. van de Hulst, Light Scattering by Small Particles (John Wiley& Sons, Inc., New York, 1957), Unabridged and corrected version of the work published by Dover Publications, Inc., in 1981
L. Lorenz, Det kongelig danske Videnskabernes Selskabs Skrifter 6(1), 2–62 (6. Række, naturvidenskabelig og mathematisk Afdeling, 1890) pp 2–62
G. Mie, Annalen der Physik 25(3), 377 (1908). IV. Folge
M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic Press, New York, 1969)
J.V. Dave, IBM J. Res. Dev. 13(3), 302 (1969)
C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley& Sons, Inc., 1983)
G.W. Kattawar, G.N. Plass, Appl. Opt. 6(8), 1377 (1967)
W.J. Wiscombe, Appl. Opt. 19(9), 1505 (1980)
W.C. Mundy, J.A. Roux, A.M. Smith, J. Opt. Soc. Am. 64(12), 1593 (1974)
V.E. Cachorro, L.L. Salcedo, J. Electromagn. Waves Appl. 5(9), 913 (1991)
D.W. Mackowski, R.A. Altenkirch, M.P. Menguc, Appl. Opt. 29(10), 1551 (1990)
Z.S. Wu, Y.P. Wang, Radio Sci. 26(6), 1393 (1991)
W. Yang, Appl. Opt. 42(9), 1710 (2003)
H.C. van de Hulst, Physica 15(8–9), 740 (1949)
J. Randrianalisoa, D. Baillis, L. Pilon, J. Opt. Soc. Am. A 23(7), 1645 (2006)
J. Yin, L. Pilon, J. Opt. Soc. Am. A 23(11), 2784 (2006)
Q. Fu, W. Sun, J. Quant. Spectr. Radiat. Transf. 100(1–3), 137 (2006)
T.C. Grenfell, S.G. Warren, J. Geophys. Res. 104(D24), 31697 (1999)
S.P. Neshyba, T.C. Grenfell, S.G. Warren, J. Geophys. Res. 108(D15, 4448), 6 (2003)
T.C. Grenfell, S.P. Neshyba, S.G. Warren, J. Geophys. Res. 110(D17203), 1 (2005)
J.R. Frisvad, Light, Matter, and Geometry: The Cornerstones of Appearance Modelling (VDM Verlag Dr. Müller, 2008)
J.A. Lock, G. Gouesbet, J. Quant. Spectr. Radiat. Transf. 110(11), 800 (2009). Review
G. Gouesbet, J. Quant. Spectr. Radiat. Transf. 110(14–16), 1223 (2009). Review
E.P. Lafortune, Y.D. Willems, in Proceedings of the 7th Eurographics Workshop on Rendering (1996), pp. 91–100
H.D. Goff, A.R. Hill, in Dairy Science and Technology Handbook: Principles and Properties, vol. 1, ed. by Y.H. Hui (VCH Publishers, Inc., New York, 1993), Chap. 1, pp. 1–81
P.F. Fox, P.L.H. McSweeney, Dairy Chemistry and Biochemistry (Blackie Academic& Professional, London, 1998)
X. Quan, E.S. Fry, Appl. Opt. 34(18), 3477 (1995)
P.D.T. Huibers, Appl. Opt. 36(16), 3785 (1997)
H. Du, R.C.A. Fuh, J. Li, L.A. Corkan, J.S. Lindsey, Photochem. Photobiol. 68(2), 141 (1998)
J. Koziol, Photochem. Photobiol. 5, 41 (1966)
G.M. Hale, M.R. Querry, Appl. Opt. 12(3), 555 (1973)
M.C. Michalski, V. Briard, F. Michel, Lait 81, 787 (2001)
P. Walstra, R. Jenness, Dairy Chemistry and Physics (John Wiley& Sons, New York, 1984)
P. Walstra, Neth. Milk Dairy J. 29, 279 (1975)
D.W. Olson, C.H. White, R.L. Richter, J. Dairy Sci. 87(10), 3217 (2004)
R. Attaie, R.L. Richtert, J. Dairy Sci. 83, 940 (2000)
R. Gebhardt, W. Doster, J. Friedrich, U. Kulozik, Eur. Biophys. J. 35, 503 (2006)
D.G. Schmidt, P. Walstra, W. Buchheim, Neth. Milk Dairy J. 27, 128 (1973)
A. Stockman, L.T. Sharpe, Vis. Res. 40(13), 1711 (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Frisvad, J.R., Christensen, N.J., Jensen, H.W. (2012). Predicting the Appearance of Materials Using Lorenz–Mie Theory. In: Hergert, W., Wriedt, T. (eds) The Mie Theory. Springer Series in Optical Sciences, vol 169. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28738-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-28738-1_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28737-4
Online ISBN: 978-3-642-28738-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)