“Linear color representations for full speed spectral rendering” by Peercy

  • ©Mark Peercy

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Title:

    Linear color representations for full speed spectral rendering

Presenter(s)/Author(s):



Abstract:


    We present a general linear transform method for handling full spectral information in computer graphics rendering. In this framework,
    any spectral power distribution in a scene is described with respect
    to a set of fixed orthonormal basis functions. The lighting computations follow simply from this decision, and they can be viewed as a
    generalization of point sampling. Because any basis functions can
    be chosen, they can be tailored to the scenes that are to be rendered.
    We discuss efficient point sampling for scenes with smoothly varying spectra, and we present the use of characteristic vector analysis
    to select sets of basis functions that deal efficiently with irregular
    spectral power distributions. As an example of this latter method,
    we render a scene illuminated with fluorescent light.

References:


    1. Borges, Carlos. Trichromatic Approximation for Computer Graphics Illumination Models. Proceedings of SIGGRAPH ’91 (Las Vegas, Nevada, July 28-August 2, 1991). In Computer Graphics 25,4 (July 1991),101-104.
    2. Borges, Carlos. Numerical Methods for Illumination Models in Realistic Image Synthesis. PhD dissertation, University of California, Davis, 1990.
    3. Cohen, Jozef. Dependency of the Spectral Reflectance Curves of the Munsell Color Chips. Psychon. Sci. 1 (1964), 369-370.
    4. Cowan, William. An Inexpensive Scheme for Calibration of a Color Monitor in Terms of CIE Standard Coordinates. Proceedings of SIGGRAPH ’83 (Detroit, Michigan, July 25-29, 1983). In Computer Graphics 17,3 (July 1983), 315-321.
    5. Davis, E and Rabinowitz, E Methods of Numerical Integration. Academic Press, New York, 1975.
    6. Hall, Roy. Illumination and Color in Computer Generated Image~7. Springer-Verlag, New York, 1989.
    7. Hall, Roy and Greenberg, Donald. A Testbed for Realistic Image Synthesis. IEEE Computer Graphics and Applications 3 (1983), 10-20.
    8. Judd, Deane, MacAdam, David, and Wyszecki, Gunter. Spectral Distribution of Typical Daylight as a Function of Correlated Color Temperature. J. Opt. Soc. Am. 54,8 (1964), 1031- 1040.
    9. Maloney, Laurence. Evaluation of linear models of surface spectral reflectance with small numbers of parameters. J. Opt. Soc. Am. A 3,10 (1986), 1673-1683.
    10. Maloney, Laurence. ComputationalApproaches to Color Constancy. PhD dissertation, Stanford University, 1985.
    11. Mardia, K., Kent, J., and Bibby, J. Multivariate Analysis. Academic, London, 1979.
    12. Marimont, David and Wandell, Brian. Linear models of surface and illuminant spectra. J. Opt. Soc. Am. A 9,11 (1992), 1905-1913.
    13. McCamy, C., Marcus, H., and Davidson, J. A Color Rendition Chart. J. Appl. Photographic Engrg. 11,3 (1976), 95-99.
    14. Meyer, Gary. Wavelength Selection for Synthetic Image Generation. Computer Vision, Graphics, and Image Processing 41 (1988), 57-79.
    15. Parkkinen, J., Hallikainen, J., and Jaaskelainen, T. Characteristic Spectra of Munsell Colors. J. Opt. Soc. Am.A 6,2 (1989), 318-322.
    16. Raso, Maria, and Fournier, Alain. A Piecewise Polynomial Approach to Shading Using Spectral Distributions. Proceedings of Graphics Interface ’91. (Calgary, Alberta, June 3-7, 1991), 40-46.
    17. Smith, Brent, Spiekermann, Charles, and Sember, Robert. Numerical Methods for Colorimetric Calculations: A Comparison of Integration Methods. COLOR Research andApplication 17,6 (1992), 384-393.
    18. Smith, Brent, Spiekermann, Charles, and Sember, Robert. Numerical Methods for Colorimetric Calculations: Sampling Density Requirements. COLOR Research and Application 17,6 (1992), 394-401.
    19. Wallis, Robert. Fast computation of tristimulus values by use of Gaussian quadrature. J. Opt. Soc. Am. 65,1 (1975), 91-94.
    20. Wandell, Brian. The Synthesis and Analysis of Color Images. IEEE Trans. on Pattern Analysis and Machine Intelligence, PAMI-9,1 (1987), 2-13.
    21. Wyszecki, Gunter and Stiles, W.S. Color Science: Concepts and Methods, Quantitative Data and Formulae. John Wiley and Sons, 1982.


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