Maria Raso and Alain Fournier, "A piecewise polynomial approach to shading using spectral distributions," in Graphics Interface 91, 1991, pp. 40-46.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....generating each path. Key words: Monte Carlo methods, wavelength dependent (spectral) rendering, caustics, rainbows, refraction, reflectance, global illumination. 1 Introduction The faults of using three component colour models for computing reflectance, absorption and dispersion are well known [13, 14]. Most physical processes that produce changes in radiant power spectra and colour (reflection, absorption, scattering, etc. are poorly approximated by models that assume smooth spectra, linearity, or linear separability of colour computations into separate geometric and wavelength dependent ....

....matrix involving an integration of a spectrum against the product of two basis functions. Even if nonoverlapping basis functions are chosen (which reduces approximation power) the cost of the O(K) integrations required to project the spectra against the basis functions can be prohibitive. Raso [14] uses piecewise polynomials to represent spectra. When spectra must be multiplied, this raises the degree of the polynomials, and so they must be projected down onto lower degree polynomials. This approach can be considered a generalization of the linear model where approximation error is handled ....

Maria Raso and Alain Fournier. A Piecewise Polynomial Approach to Shading Using Spectral Distributions. In Proc. Graphics Interface, pages 40--46, June 1991.

....each light source in the scene is partitioned into a set of intervals by extracting first the non zero portions of the spectrum and by isolating peaks from the continuum through a gradient calculation. 2.2 Projection on a set of basis functions 2.2.1 Use of polynomial functions. Raso and Fournier [RF91] suggest to use piecewise cubic polynomials to represent spectral power distributions. Interreflection computations are thus reduced to polynomial multiplications. To avoid obtaining very high degree for the final polynomial, the degree of the polynomials is kept constant by using a degree ....

M. G. Raso and A. Fournier, A piecewise polynomial approach to shading using spectral distribution, Proceedings of Graphics Interface 91, Calgary, Canada (1991), 40--46.

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Maria Raso and Alain Fournier, "A piecewise polynomial approach to shading using spectral distributions," in Graphics Interface 91, 1991, pp. 40-46.

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Raso M. G. and Fournier A., A Piecewise Polynomial Approach to Shading Using Spectral Distributions, Proceedings of Graphics Interface '91, Calgary, Canada, 1991, 40-46.

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M. G. Raso and A. Fournier, A piecewise polynomial approach to shading using spectral distribution, Proceedings of Graphics Interface 91, Calgary, Canada (1991), 40--46.

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Maria Raso and Alain Fournier. A piecewise polynomial approach to shading using spectral distributions. In Proceedings of Graphics Interface '91, pages 40--46, June 1991. 4, 18

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Raso M. G. and Fournier A., A Piecewise Polynomial Approach to Shading Using Spectral Distributions, Proceedings of Graphics Interface '91, Calgary, Canada, 1991, 40-46.

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