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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2016 Volume 28, Number 9, Pages 101–112 (Mi mm3770)

Transformation of $XYZ$ triplet into spectrum for lighting simulation tasks

I. V. Valiev, A. G. Voloboy, E. Yu. Denisov, S. V. Ershov, S. G. Pozdnyakov

Keldysh Institute of Applied Mathematics of RAS, Moscow

Abstract: The paper describes how to build spectrograms of the reflectance and transmittance for given chromaticity in the $XYZ$ CIE 1931 color space. The spectrogram calculation is performed minimizing the target function defining the deviation of the specified $XYZ$ values and $XYZ$ for the desired spectrogram. This procedure is used in the spectral simulation of light propagation.

Keywords: spectrogram, $XYZ$ CIE 1931, lighting simulation.

Received: 02.11.2015



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© Steklov Math. Inst. of RAS, 2026