Colour-matching functions as an eigenproblem solution

Miroslav Dohnal

doi:10.1117/12.818087

18 November 2008 Colour-matching functions as an eigenproblem solution

Miroslav Dohnal

Proceedings Volume 7138, Photonics, Devices, and Systems IV; 71382G (2008) https://doi.org/10.1117/12.818087
Event: Photonics, Devices, and Systems IV, 2008, Prague, Czech Republic

Abstract

The fourth-order differential operator has been designed including its coefficients B_i and C_i in such a way, that its first three eigenfunctions Φ_i(λ_iΕ) are almost identical those obtained by orthogonalising the colour matching functions x(λ), y(λ), and z(λ), CIE 1964. This operator gives an exact description of colour perception. Any changes to the spectral sensitivity of the cone system and B_i, C_i coefficients in our mathematical model result in a description of colour blindness in the observer. The principal aim of this paper is to mathematically describe the above-mentioned operator.

Citation Download Citation

Miroslav Dohnal "Colour-matching functions as an eigenproblem solution", Proc. SPIE 7138, Photonics, Devices, and Systems IV, 71382G (18 November 2008); https://doi.org/10.1117/12.818087

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