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Proceedings Paper

Colour-matching functions as an eigenproblem solution
Author(s): Miroslav Dohnal
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Paper Abstract

The fourth-order differential operator has been designed including its coefficients Bi and Ci in such a way, that its first three eigenfunctions ΦiiΕ) 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 Bi, Ci 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.

Paper Details

Date Published: 18 November 2008
PDF: 8 pages
Proc. SPIE 7138, Photonics, Devices, and Systems IV, 71382G (18 November 2008); doi: 10.1117/12.818087
Show Author Affiliations
Miroslav Dohnal, Univ.of Pardubice (Czech Republic)

Published in SPIE Proceedings Vol. 7138:
Photonics, Devices, and Systems IV
Pavel Tománek; Dagmar Senderáková; Miroslav Hrabovský, Editor(s)

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