Colour-matching functions as an eigenproblem solution

机译：颜色匹配作为本征问题解决方案

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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_iξ) 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.

机译：设计四阶微分算子包括其系数B_i和C_i，以使其前三个本征函数φ_i（λ_iξ）与通过正交化色彩匹配函数x（λ），y（λ），和z（λ），CIE1964。该运算符给出了色彩感知的准确描述。在我们的数学模型中，视锥系统的光谱灵敏度和B_i，C_i系数的任何变化都会导致观察者出现色盲。本文的主要目的是用数学方法描述上述算子。

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来源
《Photonics, devices, and systems IV》|2008年|71382G.1-71382G.8|共8页
会议地点 Prague(CS)
作者
Miroslav Dohnal;
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作者单位

Dept. of Graphic Arts and Photophysics, Faculty of Chemical Technology, University of Pardubice, Studentska 95, 53210 Pardubice, Czech Republic;

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会议组织
原文格式 PDF
正文语种 eng
中图分类工程光学;
关键词
colour-matching functions; colour vision; differential operator; eigenproblem; gram - schmidt process; hilbert space;

机译：配色功能；色觉微分算子特征问题克-施密特工艺；希尔伯特空间;

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4. Colour-matching functions as an eigenproblem solution [C] . Miroslav Dohnal Conference on photonics, devices, and systems . 2008

机译：将彩色匹配功能作为EIGENPROBLAM解决方案
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7. The colour-matching functions and visual research [O] . W David Wright 2016

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8. Iterative Block Lanczos Method for the Solution of Large Sparse Symmetric Eigenproblems. [R] . underwood, r. r. 2001

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Colour-matching functions as an eigenproblem solution

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