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颜色匹配函数的统计特性。

Statistical Properties of Color Matching Functions.

机构信息

Instituto Balseiro, CONICET, and Department of Medical Physics, Centro atómico Bariloche, San Carlos de Bariloche 8400, Argentina, and Center for Brain and Cognition, and Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona 08005, Spain

Instituto Balseiro, CONICET, and Department of Medical Physics, Centro atómico Bariloche, San Carlos de Bariloche 8400, Argentina

出版信息

Neural Comput. 2021 Aug 19;33(9):2578-2601. doi: 10.1162/neco_a_01421.

DOI:10.1162/neco_a_01421
PMID:34280301
Abstract

In trichromats, color vision entails the projection of an infinite-dimensional space (the one containing all possible electromagnetic power spectra) onto the three-dimensional space that modulates the activity of the three types of cones. This drastic reduction in dimensionality gives rise to metamerism, that is, the perceptual chromatic equivalence between two different light spectra. The classes of equivalence of metamerism are revealed by color-matching experiments in which observers adjust the intensity of three monochromatic light beams of three preset wavelengths (the primaries) to produce a mixture that is perceptually equal to a given monochromatic target stimulus. Here we use the linear relation between the color matching functions and the absorption probabilities of each type of cone to find particularly useful triplets of primaries. As a second goal, we also derive an analytical description of the trial-to-trial variability and the correlations of color matching functions stemming from Poissonian noise in photon capture. We analyze how the statistical properties of the responses to color-matching experiments vary with the retinal composition and the wavelengths of peak absorption probability, and compare them with experimental data on subject-to-subject variability obtained previously.

摘要

在三原色视觉者中,颜色视觉需要将一个无穷维的空间(包含所有可能的电磁功率谱)投射到调制三种类型的锥体活动的三维空间上。这种维度的急剧减少导致同色异谱现象,即两种不同光谱之间的感知色等效。同色异谱的等效类是通过颜色匹配实验揭示的,在该实验中,观察者调整三个预设波长(原色)的三个单色光束的强度,以产生一种混合物,其在感知上与给定的单色目标刺激等效。在这里,我们利用颜色匹配函数与每种类型的锥体的吸收概率之间的线性关系来找到特别有用的原色三元组。作为第二个目标,我们还推导出了一种分析描述,用于描述源自光子捕获泊松噪声的颜色匹配函数的试验间可变性和相关性。我们分析了对颜色匹配实验的响应的统计特性如何随视网膜组成和最大吸收概率波长而变化,并将其与之前获得的关于受试者间可变性的实验数据进行了比较。

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