用量子框架解释颜色感知的相对性,统一三色与拮抗理论
The relativity of color perception
- 基于三色视觉公理与乔丹代数,构建颜色感知的量子模型
- 无需额外假设,自然导出颜色感知的相对性特性
- 为颜色感知的物理基础提供新理论视角,适合视觉科学与认知研究者
物理颜色即进入人眼的反射或发射光,经神经生理机制转化为人类感知的颜色。该过程涉及三种视锥细胞(LMS锥体)以及来自节细胞和外侧膝状体细胞活动率的光谱拮抗与非拮抗相互作用。因此,颜色感知本质上关联于实验环境(视觉场景)与观测装置(人眼视觉系统)。这一特性与相对论和量子力学中物理系统与测量仪器的关系高度相似。1962年物理学家H. Yilmaz首次从实验角度探讨了颜色感知与相对论的关系。本文旨在提出一个严格的数学模型,结合三色性和颜色拮抗,从纯理论角度解释Yilmaz提出的相对性颜色感知现象。我们不直接依赖相对论,而是基于颜色感知的量子诠释,并引入一个称为三色性公理的假设,总结了三色视觉的已知性质。该方法成功调和了三色性与赫林拮抗理论,并在无额外数学或实验假设下推导出感知颜色的相对性特征。
原文摘要 · Abstract (English)
Physical colors, i.e. reflected or emitted lights entering the eyes from a visual environment, are converted into perceived colors sensed by humans by neurophysiological mechanisms. These processes involve both three types of photoreceptors, the LMS cones, and spectrally opponent and non-opponent interactions resulting from the activity rates of ganglion and lateral geniculate nucleus cells. Thus, color perception is a phenomenon inherently linked to an experimental environment (the visual scene) and an observing apparatus (the human visual system). This is clearly reminiscent of the conceptual foundation of both relativity and quantum mechanics, where the link is between a physical system and the measuring instruments. The relationship between color perception and relativity was explicitly examined for the first time by the physicist H. Yilmaz in 1962 from an experimental point of view. The main purpose of this contribution is to present a rigorous mathematical model that, by taking into account both trichromacy and color opponency, permits to explain on a purely theoretical basis the relativistic color perception phenomena argued by Yilmaz. Instead of relying directly on relativistic considerations, we base our theory on a quantum interpretation of color perception together with just one assumption, called trichromacy axiom, that summarizes well-established properties of trichromatic color vision within the framework of Jordan algebras. We show how this approach allows us to reconcile trichromacy with Hering's opponency and also to derive the relativistic properties of perceived colors without any additional mathematical or experimental assumption.
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