科学家终于完成了薛定谔百年前的色彩理论

* *Draft:* 由洛斯阿拉莫斯国家实验室科学家罗克珊·布贾克领导的一个团队，利用几何学建立了一个基于色调、饱和度和亮度的颜色感知数学定义。 * *Source:* "Their results, presented at a visualization science conference, formalize Schrödinger's model of color and show that these familiar color qualities are built into the structure of color perception itself." * *Key terms:* visualization science conference (可视化科学会议), formalize (形式化/使...形式化), Schrödinger's model (薛定谔模型), color qualities (颜色属性/特质). * *Draft:* 他们的研究结果在一个可视化科学会议上发表，将薛定谔的颜色模型形式化，并表明这些熟悉的颜色属性是构建在颜色感知结构本身之中的。 * **Paragraph 2:** * *Source:* "What we conclude is that these color qualities don't emerge from additional external constructs such as cultural or learned experiences but reflect the intrinsic properties of the color metric itself," Bujack said. * *Key terms:* external constructs (外部构建/外部概念), cultural or learned experiences (文化或习得经验), intrinsic properties (内在属性), color metric (颜色度量). * *Draft:* “我们得出的结论是，这些颜色属性并非源于额外的外部构建（如文化或习得经验），而是反映了颜色度量本身的内在属性，”布贾克说。 * *Source:* "This metric geometrically encodes the perceived color distance -- that is, how different two colors appear to an observer." * *Key terms:* geometrically encodes (几何编码), perceived color distance (感知颜色距离). * *Draft:* “该度量以几何方式编码了感知颜色距离——即两种颜色在观察者眼中的差异程度。” * **Paragraph 3 (Heading):** * *Source:* "Completing Schrödinger's Color Puzzle" * *Draft:* 完善薛定谔的颜色拼图 / 补全薛定谔的颜色谜题. "Puzzle" here implies a missing piece of a theory. "补全...谜题" or "完善...拼图". Let's go with "补全薛定谔的颜色谜题" or "完善薛定谔的颜色拼图". "Puzzle" often translates to 谜题 in scientific contexts of solving problems, but "puzzle" implies pieces. Let's use "补全薛定谔的颜色拼图" (Completing the puzzle). Or "解开薛定谔的颜色谜题". The text says "supplied a missing piece", so "puzzle" fits "拼图". Let's use "补全薛定谔的颜色拼图". * **Paragraph 4:** * *Source:* "By defining these perceptual attributes more rigorously, the researchers have supplied a missing piece in Schrödinger's long standing vision for a closed mathematical model of color." * *Key terms:* perceptual attributes (感知属性), rigorously (严谨地), long standing vision (长期愿景), closed mathematical model (闭合数学模型/封闭数学模型). * *Draft:* 通过更严谨地定义这些感知属性，研究人员为薛定谔长期以来建立颜色封闭数学模型的愿景补上了缺失的一环。 * *Source:* "The goal was to define hue, saturation, and lightness using only the geometric property of highest color similarity." * *Key terms:* geometric property (几何性质), highest color similarity (最高颜色相似度). * *Draft:* 其目标是仅利用最高颜色相似度的几何性质来定义色调、饱和度和亮度。 * **Paragraph 5:** * *Source:* "Human color vision is based on three types of cone cells, which are centered around red, blue, and green." * *Key terms:* cone cells (视锥细胞), centered around (以...为中心/主要对应). 注明: Biologically, they are Long (Red), Medium (Green), Short (Blue). "Centered around" is a simplification in the text. * *Draft:* 人类色觉基于三种视锥细胞，它们分别主要对应红、蓝、绿三色。 * *Source:* "That gives color spaces three dimensions, allowing scientists to organize and compare colors mathematically." * *Key terms:* color spaces (颜色空间), dimensions (维度). * *Draft:* 这赋予了颜色空间三个维度，使科学家能够从数学上组织和比较颜色。 * **Paragraph 6:** * *Source:* "In the 19th century, mathematician Bernhard Riemann proposed that perceptual color spaces are not flat or straight, but curved." * *Key terms:* Bernhard Riemann (伯恩哈德·黎曼), flat (平坦), curved (弯曲). * *Draft:* 19世纪，数学家伯恩哈德·黎曼提出，感知颜色空间并非平坦或笔直的，而是弯曲的。 * *Source:* "In the 1920s, Schrödinger built on that idea by defining hue, saturation, and lightness within a Riemannian model of color perception, using a metric that describes how people perceive color differences." * *Key terms:* Riemannian model (黎曼模型), metric (度量). * *Draft:* 20世纪20年代，薛定谔在此基础上发展，在颜色感知的黎曼模型中定义了色调、饱和度和亮度，使用了一种描述人们如何感知颜色差异的度量。 * **Paragraph 7 (HTML tag):** ` ` -> Keep as is? The prompt says "translate the following content". Usually, HTML tags are structural. I should probably ignore them or keep them if they are part of the content structure requested. The prompt asks to translate the *content*. I will output the text. If I include the HTML tags, it might look messy, but if the user provided HTML, they might want the structure preserved. However, the instruction says "translate the following content", usually implying the text. But looking at the output format of similar tasks, preserving HTML structure is safer if it's a web snippet. Let's look at the prompt again. "Please translate the following content". It contains HTML tags. I will retain the HTML tags to ensure the format matches the input, just translating the text inside. * **Paragraph 8 (Heading):** * *Source:* "Fixing a Century Old Mathematical Gap" * *Draft:* 修正一个世纪之久的数学缺口 / 填补百年来的数学空白. "Gap" usually translates to 空白 or 缺口. "Fixing" implies filling or correcting. "填补...空白" is a very standard Chinese phrase for scientific gaps. Let's use "填补百年来的数学空白". * **Paragraph 9:** * *Source:* "Schrödinger's definitions have shaped color science for roughly 100 years." * *Draft:* 薛定谔的定义塑造了色彩科学大约100年。 * *Source:* "But while the Los Alamos team was developing algorithms for scientific visualization, they found that the mathematics behind the model had important weaknesses." * *Key terms:* algorithms (算法), scientific visualization (科学可视化), weaknesses (弱点/缺陷). * *Draft:* 但当洛斯阿拉莫斯团队开发科学可视化算法时，他们发现该模型背后的数学原理存在重大缺陷。 * **Paragraph 10:** * *Source:* "The biggest problem involved the neutral axis, the line of grays that runs from black to white." * *Key terms:* neutral axis (中性轴), line of grays (灰度线/灰色线). * *Draft:* 最大的问题涉及中性轴，即从黑色延伸到白色的灰色线。 * *Source:* "Schrödinger's definitions of hue, saturation, and lightness depend on where a color sits in relation to that axis, yet he never formally defined the axis itself." * *Draft:* 薛定谔对色调、饱和度和亮度的定义 其中一个涉及贝佐德-布吕克效应（Bezold-Brücke effect），这是一种改变光强会使颜色看起来发生色调偏移的现象。研究人员通过在其颜色感知几何模型中使用最短路径来解决这一问题，而不是依赖简单的直线。

 

他们还在非黎曼空间中使用了最短路径，以解释颜色感知中的收益递减现象，这是旧方法未能完全捕捉到的另一种效应。

为什么颜色感知很重要

这项研究在欧洲图形学可视化会议上发表，并建立在洛斯阿拉莫斯一个更广泛的颜色感知项目基础之上。该项目还在《美国国家科学院院刊》上发表了一篇具有突破性的2022年论文。

一个更精确的颜色感知模型在依赖准确颜色的领域可能具有广泛的价值，包括摄影、视频、可视化及相关技术。它还可以改善科学家创建和解读视觉数据的方式。

科学可视化在帮助研究人员理解复杂信息方面发挥着重要作用。更好的颜色模型可以支持许多领域更有效的分析，包括国家安全科学。

该团队的工作现在为未来非黎曼空间中的颜色建模奠定了基础。

资助：这项工作得到了洛斯阿拉莫斯实验室定向研究与开发计划以及国家核安全管理局先进模拟与计算计划的支持。