The linear relationship between the spectral response functions (SRFs) of a three‐colour response system and the set of the corresponding colour matching functions (CMFs) for a particular set of primaries, in the form of three simultaneous equations, is the principal fundamental approach adopted in this article in determining the characteristics of the former. After reviewing, evaluating, and where necessary processing the three sets of 2° field CMFs derived by the historic researchers, Guild, Wright, and Stiles & Burch, they were used with three sets of CMFs to SRFs transforms with adjustable matrix coefficients, respectively, to provide three closely matched sets of SRFs. These close matches then formed the basis for the three sets of potential human visual system (HVS) SRFs, which with three further transforms, whose coefficients are based upon the response of the SRFs at the primary wavelengths, then generate, respectively, a close match to each of the historic sets of CMFs. The precept adopted is that given the relative trichromatic sensitivity of the HVS SRFs and a set of three spectral primaries of defined wavelength and known luminosities, a mathematical relationship may be derived between them that produces a corresponding set of CMFs related to the wavelengths of the primaries selected. In an ideal situation then the three sets of SRFs obtained which each produce a match of the derived CMFs to the original CMFs, should also produce a match with each other and represent the SRFs of the HVS. The same procedure was also applied to the Stiles & Burch 10° SMFs to obtain a 10° version of the HVS SRFs. This article outlines the structure of the mathematical tool evolved and the design of the spreadsheet used to derive and build the various relationships, together with the reasoning for each of the steps in the process. The resulting tool is then used with processed forms of the CMFs of the historic researchers, to show that, within the limits of the experimental errors of the original works, the resulting derived CMFs compare favorably with those originally established by experiment, and furthermore, the three associated individual sets of SRFs match, providing strong evidence that they do indeed represent the SRFs of the human vision system.

中文翻译：

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直接从色彩匹配功能中利用比色关系来表征人类视觉系统的光谱响应功能

主要的基本方法是，三色响应系统的光谱响应函数（SRF）与一组特定原色的一组对应色匹配函数（CMF）之间的线性关系是三个联立方程式。在确定前者的特征时采用了本文。在审查，评估并在必要时处理由历史研究人员得出的三组2°场CMF ，Guild，Wright和Stiles＆Burch，分别将它们与三组CMF转换为具有可调矩阵系数的SRF变换，以提供三组紧密匹配的SRF。然后，这些紧密匹配为三组潜在的人类视觉系统（HVS）SRF奠定了基础，并对其进行了三个进一步的转换，其系数基于主波长下SRF的响应，然后分别生成紧密匹配到每组历史悠久的CMF。所采用的原则是，给定HVS SRF的相对三基色灵敏度以及一组定义的波长和已知光度的三个光谱原色，可以在它们之间得出数学关系，从而产生与原色波长相关的一组CMF。已选择。在理想情况下，那么所获得的三组SRF分别产生派生CMF与原始CMF的匹配，也应彼此产生匹配，并代表HVS的SRF。Stiles＆Burch 10°SMF也采用了相同的步骤，以获得HVS SRF的10°版本。本文概述了所发展的数学工具的结构以及用于导出和建立各种关系的电子表格的设计，以及过程中每个步骤的推理。然后将生成的工具与历史研究人员的CMF的处理形式一起使用，以表明，在原始作品的实验误差范围内，生成的CMF与通过实验最初建立的CMF相比具有优势，并且，