This paper presents a method for developing color-difference models near a threshold, based on the serial exploration method described by Torgerson [Theory and Methods of Scaling; Wiley & Sons (1958); Chap. 7], involving the construction of color-control strips of patches arranged in arrays of 2 × n, where n is the number of pairs in the strip. The patches in the lower row should be calorimetrically identical, while the color of the patches in the upper row should vary progressively in constant steps of CIELAB color difference along selected color space vector directions. Prospective observers are instructed to indicate the patch pair number for which they begin to perceive a slight color difference between corresponding patches. The frequency data obtained from the observers was used to build a threshold color-difference model. The intention was to validate the method with theoretical data to determine the effect of the precision with which the strips are constructed, on the accuracy of the estimated parameters. Theoretical frequency data was generated using the CIE94 color difference formula, whose associated color discrimination ellipsoid parameters are very easy to determine, associated with a hypothetical logistic psychometric curve for different color centers. The proposed method allows to determine color discrimination parameters with a precision nearby 4% and an accuracy of 3% with respect to the simulated theoretical parameters, for color samples generated with a standard deviation of $\Delta E_{ab}^\ast{=} 0.2$ of the superimposed error around the ideal color difference of pairs of patches.

中文翻译：

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建立阈值色差模型的带对比较方法：理论模型验证。

本文基于Torgerson所描述的串行探索方法[缩放理论与方法；Wiley＆Sons（1958）；小伙子 [7]，涉及以2×n的阵列排列的色块的颜色控制条的构造，其中n是条中的对数。下一行中的色块应在量热上是相同的，而上一行中的色块的颜色应沿着CIELAB色差的恒定步长沿选定的颜色空间矢量方向逐渐变化。指导预期的观察者指出补丁对编号，以便他们开始感知相应补丁之间的轻微色差。从观察者获得的频率数据用于建立阈值色差模型。目的是用理论数据验证该方法，以确定带钢构造精度对估计参数精度的影响。理论频率数据是使用CIE94色差公式生成的，该公式的关联颜色判别椭球参数非常容易确定，并与不同色心的假设逻辑Logistic心理测量曲线相关联。所提出的方法允许针对标准偏差为的颜色样本，以4％的精度和3％的模拟理论参数精度确定颜色辨别参数。理论频率数据是使用CIE94色差公式生成的，该公式的关联颜色判别椭球参数非常容易确定，并与不同色心的假设逻辑Logistic心理测量曲线相关联。所提出的方法允许针对标准偏差为的颜色样本，以4％的精度和3％的模拟理论参数精度确定颜色辨别参数。理论频率数据是使用CIE94色差公式生成的，该公式的关联颜色判别椭球参数非常容易确定，并与不同色心的假设逻辑Logistic心理测量曲线相关联。所提出的方法允许针对标准偏差为的颜色样本，以4％的精度和3％的模拟理论参数精度确定颜色辨别参数。围绕拼块对的理想色差周围的误差的$ \ Delta E_ {ab} ^ \ ast {=}。