Wuerger S M, Maloney L T, Krauskopf J
Department of Psychology, New York University 10003, USA.
Vision Res. 1995 Mar;35(6):827-35. doi: 10.1016/0042-6989(94)00170-q.
We describe two tests of the hypothesis that human judgments of the proximity of colors are consistent with a Euclidean geometry on color matching space. The first test uses proximity judgments to measure the angle between any two intersecting lines in color space. Pairwise estimates of the angles between three lines in a plane were made in order to test the additivity of angles. Three different color proximity tasks were considered. Additivity failed for each of the three proximity tasks. Secondly, we tested a prediction concerning the growth of the variability of judgments of similarity with the distance between the test and reference stimuli. The Euclidean hypothesis was also rejected by this test. The results concerning the growth of variability are consistent with the assumption that observers use a city-block metric when judging the proximity of colored lights.
人类对颜色接近程度的判断与颜色匹配空间上的欧几里得几何一致。第一项测试使用接近程度判断来测量颜色空间中任意两条相交线之间的夹角。为了测试角度的可加性，对平面中三条线之间的夹角进行了两两估计。考虑了三种不同的颜色接近任务。这三种接近任务中的每一种都未通过可加性测试。其次，我们测试了一个关于相似度判断变异性随测试刺激与参考刺激之间距离增长的预测。该测试也否定了欧几里得假设。关于变异性增长的结果与观察者在判断彩色灯光的接近程度时使用街区度量这一假设一致。
