Knoblauch K
Vision Research Laboratory, Lighthouse Inc, New York, New York 10017.
J Opt Soc Am A. 1993 Feb;10(2):378-81. doi: 10.1364/josaa.10.000378.
Many theories of color discrimination predict a discontinuity in the wavelength-discrimination function of a tritanope at the point in the spectrum at which the rate of change of the visual signal constrained to an equiluminant plane passes through zero (near 460 nm). The predicted discontinuity follows from the use of a first-order approximation for which the reciprocal of the slope of the response function that generates the visual signal is proportional to the discrimination limen. In view of the good discrimination shown by such observers elsewhere in the spectrum, however, such a singularity is impossible. I show that the inclusion of the higher-order terms produces a finite value in the 460-nm region that falls in the range of values from the literature that have been obtained experimentally.
许多颜色辨别理论预测，在光谱中某一点上，蓝黄色盲者的波长辨别函数会出现不连续性，在该点处，受限于等亮度平面的视觉信号变化率会通过零点（接近460纳米）。这种预测的不连续性源于使用了一阶近似，对于该近似，产生视觉信号的响应函数斜率的倒数与辨别阈限成正比。然而，鉴于此类观察者在光谱其他位置表现出的良好辨别能力，这样的奇点是不可能的。我表明，纳入高阶项会在460纳米区域产生一个有限值，该值落在从文献中通过实验获得的值的范围内。
