准直照明下Atherton理论的修正

MODIF ICATION OF ATHERTON THEORY ALLOWING FOR COLLIMATED ILLUMINATION

本文纠正了Atherton理论中的错误,导出了在准直照明条件下色料反射率R_∞与吸收系数和散射系数之比(K/S)的关系——CI函数。K-M函数、Atherton函数和CI函数在色料反射率R_∞不是很大时,都主要是反射率的反商函数。假设染料的散射可忽略,那么他们都与染料浓度存在线性关系,因此在单常数配色时,染料强度评价和颜色深度评价时,都能得到相同的结果。

The mistakes in atherton theoru are corrected. The relation between the reflectance of colorant and the ratio of the absorption coefficient to the scattering coefficient of a colorant is derived (CI function). Atherton function, K-M function and CI function are essentially reciprocal functions of reflectance for all but large values of R_∞. They are linearly related to dye concentration if it is assumed that scattering by the dye is negligible. Therefore, the same results are obtained applying to color matching with single constant, assessment of dye strength and assessment of shade depth.