Galbraith W, Marshall P N
Acta Histochem. 1985;77(1):79-100. doi: 10.1016/S0065-1281(85)80020-9.
Surveys are presented of the published data on colour matching, and of the published transforms of the CIE 1931 chromaticity diagram. All transforms are given in the form of standardized equations and tables of coefficients. Both linear and non-linear transforms are considered, although the latter are given special attention. The concept of a uniform chromaticity space (UCS) is discussed, and the published transforms are assessed for uniformity using the colour matching data. 2 series of new, non-linear transforms are presented, both based on 2-dimensional polynomial equations, and both derived using iterative optimization techniques. The 1st series attempts to approximate Farnsworth's (1961) diagram. The 2nd uses Nutting's colour matching points directly. The coefficients of these transforms are tabulated. It was found that increasing the number of coefficients in the 2-dimensional polynomial, beyond 15 each for x and y, does little to increase the uniformity of the resulting transform. The usefulness of UCS's in assessing stain performance is illustrated by examples drawn from the areas of azure B/eosin staining of blood cells and Papanicolaou staining of epithelial cells from the uterine cervix.
本文给出了已发表的关于颜色匹配的数据以及CIE 1931色度图的已发表变换的综述。所有变换均以标准化方程和系数表的形式给出。文中考虑了线性变换和非线性变换，不过对后者给予了特别关注。讨论了均匀色度空间（UCS）的概念，并利用颜色匹配数据评估已发表变换的均匀性。给出了2组新的非线性变换，均基于二维多项式方程，且均采用迭代优化技术推导得出。第一组变换试图逼近法恩斯沃思（1961年）的色度图。第二组变换直接使用纳廷的颜色匹配点。列出了这些变换的系数。结果发现，在二维多项式中，将x和y的系数数量增加到超过15个，对提高所得变换的均匀性作用不大。通过血细胞的天青B/伊红染色以及子宫颈上皮细胞的巴氏染色等领域的实例，说明了均匀色度空间在评估染色性能方面的作用。
