Kubelka-Munk理论及其在混合矿物颜料配色中的应用

Kubelka-Munk Theory and Its Application in Color Matching of Mixed Mineral Pigments

选取石青、石绿、水晶末3种矿物颜料,通过不同的比例将它们进行混合,并测量各混合颜料的光谱反射率。利用双常数Kubelka-Munk理论计算出3种颜料各自的吸收系数K和散射系数S的值,利用吸收系数和散射系数的加和性,通过计算机配色得到混合颜料理论上的光谱反射率值,并与前面直接测得的光谱反射率对比,计算其色差和均方根。同时,通过纯颜料的K/S值并利用其加和性进行计算机配色,得到单常数K-M理论配色后的K/S值,计算其对应的光谱反射率。再将单常数K-M理论配色后的光谱反射率与实际测量得到的光谱反射率进行对比,计算二者的色差和均方根,最后根据两组色差值和均方根评价单常数和双常数K-M理论在混合矿物颜料配色时的表现。结果表明,双常数K-M理论应用在3种颜料混合的情况时,能得到较为满意的配色结果。

Azurite,malachite green,and crystal were selected to get mixed with different ratios so as to measurethe spectrum reflectance of the mixtures.The absorption coefficient K and scattering coefficient S value of three kindsof pigments were calculated individually based on double constant K-M theory.Then through computer color matching,the theoretical values of the color reflectance of mixed pigments were obtained owing to the additive property of theabsorption coefficient and scattering coefficient.Compared with the former values of spectral reflectance from directmeasurement,the color difference and RMS calculation could be worked out.At the same time,single K-M constanttheory after pigment matching was conducted by means of computer color matching assisted by k/s values of the purepigment so as to calculate the corresponding spectral reflectance values.By comparing the spectral reflectance ofsingle color K-M theory and that from actual measurement,the color difference and RMS were calculated.At last,evaluation of the results of single and dual constant K-M theory of color matching was carried out,in which a relativelysatisfactory result was obtained when dual constant K-M theory was used in the case of mixing three kinds of pigments.