基于约束Kubelka-Munk模型与梯度局部优化算法耦合的色剂配色方法
Colorant Formulation Method on Coupling of Constrainted Kubelka-Munk Model and Local Gradient-Based Optimization Algorithm
董洪荣 1付亚军 1张帅 1余亚强 2陈军 2谢德红3
作者信息
- 1. 江苏劲嘉新型包装材料有限公司,淮安 223005
- 2. 湖北强大包装实业有限公司,红安 438400
- 3. 南京林业大学 信息科学技术学院,南京 210037
- 折叠
摘要
针对人工实现快速、准确的色剂配色非常困难的问题,本研究提出了一个基于约束Kubelka-Munk模型与梯度局部优化算法耦合的色剂配色方法,实现涂料和印刷行业半透明和不透明色剂的配方预测.在此方法中,先利用梯度局部优化算法求解在基色色剂和冲淡剂混合基础上的目标函数,计算出基色色剂的吸收系数(K)和散射系数(S).然后,为了实现任意目标色剂中基色色剂的混合配比,利用基色色剂与冲淡剂的吸收系数与散射系数物理属性对Kubelka-Munk模型进行约束,并通过最小化目标色剂与基色色剂之间的吸收系数与散射系数比值,构建了约束Kubelka-Munk模型,用于预测半透明着色剂和不透明色剂的配方.配方差、光谱反射率差,以及色差的实验结果表明,与传统的Kubelka-Munk模型相比,该方法建立的模型预测混色效果更优.
Abstract
In response to the difficulty of achieving fast and accurate colorant formulation manually,a colorant formulation method based on the coupling of the constrained Kubelka-Munk model and the gradient-based local optimization algorithm was proposed to achieve predictive color recipe of semi-transparent and opaque colorants in the coatings and printing industry.In this method,the gradient local optimization algorithm was first used to solve the objective function based on the mixture of primary colors and transparent white,and the absorption coefficient(K)and scatter coefficient(S)of the primary colors were calculated.Kubelka-Munk model was then constrained by the physical properties of the absorption and scattering coefficients of the primary colors and transparent white to obtain the mixing ratio of the primary color for each target color.By minimizing the ratio of the absorption and scattering coefficients between the target color and the primary colors,a constrained Kubelka-Munk model was constructed to predict the formulation of semitransparent and opaque colors.The experimental results of formula difference,spectral reflectance difference,and color difference showed that the model established by this method has a better predictive effect on color mixing compared with the traditional Kubelka-Munk model.
关键词
色剂配方/Kubelka-Munk理论/基于剃度的局部优化/半透明色剂/不透明色剂Key words
Colorant formulation/Kubelka-Munk theory/Gradient-based local optimization/Semitransparent colorant/Opaque colorant引用本文复制引用
出版年
2024
NETL
NSTL
万方数据