基于分段数值分析和多项式拟合的织物染料配色研究

Research on Numerical Analysis Method for Color Matching in Textile Dyeing Based on Polynomial Curve Fitting

为了克服传统配色的诸多缺陷,提高配色速度和精度,本文将分段数值分析和多项式拟合的思想引入到织物的配色染色过程中。以色彩混合原理及理论为基础,分析和处理大量的实验数据,并以Matlab数学工具箱为建模辅助工具,阐述了在计算机配色过程中不同染料浓度与染色小样的三刺激值C,M,Y之间的数学关系。经过大量的数学验证,应用上述方法建立的数学关系模型,其绝对误差大多数在±5.0%以内,效果比较理想,可以应用到实际的织物染色生产中。

The theory of numerical analysis and polynomial fitting is introduced into the process of dyed sample and dye concentration in order to overcome the defects of the traditional dyeing process, and im prove the speed and accuracy. Based on the theory of color mixing, the paper analyzes and processes a large number of experimental data, uses the Matlab mathematical toolbox as the modeling aided tool to e- laborate the mathematical relationship between the different concentrations of dyeing sample and tristimu- lus values C,M and Y. According to a number of mathematical verification, the mathematical model error is small, the data is accurate, and it can be applied to the production of the actual dyeing.