最小误差平均值拟合在织物染色计算机配色中的应用研究

Research on Application of The Smallest Error Average Fitting Algorithm in Computer Color Matching for Textile Dyeing

为了得到布料颜色与染料浓度的关系,根据实际测量所得的RGB数据与染料浓度的关系,建立RGB数据与染料浓度的数学模型,利用最小误差平均值拟合求出RGB值关于染料浓度的关系方程组,再利用牛顿迭代法求解所得方程。将实际测量所得方程的RGB值带入方程求解不同染料的浓度,结果表明,求出的RGB值与实际测量的RGB值之间的误差在允许范围之内。说明最小误差平均值拟合法能够较好的解决计算机染色配色的问题,达到实际应用的目的。

In order to get the prediction of the dye concentration on the value of fabric color, this paper establishes the mathematical model of RGB value and dye concentration based on the measured data. Then the minimum error average fitting method is used to calculate the function to realize the prediction. The Newton iteration method is also used in solving the equation after the measured RGB data is substituted. Finally the dye concentration we need is found.