研究了基于多元非线性回归模型的彩色扫描仪特征化方法，分析了多元回归的阶数以及输出色空间的选择对非线性多项式转换模型是否存在影响。研究表明：训练组样本特征优化随着阶数增加而增加，测试组样本在高阶数非线性回归下优化精度下降，多项式方程呈现病态，泛化能力下降；回归模型采用RGB到L*a*b*的转换比采用RGB到XYZ的转换，优化精度略高。结果说明，利用多元非线性回归模型可满足扫描仪特征化的精度要求。

The influence of order number and selection of color spaces on polynomial regression model was analyzed. Color scanner characterization method based on nonlinear polynomial regression model was studied. Experimental results showed that as the order number features increase, the characterizing precision on training results of the nonlinear polynomial regression increases and the precision of experimental results decline in the high order. Polynomial equation present ill, and its generalization ability drops; characterizing precision of the polynomial regression of RGB to CIE transformation is higher than RGB to XYZ. The results showed that polynomial regression model can satisfy the accuracy requirement of scanner characterization.