染料拼色反射光谱的Bezier曲线建模方法

将单一染料染色反射光谱表示成由控制点和Bernstein基组成的Bezier曲线,分析单一染料质量分数与对应的Bezier曲线控制点之间的关系,建立单一染料染色反射光谱与染料质量分数的参数方程.根据多种染料拼色的机理,将多个单一染料染色的反射光谱Bezier曲线进行叠加,得到多种染料拼色的反射光谱Bezier曲线,并通过实际染色实验验证该方法的准确性.结果表明:当拼色染料的种类、质量分数和织物种类已知时,文中方法可以确定单一染料染色及拼色染色后布匹的反射光谱Bezier曲线和三刺激值,并预测布匹染色后与目标色的色差.

Bezier Curve Modeling Method of Reflectance Spectra of Dye Color Matching

The reflection spectrum of a single dye is represented a Bezier curve composed of control points and Bernstein groups, the relationship between the mass fraction of a single dye and the corresponding control point of the Bezier curve is also analyzed, and the parameter equation of the reflection spectrum of the single dying and the mass fraction of the dye is established. According to the mechanism of the color matching of multiple dyes, furthermore, the reflection spectrum Bezier curves of several single dyes are superimposed to obtain the reflection spectrum Bezier curves of multiple dyes, the accuracy of this method is verified by actual dyeing experiments. The results show the proposed method can determine the Bezier curve of the reflectance spectrum and tristimulus value of single dye dyed and color matching dyed cloth, and predict the color difference between dyed cloth and target color.