目的 研究 L*a*b*到 CMYK 颜色空间转换建模的思路及方法。方法 在平面方程理论的基础上， 按照K取特征值的思路， 在 Matlab中采用拟合等方法， 求出四色平面方程的相关系数， 建立色空间转换的数学模型。结果 实现了L*a*b*到CMYK的颜色转换， 并根据模型输出了图像， 通过计算色差验证了模型精度达到要求。结论 该模型具有结构相对简单、 运算速度较快的特点， 对于颜色空间转换的研究有一定的参考和借鉴意义。

Objective To study color space conversion model and methods from L*a*b* to CMYK. Methods In this paper, on the basis of the theory of the plane equation, according to the thought that K equaled to a given value, by adopting the method of fitting in Matlab, the correlation coefficients of four color plane equations were obtained, finally the mathematical model from L*a*b* to CMYK color space was established. Results The color space conversion model from L*a*b* to CMYK was realized, and it could output images based on the model, at the same time, the color difference range was verified to be reasonable. Conclusion The structure of the model was relatively simple and the speed of computing was fast. This paper discussed the model and methods from L*a*b* to CMYK ,which could provide reference for the study of color space conversion.