A well‐known color characterization method is to take an image of a color chart and then to find the mapping matrix from the digital RGBs to the corresponding known CIEXYZs. However, the prediction errors are generally large in CIELAB color space because of the nonlinear transformation from CIEXYZs to CIELABs. In this article, we propose an efficient and simple nonlinear method for the color characterization of input devices. The approach for deriving a colorimetric mapping between digital RGB signals and CIELAB tristimulus values uses the polynomial modeling by considering the interrelations among the standard CIE color spaces. Furthermore, to improve the accuracy of solution, we take the polynomial root terms extension. Our algorithm is simple to implement because only a least‐squares mapping should be solved. Various computational results are given to demonstrate the efficiency and capability of the proposed method.

中文翻译：

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一种基于色空间相关性的高效非线性多项式颜色表征方法

一种众所周知的颜色表征方法是拍摄色卡图像，然后找到从数字RGB到对应的已知CIEXYZ的映射矩阵。但是，由于从CIEXYZ到CIELAB的非线性转换，在CIELAB颜色空间中的预测误差通常很大。在本文中，我们提出了一种有效且简单的非线性方法来对输入设备进行颜色表征。推导数字RGB信号和CIELAB三色值之间的比色映射的方法通过考虑标准CIE颜色空间之间的相互关系，使用多项式建模。此外，为了提高解的准确性，我们采用多项式根项扩展。我们的算法易于实现，因为只应解决最小二乘映射。