Reconstruction of spectral information based on multi‐channel image system is a significant problem in color reproduction, detection, and recognition. A spectral radiance reconstruction from trichromatic digital camera responses is researched in this article. The mapping relationship between the trichromatic imaging system response and the incident spectral radiance is analyzed. Then, in order to remove the ill‐posedness of the problem, a regularized constraint solution model of spectral radiance reconstruction matrix is established. And the spectral radiance can be reconstructed by spectral radiance reconstruction matrices and trichromatic imaging system response. Finally, the spectral radiance reconstruction matrix is estimated by the system radiometric calibration experiment. The input radiance is offered by a LCD display. A 3‐factor and 9‐level orthogonal test is designed for the calibration experiment, and a test set of 24 colors is used for precision analysis. The results show that the average relative mean error of our method is 8.69%, it is lower than that of Wiener filtering method by 2.84%. The method can reconstruct spectral radiance information effectively.

中文翻译：

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基于正交测试和正则化算法的三色相机响应光谱辐射亮度重构

基于多通道图像系统的光谱信息重构是色彩再现，检测和识别中的重要问题。本文研究了基于三色数码相机响应的光谱辐射重建。分析了三色成像系统响应与入射光谱辐射率之间的映射关系。然后，为了消除问题的不适性，建立了光谱辐射重建矩阵的正则化约束解模型。并且可以通过光谱辐射率重建矩阵和三色成像系统响应来重建光谱辐射率。最后，通过系统辐射定标实验估计光谱辐射重建矩阵。输入辐射度由LCD显示屏提供。为校准实验设计了3因子和9层正交测试，并使用24种颜色的测试集进行精度分析。结果表明，该方法的平均相对平均误差为8.69％，比维纳滤波法的平均相对误差低2.84％。该方法可以有效地重建光谱辐射率信息。