In recent years, there is a growing demand for high-quality color imaging of digital media art (DMA) images, along with the proliferation of smart mobile terminals and the Internet technology. However, the existing digital terminals cannot transmit or reproduce the color of DMA images satisfactorily. This paper explores the key techniques of color management of highly dynamic color DMA images, aiming to evaluate the exact quality and acquire abundant details of these images. Firstly, five indices were designed to evaluate the quality of highly dynamic color DMA images, namely, peak signal-to-noise ratio (PSNR), mean square error (MSE), Pearson linear correlation coefficient (PLCC), Kendall rank correlation coefficient (KRCC), and Spearman's rank correlation coefficient (SRCC). The workflow of image quality judgement was also introduced. To correct the DMA images under nonstandard illumination, a color correction method was proposed based on Retinex algorithm. In addition, a color reconstruction method was developed based on nonlocal Laplace energy function, solving the invalid and missing regions of single-frame color images. Finally, the effectiveness of our color management method was proved through experiments. The research results provide a reference for image quality valuation and color management in other fields.