中文摘要：

本文在YCb Cr色彩空间机制下,结合目标灰度图像的梯度信息,提出基于耦合全变差的图像着色模型.然后,利用交替方向乘子算法（ADMM）,设计所提模型的快速数值求解算法,并给出了该算法的收敛性结果.最后,数值实验结果表明,该模型在快速着色的同时,能有效地防止颜色越界.

英文摘要：

Under the YCb Cr color space mechanism,we propose a coupled total variation model for image colorization by combining the gradient of target grayscale image. Then we design a fast algorithm to solve the proposed model numerically by incorporating the alternating direction method of multipliers（ ADMM） algorithm,and give the convergence results of the proposed algorithm. Finally,experimental results are reported,demonstrating that the proposed model can effectively prevent colors from crossing over the edges of the target grayscale image during fast colorization.