Inter-channel relation based vectorial total variation for color image recovery

The regularization terms play an important role for solving various color image recovery problem via convex optimization algorithms. Recently, the decorrelated vectorial total variation (D-VTV) is proposed as such a regularizer. The D-VTV decorrelates RGB-color channels by using 3-point DCT. However, we reveal that some relations still exist among decorrelated color channels. In this paper, we proposed a new convex regularization term named inter channel relation based vectorial total variation (IC-VTV) and its higher order extension for utilizing the relationship between decorrelated color channels. Experimental results show that our proposed prior can outperform the conventional methods.