Color edge preserving image colorization with a coupled natural vectorial total variation

Abstract

In this paper, a novel colorization model based on the natural vectorial total variation TVJ is proposed. TVJ supports a common edge direction for all channels, it leads to a better preservation of color edges. We give the existence of the minimizer of the proposed model and use the primal–dual algorithm to numerically solve this model. Experiment results both on structure images and texture images show that the proposed model can preserve the contours well and reduce color bleeding effects at edges compared with the known methods.