In this paper the use of nonlinear cross-diffu\-sion systems to model image restoration is investigated, theoretically and numerically. In the first case, well-posedness, scale-space properties and long time behaviour are analyzed. From a numerical point of view, a computational study of the performance of the models is carried out, suggesting their diversity and potentialities to treat image filtering problems. The present paper is a continuation of a previous work of the same authors, devoted to linear cross-diffusion models. \keywords{Cross-diffusion \and Complex diffusion \and Image restoration}
@article{arxiv.1605.03721,
title = {Cross-diffusion systems for image processing: II. The nonlinear case},
author = {A. Araújo and S. Barbeiro and E. Cuesta and A. Durán},
journal= {arXiv preprint arXiv:1605.03721},
year = {2017}
}