2016/05/12 by Araújo, A., Barbeiro, S., Cuesta, E. +1
#35K55 #35K61 #68U10 #94A08 #94A12 #Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.1605.03721
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. \keywordsCross-diffusion \and Complex diffusion \and Image restoration