Cross-diffusion systems for image processing: I. The linear case
  The use of cross-diffusion systems as mathematical models of different image processes is investigated. The present paper is concerned with linear filtering. First, those systems satisfying the most important scale-space properties are identified. Then a numerical study on the effect of cross-diffusion in filtering problems is presented. 
A. Araujo, S. Barbeiro, E. Cuesta, A. Duran
math.AP