Noise-reducing cascadic multilevel methods for linear discrete ill-posed problems

Cascadic multilevel methods for the solution of linear discrete ill-posed problems with noise-reducing restriction and prolongation operators recently have been developed for the restoration of blur- and noise-contaminated images. This is a particular ill-posed problem. The multilevel methods were found to determine accurate restorations with fairly little computational work. This paper describes noise-reducing multilevel methods for the solution of general linear discrete ill-posed problems. Key words. ill-posed problem, multilevel method, noise-reduction

• Type: Journal
• Year: 2010
• Where: NA
• Authors: Serena Morigi, Lothar Reichel, Fiorella Sgallari
• Keywords: Discrete Ill-posed Problems, Ill-posed Problem, Multilevel Method, NA 2010