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

作者：Morigi S; Reichel L^*; Sgallari F

来源：Numerical Algorithms, 2010, 53(1): 1-22.

DOI：10.1007/s11075-009-9282-3

• Ill-posed problem
• Multilevel method
• Noise-reduction

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.

• 出版日期2010-1