IJPAM: Volume 49, No. 3 (2008)
ILL-POSED PROBLEMS IN IMAGING
Department of Mathematics
University of Bologna
Via Zamboni, Bologna, 33-40126, ITALY
Abstract.The analysis of inverse ill posed problems, modeled by Fredholm first kind integral equations, is performed by means of the linear compact operator theory. The regularization methods are introduced by means of the singular value expansion.
The Tikhonov regularization method is developed to treat discrete problems
arising in the area of image reconstruction. Some examples are reported
in the numerical results section.
Received: August 14, 2008
AMS Subject Classification: 65R32, 45B05, 45Q05
Key Words and Phrases: ill-posed problems, regularization methods, Tikhonov method, image restoration
Source: International Journal of Pure and Applied Mathematics