Generalized Solution of Linear Systems and Image Restoration

F. Aluffi-Pentini, T. Castrignanò, P. Maponi, V. Parisi and F. Zirilli
Additional contact information
F. Aluffi-Pentini: Università di Roma-La Sapienza
T. Castrignanò: Università di Roma-Tor Vergata
P. Maponi: Università di Camerino
V. Parisi: Università di Roma-Tor Vergata
F. Zirilli: Università di Roma-La Sapienza

Journal of Optimization Theory and Applications, 1999, vol. 103, issue 1, No 2, 45-64

Abstract: Abstract Let n, m be positive integers; we consider m×n real linear systems. We define regularized solutions of a linear system as the minimizers of an optimization problem. The objective function of this optimization problem can be seen as the Tikhonov functional when the p-norm is considered instead of the Euclidean norm. The cases p=1 and p=∞ are studied. This analysis is used to restore defocused synthetic images and real images with encouraging results.

Keywords: Linear programming problems; regularization procedures; image restoration (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1021717215386

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