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Generalized Solution of Linear Systems and Image Restoration (1999)

Aluffi-Pentini, F. ; Castrignanò, T. ; Maponi, P. ; [et al.]

Springer

Journal of optimization theory and applications 103 (1999), S. 45-64

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ISSN: 1573-2878

Keywords: Linear programming problems ; regularization procedures ; image restoration

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1021717215386

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