Generalized Solution of Linear Systems and Image Restoration

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• 作者：Aluffi Pentini ; F. ; Castrignanò ; T. ; Maponi ; P. ; Parisi ; V. ; Zirilli ; F.
• 刊名：Journal of Optimization Theory and Applications
• 出版年：1999
• 出版时间：1999
• 年：1999
• 卷：103
• 期：1
• 页码：45-64
• 全文大小：1,002 KB

文摘

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.