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Regolarizzazione di Tikhonov di problemi mal-posti mediante spline cubiche

Puccio, Luigia and Lazzaro, Damiana (1990) Regolarizzazione di Tikhonov di problemi mal-posti mediante spline cubiche. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 68. pp. 229-241.

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Abstract

In this work Tikhonov regularization with cubic splines for ill-posed problems has been described and applied to the real problem of image restoration. In order to determine the optimum regularization parameter, of this polynomial regularizator, we use a new Monte Carlo Cross-Validation procedure, that permits the use of the Generalized Cross-Validation method with a workload similar to the standard residual method for large least square problems with noisy data. We compute the minimum of the GCV function by the iterative golden section search scheme, that implics the solution of a linear system for each iteration.

Item Type: Article
Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1990
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1990
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1990
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1990
Depositing User: Dr M P
Date Deposited: 03 Oct 2012 10:19
Last Modified: 22 Jan 2013 11:10
URI: http://cab.unime.it/mus/id/eprint/871

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