Scaling techniques for gradient projection-type methods in astronomical image deblurring

Bonettini, Silvia; Landi, G.; Loli Piccolomini, E.; Zanni, Luca

doi:10.1080/00207160.2012.716513

The aim of this paper is to present a computational study on scaling techniques in gradient projection-type (GP-type) methods for deblurring of astronomical images corrupted by Poisson noise. In this case, the imaging problem is formulated as a non-negatively constrained minimization problem in which the objective function is the sum of a fit-to-data term, the Kullback–Leibler divergence, and a Tikhonov regularization term. The considered GP-type methods are formulated by a common iteration formula, where the scaling matrix and the step-length parameter characterize the different algorithms. Within this formulation, both first-order and Newton-like methods are analysed, with particular attention to those implementation features and behaviours relevant for the image restoration problem. The numerical experiments show that suited scaling strategies can enable the GP methods to quickly approximate accurate reconstructions and then are useful for designing effective image deblurring algorithms.

Data di pubblicazione:	2013
Titolo:	Scaling techniques for gradient projection-type methods in astronomical image deblurring
Autore/i:	Bonettini, Silvia; G., Landi; E., Loli Piccolomini; Zanni, Luca
Autore/i UNIMORE:	BONETTINI, Silvia G. Landi E. Loli Piccolomini ZANNI, Luca mostra contributor esterni nascondi contributor esterni
Digital Object Identifier (DOI):	10.1080/00207160.2012.716513
Rivista:	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume:	90
Pagina iniziale:	9
Pagina finale:	29
Codice identificativo ISI:	WOS:000313782200002
Codice identificativo Scopus:	2-s2.0-84873304643
Citazione:	Scaling techniques for gradient projection-type methods in astronomical image deblurring / Bonettini, Silvia; G., Landi; E., Loli Piccolomini; Zanni, Luca. - In: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. - ISSN 0020-7160. - STAMPA. - 90(2013), pp. 9-29.
Tipologia	Articolo su rivista

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http://hdl.handle.net/11380/887689

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