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Scaled Gradient Projection Methods for AstronomicalImaging

Published online by Cambridge University Press:  13 March 2013

M. Bertero ,
P. Boccacci ,
M. Prato  and
L. Zanni
M. Bertero
Affiliation:
DIBRIS, Università di Genova, via Dodecaneso 45, 16146 Genova, Italy
P. Boccacci
Affiliation:
DIBRIS, Università di Genova, via Dodecaneso 45, 16146 Genova, Italy
M. Prato
Affiliation:
DISFIM, Università di Modena e Reggio Emilia, via Campi 213/b, 41125 Modena, Italy
L. Zanni
Affiliation:
DISFIM, Università di Modena e Reggio Emilia, via Campi 213/b, 41125 Modena, Italy
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Abstract

We describe recently proposed algorithms, denoted scaled gradient projection(SGP) methods, which provide efficient and accurate reconstructions ofastronomical images. We restrict the presentation to the case of data affected by Poissonnoise and of nonnegative solutions; both maximum likelihood and Bayesian approaches areconsidered. Numerical results are presented for discussing the practical behaviour of theSGP methods.

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