Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T07:35:48.076Z Has data issue: false hasContentIssue false

Scaled Gradient Projection Methods for Astronomical Imaging

Published online by Cambridge University Press:  13 March 2013

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
Get access

Abstract

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

Type
Research Article
Copyright
© EAS, EDP Sciences 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anconelli, B., Bertero, M., Boccacci, P., Carbillet, M., & Lanteri, H., 2006, A&A, 448, 1217
Arcidiacono, C., Diolaiti, E., Tordi, M., Ragazzoni, R., Farinato, J., Vernet, E., & Marchetti, E., 2004, Appl. Opt., 43, 4288 CrossRef
Bardsley, J.M., & Goldes, J., 2009, Inverse Probl., 25, 095005 CrossRef
Bardsley, J.M., & Luttman, A., 2009, Adv. Comput. Math., 31, 35 CrossRef
Barrett, H.H., & Meyers, K.J., 2003, Foundations of Image Science (Wiley and Sons, New York), 1047
Barzilai, J., & Borwein, J.M., 1988, IMA J. Numer. Anal., 8, 141 CrossRef
Benvenuto, F., La Camera, A., Theys, C., Ferrari, A., Lantéri, H., & Bertero, M., 2008, Inverse Probl., 24, 035016 CrossRef
Benvenuto, F., La Camera, A., Theys, C., Ferrari, A., Lantéri, H., & Bertero, M., 2012, Inverse Probl., 28, 069502 CrossRef
Benvenuto, F., Zanella, R., Zanni, L., & Bertero, M., 2010, Inverse Probl., 26, 025004 CrossRef
Bertero, M., & Boccacci, P., 2000, A&AS, 144, 181
Bertero, M., & Boccacci, P., 2005, A&A, 437, 369
Bertero, M., Boccacci, P., Talenti, G., Zanella, R., & Zanni, L., 2010, Inverse Probl., 26, 10500 CrossRef
Bertero, M., Boccacci, P., La Camera, A., Olivieri, C., & Carbillet, M., 2011, Inverse Probl., 27, 113001 CrossRef
Birgin, E.G., Martínez, J.M., & Raydan, M., 2000, SIAM J. Optimiz., 10, 1196 CrossRef
Birgin, E.G., Martínez, J.M., & Raydan, M., 2003, IMA J. Numer. Anal., 23, 539 CrossRef
Bonettini, S., Zanella, R., & Zanni, L., 2009, Inverse Probl., 25, 015002 CrossRef
Bonettini, S., & Prato, M., 2010, Inverse Probl., 26, 095001 CrossRef
Bonettini, S., & Ruggiero, V., 2011, Inverse Probl., 27, 095001 CrossRef
Bonettini, S., Landi, G., Loli Piccolomini, E., & Zanni, L., 2012, Intern. J. Comp. Math., in press, DOI: 10.1080/00207160.2012.716513
Brune, C., Sawatzky, A., & Burger, M., 2010, J. Computer Vision, 92, 211 CrossRef
Charbonnier, P., Blanc-Féraud, L., Aubert, G., & Barlaud, A., 1997, IEEE T. Image Process., 6, 298 CrossRef
Defrise, M., Vanhove, C., & Liu, X., 2011, Inverse Probl., 27, 065002 CrossRef
Dey, N., Blanc-Féraud, L., Zimmer, C., et al., 2006, Micros. Res. Techniq., 69, 260 CrossRef
Favati, P., Lotti, G., Menchi, O., & Romani, F., 2010, Inverse Probl., 26, 085013 CrossRef
Frassoldati, G., Zanni, L., & Zanghirati, G., 2008, J. Indust. Manag. Optim., 4, 299
Herbst, T.M., Ragazzoni, R., Andersen, D., et al., 2003, Proc. SPIE, 4838, 456 CrossRef
Hudson, H.M., & Larkin, R.S., 1994, IEEE T. Med. Imaging, 13, 601 CrossRef
Lantéri, H., Roche, M., & Aime, C., 2002, Inverse Probl., 18, 1397 CrossRef
Le, T., Chartran, R., & Asaki, T.J., 2007, J. Math. Imaging Vis., 27, 257 CrossRef
Loris, I., Bertero, M., De Mol, C., Zanella, R., & Zanni, L., 2009, Appl. Comput. Harmon. A., 27, 247 CrossRef
Lucy, L.B., 1974, AJ, 79, 745 CrossRef
Lucy, L.B., & Hook, R.N., 1992, ASP Conf. Series, 25, 277
Prato, M., Cavicchioli, R., Zanni, L., Boccacci, P., & Bertero, M., 2012, A&A, 539, A133
Richardson, W.H., 1972, J. Opt. Soc. Am., 62, 55 CrossRef
Ruggiero, V., Serafini, T., Zanella, R., & Zanni, L., 2010, J. Global Optim., 48, 145 CrossRef
Serafini, T., Zanghirati, G., & Zanni, L., 2005, Optim. Method Softw., 20, 353 CrossRef
Serafini, T., Zanella, R., & Zanni, L., 2010, Adv. Parallel Comput., 19, 59
Setzer, S., Steidl, G., & Teuber, T., 2010, J. Vis. Commun. Image R., 21, 193 CrossRef
Shepp, L.A., & Vardi, Y., 1982, IEEE T. Med. Imaging, 1, 113 CrossRef
Snyder, D.L., Hammoud, A.M., & White, R.L., 1993, J. Opt. Soc. Am., A10, 1014 CrossRef
Staglianò, A., Boccacci, P., & Bertero, M., 2001, Inverse Probl., 27, 125003 CrossRef
Vogel, C.R., 2002, Computational Methods for Inverse Problems (SIAM, Philadelphia)
Zanella, R., Boccacci, P., Zanni, L., & Bertero, M., 2009, Inverse Probl., 25, 045010 CrossRef
Zhou, B., Gao, L., & Dai, Y.H., 2006, Comput. Optim. Appl., 35, 69 CrossRef