Abstract
The reconstruction of images from a small number of projections using the maximum-entropy method (MEM) with the Shannon entropy is considered. MEM provides higher-quality image reconstruction for sources with extended components than the Högbom CLEAN method, which is also used in low-aspect astrotomography. The quality of image reconstruction for sources with mixed structure containing bright, compact features embedded in a comparatively weak, extended base can be further improved using a difference-mapping method, which requires a generalization of MEM for the reconstruction of sign-variable functions. We draw conclusions based on the results of numerical simulations for a number of model radio sources with various morphologies.
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References
G. Hermen, Image Reconstruction from Projections (Academic, New York, 1980; Mir, Moscow, 1983).
S. Hoener, Astrophys. J. 140, 65 (1964).
F. P. Maloney and S. T. Gottesman, Astrophys. J. 234, 485 (1979).
M. I. Agafonov, V. P. Ivanov, and O. A. Podvoiskaya, Astron. Zh. 67, 549 (1990) [Sov. Astron. 34, 275 (1990)].
T. R. Marsh and K. Horne, Mon. Not. R. Astron. Soc. 235, 269 (1988).
T. R. Marsh and K. Horne, Astrophys. J., 364, 637 (1990).
T. R. Marsh, astro-ph/0011020 vl (2000).
M. I. Agafonov, O. I. Sharova, and M. T. Richards, Preprint No. 505, NIRFI (Radiophysical Research Institute, Nizhnii Novgorod State University, Nizhni Novgorod, 2006).
A. F. Kononov, Zarub. Radioélektron. No. 1, 35 (1991).
V. I. Koshelev, S. E. Shipilov, and V. P. Yakubov, Radiotekh. Elektron. 44, 301 (1999) [J. Commun. Technol. Electron. 44, 281 (1999)].
M. I. Agafonov and O. A. Podvoiskaya, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 32, 742 (1989).
M. I. Agafonov and O. A. Podvoiskaya, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 33, 1185 (1990).
M. I. Agafonov and O. I. Sharova, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 48, 367 (2005).
J. A. Högbom, Astron. Astrophys., Suppl. Ser. 15, 417 (1974).
D. G. Steer, P. E. Dewdney, and M. R. Ito, Astron. Astrophys. 137, 159 (1984).
B. R. Frieden, J. Opt. Soc. Am. 62, 511 (1972).
R. Narayan and R. Nityananda, Ann. Rev. Astron. Astrophys. 24, 127 (1986).
Ya. I. Khurgin and V. P. Yakovlev, Finite Functions in Physics and Engineering (Nauka, Moscow, 1971) [in Russian].
A. T. Bajkova, Soobshch. Inst. Prikl. Astron., No. 58 (IPA RAN, St. Petersburg, 1993).
B. R. Frieden and A. T. Bajkova, Appl. Opt. 33, 219 (1994).
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Original Russian Text © A.T. Baikova, 2007, published in Astronomicheski’ Zhurnal, 2007, Vol. 84, No. 11, pp. 984–996.
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Baikova, A.T. Reconstructing images from projections using the maximum-entropy method. Numerical simulations of low-aspect astrotomography. Astron. Rep. 51, 891–902 (2007). https://doi.org/10.1134/S1063772907110030
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DOI: https://doi.org/10.1134/S1063772907110030