Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...308..611b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 308, Sept. 15, 1986, p. 611-619.
Astronomy and Astrophysics
Astrophysics
14
Brightness Distribution, Convolution Integrals, Elliptical Galaxies, Galactic Nuclei, Active Galaxies, Astronomical Photometry, Error Analysis, Galactic Structure
Scientific paper
The convolution integral equation relating the observed azimuthal brightness profiles of an elliptical galaxy is derived with constant ellipticity to the point-spread function (PSF) and the true brightness distribution along the semimajor axis. As an application, the nuclear structure of the low-level active galaxy M81 is studied, taking the brightness and PSF from Illingworth. The solution of the discretizing finite linear algebraic system is reached by means of Tikhonov regularization, since image restoration belongs to the class of numerically unstable inverse problems. The deconvolved structure found consists of a delta-spike of 14.24 + or - 0.07 integrated R mag, superposed on a smooth profile, having a central brightness of 14.02 + or - 0.07 R mag/sq arcsec. The reliability of the deconvolution and its errors (solution variance and bias) are confirmed by perturbation analysis and extensive simulations.
Bendinelli Orazio
Parmeggiani Gianluigi
Zavatti F.
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