The deconvolution of brightness profiles of galaxies from seeing: Application to M32

The integral equation relating the brightness distribution in a galaxy to that in its image formed by an optical system characterized by a Gaussian (or a sum of Gaussians) point-spread function is derived. Since the solution of this equation, attainable by any classical method, is numerically unstab...

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Bibliographic Details
Published in:Astrophysics and space science 1982-04, Vol.83 (1-2), p.239-246
Main Authors: Bendinelli, O., Parmeggiani, G., Zavatti, F.
Format: Article
Language:English
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Summary:The integral equation relating the brightness distribution in a galaxy to that in its image formed by an optical system characterized by a Gaussian (or a sum of Gaussians) point-spread function is derived. Since the solution of this equation, attainable by any classical method, is numerically unstable, an approximate and stable solution is obtained by a first order regularization in Tikhonov's sense. For the bright spike the application to M32 gives a radius of 2.1 arcsec, a central surface brightness of 13.10 V mag/sq arcsec, and a 12 V integrated magnitude.
ISSN:0004-640X
1572-946X
DOI:10.1007/BF00648557