Efficient Multi-Gaussian Expansion of galaxies

Details Efficient Multi-Gaussian Expansion of galaxies Efficient Multi-Gaussian Expansion of galaxies

2002-01-27

arxiv.org/abs/astro-ph/0201430v1

Mon.Not.Roy.Astron.Soc.333:400,2002

Astronomy and Astrophysics

Astrophysics

11 pages, 13 figures, LaTeX, to be published in MNRAS; software implementing the methods described in this paper is available

Scientific paper

10.1046/j.1365-8711.2002.05412.x

We describe a simple, efficient, robust and fully automatic algorithm for the determination of a Multi-Gaussian Expansion (MGE) fit to galaxy images, to be used as a parametrization for the galaxy stellar surface brightness. In most cases the least-squares solution found by this method essentially corresponds to the minimax, constant relative error, MGE approximation of the galaxy surface brightness, with the chosen number of Gaussians. The algorithm is well suited to be used with multiple resolution images (e.g., Hubble Space Telescope [HST] and ground-based). It works orders of magnitude faster and is more accurate than currently available methods. An alternative, more computing intensive, fully linear algorithm, that is guaranteed to converge to the smallest Chi^2 solution, is also discussed. Examples of MGE fits are presented for objects with HST or ground-based photometry, including galaxies with significant isophote twist.

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