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Astron. Astrophys. 337, 325-337 (1998)

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Entropy-regularized maximum-likelihood cluster mass reconstruction

Stella Seitz 1, 2, Peter Schneider 2 and Matthias Bartelmann 2

1 Universitätssternwarte München, Scheinerstrasse 1, D-81679 München, Germany
2 Max-Planck-Institut für Astrophysik, Postfach 1523, D-85740 Garching, Germany

Received 9 March 1998 / Accepted 22 June 1998


We present a new method for reconstructing two-dimensional mass maps of galaxy clusters from the image distortion of background galaxies. In contrast to most previous approaches, which directly convert locally averaged image ellipticities to mass maps (direct methods), our entropy-regularized maximum-likelihood method is an inverse approach. Albeit somewhat more expensive computationally, our method allows high spatial resolution in those parts of the cluster where the lensing signal is strong enough. Furthermore, it allows to straightforwardly incorporate additional constraints, such as magnification information or strong-lensing features. Using synthetic data, we compare our new approach to direct methods and find indeed a substantial improvement especially in the reconstruction of mass peaks. The main differences to previously published inverse methods are discussed.

Key words: methods: statistical – cosmology: gravitational lensing – galaxies: clusters: general – dark matter

Send offprint requests to: Stella Seitz

© European Southern Observatory (ESO) 1998

Online publication: August 17, 1998