Reconstructing images of gravitational lenses with regularizing algorithms

Abstract

This note addresses possible applications of the Tikhonov regularization to image reconstruction of gravitational lens systems. Several modifications of the regularization algorithm are discussed. Our illustrative example is the close quadruple gravitational lens QSO 2237+0305 (Einstein Cross). The restored image of the lens is decomposed into two parts - the quasar components and the background galaxy.

to appear in proceedings of the meeting on 'Gravitational Lensing : A unique Tool for Cosmology' held in Aussois, France, 5-11 January 2003, 9 pages with 6 figures