  A probabilistic two-component mixture model allows one to separate the
diffuse background from the celestial sources within a one-step algorithm
without data censoring. The background is modeled with a thin-plate spline
combined with the satellite's exposure time. Source probability maps are
created in a multi-resolution analysis for revealing faint and extended
sources. All detected sources are automatically parametrized to produce a list
of source positions, fluxes and morphological parameters. The present analysis
is applied to the Chandra Deep Field South 2 Ms public released data. Within
its 1.884 ks of exposure time and its angular resolution (0.984 arcsec), the
Chandra Deep Field South data are particularly suited for testing the
Background-Source separation algorithm.
