Desaturating EUV observations of solar flaring storms

The three steps of the DESAT pipeline strongly exploit the knowledge of an estimate of the image background and this is the actual drawback of this approach. Background estimation is in general a tricky issue in solar imaging and DESAT addresses it by exploiting a specific aspect of AIA hardware. In fact, this telescope is equipped with a feedback system that automatically reduces the exposure time in correspondence of intense emission. It follows that a typical AIA observation along a time range of some minutes, is characterized by some unsaturated frames that can be utilized for background estimation. Specifically, for each saturated image, DESAT interpolates the pixel content belonging to the two unsaturated maps recorded just before and just after it and the resulting signal is assigned to the background pixels. But what if AIA is observing an extremely intense flaring storm so that the feedback system becomes ineffective and strong saturation effects occur for a whole time series of acquired images?