A process for the electronic stabilization of the images of a scene of a snapshot capturing apparatus of an imaging system in which, in a terrestrial reference frame, the images of the scene captured by the apparatus are filtered in a low-pass filter, so as to retain only the low spatial frequencies thereof, and the optical flow equation is solved to determine the rotations to be imposed on the images in order to stabilize them with regard to the previous images is provided. The invention also relates to a process for correcting offsets in grey levels of a snapshot capturing apparatus of an imaging system whose images are stabilized according to the process of the invention, where the calculation of the offsets is deduced from the steps of the stabilization process.