In a system for capturing a series of images of a scene comprising an image capture device having a matrix of flux detectors which is oriented along a sighting axis (z), comprising a stabilizing module which stabilizes the sighting axis of the captured images, the sighting axis being instilled with a defined, cyclic, motion, the following steps are applied to a series of successive images (N1−K) captured during a cycle. Steps /i/ and /ii/ are repeated from the first image captured up to the last image captured of the series and an intermediate image (IIntermediate) is obtained •−/i/ registering a subsequent image (Ni+i) on a preceding image (Ni) as a function of the defined motion; −/ii/ correcting spatial noise relating to the flux detectors and affecting the common part of the images. Next, a corrected captured image of the scene is obtained by applying a convolution product between the intermediate image and a correction point spreading function (PSFglobal) which is determined on the basis of the defined motion.