Method for processing a signal acquired by an imager which is mounted on a carrier and which is subjected to microvibrations during its movement, the imager comprising bars of photodetectors which are offset from each other in the focal plane in the movement direction and having in pairs overlap zones in the movement direction, the imager being capable of acquiring images in a "push-broom" mode, the method comprising: - a step of estimating a disparity map brought about by the microvibrations, from the acquisition of at least two images and offset measurements between overlap zones of these images, and - a step of estimating microvibrations from the disparity map, characterised in that the step of estimating microvibrations comprises: - a cutting of the frequency domain of the microvibrations into portions Ω which each contain the frequency of a single harmonic (step A1), - for each portion Ω of the frequency domain: calculating an optimum phase shift from a statistical criterion relating to the distribution of the Fourier transform of the disparity map reduced to this portion Ω of the frequency domain (step A2), application of that optimum phase shift to the corresponding disparity map (step B1), change to Fourier space (step B2) and selection of the spectrum portion of the out-of-phase disparity map corresponding to the portion Ω of the frequency domain (step B3), deconvolution of the selected spectrum portion using a deconvolution filter (step C), return to direct space by means of inverse Fourier transform, and application of the optimum inverse phase shift in order to obtain the temporal microvibration corresponding to the portion Ω of the frequency domain in question (step D1), - concatenation of the microvibrations obtained for each portion Ω of the frequency domain (step D2). - a step of estimating a disparity map brought about by the microvibrations, from the acquisition of at least two images and offset measurements between overlap zones of these images, and - a step of estimating microvibrations from the disparity map, - a cutting of the frequency domain of the microvibrations into portions Ω which each contain the frequency of a single harmonic (step A1), - for each portion Ω of the frequency domain: calculating an optimum phase shift from a statistical criterion relating to the distribution of the Fourier transform of the disparity map reduced to this portion Ω of the frequency domain (step A2), application of that optimum phase shift to the corresponding disparity map (step B1), change to Fourier space (step B2) and selection of the spectrum portion of the out-of-phase disparity map corresponding to the portion Ω of the frequency domain (step B3), deconvolution of the selected spectrum portion using a deconvolution filter (step C), return to direct space by means of inverse Fourier transform, and application of the optimum inverse phase shift in order to obtain the temporal microvibration corresponding to the portion Ω of the frequency domain in question (step D1), calculating an optimum phase shift from a statistical criterion relating to the distribution of the Fourier transform of the disparity map reduced to this portion Ω of the frequency domain (step A2), application of that optimum phase shift to the corresponding disparity map (step B1), change to Fourier space (step B2) and selection of the spectrum portion of the out-of-phase disparity map corresponding to the portion Ω of the frequency domain (step B3), deconvolution of the selected spectrum portion using a deconvolution filter (step C), return to direct space by means of inverse Fourier transform, and application of the optimum inverse phase shift in order to obtain the temporal microvibration corresponding to the portion Ω of the frequency domain in question (step D1), - concatenation of the microvibrations obtained for each portion Ω of the frequency domain (step D2).