A method of acquiring and processing a satellite observation image of the earth by means of at least one strip or a matrix of detectors of the charge transfer type travelling over an observed zone, in which a plurality of pixels are acquired, which pixels are sampled in a staggered configuration, the method being characterized in that the line pitch and the column pitch of said staggered sampling are such that the image spectrum is situated mainly in a zone of the Fourier plane where the modulation transfer function is meaningful and where spectrum aliasing is limited.