Method for acquiring images of a predetermined ground scene, from a carrier which moves along a trajectory and which is provided with an optical sensor which has a line of sight, which comprises a step of acquiring, using the sensor, successive images of the scene during the movement of the carrier, and a step of servocontrol of the angular direction of the line of sight using a processing unit which is connected to the sensor, the acquisition being carried out: - for a first position of the carrier on the trajectory thereof, with servocontrol of the angular direction of the line of sight which enables a predetermined ground strip (4, 4a) of the scene to be scanned, referred to as forward scanning, combined with a scanning in "step-and-stare" mode, a first strip of images (40, 40a1) being acquired in this manner, - and in that at least one other strip of images (40a2) is acquired in the same ground zone as the first strip by reiterating these scanning steps for at least one other position of the carrier on the trajectory thereof, each image of another strip being acquired for a ground strip portion with a coverage level with the image(s) of the first strip for the same ground portion greater than a high predetermined coverage level, the covering images from one strip to the other originating from the same ground portion thus being acquired during these iterations in different directions of the sight line, respectively, characterised in that the "step-and-stare" mode which comprises micro translation movements referred to as "steps" having an amplitude which is controlled by the processing unit comprises: o at least one "step" having a main component which is perpendicular to the forward scanning and which is referred to as a lateral step, combined with o at least one "step" having a main component which is parallel with the forward scanning and which is referred to as a longitudinal step, o a biaxial micro-movement "stare" in order to compensate for a translation movement of the sight line during the acquisition of each image, and in that the servocontrol of the angular direction of the sight line is carried out by means of image processing on the images acquired. - for a first position of the carrier on the trajectory thereof, with servocontrol of the angular direction of the line of sight which enables a predetermined ground strip (4, 4a) of the scene to be scanned, referred to as forward scanning, combined with a scanning in "step-and-stare" mode, a first strip of images (40, 40a1) being acquired in this manner, - and in that at least one other strip of images (40a2) is acquired in the same ground zone as the first strip by reiterating these scanning steps for at least one other position of the carrier on the trajectory thereof, each image of another strip being acquired for a ground strip portion with a coverage level with the image(s) of the first strip for the same ground portion greater than a high predetermined coverage level, the covering images from one strip to the other originating from the same ground portion thus being acquired during these iterations in different directions of the sight line, respectively, o at least one "step" having a main component which is perpendicular to the forward scanning and which is referred to as a lateral step, combined with o at least one "step" having a main component which is parallel with the forward scanning and which is referred to as a longitudinal step, o a biaxial micro-movement "stare" in order to compensate for a translation movement of the sight line during the acquisition of each image,