1. An image capture apparatus comprising: a detection unit which detects a motion in a translational direction and a rotational direction of the apparatus; a shake correction unit which mitigates image shake of a captured image due to the motion in the translational direction by driving an optical member; and a geometric deformation processing unit which corrects a distortion of the captured image due to a detected motion in the rotational direction by applying a geometric deformation process to the captured image, wherein the geometric deformation processing unit corrects the distortion in an output image area that is smaller than an imaging area of the captured image by applying to the output image area the geometric deformation process using pixels of a reference area of the captured image that is necessary to correct the distortion, and wherein the shake correction unit drives the optical member based on an amount of drive corrected so that a center of a rectangular area corresponding to the reference area comes closer to a center of the imaging area.