A flexible lens may be actuated to change its focal length by a deployable lens actuator. The lens actuator translates a rotational motion of an outer frame into a linear radial motion of a plurality of linear elements. The linear elements have fixed pins, which may be slidably coupled to cam pockets in the outer frame. The cam pockets have a gradually varying distance from the center of the outer frame. The rotation of the outer frame thus drives the cam pockets to slide about the pins, thereby causing radial motions of the linear elements. The linear elements stretch a flexible lens, thereby changing a curvature of the flexible lens.