1. An image processing apparatus comprising: an acquisition module configured to acquire a moving image configured by a plurality of frames; an estimation module configured to estimate an amount of motion of a processing frame in the moving image with respect to a reference frame other than the processing frame in the moving image; a fine image generator configured to produce a generated fine image serving as a fine image of the processing frame by performing, according to the amount of motion, motion compensation on a fine image by increasing a spatial frequency of texture components included in the reference frame; and a combining module configured to combine the processing frame and the generated fine image, wherein the fine image generator puts a limit to an interval between the reference frame in a future direction and the processing frame.