1. A video signal processing apparatus that uses a plurality of frame images differing in non-linear distortion according to a cropped position and thereby obtains a super-resolution image, the apparatus comprising: a first coordinate conversion formula calculation section that obtains, for each frame, a first coordinate conversion formula for correcting non-linear distortion in a cropped region of each of the frame images; a distortion correction and interpolation processing section that performs distortion correction on the cropped region of each of the frame images by using the first coordinate conversion formula corresponding to the cropped region and performs interpolation processing on each of the cropped images on which the distortion correction has been performed; a second coordinate conversion formula calculation section that obtains a second coordinate conversion formula for alignment between cropped images on a basis of results of matching between cropped images by using each of the cropped images on which the distortion correction and interpolation processing have been performed; a pixel coordinate conversion section that performs rearrangement of pixel coordinates on each of the frame images on which the distortion correction and interpolation processing are not performed, by using the first coordinate conversion formula corresponding to the cropped region of the frame image and the second coordinate conversion formula corresponding to the cropped image; and a synthesis section that synthesizes the cropped images in each of which the rearrangement has been made, the cropped images corresponding to the plurality of frames and being obtained by the pixel coordinate conversion section.