1. A super-resolution device, comprising: a candidate area setting unit configured to set at least one of a plurality of pixels included in image data as a target pixel, the image data including the plurality of pixels arranged in a screen and corresponding pixel values representing pixel brightness, an area including the target pixel and pixels in the periphery of the target pixel as a target pixel area within the screen, and a search area for searching a plurality of change patterns of pixel values of the pixels included in the target pixel area within the screen; a matching difference calculating unit configured to calculate at least one difference between a first change pattern of the pixel values of the pixels included in the target pixel area, and a second change pattern of the pixel values of the pixels included in the search area, said pixels included in the search area including a searched pixel and the pixels in the periphery of the searched pixel; a difference comparing unit configured to compare at least one difference between the first and second change patterns to obtain a first pixel position with a first minimum difference and a second pixel position in a periphery of the first pixel position with a second difference thereof; a memory configured to store the first pixel position and the first minimum difference thereof, the second pixel position and the second difference thereof; a decimal-accuracy-vector calculating unit configured to calculate a position with a minimum difference in the search area with a decimal accuracy on the basis of the first pixel position and the first minimum difference, and the second pixel position and the second difference stored in the memory, and to calculate a decimal-accuracy-vector starting from the target pixel and terminating at the position with the minimum difference; an extrapolated vector calculating unit configured to calculate an extrapolated vector of the decimal-accuracy-vector from the position with the minimum difference to a pixel on the screen which is not included in the search area using the decimal-accuracy-vector; and a super-resolution pixel value calculating unit configured to calculate a pixel value of a super-resolution image having a number of pixels larger than a number of pixels included in the image data on the basis of the decimal-accuracy-vector, the extrapolated vector, and pixel values obtained from the image data.