1. A method of reconstructing a low-resolution image, comprising: extracting a high frequency component and a texture component from the low-resolution image; magnifying the low-resolution image from which the high frequency component and the texture component are extracted; and reconstructing an image by synthesizing the extracted high frequency component and texture component with the magnified low-resolution image, wherein the reconstructing of an image comprises reconstructing an image by finding a position at which a Sum of Absolute Difference (SAD) between brightness values of the pre-magnification low-resolution image and the magnified low-resolution image is the smallest, and synthesizing the magnified low-resolution image which corresponds to the found position with the high frequency component and the texture component which corresponds to the found position.