1. An image super-resolution reconstruction method, comprising: an edge detection step of performing an edge detection on low-resolution images to be processed to obtain edge pixel frames; a frame amplification step of amplifying the edge pixel frames so that each amplified image is the double of the original edge pixel frame in size in both horizontal direction and vertical direction, without changing the detected edge pixel information; and a pixel compensation step of compensating for the interpolated interpolation pixels according to different pixel edges to obtain a high-resolution images; wherein, the pixel compensation step further comprises: searching, based on the central interpolation pixel in five interpolation pixels to be compensated which is located at the center of a pixel block, the information of the edges pixels contained in the four pixels adjacent to the central interpolation pixel in set four directions, and then compensating for the five interpolation pixels accordirato corresponding rules, and wherein, the rules are related to the number of the edge pixels contained in the four pixels,the edge directions, and/or brightness of the pixels: wherein, when the set directions are selected in a range from 45° to 90° , if the assigned value to one of the five interpolation pixels currently compensated is also from interpolation pixels previously compensated, and the pixel block compensated previously is located above the interpolation pixel, then the assigned value of the interpolation pixel is the value currently compensated, and, if the assigned value to one of the five interpolation pixels currently compensated is also from one interpolation pixels previously compensated, and the pixel block compensated previously is located at the left side of the interpolation pixel, then the assigned value of the interpolation pixel is the value previously compensated; wherein, when the set directions are selected in a range from 90° to 180°, if the assigned value to one of the five interpolation pixels currently compensated is also from one of interpolation pixels previously compensated, and the pixel block compensated previously is located above the interpolation pixel, then the assigned value of the interpolation pixel is the value previously compensated, and if the assigned value to one of the five interpolation pixels currently compensated is also from one of interpolation pixels previously compensated, and the pixel block compensated previously is located at the left side of the interpolation pixel, then the assigned value of the interpolation pixel is the value currently compensated; and wherein, when the set directions are selected from outside of a range of 45° to 180°, if the assigned value to one of the five interpolation pixels currently compensated is from one of interpolation pixels previously compensated, and the pixel block compensated previously is located above or at the left side of the interpolation pixel, then the assigned value of the interpolation pixel is the value previously compensated.