The major threat to humankind is security. Surveillance can help for better survival. It can be done through cameras of different types. The images thus obtained may sometimes lead to Low-resolution. This is due to the following three reasons, firstly the subject of interest is in the lightly illuminated area, secondly, the distance between the subject of interest and camera is more, and thirdly the resolution of the surveillance camera is less. This article proposes a new Interpolation algorithm, Quantized Batch-Gradient sharp-Edge Interpolation algorithm (Q-BG-SE), using which the obtained low-resolution(L-R) images are transformed to high-resolution(H-R) images with much quality in image edges. This algorithm obtains appreciable objective scores as 91.4 % for SSIM, 36.505 dB for PSNR, and subjective score of 2.7831 on a scale of 3 for the full-reference image quality index (FRIQ).