1. A system for identifying an image based on SVD (singular value decomposition) including a non-transitory computer readable medium, the non-transitory computer readable medium comprising: a feature point extracting module configured to extract at least one feature point from an input image using a strength of a Gaussian curvature of each pixel from the input image; an identifier detecting module configured to detect a local identifier based on SVD (singular value decomposition) for sub-regions adjacent to the extracted feature point; and a matching module configured to compare the detected local identifier from the identifier detecting module with an image in a database.