Toral fragile watermarking for localizing and recovering tampered image

In this paper, we present a novel fragile watermarking technique that can localize tampered areas and recover them by using embedded watermarks which composes of JPEG compressed data. To resist counterfeit attacks, the relation between blocks is built by toral automorphism based on the asymmetric key structure. Our experiments show that the proposed scheme can correctly identify and remedy tampered areas to the extent of JPEG compression quality, and the counterfeit attack is eliminated successfully.