Image Integrity Authentication Scheme Based On Fixed Point Theory
This addresses image authentication for security applications, but it appears incremental as it builds on fixed point theory with a new method.
The paper tackled image integrity authentication by proposing a scheme based on fixed point theory, using Gaussian Convolution and Deconvolution functions, and experiments showed that GCD fixed point images perform well in transparence, fragility, security, and tampering localization.
Based on fixed point theory, this paper proposes a new scheme for image integrity authentication, which is different from Digital Signature and Fragile Watermarking. A realization of the new scheme is given based on Gaussian Convolution and Deconvolution (GCD) functions. For a given image, if it is invariant under a GCD function, we call it GCD fixed point image. An existence theorem of fixed points for GCD functions is proved and an iterative algorithm is presented for finding fixed points. Experiments show that GCD fixed point images perform well in transparence, fragility, security and tampering localization.