Image quality and forgery detection copula-based algorithms

Copula functions are important tools to investigate dependence structure between random variables. There are many copulas such as: Gaussian, Marshall-Olkin, Clayton, and Frank copulas. Although, copulas have been used in finance, oceanography, and hydrology, they have been applied in limited applications in the image processing field. In this thesis, copulas are applied to calculate the mutual information of two images, which in turn is used to measure image quality of a targeted image and also used to detect copy-move forgery in images. The proposed algorithms introduce new alternatives for existing image quality assessment and forgery detection methods. These algorithms are easy to use and highly accurate. The results for our image quality assessment algorithm are comparable or better than those of established methods in the literature, while the results for our image forgery detection algorithm are accurate even after applying different manipulation and post-processing techniques on the forged images. --Leaf ii.