TitleRandom Matrix Theory for Modeling the Eigenvalue Distribution of Images under Upscaling
Publication TypeConference Paper
Year of Publication2017
AuthorsVázquez-Padín, D, Pérez-González, F, Comesaña, P
Conference NameInternational Tyrrhenian Workshop on Digital Communication 2017
Pages109-124
Date Published09/2017
PublisherSpringer International Publishing
Conference LocationPalermo, Italy
Abstract

 The stochastic representation of digital images through a two-dimensional autoregressive (2D-AR) model offers a proper way to approximate the empirical distribution of the eigenvalues coming from genuine images. By considering this model, we apply random matrix theory to analytically derive the asymptotic eigenvalue distribution of causal 2D-AR random fields that have undergone an upscaling operation with a particular interpolation kernel. This eigenvalue characterization is useful in developing new forensic techniques for image resampling detection since we can use theoretical bounds to drive the decision of detectors based on subspace decomposition. Moreover, experimental results with real images show that the obtained asymptotic limits turn out to be excellent approximations, even when working with images of small size.