A few remarks on variational models for denoising
Rustum Choksi, Irene Fonseca, Barbara Zwicknagl · Communications in Mathematical Sciences · 2014
Variational models for image and signal denoising are based on the minimization of energy functionals consisting of a fidelity term together with higher-order regularization.In addition to the choices of function spaces to measure fidelity and impose regularization, different scaling exponents appear.In this note we present a few simple remarks on (i) the stability with respect to deterministic noise perturbations, captured via oscillatory sequences converging weakly to zero, and (ii) exact reconstruction.