Applied Mathematics and Optimization, Vol.66, No.3, 331-361, 2012
A Variational Approach to the Denoising of Images Based on Different Variants of the TV-Regularization
We discuss several variants of the TV-regularization model used in image recovery. The proposed alternatives are either of nearly linear growth or even of linear growth, but with some weak ellipticity properties. The main feature of the paper is the investigation of the analytic properties of the corresponding solutions.
Keywords:Image recovery;Functions of bounded variation;Variational problems of linear growth;Variational problems of nearly linear growth;Regularity of solutions