Solving variational problems in image processing via projections – a common view on TV denoising and wavelet shrinkage
Dirk A. Lorenz · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2007
Abstract In this paper we investigate a special class of minimization problems for image denoising and deblurring. We focus on problems with positively one homogeneous penalty terms and show that the minimizer can be given in terms of projections. Especially we apply the results to wavelet shrinkage and TV denoising. Furthermore we present an application to deblurring with a TV penalty term. The approach presented here provides a common view on TV denoising and wavelet shrinkage.