4 papers
Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics
Klaus Frick, Philipp Marnitz, Axel Munk
In this paper we present a spatially-adaptive method for image reconstruction that is based on the concept of statistical multiresolution estimation as introduced in [Frick K, Marn…
Statistical Multiresolution Dantzig Estimation in Imaging: Fundamental Concepts and Algorithmic Framework
Klaus Frick, Philipp Marnitz, Axel Munk
In this paper we are concerned with fully automatic and locally adaptive estimation of functions in a "signal + noise"-model where the regression function may additionally be blurr…
Shape Constrained Regularisation by Statistical Multiresolution for Inverse Problems: Asymptotic Analysis
Klaus Frick, Philipp Marnitz, Axel Munk
This paper is concerned with a novel regularisation technique for solving linear ill-posed operator equations in Hilbert spaces from data that is corrupted by white noise. We combi…
Locally adaptive image denoising by a statistical multiresolution criterion
Thomas Hotz, Philipp Marnitz, Rahel Stichtenoth +3
We demonstrate how one can choose the smoothing parameter in image denoising by a statistical multiresolution criterion, both globally and locally. Using inhomogeneous diffusion an…