55 citations · 598 across the 84 of their papers we have counts for
6 papers · 2 filters
On Optical Flow Models for Variational Motion Estimation
Martin Burger, Hendrik Dirks, Lena Frerking
The aim of this paper is to discuss and evaluate total variation based regularization methods for motion estimation, with particular focus on optical flow models. In addition to st…
A Nonlinear Variational Approach to Motion-Corrected Reconstruction of Density Images
Martin Burger, Jan Modersitzki, Sebastian Suhr
The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model t…
Infimal Convolution Regularisation Functionals of BV and Spaces. The Case p
Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis +1
In this paper we analyse an infimal convolution type regularisation functional called , based on the total variation () and the $\mathrm{L}^{\in…
Diffuse Interface Methods for Inverse Problems: Case Study for an Elliptic Cauchy Problem
Martin Burger, Ole Loseth Elvetun, Matthias Schlottbom
Many inverse problems have to deal with complex, evolving and often not exactly known geometries, e.g. as domains of forward problems modeled by partial differential equations. Thi…
Infimal convolution regularisation functionals of BV and spaces. Part I: The finite case
Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis +1
We study a general class of infimal convolution type regularisation functionals suitable for applications in image processing. These functionals incorporate a combination of the to…
Spectral Representations of One-Homogeneous Functionals
Martin Burger, Lina Eckardt, Guy Gilboa +1
This paper discusses a generalization of spectral representations related to convex one-homogeneous regularization functionals, e.g. total variation or -norms. Those functi…