297 citations · 1.5k across the 199 of their papers we have counts for
11 papers · 1 filter
Inverse Scale Space Decomposition
Marie Foged Schmidt, Martin Benning, Carola-Bibiane Schönlieb
We investigate the inverse scale space flow as a decomposition method for decomposing data into generalised singular vectors. We show that the inverse scale space flow, based on co…
Gradient descent in a generalised Bregman distance framework
Martin Benning, Marta M. Betcke, Matthias J. Ehrhardt +1
We discuss a special form of gradient descent that in the literature has become known as the so-called linearised Bregman iteration. The idea is to replace the classical (squared)…
Infimal convolution of data discrepancies for mixed noise removal
Luca Calatroni, Juan Carlos De Los Reyes, Carola-Bibiane Schönlieb
We consider the problem of image denoising in the presence of noise whose statistical properties are a combination of two different distributions. We focus on noise distributions t…
Guidefill: GPU Accelerated, Artist Guided Geometric Inpainting for 3D Conversion
L. Robert Hocking, Russell MacKenzie, Carola-Bibiane Schoenlieb
The conversion of traditional film into stereo 3D has become an important problem in the past decade. One of the main bottlenecks is a disocclusion step, which in commercial 3D con…
Pattern formation of a nonlocal, anisotropic interaction model
Martin Burger, Bertram Düring, Lisa Maria Kreusser +2
We consider a class of interacting particle models with anisotropic, repulsive-attractive interaction forces whose orientations depend on an underlying tensor field. An example of…
Mathematical Imaging Methods for Mitosis Analysis in Live-Cell Phase Contrast Microscopy
Joana Sarah Grah, Jennifer Alison Harrington, Siang Boon Koh +5
In this paper we propose a workflow to detect and track mitotic cells in time-lapse microscopy image sequences. In order to avoid the requirement for cell lines expressing fluoresc…
A Variational Model for Joint Motion Estimation and Image Reconstruction
Martin Burger, Hendrik Dirks, Carola-Bibiane Schönlieb
The aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eul…
The use of discrete gradient methods for total variation type regularization problems in image processing
V Grimm, R I McLachlan, D McLaren +2
Discrete gradient methods are well-known methods of Geometric Numerical Integration, which preserve the dissipation of gradient systems. The preservation of the dissipation of a sy…
Learning optimal spatially-dependent regularization parameters in total variation image restoration
C. Chung, J. C. De los Reyes, C. B. Schoenlieb
We consider a bilevel optimization approach in function space for the choice of spatially dependent regularization parameters in TV image restoration models. First- and second-orde…
Explorations on anisotropic regularisation of dynamic inverse problems by bilevel optimisation
Martin Benning, Carola-Bibiane Schönlieb, Tuomo Valkonen +1
We explore anisotropic regularisation methods in the spirit of [Holler & Kunisch, 14]. Based on ground truth data, we propose a bilevel optimisation strategy to compute the optimal…
Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
Luca Calatroni, Yves van Gennip, Carola-Bibiane Schönlieb +2
We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on t…