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(GIF Created by Philip Sellars)

We are interested in all aspects of mathematical imaging: the use of mathematical techniques to analyse and to improve real-world images, ranging from photographs made with consumer cameras to the images made with professional imaging devices in the sciences and medicine. These include techniques such as MRI (magnetic resonance imaging) and PET (positron emission tomography). Our current research concentrates in particular on higher order PDEs for image inpainting, and discontinuity-preserving higher-order variational approaches for the recovery of sparsely sampled data. Further themes include parameter learning, with the goal of building "black box" imaging tools suitable for use by non-professionals.

Listed below are ongoing and previous projects in alphabetical order as well as funding sources. For categorised projects, follow the links on the left.

Research Projects

Read more at: Anisotropic Interaction Models for Simulating Fingerprint Patterns

Anisotropic Interaction Models for Simulating Fingerprint Patterns

Researcher: Martin Burger, José Carrillo, Bertram Düring, Carsten Gottschlich, Stephan Huckemann, Lisa Maria Kreusser, Peter Markowich, Carola-Bibiane Schönlieb 


Read more at: Anisotropic variational models and PDEs for inverse imaging problems

Anisotropic variational models and PDEs for inverse imaging problems

Researcher: Simone Parisotto

 


Read more at: Bernstein von-Mises theorems for nonparametric inverse problems

Bernstein von-Mises theorems for nonparametric inverse problems

Researcher: Hanne Kekkonen


Read more at: Cellular Mechanics of Drosophila

Cellular Mechanics of Drosophila

Researcher: Lukas F. Lang, Jocelyn Étienne, Nilankur Dutta, Bénédicte Sanson, Elena Scarpa


Read more at: Continuum Limits in Graphical Based Machine Learning Problems

Continuum Limits in Graphical Based Machine Learning Problems

Researcher: Matthew Thorpe, Jeff Calder, Riccardo Cristoferi, Olly Crook, Matt Cunlop, Nicolás García Trillos, Tim Hurst, Ryan Murray, Carola-Bibiane Schönlieb, Dejan Slepcev, Andrew Stuart, Florian Theil, Kostas Zygalakis


Read more at: Edge preserving random tree Besov priors

Edge preserving random tree Besov priors

Researcher: Hanne Kekkonen


Read more at: Faster PET Reconstruction by Stochastic Optimisation

Faster PET Reconstruction by Stochastic Optimisation

Researcher: Matthias Ehrhardt


Read more at: Flow of Microtubules in the Drosophila Oocyte

Flow of Microtubules in the Drosophila Oocyte

Researcher: Lukas F. Lang, Maik Drechsler, Hendrik Dirks, Martin Burger, Carola-Bibiane Schönlieb, Isabel M. Palacios


Read more at: Geometric Integration Methods for Optimisation

Geometric Integration Methods for Optimisation

Researcher: Erlend Riis


Read more at: Image Classification Under Minimal Supervision: Graph-Based Semi-Supervised Learning for Real-World Large-Scale Problems.

Image Classification Under Minimal Supervision: Graph-Based Semi-Supervised Learning for Real-World Large-Scale Problems.

Reseacher: Angelica I. Aviles-Rivero, N. Papadakis (IMB, Université Bordeaux), R. Li (NUS), RT Tan (Yale-NUS), SM Alsaleh (GWU), P. Sellars (DAMTP, University of Cambridge), Q. Fan (Stanford University), C-B Schönlieb (DAMTP, University of Cambridge)


Read more at: Inverse Problems with Imperfect Forward Models and Applications in Biomedical Imaging

Inverse Problems with Imperfect Forward Models and Applications in Biomedical Imaging

Researcher: Yury Korolev, Martin Burger, Carola-Bibiane Schönlieb, Leila Muresan


Read more at: Learning Sampling Patterns for MRI

Learning Sampling Patterns for MRI

Researcher: Ferdia Sherry


Read more at: Machine learning methods for segmentation of food microscopy images

Machine learning methods for segmentation of food microscopy images

Researcher: Rihuan Ke, Carola-Bibiane Schönlieb and Peter Schuetz


Read more at: Mathematical challenges in electron tomography

Mathematical challenges in electron tomography

Researchers: Rob Tovey, M. Benning, C.-B. Schönlieb, O. Öktem, C.E. Yarman


Read more at: Mathematics for Cultural Heritage Applications

Mathematics for Cultural Heritage Applications

Researchers: Simone Parisotto, Luca Calatroni, Rob Hocking


Read more at: Model-Based and Deep Learning-Based Approaches for Image Restoration for Real-World Problems: Image Reflection Removal and Image Deraining.

Model-Based and Deep Learning-Based Approaches for Image Restoration for Real-World Problems: Image Reflection Removal and Image Deraining.

Researcher: Angelica I. Aviles-Rivero


Read more at: Model Selection by Bilevel Optimisation

Model Selection by Bilevel Optimisation

Researchers: Ferdia Sherry, Erlend Riis, Luca Calatroni


Read more at: Multi-sensor Remote Sensing for the Detection of Individual Trees

Multi-sensor Remote Sensing for the Detection of Individual Trees

Researchers: Jonathan Williams, Carola-Bibiane Schönlieb, Tom Swinfield, David A. Coomes, Juheon Lee, Xiaohao Cai


Read more at: Multi-tasking to Correct: Motion-Compensated MRI via Joint Reconstruction and Registration

Multi-tasking to Correct: Motion-Compensated MRI via Joint Reconstruction and Registration

Researcher: Veronica Corona, Angelica I. Aviles-Rivero, Noémie Debroux, Carola-Bibiane Schönlieb


Read more at: ODE and PDE based modeling of biological transportation networks

ODE and PDE based modeling of biological transportation networks

Researcher: Jan Haskovec, Lisa Maria Kreusser and Peter A. Markowich 


Read more at: Semi-Supervised Hyperspectral Image Classification

Semi-Supervised Hyperspectral Image Classification

Researcher: Philip Sellars, Angelica I. Aviles-Rivero, David Coomes, Nicolas Papadakis, Carola-Bibiane Schönlieb

 


Read more at: Template-Based Image Reconstruction from Sparse Tomographic Data

Template-Based Image Reconstruction from Sparse Tomographic Data

Researcher: Lukas F. Lang, Sebastian Neumayer, Ozan Öktem, Carola-Bibiane Schönlieb


Read more at: Using Unmanned Aerial Vehicle (UAV) Imagery to Guide the Restoration of Tropical Rainforests

Using Unmanned Aerial Vehicle (UAV) Imagery to Guide the Restoration of Tropical Rainforests

Researchers: Jonathan Williams, Carola-Bibiane Schönlieb, Tom Swinfield, David A. Coomes


Read more at: Variational Multi-task Methods for Improving MRI Reconstruction.

Variational Multi-task Methods for Improving MRI Reconstruction.

Researcher: Angelica I. Aviles-Rivero, Noémie Debroux, Veronica Corona, M. Graves, G. Williams, C. Le Guyader, Carola-Bibiane Schönlieb


Read more at: Geometry of Non-smooth Optimization and Acceleration

Geometry of Non-smooth Optimization and Acceleration

Researcher: Jingwei Liang


Read more at: Tracking Tumour Dynamics

Tracking Tumour Dynamics

Principal Investigators: Carola-Bibiane Schönlieb and Evis Sala

This project has its own website.

 


Read more at: Intergral: Robust and Efficient Analysis Approaches of Remote Imagery for Assessing Population and Forest Health in India

Intergral: Robust and Efficient Analysis Approaches of Remote Imagery for Assessing Population and Forest Health in India

Researchers: Angelica Aviles-Rivero, Madeleine Kotzagiannidis, Rihuan Ke, Carola-Bibiane Schönlieb, David Coomes, James Woodcock, and Rahul Goel

This project has its own website.