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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

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 

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Cellular Mechanics of Drosophila

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

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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

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Flow of Microtubules in the Drosophila Oocyte

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

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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)

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Inverse Problems with Imperfect Forward Models and Applications in Biomedical Imaging

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

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Machine learning methods for segmentation of food microscopy images

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

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Mathematical challenges in electron tomography

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

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Model Selection by Bilevel Optimisation

Researchers: Ferdia Sherry, Erlend Riis, Luca Calatroni

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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

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

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

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Semi-Supervised Hyperspectral Image Classification

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

 

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Template-Based Image Reconstruction from Sparse Tomographic Data

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

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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

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Project Funding

Listed below are funding sources of ongoing and previous projects.

Current Projects 

  • Leverhulme Trust project on Unveiling the invisible. Duration: January 2019 - December 2021. P.I.: C.-B. Schönlieb. Co.I.: S. Bucklow, A. Launaro, S. Panayotova.
  • Unilever and EPSRC IAA Partnership Development Award for Mathematical Image Analysis and Machine Learning for Better Food Microstructures. Duration: March 2018 - February 2021. P.I.: C.-B. Schönlieb and P. Schütz.
  • NPL postdoctoral fellowship grant for The mathematics of measurement. Duration: March 2018 - February 2021. P.I.: A. Forbes and C.-B. Schönlieb.
  • Global Alliance funding for Mathematical and statistical theory of imaging. Duration: January 2017 - December 2018. P.I.: C.-B. Schönlieb.
  • EPSRC Centre for Mathematical and Statistical Analysis of Multimodal Clinical Imaging. Duration: March 2016 - February 2020. P.I.: C.-B. Schönlieb. Co-Is: J. Aston, S. Bohndiek, E. Bullmore, N. Burnet, T. Fokas, F. Gilbert, A. Hansen, S. Reichelt, J. Rudd, R. Samworth, G. Treece, G. Williams.
  • MSCA-RISE project Challenges in Preservation of Structure (CHiPS), EU Horizon 2020 program. Duration: January 2016 - December 2019. P.I.: Elena Celledoni (NTNU). Cambridge lead: C.-B. Schönlieb.
  • Leverhulme Trust project on Breaking the non-convexity barrier. Duration: November 2015 - October 2018. P.I.: C.-B. Schönlieb. Co.I.: M. Benning, L. Gladden, M. Möller.

Past Projects

  • Alan Turing Institute seed funding for Personalised breast cancer screening. Duration: October 2017 - April 2018 P.I.: M. van der Schaar and C.-B. Schönlieb.
  • LMS Undergraduate Research Bursary for Bilevel optimisation for learning the sampling pattern in Magnetic Resonance Tomography, P.I.: C.-B. Schönlieb. Duration: July 2016 - August 2016. Co.I.s: M. Benning, M. Ehrhardt.
  • EPSRC project on Efficient computational tools for inverse imaging problems. Duration: 01 January 2015 - 31 December 2017. P.I: C.-B. Schönlieb. Co-I.: T. Valkonen.
  • CCI Collaborative Fund on Assessing the conservation quality of tropical forest unmanned aerial vehicles. Duration: 01 September 2014 -- 01 September 2016. PIs: D. Coomes, J. Lindsell, C.-B. Schönlieb, T. Swinfield.
  • Wellcome Trust/ University of Cambridge Senior ISSF internship for the project Development of Image Analysis Algorithms for Monitoring Forest Health from Aircraft. Duration: 01 May 2014 -- 31 March 2015. PIs: X. Cai, D. Coomes, C.-B. Schönlieb.
  • LMS-Scheme 3 funding for four meetings to be held in the UK on Current frontiers in inverse problems: from theory to applications, 2014.
  • Leverhulme Early Career Fellowship awarded by the Leverhulme Trust and the Newton Trust. Duration: 01 November 2013 -- 31 October 2016. PI: L. Lellmann
  • EPSRC first grant Nr. EP/J009539/1 Sparse & Higher-order Image Restoration. Duration: 03 May 2012 ? 02 May 2014. PI: C.-B. Schönlieb
  • Royal Society International Exchange Award Nr. IE110314 High-order Compressed Sensing for Medical Imaging. Duration: 01 Jan 2012 ? 31 Dec 2013. PI?s: M. Burger & C.-B. Schönlieb. See online news of the University of Münster.
  • EPSRC / Isaac Newton Trust Small Grant Non-smooth geometric reconstruction for high resolution MRI imaging of fluid transport in bed reactors. Duration: 01 July 2012 - 30 June 2013. PI: C.-B. Schönlieb
  • Mathworks Academic Support for Development of Matlab Tools for the Numerical Analysis Tripos. Duration: July-September 2012. P.I.?s: S. Cowley, A. Iserles, C.-B. Schönlieb and A. Shadrin.