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Faculty of Mathematics



  • 09/18-today: Prize Fellow, University of Bath, UK
  • 01/16-09/18: Research Associate, University of Cambridge, UK
  • 05/15-12/15: Research Associate, University College London, UK
  • 05/12-04/15: PhD student, University College London, UK


Matthias is a member of the Department of Applied Mathematics and Theoretical Physics as part of the Cambirdge Image Analysis research group under supervision of Dr Carola-Bibiane Schönlieb. His current research interests are inverse problems, optimization, medical imaging and image processing. He is particularly interested in multi-modality imaging such as combined Magnetic Resonance Imaging (MRI) and Positron Emission Tomography (PET).

Selected Publications


Faster PET reconstruction with non-smooth priors by randomization and preconditioning
MJ Ehrhardt, P Markiewicz, C-B Schönlieb
– Physics in medicine and biology
Enhancing joint reconstruction and segmentation with non-convex Bregman iteration
V Corona, M Benning, MJ Ehrhardt, LF Gladden, R Mair, A Reci, AJ Sederman, S Reichelt, CB Schönlieb
– Inverse Problems
Blind image fusion for hyperspectral imaging with the directional total variation
L Bungert, DA Coomes, MJ Ehrhardt, J Rasch, R Reisenhofer, CB Schönlieb
– Inverse Problems
Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications
A Chambolle, MJ Ehrhardt, P Richtarik, CB Schonlieb
– SIAM Journal on Optimization
NiftyPET: a High-throughput Software Platform for High Quantitative Accuracy and Precision PET Imaging and Analysis
PJ Markiewicz, MJ Ehrhardt, K Erlandsson, PJ Noonan, A Barnes, JM Schott, D Atkinson, SR Arridge, BF Hutton, S Ourselin
– Neuroinformatics
Fast Quasi-Newton Algorithms for Penalized Reconstruction in Emission Tomography and Further Improvements via Preconditioning
Y-J Tsai, A Bousse, MJ Ehrhardt, CW Stearns, S Ahn, BF Hutton, S Arridge, K Thielemans
– IEEE transactions on medical imaging
Supporting Material for Blind Image Fusion for Hyperspectral Imaging with the Directional Total Variation
MJ Ehrhardt, L Bungert, D Coomes, C Schoenlieb, J Rasch, R Reisenhofer
Uniform acquisition modelling across PET imaging systems: unified scatter modelling
PJ Markiewicz, MJ Ehrhardt, D Atkinson, SR Arridge, BF Hutton, S Ourselin
– 2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop, NSS/MIC/RTSD 2016
Faster PET reconstruction with a stochastic primal-dual hybrid gradient method
MJ Ehrhardt, P Markiewicz, A Chambolle, P Richtárik, J Schott, CB Schönlieb
– Proceedings of SPIE - The International Society for Optical Engineering
PET Reconstruction With an Anatomical MRI Prior Using Parallel Level Sets
MJ Ehrhardt, P Markiewicz, M Liljeroth, A Barnes, V Kolehmainen, JS Duncan, L Pizarro, D Atkinson, BF Hutton, S Ourselin, K Thielemans, SR Arridge
– IEEE transactions on medical imaging
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Research Group

Centre for Mathematical Imaging in Healthcare


01223 760454