AI for parameter-free image reconstruction

Supervisor: Dr Matthias Ehrhardt

Partners: Ada Lovelace Centre, in partnership with Rutherford Appleton Laboratories

Image reconstruction (or the solution to an inverse problem) is a fundamental task in any scientific imaging investigation such as X-ray and neutron computed tomography in material sciences or position emission tomography in medical imaging. Many state-of-the-art methods frame the image reconstruction tasks as the solution to an optimisation problem which in turn can be solved by iterative algorithms. While tremendous advancements have been made in the field of inverse problems and optimisation over the last half century, both the modelling and the optimisation require the selection of hyperparameters. Thus, applying such algorithms in a new application domain requires expert knowledge. In this project we want to approach this task via machine learning thereby making advanced image reconstruction algorithms much more widely available and easier to use.

Keywords: Imaging, inverse problems, X-ray tomography, machine learning, numerical analysis, image reconstruction

Candidate Requirements

In addition to the SAMBa entrance requirements, the ideal candidate will have experience in one or more of the following areas: inverse problems, machine learning, mathematical imaging, optimisation, or numerical methods but training can be provided for a suitably motivated candidate. Experience in programming is desirable (e.g., MATLAB / Python).

Enquiries and Applications

Informal enquiries are encouraged and should be directed to supervisor Dr. Matthias Ehrhardt me549@bath.ac.uk.

Applications are open for entry in September 2025. Apply via the University of Bath’s online application form for an Integrated PhD in Statistical Applied Mathematics. Early applications are encouraged.

IMPORTANT:

When completing the application form:

1.      In the Finance section, enter ‘SAMBa’ when asked to name the scholarship or PhD studentship you wish to be considered for.

2.      In the Your research interests section, quote the project title of this project at the top of your statement or proposal and the name of the lead supervisor in the appropriate box.

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