### Tomography - a theoretical study

#### (supervisor: Eleri Pryse)

Nature of project: **theory**, software

Available to
students on full-time physics degree schemes or joint students.

#### Project description and methodology

The imaging technique of tomography involves measuring the line integral of a parameter along a large number of intersecting paths. Inversion of the measurements using a suitable reconstruction algorithm yields an image of the parameter over the region of ray-path intersection. The project involves identifying, investigating and evaluating reconstruction algorithms and viewing geometry for tomographic imaging.

*A successful project will develop beyond the above in one/some of the following directions:*

The project can be developed to consider different types of algorithms and their application.

When considering where to take your project, please bear in mind the time available. It is preferable to do fewer things well than to try many and not get conclusive results on any of them. However, sometimes it is useful to have a couple of strands of investigation in parallel to work on in case delays occur.

*This project is only available as a Y3 project.*

Please speak to **Eleri Pryse** if you consider doing this project.

*Initial literature for students:*

- Principles of computerized tomographic imaging / Avinash C. Kak, Malcolm Slaney, Publisher: Philadelphia : Society for Industrial and Applied Mathematics, 2001, ISBN:089871494X and references therein.
- Mathematics for computer tomography, Bertil Gustafsson, Physica Scripta, T61, 38-43, 1996.
- A realistic simulation framework to evaluate ionospheric tomography, J Bruno, C N Mitchell, K H A Bolmgren, B A Witvliet, Advances in Space Research, 65, 891-901, 2020.

#### Novelty, degree of difficulty and amount of assistance required

A challenging project.

#### Project milestones and deliverables (including timescale)

milestone | to be completed by |

General understanding of tomographic reconstruction. | end of November |

Selection of reconstruction algorithms suitable for tomographic imaging. | Christmas |

Writing the selected reconstruction algorithms in computer code. | end of February |

Evaluation and comparisons of the selected algorithms to image modelled structures with various viewing geometry. | Easter |