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Topological methods for image recognition

Project Description

The aim of this project is to develop mathematical algorithms for manipulating and classifying medical images. Images from medical scans are typically presented as a collection of voxels (three-dimensional analogues of pixels); one wants to develop automated algorithms to determine from the scan whether, say, an organ is diseased. An efficient way has been found recently to represent voxel images, using ideas from graph theory and topology. In this project, theoretical and practical aspects of this representation will be explored further and the algorithms will be tested on some sample data sets.

Candidates should have (or expect to achieve) a UK honours degree at 2.1 or above (or equivalent) in Mathematics.

This project requires a firm grounding in mathematics. Applicants from another discipline should have studied substantial amounts of mathematics – including some pure mathematics – during their degree.
Some knowledge of topology is desirable. Good programming skills would be a big advantage for students interested in computational aspects of the project.


• Apply for Degree of Doctor of Philosophy in Mathematics
• State name of the lead supervisor as the Name of Proposed Supervisor
• State ‘Self-funded’ as Intended Source of Funding
• State the exact project title on the application form

When applying please ensure all required documents are attached:

• All degree certificates and transcripts (Undergraduate AND Postgraduate MSc-officially translated into English where necessary)
• Detailed CV
• Details of 2 academic referees

Informal inquiries can be made to Prof Ben Martin () with a copy of your curriculum vitae and cover letter. All general enquiries should be directed to the Postgraduate Research School ()

Funding Notes

This project is advertised in relation to the research areas of the discipline of Mathematics. The successful applicant will be expected to provide the funding for Tuition fees, living expenses and maintenance. Details of the cost of study can be found by visiting View Website. THERE IS NO FUNDING ATTACHED TO THESE PROJECTS.

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