Iterative image reconstruction algorithms for diagnostic medicine

Snoeijer, J. (2014) Iterative image reconstruction algorithms for diagnostic medicine. Bachelor's Thesis, Mathematics.

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Abstract

In this thesis we consider some iterative methods for image reconstruction in the context of diagnostic medicine. From a CT-scanner we get projection data of a patient. This data is used to reconstruct an image of the patient such that the physician can see into the body of the patient without cutting the patient. This can be seen as a linear programming problem and can be converted to a system of linear equations. This gives rise to mathematical analysis of optimization and row-action methods for solving linear systems. To get good image reconstructions we analyze and compare iterative image reconstruction algorithms such as the Kaczmarz algorithm and block-iterative versions such as Cimmino's algorithm and Block-Kaczmarz. We consider the stability of the block-iterative methods and show the possibility and advantage of parallel computing for the Block Kaczmarz algorithm.

Item Type:	Thesis (Bachelor's Thesis)
Degree programme:	Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	15 Feb 2018 07:57
Last Modified:	15 Feb 2018 07:57
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/11882

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