Bachelor's thesis: Implementation and evaluation of iterative solving methods for X-ray Computed Tomography

Thesis by: Theodor Cheslerean Boghiu
Advisor: Bjoern Menze
Supervision by: Tobias Lasser

Abstract

Reconstruction of X-ray computed tomography (CT) data enables insight into the human body without a surgical procedure. The basic concept comes down to sending X-rays through the human body and measuring the changed X-ray on the other side of the patient. Such methods are called projective imaging methods. In order to reconstruct a 3D volume of the human body providing a map of the physical properties which led to the according projective measurements there exist several algorithms, for example direct methods such as Filtered-Backprojection, or iterative methods. Iterative methods can be classified into statistical approaches using the maximum-likelihood and into series expansion methods using linear equation systems. Consequently, there exist multiple algorithms in order to compute tomographic reconstructions.

Tasks

Subject of this Bachelor's thesis is the implementation of several such algorithms (e.g. SQS, OS-SQS, FGM, OGM) and a quantitative evaluation of their performance for the application to tomographic reconstruction.

Requirements

Scientific programming, strong mathematical background, C++ programming skills.