BaStatisticalReconAxdt

Chair for Computer Aided Medical Procedures & Augmented Reality
Lehrstuhl für Informatikanwendungen in der Medizin & Augmented Reality

Bachelors's thesis: Statistical Reconstruction Methods for Anisotropic X-ray Dark-field Tomography

Thesis by: Nathanael Schilling
Advisor: Bjoern Menze
Supervision by: Matthias Wieczorek; Tobias Lasser

Abstract

X-ray grating interferometry enables the simultaneous acquisition of absorption contrast, phase contrast and dark-field contrast. The directionally dependent dark-field data allows the tomographic reconstruction of anisotropic scattering coefficients inside the sample. This allows the recovery of structural orientations without the need to explicitly resolve them in the X-ray detector. The anisotropic scattering coefficients can be represented as spherical functions, such as spherical harmonics. Based on a closed-form spherical harmonics based forward model, the anisotropic dark-field data can be reconstructed in three dimensions. We refer to this technique as "Anisotropic X-ray Dark-field Tomography", or in short AXDT.

Tasks

Subject of this Bachelor's thesis is the investigation of statistical reconstruction methods for AXDT. The aim is to derive a Rician likelihood-based forward model for directional dark-field reconstruction, its implementation in our existing C++ reconstruction framework, as well as the quantitative evaluation of its performance using non-biological dark-field data.

Requirements

Scientific programming, strong mathematic background, C++

Contact


ProjectForm
Title: Statistical Reconstruction Methods for Anisotropic X-ray Dark-field Tomography
Abstract: X-ray grating interferometry enables the simultaneous acquisition of absorption contrast, phase contrast and dark-field contrast. The directionally dependent dark-field data allows the tomographic reconstruction of anisotropic scattering coefficients inside the sample. This allows the recovery of structural orientations without the need to explicitly resolve them in the X-ray detector. The anisotropic scattering coefficients can be represented as spherical functions, such as spherical harmonics. Based on a closed-form spherical harmonics based forward model, the anisotropic dark-field data can be reconstructed in three dimensions. We refer to this technique as "Anisotropic X-ray Dark-field Tomography", or in short AXDT.
Student: Nathanael Schilling
Director: Bjoern Menze
Supervisor: Matthias Wieczorek; Tobias Lasser
Type: Bachelor Thesis
Area: Medical Imaging
Status: finished
Start: 2016/10/15
Finish: 2017/02/15
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