Bachelor's thesis: Manifold-based regularization of spherical functions in Anisotropic X-ray Dark-field Tomography
Thesis by: Nikola Dinev
Advisor:
Tobias Lasser
Abstract
Anisotropic X-ray Dark-field Tomography (AXDT) enables the visualization of microstructure orientations without having to explicitly resolve them. Based on the directionally dependent X-ray dark-field signal as measured by an X-ray grating interferometer and our spherical harmonics forward model, AXDT reconstructs spherical scattering functions for every volume position, which in turn allows the extraction of the microstructure orientations. Potential applications range from materials testing to medical diagnostics.
Tasks
Subject of this thesis is the regularization of the spherical scattering functions used in AXDT. The aim is to investigate manifold-based regularization approaches of spherical functions, to implement them in our C++ reconstruction framework, and to evaluate them against existing, non-regularized methods. In addition, the mode of application of the regularization may be investigated, for example as denoising after reconstruction or as alternating optimization during reconstruction.
Requirements
Scientific programming, strong mathematic background, C++
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