This dissertation addresses the challenge of assessing the thickness and density of thin cortical bone.Due to the limited spatial resolution of Quantitative Computed Tomography (QCT) the Nyquist-Shannon sampling theorem is violated, making direct reconstruction impossible.To overcome this, a probabilistic Analysis by Synthesis (AbS) framework is proposed that exploits the geometry of the bone and the anisotropy of the CT point spread function.By modeling uncertainties through a bone and measurement model, the AbS optimization is framed as a maximum a posteriori problem, using a Monte Carlo...

This dissertation addresses the challenge of assessing the thickness and density of thin cortical bone.Due to the limited spatial resolution of Quantitative Computed Tomography (QCT) the Nyquist-Shannon sampling theorem is violated, making direct reconstruction impossible.To overcome this, a probabilistic Analysis by Synthesis (AbS) framework is proposed that exploits the geometry of the bone and the anisotropy of the CT point spread function.By modeling uncertainties through a bone and measurement model, the AbS optimization is framed as a maximum a posteriori problem, using a Monte Carlo...