A common image formation process in high-energy X-ray radiography is to have a pulsed power source that emits X-rays through a scene, a scintillator that absorbs X-rays and fluoresces in the visible spectrum in response to the absorbed photons, and a charge-coupled device camera that images the visible light emitted from the scintillator. The intensity image is related to areal density, and, for an object that is radially symmetric about a central axis, the inverse Abel transform then gives the object's volumetric density. Two of the primary drawbacks to classical variational methods for Abel inversion are their sensitivity to the type and scale of regularization chosen and the lack of natural methods for quantifying the uncertainties associated with the reconstructions. In this work we cast the Abel inversion problem within a statistical framework in order to compute volumetric object densities from X-ray radiographs and to quantify uncertainties in the reconstruction. A hierarchical Bayesian model is de...
['Marylesa Howard', 'Michael Fowler', 'Aaron Luttman', 'Stephen E. Mitchell', 'Margaret C. Hock']
Bayesian Abel Inversion in Quantitative X-Ray Radiography