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Exploring the Existence of Null Spaces in Mediated-Reality Supplemented Methods to X-ray Attenuation Estimation

Previous efforts to estimate energy dependent X-ray attenuation information for various materials given a traditional radiograph formed from a Bremsstrahlung source profile have shown that the estimation degraded by the non-linearities in the system as well as the potential presence of null spaces in the approximation of the system. This work will explore simulations of the image formation operator to identify numerical stability and computational challenges associated with estimating the attenuation information of various materials using a variety of energy configurations including narrow bandwidth detectors and sources.

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