Four-dimensional X-ray tomography
Update: 2014-02-27
Description
In recent years, mathematical methods have enabled three-dimensional medical X-ray imaging using much lower radiation dose than before. One example of products based on such approach is the 3D dental X-ray imaging device called VT, manufactured by Palodex Group. The idea is to collect fewer projection images than traditional computerized tomography machines and then use advanced mathematics to reconstruct the tissue from such incomplete data. The idea can be taken further by placing several pairs of X-ray source and detector "filming" the patient from many directions at the same time. This allows in principle recovering the three-dimensional inner structure as a function of time. There are many potential commercial applications of such a novel imaging modality: cardiac imaging, angiography, small animal imaging and nondestructive testing. However, new regularized inversion methods are needed for imaging based on such special type of data. A novel level-set type method is introduced for that purpose, enforcing continuity in space-time in a robust and reliable way. Tentative computational results are shown, based on both simulated and measured data. The results suggest that the new imaging modality is promising for practical applications.
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