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The Radon Transform And The Mathematics Of Medical Imaging, Jen Beatty
The Radon Transform And The Mathematics Of Medical Imaging, Jen Beatty
Honors Theses
Tomography is the mathematical process of imaging an object via a set of finite slices. In medical imaging, these slices are defined by multiple parallel X-ray beams shot through the object at varying angles. The initial and final intensity of each beam is recorded, and the original image is recreated using this data for multiple slices. I will discuss the central role of the Radon transform and its inversion formula in this recovery process.