Date of Award
2012
Document Type
Honors Thesis (Open Access)
Department
Colby College. Mathematics and Statistics Dept.
Advisor(s)
Alan Von Herrmann
Second Advisor
Fernando Gouvea
Abstract
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.
Keywords
tomography, radon, imaging
Recommended Citation
Beatty, Jen, "The Radon Transform and the Mathematics of Medical Imaging" (2012). Honors Theses. Paper 646.https://digitalcommons.colby.edu/honorstheses/646
Multimedia URL
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Included in
Analytical, Diagnostic and Therapeutic Techniques and Equipment Commons, Applied Mathematics Commons