Open Access Senior Thesis
Bachelor of Science
When one takes an x-ray, one learns how much material is along the line between the x-ray source and the x-ray sensor. The goal of tomography is to learn what one can about an object, by knowing how much material is on a collection of lines or rays passing through that object. Mathematically, this is a collection of line integrals of density function of the object. In this paper, we provide and prove reconstructions for a class of convex objects of uniform density using x-rays from three point sources.
Lauzon, Michael, "Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays" (2000). HMC Senior Theses. 121.