Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays

Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays

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 i...

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Bibliographic Details
Main Author: Lauzon, Michael
Format: Others
Published: Scholarship @ Claremont 2000
Subjects:
Convex Bodies
X-Rays
Tomography
Online Access:https://scholarship.claremont.edu/hmc_theses/121
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1124&context=hmc_theses
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spelling ndltd-CLAREMONT-oai-scholarship.claremont.edu-hmc_theses-11242019-10-16T03:06:13Z Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays Lauzon, Michael 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. 2000-05-01T07:00:00Z text application/pdf https://scholarship.claremont.edu/hmc_theses/121 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1124&context=hmc_theses HMC Senior Theses Scholarship @ Claremont Convex Bodies X-Rays Tomography
collection NDLTD
format Others
sources NDLTD
topic Convex Bodies
X-Rays
Tomography
spellingShingle Convex Bodies
X-Rays
Tomography
Lauzon, Michael
Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays
description 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.
author Lauzon, Michael
author_facet Lauzon, Michael
author_sort Lauzon, Michael
title Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays
title_short Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays
title_full Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays
title_fullStr Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays
title_full_unstemmed Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays
title_sort reconstruction of convex bodies in the plane from three non-collinear point source directed x-rays
publisher Scholarship @ Claremont
publishDate 2000
url https://scholarship.claremont.edu/hmc_theses/121
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1124&context=hmc_theses
work_keys_str_mv AT lauzonmichael reconstructionofconvexbodiesintheplanefromthreenoncollinearpointsourcedirectedxrays
_version_ 1719268831293079552

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