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dissertation.pdf (1.46 MB)
ETD Abstract Container
Abstract Header
On Bodies Whose Shadows Are Related Via Rigid Motions
Author Info
Cordier, Michelle Renee
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1429547907
Abstract Details
Year and Degree
2015, PHD, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
I consider the following problems from Tomography. Suppose that the projections (sections) of two given bodies onto (by) every subspace of a fixed dimension are related by a certain condition. Does this imply that the bodies satisfy a similar condition in the ambient space? There are two major parts to this dissertation. The first one is on bodies with directly congruent projections or sections. The second part is about containment of two bodies and relations between their volumes, provided the projections (sections) of the first body can be rotated to be contained in the corresponding projection (section) of the second one.
Committee
Dmitry Ryabogin (Advisor)
Artem Zvavitch (Committee Member)
Joseph Diestel (Committee Member)
Feodor Dragan (Committee Member)
Peter Tandy (Committee Member)
Pages
110 p.
Subject Headings
Mathematics
Keywords
Convex geometry
;
Tomography
;
Harmonic Analysis
;
Differential Geometry
;
Topology
;
projections
;
sections
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Citations
Cordier, M. R. (2015).
On Bodies Whose Shadows Are Related Via Rigid Motions
[Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1429547907
APA Style (7th edition)
Cordier, Michelle.
On Bodies Whose Shadows Are Related Via Rigid Motions.
2015. Kent State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1429547907.
MLA Style (8th edition)
Cordier, Michelle. "On Bodies Whose Shadows Are Related Via Rigid Motions." Doctoral dissertation, Kent State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1429547907
Chicago Manual of Style (17th edition)
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Document number:
kent1429547907
Download Count:
363
Copyright Info
© 2015, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.