AN ANALYSIS OF ERRORS IN THE ALGEBRAIC RECONSTRUCTION TECHNIQUE WITH AN APPLICATION TO GEOTOMOGRAPHY.

Persistent Link:
http://hdl.handle.net/10150/186415
Title:
AN ANALYSIS OF ERRORS IN THE ALGEBRAIC RECONSTRUCTION TECHNIQUE WITH AN APPLICATION TO GEOTOMOGRAPHY.
Author:
DOERR, THOMAS ANTHONY.
Issue Date:
1983
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
In this work, an application of the algebraic reconstruction technique to a borehole reconstruction problem is considered. The formulation of the borehole problem gives the attendant electromagnetic wave equations in matrix form. The algebraic reconstruction technique is used to reconstruct a solution. Three sources of errors are identified in the reconstruction process. Suggestions are made which will help minimize or predict the effects of these errors. General limitations of the algebraic reconstruction technique are discussed. The limitations in terms of the borehole problem are explained. Practical limitations for the borehole problem are thus obtained and quantified mathematically. It is found that even in some practical situations, the borehole reconstruction process is impossible.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Algebraic topology.; Borehole mining -- Mathematical models.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleAN ANALYSIS OF ERRORS IN THE ALGEBRAIC RECONSTRUCTION TECHNIQUE WITH AN APPLICATION TO GEOTOMOGRAPHY.en_US
dc.creatorDOERR, THOMAS ANTHONY.en_US
dc.contributor.authorDOERR, THOMAS ANTHONY.en_US
dc.date.issued1983en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIn this work, an application of the algebraic reconstruction technique to a borehole reconstruction problem is considered. The formulation of the borehole problem gives the attendant electromagnetic wave equations in matrix form. The algebraic reconstruction technique is used to reconstruct a solution. Three sources of errors are identified in the reconstruction process. Suggestions are made which will help minimize or predict the effects of these errors. General limitations of the algebraic reconstruction technique are discussed. The limitations in terms of the borehole problem are explained. Practical limitations for the borehole problem are thus obtained and quantified mathematically. It is found that even in some practical situations, the borehole reconstruction process is impossible.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectAlgebraic topology.en_US
dc.subjectBorehole mining -- Mathematical models.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.identifier.proquest8319718en_US
dc.identifier.oclc689058806en_US
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