Restoration of coherent signals and images from incomplete Fourier data

Persistent Link:
http://hdl.handle.net/10150/282433
Title:
Restoration of coherent signals and images from incomplete Fourier data
Author:
Walsh, David Oliver, 1966-
Issue Date:
1997
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:
Several new results are presented for applications involving the restoration of coherent signals and images from incomplete Fourier data. A closed form solution is derived for a class of iterative restoration algorithms. The closed form result may be used as a non-iterative implementation of the iterative algorithm. The closed form solution is also used to develop a simple, effective termination rule for the iterative algorithm. The utility of the new termination rule is demonstrated using simulated and experimental data. A solution technique is proposed for efficient restoration of bounded signals. The efficiency of the proposed technique is demonstrated via a one-dimensional slab dielectric profile inversion example. Finally, a difference image approach is proposed as a way to reduce the data requirements for 4-D magnetic resonance imaging of the cardiac cycle. The proposed technique is successfully applied to experimental MRI data, and future prospects for the approach are discussed.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Engineering, Electronics and Electrical.; Health Sciences, Radiology.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Electrical and Computer Science
Degree Grantor:
University of Arizona
Advisor:
Marcellin, Michael W.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleRestoration of coherent signals and images from incomplete Fourier dataen_US
dc.creatorWalsh, David Oliver, 1966-en_US
dc.contributor.authorWalsh, David Oliver, 1966-en_US
dc.date.issued1997en_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.abstractSeveral new results are presented for applications involving the restoration of coherent signals and images from incomplete Fourier data. A closed form solution is derived for a class of iterative restoration algorithms. The closed form result may be used as a non-iterative implementation of the iterative algorithm. The closed form solution is also used to develop a simple, effective termination rule for the iterative algorithm. The utility of the new termination rule is demonstrated using simulated and experimental data. A solution technique is proposed for efficient restoration of bounded signals. The efficiency of the proposed technique is demonstrated via a one-dimensional slab dielectric profile inversion example. Finally, a difference image approach is proposed as a way to reduce the data requirements for 4-D magnetic resonance imaging of the cardiac cycle. The proposed technique is successfully applied to experimental MRI data, and future prospects for the approach are discussed.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectEngineering, Electronics and Electrical.en_US
dc.subjectHealth Sciences, Radiology.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineElectrical and Computer Scienceen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorMarcellin, Michael W.en_US
dc.identifier.proquest9806820en_US
dc.identifier.bibrecord.b37555674en_US
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