Persistent Link:
http://hdl.handle.net/10150/277932
Title:
Reconstruction of an axisymmetric image from its noisy projection
Author:
Yuen, Patrick Wingkee, 1965-
Issue Date:
1991
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:
The Abel inversion is used to reconstruct an axisymmetric image from a one-dimensional projection. It finds application in a wide variety of fields, such as astronomy, optical-fiber refractive-index measurements and spray-droplet studies where the geometry is often cylindrically or spherically symmetric. However, all Abel inversion methods have drawbacks. One such arises from the singularity in the lower limit of the integral. The smoothing techniques also usually consume a large amount of computer time and the error propagation calculations are tedious. Two methods with a different approach are presented in this thesis. They are the Integral transforms and the onion-peeling method. They are both easier and simpler to compute. Also, no curve fitting is needed and the problem of handling the singularity will not arise. The noise and artifact properties of these two methods are investigated.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Engineering, Electronics and Electrical.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College
Degree Grantor:
University of Arizona
Advisor:
Strickland, Robin N.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleReconstruction of an axisymmetric image from its noisy projectionen_US
dc.creatorYuen, Patrick Wingkee, 1965-en_US
dc.contributor.authorYuen, Patrick Wingkee, 1965-en_US
dc.date.issued1991en_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.abstractThe Abel inversion is used to reconstruct an axisymmetric image from a one-dimensional projection. It finds application in a wide variety of fields, such as astronomy, optical-fiber refractive-index measurements and spray-droplet studies where the geometry is often cylindrically or spherically symmetric. However, all Abel inversion methods have drawbacks. One such arises from the singularity in the lower limit of the integral. The smoothing techniques also usually consume a large amount of computer time and the error propagation calculations are tedious. Two methods with a different approach are presented in this thesis. They are the Integral transforms and the onion-peeling method. They are both easier and simpler to compute. Also, no curve fitting is needed and the problem of handling the singularity will not arise. The noise and artifact properties of these two methods are investigated.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectEngineering, Electronics and Electrical.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorStrickland, Robin N.en_US
dc.identifier.proquest1345389en_US
dc.identifier.bibrecord.b27003620en_US
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