Show simple item record

dc.contributor.authorGrodzevich, Olegen
dc.date.accessioned2006-08-22 14:29:56 (GMT)
dc.date.available2006-08-22 14:29:56 (GMT)
dc.date.issued2004en
dc.date.submitted2004en
dc.identifier.urihttp://hdl.handle.net/10012/1159
dc.description.abstractWe present a new method for regularization of ill-conditioned problems that extends the traditional trust-region approach. Ill-conditioned problems arise, for example, in image restoration or mathematical processing of medical data, and involve matrices that are very ill-conditioned. The method makes use of the L-curve and L-curve maximum curvature criterion as a strategy recently proposed to find a good regularization parameter. We describe the method and show its application to an image restoration problem. We also provide a MATLAB code for the algorithm. Finally, a comparison to the CGLS approach is given and analyzed, and future research directions are proposed.en
dc.formatapplication/pdfen
dc.format.extent653697 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2004, Grodzevich, Oleg. All rights reserved.en
dc.subjectMathematicsen
dc.subjectregularizationen
dc.subjectill-poseden
dc.subjectinverse imaging problemen
dc.subjectnumerically harden
dc.subjectrobustnessen
dc.subjectalgorithmsen
dc.subjectprogrammingen
dc.subjectefficiencyen
dc.subjectconjugate gradienten
dc.titleRegularization Using a Parameterized Trust Region Subproblemen
dc.typeMaster Thesisen
dc.pendingfalseen
uws-etd.degree.departmentCombinatorics and Optimizationen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record


UWSpace

University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages