Anisotropic Harmonic Analysis and Integration of Remotely Sensed Data

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dc.contributor.advisorCzaja, Wojciechen_US
dc.contributor.advisorBenedetto, John J.en_US
dc.contributor.authorMurphy, James Michaelen_US
dc.contributor.departmentMathematicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2015-06-26T05:42:54Z
dc.date.available2015-06-26T05:42:54Z
dc.date.issued2015en_US
dc.description.abstractThis thesis develops the theory of discrete directional Gabor frames and several algorithms for the analysis of remotely sensed image data, based on constructions of harmonic analysis. The problems of image registration, image superresolution, and image fusion are separate but interconnected; a general approach using transform methods is the focus of this thesis. The methods of geometric multiresolution analysis are explored, particularly those related to the shearlet transform. Using shearlets, a novel method of image registration is developed that aligns images based on their shearlet features. Additionally, the anisotropic nature of the shearlet transform is deployed to smoothly superrsolve remotely-sensed image with edge features. Wavelet packets, a generalization of wavelets, are utilized for a flexible image fusion algorithm. The interplay between theoretical guarantees for these mathematical constructions, and their effectiveness for image processing is explored throughout.en_US
dc.identifierhttps://doi.org/10.13016/M2863B
dc.identifier.urihttp://hdl.handle.net/1903/16656
dc.language.isoenen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pquncontrolledGabor Theoryen_US
dc.subject.pquncontrolledHarmonic Analysisen_US
dc.subject.pquncontrolledImage Registrationen_US
dc.subject.pquncontrolledShearletsen_US
dc.subject.pquncontrolledSuperresolutionen_US
dc.subject.pquncontrolledWaveletsen_US
dc.titleAnisotropic Harmonic Analysis and Integration of Remotely Sensed Dataen_US
dc.typeDissertationen_US

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