Applying linear algebra to image deblurring

dc.contributor.advisorJamieson, William T.
dc.contributor.authorSanborn, John Julian
dc.contributor.committeeMemberMatthews, Lowell Chris
dc.date.accessioned2019-05-05T20:29:50Z
dc.date.available2019-05-05T20:29:50Z
dc.date.issued2019-05
dc.description.abstractThis thesis expands on the concepts taught in Applied Linear Algebra (MAT-350), using singular value decomposition (SVD) and discrete cosine transform (DCT), with a focus on image deblurring. The principles discussed throughout this thesis were guided by the readings of Deblurring Images Matrices, Spectra, and Filtering by Christian Hansen, James Nagy, and Dianne O’Leary. The thesis will focus on various techniques that were used to deblur an image, how the SVD and DCT were applied, and the results applied to a blurred photo. The mathematics are made easier using MATLAB’s built-in tools including: The Signal Processing Toolbox (SPT) and the Image Processing Toolbox (IPT) as well as tools created by the authors of Deblurring Images Matrices, Spectra, and Filtering. The goal of this project is to not only learn the theoretical side of the mathematics behind image deblurring, but also to write code to implement various techniques used to deblur an image. (Author abstract)en_US
dc.description.bibliographicCitationSanborn, J.J. (2019). Applying linear algebra to image deblurring. Retrieved from http://academicarchive.snhu.eduen_US
dc.digSpecsPDFen_US
dc.identifier.urihttps://hdl.handle.net/10474/3516
dc.language.isoen_USen_US
dc.publisherSouthern New Hampshire Universityen_US
dc.relation.requiresAdobe Acrobat Readeren_US
dc.rightsAuthor retains all ownership rights. Further reproduction in violation of copyright is prohibiteden_US
dc.rightsHolderSanborn, John Julian
dc.subject.lcshSouthern New Hampshire University -- Theses (Honors)en_US
dc.subject.othersingular value decompositionen_US
dc.subject.otherdiscrete cosine transformen_US
dc.subject.othermatrix decompositionen_US
dc.subject.otherspectral filteringen_US
dc.titleApplying linear algebra to image deblurringen_US
dc.typeThesisen_US
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