An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensing

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dc.contributor.advisorZhang, Yinen_US
dc.creatorLi, Chengboen_US
dc.date.accessioned2011-07-25T02:07:46Zen_US
dc.date.available2011-07-25T02:07:46Zen_US
dc.date.issued2010en_US
dc.description.abstractIn this thesis, I propose and study an efficient algorithm for solving a class of compressive sensing problems with total variation regularization. This research is motivated by the need for efficient solvers capable of restoring images to a high quality captured by the single pixel camera developed in the ECE department of Rice University. Based on the ideas of the augmented Lagrangian method and alternating minimization to solve subproblems, I develop an efficient and robust algorithm called TVAL3. TVAL3 is compared favorably with other widely used algorithms in terms of reconstruction speed and quality. Convincing numerical results are presented to show that TVAL3 is suitable for the single pixel camera as well as many other applications.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS COMP.SCI. 2010 LIen_US
dc.identifier.citationLi, Chengbo. "An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensing." (2010) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/62229">https://hdl.handle.net/1911/62229</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/62229en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectApplied mathematicsen_US
dc.subjectGeologyen_US
dc.subjectOperations researchen_US
dc.titleAn efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensingen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputer Scienceen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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