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Non-local total variation in sparse and limited angle computerized tomography

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dc.date.accessioned 2017-08-31T06:21:28Z und
dc.date.accessioned 2017-10-24T12:22:14Z
dc.date.available 2017-08-31T06:21:28Z und
dc.date.available 2017-10-24T12:22:14Z
dc.date.issued 2017-08-31T06:21:28Z
dc.identifier.uri http://radr.hulib.helsinki.fi/handle/10138.1/6147 und
dc.identifier.uri http://hdl.handle.net/10138.1/6147
dc.title Non-local total variation in sparse and limited angle computerized tomography en
ethesis.discipline Applied Mathematics en
ethesis.discipline Soveltava matematiikka fi
ethesis.discipline Tillämpad matematik sv
ethesis.discipline.URI http://data.hulib.helsinki.fi/id/2646f59d-c072-44e7-b1c1-4e4b8b798323
ethesis.department.URI http://data.hulib.helsinki.fi/id/61364eb4-647a-40e2-8539-11c5c0af8dc2
ethesis.department Institutionen för matematik och statistik sv
ethesis.department Department of Mathematics and Statistics en
ethesis.department Matematiikan ja tilastotieteen laitos fi
ethesis.faculty Matematisk-naturvetenskapliga fakulteten sv
ethesis.faculty Matemaattis-luonnontieteellinen tiedekunta fi
ethesis.faculty Faculty of Science en
ethesis.faculty.URI http://data.hulib.helsinki.fi/id/8d59209f-6614-4edd-9744-1ebdaf1d13ca
ethesis.university.URI http://data.hulib.helsinki.fi/id/50ae46d8-7ba9-4821-877c-c994c78b0d97
ethesis.university Helsingfors universitet sv
ethesis.university University of Helsinki en
ethesis.university Helsingin yliopisto fi
dct.creator Djurabekova, Nargiza
dct.issued 2017
dct.language.ISO639-2 eng
dct.abstract Sparse and limited angle tomography are common techniques used in computerized tomography to understand the inner working of live and inanimate objects with a reduced radiation dose. Unfortunately due to the lack of full data, these problems are often severely ill-posed and need powerful regularization strategies to create good reconstructions. One such tool is total variation, which creates good but patchy reconstructions. In this paper we analyze the use of non-local total variation as a way to improve the reconstruction quality. The analysis involves using both, simulated and real world data and comparing the TV reconstructions with the NLTV ones. The results leas us to believe that NLTV is particularly efficient and superior tool in sparse tomography, but further research is required to improve TV's limited-angle reconstructions. en
dct.language en
ethesis.language.URI http://data.hulib.helsinki.fi/id/languages/eng
ethesis.language English en
ethesis.language englanti fi
ethesis.language engelska sv
ethesis.thesistype pro gradu-avhandlingar sv
ethesis.thesistype pro gradu -tutkielmat fi
ethesis.thesistype master's thesis en
ethesis.thesistype.URI http://data.hulib.helsinki.fi/id/thesistypes/mastersthesis
dct.identifier.urn URN:NBN:fi-fe2017112251690
dc.type.dcmitype Text

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