Vis enkel innførsel

dc.contributor.authorBrander, Tommi Olavi
dc.contributor.authorIlmavirta, Joonas
dc.contributor.authorPiiroinen, Petteri
dc.contributor.authorTyni, Teemu
dc.date.accessioned2020-11-12T08:01:42Z
dc.date.available2020-11-12T08:01:42Z
dc.date.created2020-11-09T11:14:49Z
dc.date.issued2020
dc.identifier.citationInverse Problems and Imaging. 2020, 14 (6), 967-983.en_US
dc.identifier.issn1930-8337
dc.identifier.urihttps://hdl.handle.net/11250/2687494
dc.description.abstractWe study an inverse problem where an unknown radiating source is observed with collimated detectors along a single line and the medium has a known attenuation. The research is motivated by applications in SPECT and beam hardening. If measurements are carried out with frequencies ranging in an open set, we show that the source density is uniquely determined by these measurements up to averaging over levelsets of the integrated attenuation. This leads to a generalized Laplace transform. We also discuss some numerical approaches and demonstrate the results with several examples.en_US
dc.language.isoengen_US
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en_US
dc.titleOptimal recovery of a radiating source with multiple frequencies along one lineen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.source.pagenumber967-983en_US
dc.source.volume14en_US
dc.source.journalInverse Problems and Imagingen_US
dc.source.issue6en_US
dc.identifier.doi10.3934/ipi.2020044
dc.identifier.cristin1846070
dc.description.localcodeLocked until 1.12.2021 due to copyright restrictions.© 2020 American Institute of Mathematical Sciences. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: 10.3934/ipi.2020044en_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.fulltextpostprint
cristin.fulltextpreprint
cristin.qualitycode1


Tilhørende fil(er)

Thumbnail

Denne innførselen finnes i følgende samling(er)

Vis enkel innførsel