EFFECTIVE DISCRETIZATION OF DIRECT RECONSTRUCTION SCHEMES FOR PHOTOACOUSTIC IMAGING IN SPHERICAL GEOMETRIES

DC FieldValueLanguage
dc.contributor.authorFilbir, Frank
dc.contributor.authorKunis, Stefan
dc.contributor.authorSeyfried, Ruben
dc.date.accessioned2021-12-23T16:17:10Z-
dc.date.available2021-12-23T16:17:10Z-
dc.date.issued2014
dc.identifier.issn00361429
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/12233-
dc.description.abstractRecently, kernel methods for the recovery of a function from its spherical means in spherical acquisition geometry have been proposed. We present efficient algorithms for these formulas in the two- and three-dimensional cases. Our scheme applies Fourier techniques for certain convolution type integrals and discretizes physical space on a polar and a spherical grid, respectively.
dc.description.sponsorshipGerman Research FoundationGerman Research Foundation (DFG) [KU 2557/1-1]; Helmholtz AssociationHelmholtz Association [VH-NG-526]; The authors' research was supported by the German Research Foundation with project KU 2557/1-1 and by the Helmholtz Association with project VH-NG-526.
dc.language.isoen
dc.publisherSIAM PUBLICATIONS
dc.relation.ispartofSIAM JOURNAL ON NUMERICAL ANALYSIS
dc.subjectfast Fourier transform
dc.subjectINVERSION
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectradon transform
dc.subjectspherical means
dc.subjectTOMOGRAPHY
dc.titleEFFECTIVE DISCRETIZATION OF DIRECT RECONSTRUCTION SCHEMES FOR PHOTOACOUSTIC IMAGING IN SPHERICAL GEOMETRIES
dc.typejournal article
dc.identifier.doi10.1137/130944898
dc.identifier.isiISI:000346842100006
dc.description.volume52
dc.description.issue6
dc.description.startpage2722
dc.description.endpage2742
dc.identifier.eissn10957170
dc.publisher.place3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
dcterms.isPartOf.abbreviationSIAM J. Numer. Anal.
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidKuSt212-
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