An algorithm for total variation regularized photoacoustic imaging
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Dong, Yiqiu | |
dc.contributor.author | Gorner, Torsten | |
dc.contributor.author | Kunis, Stefan | |
dc.date.accessioned | 2021-12-23T16:17:54Z | - |
dc.date.available | 2021-12-23T16:17:54Z | - |
dc.date.issued | 2015 | |
dc.identifier.issn | 10197168 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/12452 | - |
dc.description.abstract | Recovery of image data from photoacoustic measurements asks for the inversion of the spherical mean value operator. In contrast to direct inversion methods for specific geometries, we consider a semismooth Newton scheme to solve a total variation regularized least squares problem. During the iteration, each matrix vector multiplication is realized in an efficient way using a recently proposed spectral discretization of the spherical mean value operator. All theoretical results are illustrated by numerical experiments. | |
dc.description.sponsorship | German Research FoundationGerman Research Foundation (DFG) [KU 2557/1-2]; Helmholtz AssociationHelmholtz Association [VH-NG-526]; The authors thank the referees for their valuable suggestions and acknowledge support by the German Research Foundation within the project KU 2557/1-2 and by the Helmholtz Association within the young investigator group VH-NG-526. | |
dc.language.iso | en | |
dc.publisher | SPRINGER | |
dc.relation.ispartof | ADVANCES IN COMPUTATIONAL MATHEMATICS | |
dc.subject | EFFICIENT | |
dc.subject | Fast Fourier transform | |
dc.subject | INVERSION FORMULAS | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | Photoacoustic imaging | |
dc.subject | RECONSTRUCTION | |
dc.subject | Spherical mean operator | |
dc.subject | TOMOGRAPHY | |
dc.subject | Total variation regularization | |
dc.subject | TRANSFORM | |
dc.title | An algorithm for total variation regularized photoacoustic imaging | |
dc.type | journal article | |
dc.identifier.doi | 10.1007/s10444-014-9364-1 | |
dc.identifier.isi | ISI:000353215300008 | |
dc.description.volume | 41 | |
dc.description.issue | 2 | |
dc.description.startpage | 423 | |
dc.description.endpage | 438 | |
dc.contributor.orcid | 0000-0001-8363-9448 | |
dc.identifier.eissn | 15729044 | |
dc.publisher.place | 233 SPRING ST, NEW YORK, NY 10013 USA | |
dcterms.isPartOf.abbreviation | Adv. Comput. Math. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | KuSt212 | - |
Seitenaufrufe
5
Letzte Woche
0
0
Letzter Monat
1
1
geprüft am 06.06.2024