A RANDOMIZED MULTIVARIATE MATRIX PENCIL METHOD FOR SUPERRESOLUTION MICROSCOPY
DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Ehler, Martin | |
dc.contributor.author | Kunis, Stefan | |
dc.contributor.author | Peter, Thomas | |
dc.contributor.author | Richter, Christian | |
dc.date.accessioned | 2021-12-23T16:10:14Z | - |
dc.date.available | 2021-12-23T16:10:14Z | - |
dc.date.issued | 2019 | |
dc.identifier.issn | 10689613 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/9232 | - |
dc.description.abstract | The matrix pencil method is an eigenvalue-based approach for the parameter identification of sparse exponential sums. We derive a reconstruction algorithm for multivariate exponential sums that is based on simultaneous diagonalization. Randomization is used and quantified to reduce the simultaneous diagonalization to the eigendecomposition of a single random matrix. To verify feasibility, the algorithm is applied to synthetic and experimental fluorescence microscopy data. | |
dc.description.sponsorship | [WWTF-VRG12-009]; [DAAD-P.R.I.M.E. 57338904]; [FWF-P30148]; [DFG-SFB944]; The authors thank both referees for their valuable suggestions and additional pointers to related literature. Moreover, we gratefully acknowledge support by the projects WWTF-VRG12-009, DAAD-P.R.I.M.E. 57338904, FWF-P30148, and DFG-SFB944. | |
dc.language.iso | en | |
dc.publisher | KENT STATE UNIVERSITY | |
dc.relation.ispartof | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | |
dc.subject | exponential sum | |
dc.subject | EXPONENTIAL-SUMS | |
dc.subject | frequency analysis | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | moment problem | |
dc.subject | PARAMETER-ESTIMATION | |
dc.subject | PRONYS METHOD | |
dc.subject | spectral analysis | |
dc.subject | superresolution | |
dc.title | A RANDOMIZED MULTIVARIATE MATRIX PENCIL METHOD FOR SUPERRESOLUTION MICROSCOPY | |
dc.type | journal article | |
dc.identifier.doi | 10.1553/etna_vol51s63 | |
dc.identifier.isi | ISI:000504757300004 | |
dc.description.volume | 51 | |
dc.description.startpage | 63 | |
dc.description.endpage | 74 | |
dc.publisher.place | ETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 44242-0001 USA | |
dcterms.isPartOf.abbreviation | Electron. Trans. Numer. Anal. | |
dcterms.oaStatus | Bronze, Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | KuSt212 | - |
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geprüft am 06.06.2024