A RANDOMIZED MULTIVARIATE MATRIX PENCIL METHOD FOR SUPERRESOLUTION MICROSCOPY

DC ElementWertSprache
dc.contributor.authorEhler, Martin
dc.contributor.authorKunis, Stefan
dc.contributor.authorPeter, Thomas
dc.contributor.authorRichter, Christian
dc.date.accessioned2021-12-23T16:10:14Z-
dc.date.available2021-12-23T16:10:14Z-
dc.date.issued2019
dc.identifier.issn10689613
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9232-
dc.description.abstractThe 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.isoen
dc.publisherKENT STATE UNIVERSITY
dc.relation.ispartofELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
dc.subjectexponential sum
dc.subjectEXPONENTIAL-SUMS
dc.subjectfrequency analysis
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectmoment problem
dc.subjectPARAMETER-ESTIMATION
dc.subjectPRONYS METHOD
dc.subjectspectral analysis
dc.subjectsuperresolution
dc.titleA RANDOMIZED MULTIVARIATE MATRIX PENCIL METHOD FOR SUPERRESOLUTION MICROSCOPY
dc.typejournal article
dc.identifier.doi10.1553/etna_vol51s63
dc.identifier.isiISI:000504757300004
dc.description.volume51
dc.description.startpage63
dc.description.endpage74
dc.publisher.placeETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 44242-0001 USA
dcterms.isPartOf.abbreviationElectron. Trans. Numer. Anal.
dcterms.oaStatusBronze, Green Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidKuSt212-
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