A Randomized Multivariate Matrix Pencil Method for Superresolution Microscopy

Autor(en)

Martin Ehler, Stefan Kunis, Thomas Peter, Christian Richter

Abstrakt

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.

Organisation(en)

Institut für Mathematik

Externe Organisation(en)

Universität Osnabrück

Journal

Electronic Transactions on Numerical Analysis

Band

51

Seiten

63 - 74

Anzahl der Seiten

12

DOI

https://doi.org/10.1553/etna_vol51s63

Publikationsdatum

2019

Peer-reviewed

Ja

ÖFOS 2012

101014 Numerische Mathematik

Schlagwörter

ASJC Scopus Sachgebiete

Analysis

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/ca0ea994-a350-43db-be96-9eb356c59189