A Randomized Multivariate Matrix Pencil Method for Superresolution Microscopy
Numerical Analysis
2018-05-17 v2
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.
Cite
@article{arxiv.1805.02485,
title = {A Randomized Multivariate Matrix Pencil Method for Superresolution Microscopy},
author = {Martin Ehler and Stefan Kunis and Thomas Peter and Christian Richter},
journal= {arXiv preprint arXiv:1805.02485},
year = {2018}
}