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Towards a mathematical model for single molecule structured illumination microscopy
Author(s) -
Hockmann Mathias,
Kunis Stefan,
Kurre Rainer
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000075
Subject(s) - microscopy , resolution (logic) , super resolution microscopy , pencil (optics) , computer science , algorithm , optical microscope , molecule , matrix (chemical analysis) , optics , biological system , artificial intelligence , physics , chemistry , scanning confocal electron microscopy , biology , chromatography , quantum mechanics , scanning electron microscope
While structured illumination microscopy (SIM) is a widely used super‐resolution microscopy technique for densely labelled samples, we apply a modified version of the matrix pencil method to single molecule imaging. We prove that under reasonable conditions we can recover up to two times more molecule positions compared to conventional microscopy exactly from noiseless data and include numerical examples illustrating benefits as well as limitations of the algorithm.