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Proceedings Paper

Fast live cell imaging at nanometer scale using annihilating filter-based low-rank Hankel matrix approach
Author(s): Junhong Min; Lina Carlini; Michael Unser; Suliana Manley; Jong Chul Ye
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Paper Abstract

Localization microscopy such as STORM/PALM can achieve a nanometer scale spatial resolution by iteratively localizing fluorescence molecules. It was shown that imaging of densely activated molecules can accelerate temporal resolution which was considered as major limitation of localization microscopy. However, this higher density imaging needs to incorporate advanced localization algorithms to deal with overlapping point spread functions (PSFs). In order to address this technical challenges, previously we developed a localization algorithm called FALCON1, 2 using a quasi-continuous localization model with sparsity prior on image space. It was demonstrated in both 2D/3D live cell imaging. However, it has several disadvantages to be further improved. Here, we proposed a new localization algorithm using annihilating filter-based low rank Hankel structured matrix approach (ALOHA). According to ALOHA principle, sparsity in image domain implies the existence of rank-deficient Hankel structured matrix in Fourier space. Thanks to this fundamental duality, our new algorithm can perform data-adaptive PSF estimation and deconvolution of Fourier spectrum, followed by truly grid-free localization using spectral estimation technique. Furthermore, all these optimizations are conducted on Fourier space only. We validated the performance of the new method with numerical experiments and live cell imaging experiment. The results confirmed that it has the higher localization performances in both experiments in terms of accuracy and detection rate.

Paper Details

Date Published: 11 September 2015
PDF: 8 pages
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970V (11 September 2015); doi: 10.1117/12.2187393
Show Author Affiliations
Junhong Min, KAIST (Korea, Republic of)
Lina Carlini, École Polytechnique Fédérale de Lausanne (Switzerland)
Michael Unser, École Polytechnique Fédérale de Lausanne (Switzerland)
Suliana Manley, École Polytechnique Fédérale de Lausanne (Switzerland)
Jong Chul Ye, KAIST (Korea, Republic of)

Published in SPIE Proceedings Vol. 9597:
Wavelets and Sparsity XVI
Manos Papadakis; Vivek K. Goyal; Dimitri Van De Ville, Editor(s)

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