Fast live cell imaging at nanometer scale using annihilating filter-based low-rank Hankel matrix approach

Junhong Min; Lina Carlini; Michael Unser; Suliana Manley; Jong Chul Ye

doi:10.1117/12.2187393

11 September 2015 Fast live cell imaging at nanometer scale using annihilating filter-based low-rank Hankel matrix approach

Junhong Min, Lina Carlini, Michael Unser, Suliana Manley, Jong Chul Ye

Author Affiliations +

Proceedings Volume 9597, Wavelets and Sparsity XVI; 95970V (2015) https://doi.org/10.1117/12.2187393
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

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 FALCON^{1, 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.

Citation Download Citation

Junhong Min, Lina Carlini, Michael Unser, Suliana Manley, and Jong Chul Ye "Fast live cell imaging at nanometer scale using annihilating filter-based low-rank Hankel matrix approach", Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970V (11 September 2015); https://doi.org/10.1117/12.2187393

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