Zernike Optimized Localization Algorithm ZOLA-3D Aristov, Lelandais, Rensen & Zimmer. Nature communication 2018 https://github.com/imodpasteur/ZOLA-3D Benoit Lelandais IMOD - Institut Pasteur Paris, France
ZOLA-3D Image formation model PSF({\color{Red} \boldsymbol{\mathbf{\Phi}}},\ boldsymbol{\mathbf{x}},\bol dsymbol{\mathbf{y}},{\color{ Mahogany} \boldsymbol{\mathbf{z}}},{\c olor{DarkGreen} \boldsymbol{\mathbf{f}}})=|\ mathcal{F}_{k_x,k_y}\rho(k_ x,k_y)e^{j{\color{Red} \boldsymbol{\mathbf{\Phi}}}( k_x,k_y)}e^{2\pi j(\boldsymbol{\mathbf{x}}k_x +\boldsymbol{\mathbf{y}}k_y )}e^{2\pi j({\color{Mahogany} \boldsymbol{\mathbf{z}}}{\co lor{NavyBlue} \boldsymbol{\mathbf{k_{z}}}} -{\color{DarkGreen} \boldsymbol{\mathbf{f}}}{\col or{YellowOrange} \boldsymbol{\mathbf{k_{f}}}} )}|^2
ZOLA-3D ZOLA-3D Calibration ● The phase is represented by a set of K zernike coefficients: ● Phase retrieval by maximum likelihood approach
ZOLA-3D ZOLA-3D - Localization Localization precision ZOLA-3D - post-processing Goodness of fit ● 3D Drift correction (redundant cross-correlation) ● Temporal grouping (Merging) ● Visualization ● ...
ZOLA-3D Main advantages ● Many PSF models: 2D Astigmatism (1µm) Saddle-point (3µm) Tetrapod (6 µm) Bi-astigmatism ● Model refractive index mismatch: ○ Prediction of the PSF at any depth ○ Z position relative to the coverslip ● ImageJ / Fiji plugin ○ https://github.com/imodpasteur/ZOLA-3D ● Accelerated reconstruction using Nvidia GPU benoit.lelandais@pasteur.fr
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