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Liisa Hirvonen edited Results: Centroiding.tex
almost 9 years ago
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where $N_{max}$, $N_{min}$, and $N_{mean}$ are the maximum, minimum and average number of counts in the 5$\times$5 array of subpixel positions, respectively. For a completely random distribution, this number should approach zero with increasing number of photons.
Several of ThunderSTORM's centroiding algorithms were tested to find an algorithm that leads to a minimum amount of fixed pattern noise. The distributions of centroided positions are shown in
Fig~\ref{fig_pixelimages}, where the pixels are further divided into a 13$\times$13 grid. The results are summarised in Table~\ref{table:results}. Maximum likelihood (ML) fitting with a Gaussian PSF produces the most uniform distribution of localised positions
(Fig~\ref{fig_pixelimages}a) with FPN of
71\%. 71\%, as well as the finding the highest number of photons. As reported previously,\cite{Hirvonen2014_rsi} the horizontal widening of the photon events, most likely caused by the CCD read-out, causes a bias in the centroided positions and photons are most likely to be found towards the right edge of the pixel. Radial symmetry method produces
similar results with a slightly higher FPN of 91\%, but
causes changes the bias
in to the vertical
direction. direction (Fig~\ref{fig_pixelimages}b). Other methods produce results that are similar to the ML, but with higher FPN and lower photon count, an example of weighted LS fit with integrated Gaussian PSF is shown in Fig~\ref{fig_pixelimages}c.