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\end{equation}  where $N_{max}$, $N_{min}$, and $N_{mean}$ are the maximum, minimum and average number of counts in the 5$\times$5 array of subpixel positions, respectively. For minimum FPN, this number should be as low as possible.  Several of ThunderSTORM's centroiding algorithms were tested to find an algorithm that leads to a minimum amount of FPN (see Table~\ref{table:results}). The distributions of centroid positions for the USAF data set  are shown in Fig~\ref{fig_pixelimages}. They are obtained by overlaying the centroid positions of all pixels, divided into a 13$\times$13 grid. Maximum likelihood (ML) fitting with a Gaussian PSF produces the most uniform distribution of localised positions (Fig~\ref{fig_pixelimages}a-c), as well as the finding the highest number of photons (see Table~\ref{table:results}). 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 photon events are more likely to be found towards the right edge of the pixel. Other methods produce results with a similar distribution of centroid positions but with higher FPN and lower photon count (an example of a weighted LS fit with an integrated Gaussian PSF is shown in Fig~\ref{fig_pixelimages}d), with the exception of the radial symmetry method, which changes the bias to the vertical direction (Fig~\ref{fig_pixelimages}e).