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Convolving the image with this kind of kernel reduces the noise while retaining more of the original signal than simple averaging. Contributions from the i-th layer around the center will have the same weight as the central pixel. In this work we use the kernel with \(n=1\).   ### Region detection  The method works by fitting fluorescence signal from each pixel with a transient function. Prior to fitting, candidate regions containing possible events must be detected. This is achieved by modifying a continous wavelet transform based peak detection algorithm by Du et al.,\cite{Du_2006}. We have altered the method to also yield the width of the peak in addition to the location. Specific details of the region detection algorithm are given in the Supplementary Material.  ### Signal fitting  ### Clustering