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Ardo Illaste edited res_region.md
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### Region detection
Before it is possible to fit the fluorescence signal from each pixel with a transient
function function, candidate regions containing possible events must be detected.
This is achieved by modifying For this we have modified a continous wavelet transform based peak detection algorithm by Du et al.,\cite{Du_2006}.
We have altered Whereas the the original algorithm of Du et al. provides the location of the
method peak, we have extended it to
also yield the
the width of the
peak peak.
The original algorith works by joining the wavelet transform values along local maxima for increasing window lengths. Ridge lines obatained in
addition this manner are taken to correspond to
peaks if they satisfy certain criteria (length of the ridge, SNR, etc.) In our extension the width of the peak is obtained from finding the first maximum of the wavelet transform values along the
location. ridge line.
Region estimation is performed iteratively. This is done to ensure that overlapping events are correctly identified. At each pass regions which have no overlaps are fitted. After this the fit result is subtracted from the original signal and region detection is performed again, followed by fitting. This is done until no more regions are detected or successfully fitted.