Deblending overlapping sources (Sect. 2.6). Three identical sources (A, B, C) with the same sizes and with peak intensities normalized to unity are overlapping with their footprints. For clarity of the figure, the sources are not shown with their individual profiles, but rather with their blended intensity distribution ΣABC; with noise added, the profile transforms into ΣABCn. The deblending profiles AM, BM, and CM (Eq. (14)) are defined at the source positions by the sizes and peak intensities estimated from the background-subtracted image ℐλO BS. At each pixel, the deblending algorithm splits its intensity IΣABCn between each of the overlapping sources, according to the fraction of the shape’s intensity (Eq. (15)). The resulting deblended profiles of each source, AD, BD, and CD, are shown in the right panel.
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