Single-scale decomposition (Sect. 2.2). The central 044 × 044 sub-field of the detection image ℐλD of a 1° × 1° simulated star-forming region at 350 μm (upper left). Its single-scale images ℐλDj are shown at the scales indicated (left to right, top to bottom) for j = 17,30,43,57,70, NS = 99, fS = 1.053, S1 = 4′′, SNS = 660′′ (see Eq. (1)). The image dimensions are 1800 × 1800 pixels and the pixel size Δ = 2′′. The scales were selected to be separated by a factor of 2 to illustrate the spatial decomposition. The scale sizes Sj are visualized by the yellow-black circles and annotated at the bottom of the panels. For better visibility, the values displayed in the panels are somewhat limited in range; the color coding is a linear function of intensity in MJy/sr.
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