Column density map of a region in Perseus (top row) and sample of a log-fractional Brownian motion (logFBM) field (bottom row). Each image has 256 × 512 pixels but is tiled into two complementary patches of size 256 × 256 on which the statistics shown in Fig. 2 are computed. While these one-point and two-point statistics (some being non-Gaussian) are clearly compatible, these two images have manifestly different morphologies.