Median radial profile of a filament in Taurus (Fig. B.1) for different choices of resolution, corresponding to the Herschel beam of 18.2″ at distances of 140 pc, blue; 260 pc, orange; 423 pc, green; and 762 pc, red. Top left: Profile comparison in angular units. Top right: Profile comparison in physical units. Bottom left: Profiles after background subtraction (with logarithmic horizontal axis for better visualization). The vertical dashed lines mark the r_out defined in the bottom right panel. Bottom right: Derivative of radial profile. The radial distance where the derivative flattens determines r_out (vertical dashed lines), following Arzoumanian et al. (2019).