Same as Fig. 6 but for a simulated image including a population of synthetic filaments with a realistic distribution of column density contrasts (see Fig. 7) added to a filament-subtracted image of the Aquila cloud. Panel a: simulated image. The weighted average contrast ⟨δ_c⟩ of the distribution of synthetic filaments is 0.96 and the total area covering factor A_fil is 5.5%, leading to A_fil ∼ 0.051. Panel b: power spectrum of the simulated image (black solid curve). The red curve corresponds to the best power-law fit with γ = −2.3 ± 0.1. For comparison, the best power-law fit to the power spectrum of the Aquila original image is over-plotted as a green dashed line. Panel c: residuals between the best power-law fit and the power spectrum of the simulated image (red solid circles). The of the residuals is ∼0.054 For comparison, the black filled triangles show similar residuals for the Aquila original image (cf. Fig. 6c).