Various power-law indices measured by fitting the VSFs over ℓ = 0.6 ± 0.1 kpc (left panel) and ℓ = 3 ± 1 kpc (right panel) as a function of the Gaussian smoothing kernel size (expressed in pixels in the lower axis and in physical length for the upper axis, assuming the distance to the Perseus cluster for the later) on the horizontal axis and the depth of projection Δx_proj along the vertical axis. The vertical orange dashed line indicates the standard deviation σ_Perseus of the smoothing effect for the Perseus cluster. The inner figure within the left panel is a 1D visualization of the uppermost row.