Density profile for filament sources in our sample as a function of the distance from the filament spine (left) and from the Virgo cluster center (right). Sources are color-coded according to their morphological de Vaucouleurs classification. The solid lines show the best fit to the data performed with the exponential model described in the text and estimated at the median distances ⟨d_cluster⟩ (left) and ⟨d_fil⟩ (right). Dashed lines denote the ±1σ uncertainties to the fit. Triangles show the binned median values, while their error bars correspond to the rms dispersion around the median; equally spaced bins, in log scale, with at least five points each have been considered. Right panel: gray solid line shows the average field density estimated in consecutive spherical shells, concentric with Virgo. Each shell has a radius that is 0.5 h⁻¹ Mpc higher than the previous one.