Upper: average radial y profiles of 24 544 filaments with different radii of the cluster masks: no cluster mask (blue), 1 × R₅₀₀ (magenta), 2 × R₅₀₀ (green), 3 × R₅₀₀ (black), and 4 × R₅₀₀ (cyan). Lower: average radial y profiles of 24 544 filaments with different sizes of critical point masks: no critical point mask (blue), 5 arcmin mask (magenta), 10 arcmin mask (black), and 15 arcmin mask (green). In both figures, the 1σ uncertainties of the profile with (3 × R₅₀₀ + 10 arcmin) mask are estimated by bootstrap resampling and are shown in gray (see Sect. 3.3).