The correspondence between ‘true‘ and ‘distorted‘ filament identification. Left: Confusion matrix for classification of GAEA-all galaxies as filaments members according to filaments identified in SGX-SGY-SGZ (see Sect. 3.1) with distortion along line-of-sight (x-axis) and according to filaments identified for GAEA-all without mimicking of the selection function (see Sect. 2.2.1) in x-y-z (‘true‘ filaments, y-axis). The bottom left panel represents the fraction of galaxies identified as filament members according to both filament systems. The right top panel represents the fraction of galaxies identified as field members according to both filaments systems. The left top and bottom right panels represent inconsistency in the classification of filament members. Right: Comparison of distances for the indicated filament systems for each galaxy from GAEA-all in 3D. The red line represents the equality line.