Sketch of the implemented elongation correction. The sketch shows the isodensity surface of an ellipsoidal halo (blue solid curve) in the LOS (z) – plane of the sky ($\sqrt{x^2+y^2}$), compared with a spherical halo with the same 3D radially-averaged profile (red solid line). The projected profile (dashed lines) is boosted by a factor e = a_∥/a_⊥ and compressed on the plane of the sky by a factor r_s/r_p = e^1/3 (Eqs. (30) and (34)).