Projection, 460 kpc thick, of the DM density field interpolated by ASOHF in Test 2, from which the pre-identification of haloes over the AMR grids is performed. The plot shows the maximum value in the projection direction. The black circle marks the virial radius of the host halo, and each purple circle corresponds to a substructure identified by ASOHF. The radius of each circle matches the Jacobi radius of the subhalo.