Inversion of a vertical slice from a 3D rMHD simulation. The panels illustrate from left to right the stratification in optical depth of temperature, line-of-sight velocity, and the vertical component of the magnetic field. Row a: original physical quantities from the MHD simulation. Row b: inversion computed without regularization and a small number of nodes. Row c: inversion computed without regularization and a very large number of nodes. Row d: inversion computed with understimated regularization and a very large number of nodes. Row e: inversion computed with a very large number of nodes and properly scaled regularization. The exact number of nodes of each experiment is indicated in Table 2.