Logarithmic difference between the desired surface-density profile Σ_out(R) and the surface-density Σ_DF(R) obtained by integrating the DF over velocity for a dehnendf in a logarithmic potential with Σ_out(R)∝exp (− R/(R₀/3)) and σ_{R, out}(R) = 0.2 exp (− (R − R₀)/R₀) (top panel). The difference is shown after 1, 2, 3, 4, 5, 10, 15, 20, and 25 iterations of the correction procedure of Dehnen (1999; dark red through dark blue curves). The bottom panel shows the logarithmic difference between σ_{R, out}(R) and σ_{R, DF}(R). The y axis is logarithmic, except for the gray band. This figure shows that the correction procedure is highly effective for generating a DF that has a desired set of (Σ_out(R), σ_{R, out}(R)²): logarithmic differences ≲ 10⁻² and ≲ 10⁻⁵ are obtained after 3 and 15 iterations, respectively.