Results of 2D inversions applied to simulations; test on different simulations: histograms of magnetic field strength (top row) and inclination (bottom row) at log τ = 0 for Sim 1, 2, and 3 from left to right. Black dashed and solid lines indicate the original distributions before and after the spatial smearing, respectively. Red line shows distributions retrieved with 2D inversions. Bin sizes are 10 G and 3°. Vertical lines indicate the corresponding mean field strengths at log τ = 0: from the original when the highest spatial frequencies are filtered out (black dashed line) and retrieved with inversions (red dashed line).