Power spectra of velocity field for tests b), d) e) and f), g) and h) of Fig. 3. The black lines show the total input velocity field, the blue lines the input turbulent field, and the red lines the field reconstructed with our algorithm. Note that the low k cut-off in the turbulent spectra of test h) is caused by our procedure of extracting small patches of turbulent motions in the simulated volume, while the original turbulent velocity field has by construction an unbroken power-law spectrum from k = 1 on.