A holographic projection display for reconstructing a 3D-scene and a coding method that indicates an improvement of the control value of coding through an iterative Fourier transformations-algorithm are disclosed. The display includes a reproduction system including at least two reproducing means. First reproduction means for reproducing the illuminating means and for the Fourier transformation of actual wave fronts modulated in the phase modulator follow a second reproduction means, that functions as a screen. The plane of the screen is a Fourier transformation plane for calculations with the iterative Fourier transformation-algorithm and the plane of the phase modulator is the other Fourier transformation plane.