Abstract: Method of producing a synthetic hologram from a wavefront being defined by geometrical points in space and by the phase and amplitude of the points, by computer calculation of quantized hologram areas, wherein each point and its hologram areas are considered separately during the calculation, whereafter the hologram areas of the points are generated for producing the hologram. The hologram areas of each point are considered in relation to the defined phase and amplitude of the point, determining for the phase the position of the hologram areas of the point by adjusting the length of radius vector from the point to each associated hologram area by using the phase in this point and the phase of a reference wave on the hologram area, and determining for the amplitude a number of areas for the point such that this number is proportional to the amplitude in the point.