The invention relates to an analytical method for computing a video hologram for a holographic reproduction device (HAE) having at least one light modulation means (SLM), wherein a scene (3D-S) split into object points (OP) is encoded as a whole hologram (H?SLM) and can be seen as a reconstruction from a visibility region (VR), which is located within a periodicity interval of the reconstruction of the video hologram. The visibility region (VR), together with each object point (OP) of the scene (3D-S) to be reconstructed, defines a subhologram (SH) and the whole hologram (H?SLM) is generated from a superposition of subholograms (SH), wherein the complex hologram values of a subhologram (SH) are determined from the wave front of the respective object point (OP) to be reconstructed in a modulator region (MR) of the light modulation means, by calculating and evaluating the transmission or modulation functions of an imaging element (OS) formed in the modulator region (MR). The object point (OP) to be reconstructed is located in the focal point of the imaging element.