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An algorithm is presented to multiplex discrete disparity layers to a stack of screen images for different 3d display technologies. This approach enabled the description of a 3d display by just setting few parameters.After more than a century of intense 3d development there is a diversity of 3d displays. The representation of 3d information in these devices can be very different. Regardless of the diversity, all representation technologies can be described by a number of 2d images. The screen images are specific combinations of the image sequence. The combination rule by using the universal 4dimensional formula is adapted for a certain display type.The formula parameters are illustrated by samples for the main groups of 3d displays: stereoscopic, autostereoscopic and volumetric. With the same input image sequence, samples are calculated for diverse output systems. Also, some matrices are presented to show the influence of various parameters. Furthermore it is demonstrated that the modification of some parameters can change the 3d representation without any modification of the device or the input images. Such effects can be used for the correction of the 3d impression in single 3d systems and multi display solutions (i.e. 3d walls).