Abstract: The invention relates to the transmission of image data during which first image data are continuously generated by a first computer (PC1) and are or can be displayed in the form of a first temporal sequence of first images on an image display device of the first computer. At least a partial number of the first images are continuously acquired and corresponding second image data are generated therefrom and transmitted to a compression device (CO). The second image data are compressed by the compression device for a data transmission whereby resulting in the generation of third image data, whereby second image data are continuously taken into consideration during compression that correspond to a portion of the first sequence with a number of the first images. The third image data are output to a data transmission device (PR) that generates data transmission signals corresponding to the third image data.