1. A system for generating, evaluating and distributing computer-tomographical 4D representations of the heart of a patient, comprising: a CT appliance including at least one beam source, to move on a spiral path around the patient, at least one detector to detect absorption of radiation coming from the beam source, and a control and computation unit to control the CT appliance and to reconstruct the computer-tomographical 4D representation of the motion of the heart, the control and computation unit being usable to perform a first low-resolution reconstruction of the cardio recordings in a multiplicity of cycle phases of the cardiac cycle and subsequent volume rendering of these cardio recordings for 3D representation and examination of the clarity of motion in the representation in the individual cycle phases, and the representation being usable on the control and computation unit to select one or two cycle phases with a relatively reduced lack of clarity of motion, and high-resolution representations of the heart being reconstructed for these selected one or two cycle phases; and at least one separate workstation, connected to the control and computation unit via a network, the computation and control unit being useable to transmit only the high-resolution representations of the selected cycle phases with a relatively reduced lack of clarity of motion to the at least one workstation as still images, and the workstation being used to perform the evaluation.