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