1. A method for producing CT images of a periodically moving area to be examined, comprising: scanning the area to be examined with the aid of a beam, emanating from a focus, with a multiplicity of rays relating to a multiplicity of detector elements of a detector array, the focus and the detector array being relatively displaced and supplying data from which a change in attenuation of the rays between the focus and detector elements is determinable; collecting movement data from the periodically moving area to be examined, the detector data and data resulting therefrom being assignable to the movement states; using only output data, correlated with a specific movement state of the body region, to compose at least one CT image; dividing the output data, supplied during the movement of the focus on a spiral segment of sufficient length for reconstructing a CT image and assigned to specific movement states, into output data with reference to N seg subsegments, reconstructing segment images by back projection and filtering, referred to movement state, with an image plane inclined to the system axis; combining segment images belonging to a subsegment and correlated with a movement state to form a component image, referred to movement state, with reference to a target image plane; and combining component images, referred to movement state, for at least one target image plane to form resulting at least one CT image of a specific movement state.