A method for reducing artefacts in computed tomography images caused in particular by obstructive bodies and/or metal bodies, wherein the following sequence of steps is performed in at least one iteration process: (a) reconstructing or generating CT image data from first projection data, (b) querying one or more limiting values and/or terminating conditions of the iteration process and, in the case of the limiting values being reached and/or the terminating conditions being met, aborting the iteration process and outputting the CT image data, otherwise continuing the iteration process with step (c), (c) reducing artefacts in the reconstructed/generated CT image data by filtering the CT image data, (d) generating second projection data from the filtered CT image data, and (e) combining the first and second projection data, in particular replacing first projection data by second projection data in consideration of the obstructive body data and transferring the projection data thereby obtained to step (a) as first projection data, wherein the at least one iteration process is integrated into a further process having the following steps: (f) generating the obstructive body data on the basis of parameters characterizing the obstructive body which are stored in and retrievable from an electronic patient record, wherein a model of the obstructive body within a patient is created, (g) collecting/acquiring first projection data and parameterizing said first projection data, (h) verifying whether an obstructive body is present in the object based on the first projection data, and (i) processing, in particular masking and/or filtering and/or interpolating the first projection data and transferring the processed first projection data to step (a), wherein the at least one iteration process together with the further process is integrated into a superordinate process having the following steps: (j) starting the method, (k) inputting patient-related data, retrieving the parameters characterizing the obstructive body from the electronic patient record on the basis of the entered patient-related data, (m) transferring the retrieved parameters to step (f), in particular subsequent verification and, if applicable, supplementation and/or correction of the parameters. (a) reconstructing or generating CT image data from first projection data, (b) querying one or more limiting values and/or terminating conditions of the iteration process and, in the case of the limiting values being reached and/or the terminating conditions being met, aborting the iteration process and outputting the CT image data, otherwise continuing the iteration process with step (c), (c) reducing artefacts in the reconstructed/generated CT image data by filtering the CT image data, (d) generating second projection data from the filtered CT image data, and (e) combining the first and second projection data, in particular replacing first projection data by second projection data in consideration of the obstructive body data and transferring the projection data thereby obtained to step (a) as first projection data, (f) generating the obstructive body data on the basis of parameters characterizing the obstructive body which are stored in and retrievable from an electronic patient record, wherein a model of the obstructive body within a patient is created, (g) collecting/acquiring first projection data and parameterizing said first projection data, (h) verifying whether an obstructive body is present in the object based on the first projection data, and (i) processing, in particular masking and/or filtering and/or interpolating the first projection data and transferring the processed first projection data to step (a), (j) starting the method, (k) inputting patient-related data, retrieving the parameters characterizing the obstructive body from the electronic patient record on the basis of the entered patient-related data, (m) transferring the retrieved parameters to step (f), in particular subsequent verification and, if applicable, supplementation and/or correction of the parameters.