the invention relates to a method for reconstructing a 3d presentation of a hollow organ based on two - dimensional catheter images , comprising : detecting at least two fluoroscopy images at two different angles of the hollow organ ; determining a start position of the catheter from the fluoroscopy images in a three - dimensional model of the hollow organ or a catheter guide ; determining a probable withdrawal path of the catheter based on the three - dimensional model ; withdrawing the catheter while recording the catheter images and assigning a withdrawal length to each catheter image ; determining the deviation of the position of the catheter from a central path running through the middle of the hollow organ and the orientation of the catheter for each catheter image based on the withdrawal path and the withdrawal length ; and reconstructing the 3d presentation from the two - dimensional catheter images as well as the deviation of the position of the catheter .