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.