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.