1. A method for acquiring a 3D image dataset for an image object from a plurality of 2D image datasets of the image object, comprising: iteratively applying an operator for reconstructing the 3D image dataset to an auxiliary dataset to acquire a provisional 3D image dataset; determining an operator describing an image acquisition of the 2D image datasets based on a scattered radiation; and correcting the auxiliary dataset during the iteration by applying the operator describing the image acquisition to the provisional 3D image dataset.