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, wherein the operator A S describing the image acquisition is formed by: 
 A S =−ln [exp(− R (ƒ))+ S (ƒ)], wherein: R(ƒ) is an operator for a forward projection from a 3D space on which the 3D image dataset is based to 2D planes on which the projected 2D image datasets are based, and S(ƒ) is not identical to zero and represents the scattered radiation.