A method is disclosed for image reconstruction of an object with the aid of at least one-dimensional projections of the object into a three-dimensional volume image data record, it being possible to generate the projections by at least one detector/source system with reference to different positions and angles relative to the object, and at least two projections forming a reconstruction volume in an overlap region as basis for a backprojection of the projections into the three-dimensional volume image data record, in particular computed tomography. An apparatus for carrying out the method is further disclosed. In at least one embodiment, supplemented reconstruction volumes are generated by supplementing reconstruction volumes, covered only partially by projections, by way of virtual projections that are derived from volume image data records. By comparison with reconstruction volumes that are merely interpolated, supplementing a reconstruction volume with the aid of virtual projections can decisively improve the image quality of the computed tomography images that are backprojected therefrom.