The invention relates to a method in which object functions are generated from projections of an object by means of an iterative reconstruction algorithm with determination of approximation images. This method is used in, for instance, image-generating systems for producing images of object functions. Image-generating systems of this kind are generally used when images of an object are to be generated without cutting or destroying the object itself in the process. In the process, projections of the object are acquired from different projection directions from a maximum angular range. In an iteration cycle, an approximation image of the object function and a projection are used to calculate, using the reconstruction algorithm, a new approximation image which produces a further new approximation image in the subsequent iteration cycle in conjunction with a projection from a different projection direction. In successive iteration cycles, projections are used whose projection directions differ by an angle that derives from the division of the maximum angular range in accordance with the golden section.