A method is disclosed for actuating an image output device for the output of slice images, obtained from volume data, of a tissue region including at least one hollow organ section. In at least one embodiment, tangential slice planes at observation points along at least one profile line section through the hollow organ section are determined on the basis of provided volume data. In the process, the profile line section is decomposed into shorter profile line sections such that the generated profile line sections are each situated at least approximately in a plane assigned to the respective profile line section as per a predetermined quality criterion. First tangential slice planes are each assigned to the possible observation points on the associated profile line sections on the basis of these planes. A first tangential slice image is then generated from the volume data for a current observation point on the profile line section on the basis of a first tangential slice plane determined for this observation point. Control commands for the image output device are generated for the output of this slice image and transmitted to the image output device. Moreover, at least one embodiment of the invention relates to an actuation module suitable for this purpose.