A method is disclosed for, such as with the aid of a tomographic imaging facility or in particular a computer tomograph, in a number of consecutive measurement scans, acquiring an object volume of an examination object. A series of main images is obtained by reconstructing in each case one main image from measured data of each measurement scan and the main images are displayed in temporal sequence. Intermediate images are calculated in order to raise an image repetition rate and are displayed between the main images. The intermediate images are reconstructed at a prescribable instant within the measurement scan directly from a combination of the measured data, acquired up to this instant, of the respectively current measurement scan with the measured data of the respectively preceding measurement scan. The present method can be used to reduce the delay times in the display of the main images in conjunction with increased image quality of the intermediate images.