At a simulation of the visual field of view in the training of a battle situation, a TV-monitor is arranged in the field of view of the optics of a person to be trained. On said monitor a cut-out of a digitally stored background image is displayed. The cut-out to be displayed experiences a containuous change at an aiming motion. The image cut-out is loaded into a buffer memory and with a changed addressing the information in the buffer memory over-lapping with respect to the old and new cut-out is maintained. Only the new digital image information to be added is loaded from the background memory into the buffer memory at the place where the old image information has to be cancelled. Proper addressing takes care that the new buffer memory contents are displayed in the correct logical sequence.