An apparatus for displaying terrain on a display apparatus of an airborne vehicle is provided. The apparatus includes a synthetic vision system having a terrain and obstruction database, an enhanced vision system with sensors for recording terrain data, a height and position sensor for determining the flight state data, a display apparatus, a processor for fusion of the data from the synthetic vision system and from the enhanced vision system. The height information that is produced by the synthetic vision system and the enhanced vision system is stored as pixels in a two-dimensional grid network. The fusion processor uses an error function for insertion of a pixel into the two-dimensional grid network. The error function provides an estimate of the size of the respective cell in which the pixel is stored, from the distance between the pixel and the sensor position.