A method for a three-dimensional perspective representation of a terrain topography on a two-dimensional display means of a navigation device, comprising: - establishing a grid-based three-dimensional layer model of the terrain topography comprising the steps of: - generating at least two layers, wherein each layer covers at least partially the terrain topography for representation and generates a grid having a presettable mesh resolution for representation of the covered portion of the terrain topography, wherein the grid of each layer comprises another mesh resolution than the grid of each other layer, - projecting the portion of the terrain topography covered by each layer onto the grid of the layer, - superimposing all layers, wherein the respective more finely meshed layer (02, 08) having the grid with finer mesh resolution is disposed above the respective more coarsely meshed layer (01, 09) having the grid with coarser mesh resolution, and wherein the superposition of all layers completely covers the terrain topography, - representing the layer model on the two-dimensional display means of the navigation device, wherein the representation of the layer model takes place on the basis of a perspective viewing direction axis onto the terrain topography, which viewing direction axis depends on a location and an orientation of the navigation device, and on the basis of a viewing point of origin within or outside of the terrain topography, characterized in that upon a change of position of the viewing point of origin and/or a re-orientation of the viewing direction axis, in particular upon a change of position of the navigation device, a new representation is effected on the basis of a previously established layer model until a presettable distance threshold value of the change of position or of the re-orientation is exceeded, at which a new representation on the basis of a newly established layer model is effected, wherein each layer comprises an individual distance threshold value upon exceeding of which a new generation of at least this layer takes place. - establishing a grid-based three-dimensional layer model of the terrain topography comprising the steps of: - generating at least two layers, wherein each layer covers at least partially the terrain topography for representation and generates a grid having a presettable mesh resolution for representation of the covered portion of the terrain topography, wherein the grid of each layer comprises another mesh resolution than the grid of each other layer, - projecting the portion of the terrain topography covered by each layer onto the grid of the layer, - superimposing all layers, wherein the respective more finely meshed layer (02, 08) having the grid with finer mesh resolution is disposed above the respective more coarsely meshed layer (01, 09) having the grid with coarser mesh resolution, and wherein the superposition of all layers completely covers the terrain topography, - generating at least two layers, wherein each layer covers at least partially the terrain topography for representation and generates a grid having a presettable mesh resolution for representation of the covered portion of the terrain topography, wherein the grid of each layer comprises another mesh resolution than the grid of each other layer, - projecting the portion of the terrain topography covered by each layer onto the grid of the layer, - superimposing all layers, wherein the respective more finely meshed layer (02, 08) having the grid with finer mesh resolution is disposed above the respective more coarsely meshed layer (01, 09) having the grid with coarser mesh resolution, and wherein the superposition of all layers completely covers the terrain topography, - representing the layer model on the two-dimensional display means of the navigation device, wherein the representation of the layer model takes place on the basis of a perspective viewing direction axis onto the terrain topography, which viewing direction axis depends on a location and an orientation of the navigation device, and on the basis of a viewing point of origin within or outside of the terrain topography,