Hoogteveld

Hoogteveld is a term used in geographic information systems (GIS) and computer graphics to describe a discrete representation of a terrain surface. It is a function z = f(x,y) sampled on a regular grid, so each grid cell stores a single elevation value. The resulting raster can be rendered as a 3D terrain by lifting each grid point to its elevation. In practice, hoogtevelden are commonly referred to as heightmaps and are a standard form of digital elevation model (DEM). They describe a surface with a single-valued height at each (x,y) location and can represent bare-earth terrain or the visible surface depending on how the data were collected and processed.

Representation and properties

A hoogtveld is typically organized as a two-dimensional array with fixed grid spacing (resolution). Values are usually stored as floating-point or integer numbers, with units commonly in meters. Data formats include GeoTIFF, ASCII GRID, and various binary formats. Interpolation between grid points (for example, bilinear or bicubic) allows smoother rendering, and resampling adjusts the effective resolution for different analyses or displays.

Generation and use

Heightfields are generated from sources such as LiDAR point clouds, stereo or multi-view photogrammetry, radar, or existing contour data. They are widely used for terrain visualization and analysis in GIS and simulation environments. Typical applications include hillshading and slope/aspect calculations, hydrological modeling, line-of-sight analysis, flight and gaming terrain, and procedural terrain generation.

Limitations

A heightfield represents a single-valued surface and cannot depict caves, overhangs, or multiple elevations at the same (x,y) location. The level of detail is constrained by resolution, and high-resolution data can be memory-intensive. Proper handling near boundaries and edge effects is also important.