GRASS GIS Manual: Projections and spatial transformations in GRASS GIS

Note: A new GRASS GIS stable version has been released: GRASS GIS 7.8, available here.
Updated manual page: here

Projections and spatial transformations in GRASS GIS

Projection management in general
Raster map projections
Raster map transformation
Vector map projections
Vector map transformation
References
See also

Projection management in general

A GRASS location is referenced with a single projection and coordinate system (or unreferenced as XY location). When creating a new location from an existing raster or vector map using the tools available from the startup screen or the map import commands, projection and coordinate system are defined. To change the projection of maps, a new location has to be created and the desired maps have to be reprojected into it from the source location as explained below.

Raster map projections

Raster maps are backward projected in GRASS. This means that the user has to run the raster projection command (r.proj) in the target location and "pull" the map from the source location. Both locations need to have a projection defined.

Raster map transformation

To transform an unprojected map from a XY location into a projected location (or another XY location), a forward transformation is performed. The unreferenced map is geocoded within the XY location by defining four corner points or by seeking several ground control points (i.group, i.target, g.gui.gcp) and then transformed into the target location (i.rectify). Polynomial transformation of 1st, 2nd and 3rd order are supported.

A graphical user interface is provided by wxGUI.

To simply translate a raster map (without stretching or rotation), the r.region command can be used.

Vector map projections

Vector maps are backward projected in GRASS. This means that the user has to run the vector projection command (v.proj) in the target location and "pull" the map from the source location. Both locations need to have a projection defined.

Vector map transformation

To transform an unprojected map (e.g. CAD map) into projected coordinates, a forward transformation is performed. The unreferenced map is imported into the location with projection and geocoded within this location by defining four corner points or by seeking several ground control points. These points are stored into an ASCII file and then transformed within the same location (v.transform). Alternatively, v.rectify rectifies a vector by computing a coordinate transformation for each object in the vector based on the control points.