Provided by: grass-doc_6.4.3-3_all

**NAME**

r.grow.distance- Generates a raster map layer of distance to features in input layer.

**KEYWORDS**

raster, geometry

**SYNOPSIS**

r.grow.distancer.grow.distancehelpr.grow.distance[-m]input=name[distance=name] [value=name] [metric=string] [--overwrite] [--verbose] [--quiet]Flags:-mOutput distances in meters instead of map units--overwriteAllow output files to overwrite existing files--verboseVerbose module output--quietQuiet module outputParameters:input=nameName of input raster mapdistance=nameName for distance output mapvalue=nameName for value output mapmetric=stringMetric Options:euclidean,squared,maximum,manhattan,geodesicDefault:euclidean

**DESCRIPTION**

r.grow.distancegenerates raster maps representing the distance to the nearest non-null cell in the input map and/or the value of the nearest non-null cell.

**NOTES**

The user has the option of specifying four different metrics which control the geometry in which grown cells are created, (controlled by themetricparameter):Euclidean,Squared,Manhattan, andMaximum. TheEuclideandistanceorEuclideanmetricis the "ordinary" distance between two points that one would measure with a ruler, which can be proven by repeated application of the Pythagorean theorem. The formula is given by: d(dx,dy) = sqrt(dx^2 + dy^2) Cells grown using this metric would form isolines of distance that are circular from a given point, with the distance given by theradius. TheSquaredmetric is theEuclideandistance squared, i.e. it simply omits the square-root calculation. This may be faster, and is sufficient if only relative values are required. TheManhattanmetric, orTaxicabgeometry, is a form of geometry in which the usual metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the (absolute) differences of their coordinates. The name alludes to the grid layout of most streets on the island of Manhattan, which causes the shortest path a car could take between two points in the city to have length equal to the points' distance in taxicab geometry. The formula is given by: d(dx,dy) = abs(dx) + abs(dy) where cells grown using this metric would form isolines of distance that are rhombus- shaped from a given point. TheMaximummetricis given by the formula d(dx,dy) = max(abs(dx),abs(dy)) where the isolines of distance from a point are squares.

**EXAMPLE**

Distance from the streams network (North Carolina sample dataset): g.region rast=streams_derived -p r.grow.distance input=streams_derived distance=dist_from_streams Distance from sea in meters in latitude-longitude location: g.region rast=sea -p r.grow.distance -m input=sea distance=dist_from_sea_geodetic metric=geodesic

**SEE** **ALSO**

r.grow,r.buffer,r.cost,r.patchWikipediaEntry:EuclideanMetricWikipediaEntry:ManhattanMetric

**AUTHORS**

Glynn ClementsLastchanged:$Date:2012-09-0205:49:21-0700(Sun,02Sep2012)$Full index © 2003-2013 GRASS Development Team