r.grow.distance(1grass) GRASS GIS User's Manual r.grow.distance(1grass)
NAME
r.grow.distance - Generates a raster map containing distances to near-
est raster features and/or the value of the nearest non-null cell.
KEYWORDS
raster, distance, proximity
SYNOPSIS
r.grow.distance
r.grow.distance --help
r.grow.distance [-mn] input=name [distance=name] [value=name]
[metric=string] [--overwrite] [--help] [--verbose] [--quiet]
[--ui]
Flags:
-m
Output distances in meters instead of map units
-n
Calculate distance to nearest NULL cell
--overwrite
Allow output files to overwrite existing files
--help
Print usage summary
--verbose
Verbose module output
--quiet
Quiet module output
--ui
Force launching GUI dialog
Parameters:
input=name [required]
Name of input raster map
distance=name
Name for distance output raster map
value=name
Name for value output raster map
metric=string
Metric
Options: euclidean, squared, maximum, manhattan, geodesic
Default: euclidean
DESCRIPTION
r.grow.distance generates 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 flag -n calculates the respective pixel distances to the nearest
NULL cell.
The user has the option of specifying five different metrics which con-
trol the geometry in which grown cells are created, (controlled by the
metric parameter): Euclidean, Squared, Manhattan, Maximum, and Geo-
desic.
The Euclidean distance or Euclidean metric is 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 the radius.
The Squared metric is the Euclidean distance squared, i.e. it simply
omits the square-root calculation. This may be faster, and is suffi-
cient if only relative values are required.
The Manhattan metric, or Taxicab geometry, is a form of geometry in
which the usual metric of Euclidean geometry is replaced by a new met-
ric in which the distance between two points is the sum of the (abso-
lute) 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.
The Maximum metric is given by the formula
d(dx,dy) = max(abs(dx),abs(dy))
where the isolines of distance from a point are squares.
The Geodesic metric is calculated as geodesic distance, to be used only
in latitude-longitude locations. It is recommended to use it along with
the -m flag in order to output distances in meters instead of map
units.
EXAMPLES
Distance from the streams network
North Carolina sample dataset:
g.region raster=streams_derived -p
r.grow.distance input=streams_derived distance=dist_from_streams
r.colors map=dist_from_streams color=rainbow
Euclidean distance from the streams network in meters (map subset)
Euclidean distance from the streams network in meters (detail, numbers
shown with d.rast.num)
Distance from sea in meters in latitude-longitude location
g.region raster=sea -p
r.grow.distance -m input=sea distance=dist_from_sea_geodetic metric=geodesic
r.colors map=dist_from_sea_geodetic color=rainbow
Geodesic distances to sea in meters
SEE ALSO
r.grow, r.distance, r.buffer, r.cost, r.patch
Wikipedia Entry: Euclidean Metric
Wikipedia Entry: Manhattan Metric
AUTHORS
Glynn Clements
SOURCE CODE
Available at: r.grow.distance source code (history)
Accessed: unknown
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