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NAME

       r.grow.distance   - Generates a raster map containing distances to nearest 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 control the geometry in
       which  grown  cells are created, (controlled by the metric parameter): Euclidean, Squared,
       Manhattan, Maximum, and Geodesic.

       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 sufficient 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 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.

       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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