.TH r.grow.distance 1grass "" "GRASS 8.3.1" "GRASS GIS User's Manual" .SH NAME \fI\fBr.grow.distance\fR\fR \- Generates a raster map containing distances to nearest raster features and/or the value of the nearest non\-null cell. .SH KEYWORDS raster, distance, proximity .SH SYNOPSIS \fBr.grow.distance\fR .br \fBr.grow.distance \-\-help\fR .br \fBr.grow.distance\fR [\-\fBmn\fR] \fBinput\fR=\fIname\fR [\fBdistance\fR=\fIname\fR] [\fBvalue\fR=\fIname\fR] [\fBmetric\fR=\fIstring\fR] [\fBminimum_distance\fR=\fIfloat\fR] [\fBmaximum_distance\fR=\fIfloat\fR] [\-\-\fBoverwrite\fR] [\-\-\fBhelp\fR] [\-\-\fBverbose\fR] [\-\-\fBquiet\fR] [\-\-\fBui\fR] .SS Flags: .IP "\fB\-m\fR" 4m .br Output distances in meters instead of map units .IP "\fB\-n\fR" 4m .br Calculate distance to nearest NULL cell .IP "\fB\-\-overwrite\fR" 4m .br Allow output files to overwrite existing files .IP "\fB\-\-help\fR" 4m .br Print usage summary .IP "\fB\-\-verbose\fR" 4m .br Verbose module output .IP "\fB\-\-quiet\fR" 4m .br Quiet module output .IP "\fB\-\-ui\fR" 4m .br Force launching GUI dialog .SS Parameters: .IP "\fBinput\fR=\fIname\fR \fB[required]\fR" 4m .br Name of input raster map .IP "\fBdistance\fR=\fIname\fR" 4m .br Name for distance output raster map .IP "\fBvalue\fR=\fIname\fR" 4m .br Name for value output raster map .IP "\fBmetric\fR=\fIstring\fR" 4m .br Metric .br Options: \fIeuclidean, squared, maximum, manhattan, geodesic\fR .br Default: \fIeuclidean\fR .IP "\fBminimum_distance\fR=\fIfloat\fR" 4m .br Minimum distance threshold .IP "\fBmaximum_distance\fR=\fIfloat\fR" 4m .br Maximum distance threshold .SH DESCRIPTION \fIr.grow.distance\fR 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. .SH NOTES The flag \fB\-n\fR calculates the respective pixel distances to the nearest NULL cell. .PP The user has the option of specifying five different metrics which control the geometry in which grown cells are created, (controlled by the \fBmetric\fR parameter): \fIEuclidean\fR, \fISquared\fR, \fIManhattan\fR, \fIMaximum\fR, and \fIGeodesic\fR. .PP The \fIEuclidean distance\fR or \fIEuclidean metric\fR is the \(dqordinary\(dq 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: .br .nf \fC d(dx,dy) = sqrt(dx^2 + dy^2) \fR .fi Cells grown using this metric would form isolines of distance that are circular from a given point, with the distance given by the \fBradius\fR. .PP The \fISquared\fR metric is the \fIEuclidean\fR distance squared, i.e. it simply omits the square\-root calculation. This may be faster, and is sufficient if only relative values are required. .PP The \fIManhattan metric\fR, or \fITaxicab geometry\fR, 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\(cq distance in taxicab geometry. The formula is given by: .br .nf \fC d(dx,dy) = abs(dx) + abs(dy) \fR .fi where cells grown using this metric would form isolines of distance that are rhombus\-shaped from a given point. .PP The \fIMaximum metric\fR is given by the formula .br .nf \fC d(dx,dy) = max(abs(dx),abs(dy)) \fR .fi where the isolines of distance from a point are squares. .PP The \fIGeodesic metric\fR is calculated as geodesic distance, to be used only in latitude\-longitude locations. It is recommended to use it along with the \fI\-m\fR flag in order to output distances in meters instead of map units. .PP If \fBminimum_distance\fR is given, all cells with a distance smaller than \fBminimum_distance\fR will be set to NULL. .PP If \fBmaximum_distance\fR is given, all cells with a distance larger than \fBmaximum_distance\fR will be set to NULL. The resultant output is equivalent to a buffer. .PP If both \fBminimum_distance\fR and \fBmaximum_distance\fR are given, the result will be similar to a doughnut, a restricted belt for a given distance range. All cells outside this distance range will be set to NULL. .SH EXAMPLES .SS Distance from the streams network North Carolina sample dataset: .br .nf \fC g.region raster=streams_derived \-p r.grow.distance input=streams_derived distance=dist_from_streams r.colors map=dist_from_streams color=rainbow \fR .fi .br \fIEuclidean distance from the streams network in meters (map subset)\fR .br \fIEuclidean distance from the streams network in meters (detail, numbers shown with d.rast.num)\fR .SS Distance from sea in meters in latitude\-longitude location .br .nf \fC 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 \fR .fi .PP .br \fIGeodesic distances to sea in meters\fR .SH SEE ALSO \fI r.grow, r.distance, r.buffer, r.cost, r.patch \fR .PP \fI Wikipedia Entry: Euclidean Metric .br Wikipedia Entry: Manhattan Metric \fR .SH AUTHOR Glynn Clements .SH SOURCE CODE .PP Available at: r.grow.distance source code (history) .PP Accessed: Sunday Dec 17 17:21:46 2023 .PP Main index | Raster index | Topics index | Keywords index | Graphical index | Full index .PP © 2003\-2023 GRASS Development Team, GRASS GIS 8.3.1 Reference Manual