|
@@ -9,6 +9,7 @@ parameter), or like <em>r.buffer</em>, but with the
|
|
option of preserving the original cells (similar to combining
|
|
option of preserving the original cells (similar to combining
|
|
<em>r.buffer</em> and <em>r.patch</em>).
|
|
<em>r.buffer</em> and <em>r.patch</em>).
|
|
|
|
|
|
|
|
+
|
|
<h2>NOTES</h2>
|
|
<h2>NOTES</h2>
|
|
The user has the option of specifying three different metrics which
|
|
The user has the option of specifying three different metrics which
|
|
control the geometry in which grown cells are created, (controlled by
|
|
control the geometry in which grown cells are created, (controlled by
|
|
@@ -28,7 +29,6 @@ Cells grown using this metric would form isolines of distance that are
|
|
circular from a given point, with the distance given by the <b>radius</b>.
|
|
circular from a given point, with the distance given by the <b>radius</b>.
|
|
|
|
|
|
<p>
|
|
<p>
|
|
-
|
|
|
|
The <i>Manhattan metric</i>, or <i>Taxicab geometry</i>, is a form of geometry in
|
|
The <i>Manhattan metric</i>, or <i>Taxicab geometry</i>, is a form of geometry in
|
|
which the usual metric of Euclidean geometry is replaced by a new
|
|
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)
|
|
metric in which the distance between two points is the sum of the (absolute)
|
|
@@ -44,7 +44,6 @@ where cells grown using this metric would form isolines of distance that are
|
|
rhombus-shaped from a given point.
|
|
rhombus-shaped from a given point.
|
|
|
|
|
|
<p>
|
|
<p>
|
|
-
|
|
|
|
The <i>Maximum metric</i> is given by the formula
|
|
The <i>Maximum metric</i> is given by the formula
|
|
|
|
|
|
<div class="code"><pre>d(dx,dy) = max(abs(dx),abs(dy))</pre></div>
|
|
<div class="code"><pre>d(dx,dy) = max(abs(dx),abs(dy))</pre></div>
|
|
@@ -52,13 +51,29 @@ The <i>Maximum metric</i> is given by the formula
|
|
where the isolines of distance from a point are squares.
|
|
where the isolines of distance from a point are squares.
|
|
|
|
|
|
<p>
|
|
<p>
|
|
-
|
|
|
|
If there are two cells which are equal candidates to grow into an empty space,
|
|
If there are two cells which are equal candidates to grow into an empty space,
|
|
<em>r.grow</em> will choose the northernmost candidate; if there are multiple
|
|
<em>r.grow</em> will choose the northernmost candidate; if there are multiple
|
|
candidates with the same northing, the westernmost is chosen.
|
|
candidates with the same northing, the westernmost is chosen.
|
|
|
|
|
|
-<h2>SEE ALSO</h2>
|
|
|
|
|
|
|
|
|
|
+<h2>EXAMPLE</h2>
|
|
|
|
+
|
|
|
|
+You can shrink inwards by preparing an inverse map first, and then
|
|
|
|
+inverting the resulting grown map. For example:
|
|
|
|
+<div class="code"><pre>
|
|
|
|
+# Spearfish sample dataset
|
|
|
|
+
|
|
|
|
+MAP=fields
|
|
|
|
+g.region rast=$MAP
|
|
|
|
+r.mapcalc "inverse = if(isnull($MAP), 1, null())"
|
|
|
|
+r.grow in=inverse out=inverse.grown
|
|
|
|
+r.mapcalc "$MAP.shrunken = if(isnull(inverse.grown), $MAP, null())"
|
|
|
|
+r.colors $MAP.shrunken rast=$MAP
|
|
|
|
+g.remove inverse,inverse.grown
|
|
|
|
+</pre></div>
|
|
|
|
+
|
|
|
|
+
|
|
|
|
+<h2>SEE ALSO</h2>
|
|
<em>
|
|
<em>
|
|
<a href="r.buffer.html">r.buffer</a>,<br>
|
|
<a href="r.buffer.html">r.buffer</a>,<br>
|
|
<a href="r.grow.distance.html">r.grow.distance</a>,<br>
|
|
<a href="r.grow.distance.html">r.grow.distance</a>,<br>
|
|
@@ -66,10 +81,10 @@ candidates with the same northing, the westernmost is chosen.
|
|
</em>
|
|
</em>
|
|
|
|
|
|
<p>
|
|
<p>
|
|
-
|
|
|
|
<em><a href="http://en.wikipedia.org/wiki/Euclidean_metric">Wikipedia Entry: Euclidean Metric</a></em><br>
|
|
<em><a href="http://en.wikipedia.org/wiki/Euclidean_metric">Wikipedia Entry: Euclidean Metric</a></em><br>
|
|
<em><a href="http://en.wikipedia.org/wiki/Manhattan_metric">Wikipedia Entry: Manhattan Metric</a></em>
|
|
<em><a href="http://en.wikipedia.org/wiki/Manhattan_metric">Wikipedia Entry: Manhattan Metric</a></em>
|
|
|
|
|
|
|
|
+
|
|
<h2>AUTHORS</h2>
|
|
<h2>AUTHORS</h2>
|
|
|
|
|
|
Marjorie Larson,
|
|
Marjorie Larson,
|
|
@@ -77,4 +92,5 @@ U.S. Army Construction Engineering Research Laboratory
|
|
<p>
|
|
<p>
|
|
Glynn Clements
|
|
Glynn Clements
|
|
|
|
|
|
-<p><i>Last changed: $Date$</i>
|
|
|
|
|
|
+<p>
|
|
|
|
+<i>Last changed: $Date$</i>
|