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<h1 class="title toc-ignore"><ol start="3" style="list-style-type: decimal">
<li>Manipulating Simple Feature Geometries</li>
</ol></h1>

</div>

<p>This vignetted describes how simple feature geometries can be manipulated, where manipulations include</p>
<ul>
<li>type transformations (e.g., <code>POLYGON</code> to <code>MULTIPOLYGON</code>)</li>
<li>affine transformation (shift, scale, rotate)</li>
<li>transformation into a different coordinate reference system</li>
<li>geometrical operations, e.g. finding the centroid of a polygon, detecting whether pairs of feature geometries intersect, or find the union (overlap) of two polygons.</li>
</ul>
<div id="type-transformations" class="section level2">
<h2>Type transformations</h2>
<p>This sections discusses how simple feature geometries of one type can be converted to another. For converting lines to polygons, see also <code>st_polygonize</code> below.</p>
<div id="for-single-geometries" class="section level3">
<h3>For single geometries</h3>
<p>For single geometries, <code>st_cast</code> will</p>
<ol style="list-style-type: decimal">
<li>convert from XX to MULTIXX, e.g. <code>LINESTRING</code> to <code>MULTILINESTRING</code></li>
<li>convert from MULTIXX to XX if MULTIXX has length one (else, it will still convert but warn about loss of information)</li>
<li>convert from MULTIXX to XX if MULTIXX does not have length one, but it will warn about the loss of information</li>
<li>convert GEOMETRYCOLLECTION of length one to its component if</li>
</ol>
<p>Examples of the first three types are</p>
<pre class="r"><code>library(sf)
suppressPackageStartupMessages(library(dplyr))
st_point(c(1,1)) %&gt;% st_cast(&quot;MULTIPOINT&quot;)
## MULTIPOINT ((1 1))
st_multipoint(rbind(c(1,1))) %&gt;% st_cast(&quot;POINT&quot;)
## Warning in st_cast.MULTIPOINT(., &quot;POINT&quot;): point from first coordinate only
## POINT (1 1)
st_multipoint(rbind(c(1,1),c(2,2))) %&gt;% st_cast(&quot;POINT&quot;)
## Warning in st_cast.MULTIPOINT(., &quot;POINT&quot;): point from first coordinate only
## POINT (1 1)</code></pre>
<p>Examples of the fourth type are</p>
<pre class="r"><code>st_geometrycollection(list(st_point(c(1,1)))) %&gt;% st_cast(&quot;POINT&quot;)
## POINT (1 1)</code></pre>
</div>
<div id="for-collections-of-geometry-sfc-and-simple-feature-collections-sf" class="section level3">
<h3>For collections of geometry (sfc) and simple feature collections (sf)</h3>
<p>It should be noted here that when reading geometries using <code>st_read</code>, the <code>type</code> argument can be used to control the class of the returned geometry:</p>
<pre class="r"><code>shp = system.file(&quot;shape/nc.shp&quot;, package=&quot;sf&quot;)
class(st_geometry(st_read(shp, quiet = TRUE)))
## [1] &quot;sfc_MULTIPOLYGON&quot; &quot;sfc&quot;
class(st_geometry(st_read(shp, quiet = TRUE, type = 3)))
## [1] &quot;sfc_POLYGON&quot; &quot;sfc&quot;
class(st_geometry(st_read(shp, quiet = TRUE, type = 1)))
## [1] &quot;sfc_GEOMETRY&quot; &quot;sfc&quot;</code></pre>
<p>This option is handled by the GDAL library; in case of failure to convert to the target type, the original types are returned, which in this case is a mix of <code>POLYGON</code> and <code>MULTIPOLYGON</code> geometries, leading to a <code>GEOMETRY</code> as superclass. When we try to read multipolygons as polygons, all secondary rings of multipolygons get lost.</p>
<p>When functions return objects with mixed geometry type (<code>GEOMETRY</code>), downstream functions such as <code>st_write</code> may have difficulty handling them. For some of these cases, <code>st_cast</code> may help modifying their type. For sets of geometry objects (<code>sfc</code>) and simple feature sets (<code>sf),</code>st_cast` can be used by specifying the target type, or without specifying it.</p>
<pre class="r"><code>ls &lt;- st_linestring(rbind(c(0,0),c(1,1),c(2,1)))
mls &lt;- st_multilinestring(list(rbind(c(2,2),c(1,3)), rbind(c(0,0),c(1,1),c(2,1))))
(sfc &lt;- st_sfc(ls,mls))
## Geometry set for 2 features 
## geometry type:  GEOMETRY
## dimension:      XY
## bbox:           xmin: 0 ymin: 0 xmax: 2 ymax: 3
## CRS:            NA
## LINESTRING (0 0, 1 1, 2 1)
## MULTILINESTRING ((2 2, 1 3), (0 0, 1 1, 2 1))
st_cast(sfc, &quot;MULTILINESTRING&quot;)
## Geometry set for 2 features 
## geometry type:  MULTILINESTRING
## dimension:      XY
## bbox:           xmin: 0 ymin: 0 xmax: 2 ymax: 3
## CRS:            NA
## MULTILINESTRING ((0 0, 1 1, 2 1))
## MULTILINESTRING ((2 2, 1 3), (0 0, 1 1, 2 1))
sf &lt;- st_sf(a = 5:4, geom = sfc)
st_cast(sf, &quot;MULTILINESTRING&quot;)
## Simple feature collection with 2 features and 1 field
## geometry type:  MULTILINESTRING
## dimension:      XY
## bbox:           xmin: 0 ymin: 0 xmax: 2 ymax: 3
## CRS:            NA
##   a                           geom
## 1 5 MULTILINESTRING ((0 0, 1 1,...
## 2 4 MULTILINESTRING ((2 2, 1 3)...</code></pre>
<p>When no target type is given, <code>st_cast</code> tries to be smart for two cases:</p>
<ol style="list-style-type: decimal">
<li>if the class of the object is <code>GEOMETRY</code>, and all elements are of identical type, and</li>
<li>if all elements are length-one <code>GEOMETRYCOLLECTION</code> objects, in which case <code>GEOMETRYCOLLECTION</code> objects are replaced by their content (which may be a <code>GEOMETRY</code> mix again)</li>
</ol>
<p>Examples are:</p>
<pre class="r"><code>ls &lt;- st_linestring(rbind(c(0,0),c(1,1),c(2,1)))
mls1 &lt;- st_multilinestring(list(rbind(c(2,2),c(1,3)), rbind(c(0,0),c(1,1),c(2,1))))
mls2 &lt;- st_multilinestring(list(rbind(c(4,4),c(4,3)), rbind(c(2,2),c(2,1),c(3,1))))
(sfc &lt;- st_sfc(ls,mls1,mls2))
## Geometry set for 3 features 
## geometry type:  GEOMETRY
## dimension:      XY
## bbox:           xmin: 0 ymin: 0 xmax: 4 ymax: 4
## CRS:            NA
## LINESTRING (0 0, 1 1, 2 1)
## MULTILINESTRING ((2 2, 1 3), (0 0, 1 1, 2 1))
## MULTILINESTRING ((4 4, 4 3), (2 2, 2 1, 3 1))
class(sfc[2:3])
## [1] &quot;sfc_MULTILINESTRING&quot; &quot;sfc&quot;
class(st_cast(sfc[2:3]))
## [1] &quot;sfc_MULTILINESTRING&quot; &quot;sfc&quot;

gc1 &lt;- st_geometrycollection(list(st_linestring(rbind(c(0,0),c(1,1),c(2,1)))))
gc2 &lt;- st_geometrycollection(list(st_multilinestring(list(rbind(c(2,2),c(1,3)), rbind(c(0,0),c(1,1),c(2,1))))))
gc3 &lt;- st_geometrycollection(list(st_multilinestring(list(rbind(c(4,4),c(4,3)), rbind(c(2,2),c(2,1),c(3,1))))))
(sfc &lt;- st_sfc(gc1,gc2,gc3))
## Geometry set for 3 features 
## geometry type:  GEOMETRYCOLLECTION
## dimension:      XY
## bbox:           xmin: 0 ymin: 0 xmax: 4 ymax: 4
## CRS:            NA
## GEOMETRYCOLLECTION (LINESTRING (0 0, 1 1, 2 1))
## GEOMETRYCOLLECTION (MULTILINESTRING ((2 2, 1 3)...
## GEOMETRYCOLLECTION (MULTILINESTRING ((4 4, 4 3)...
class(st_cast(sfc))
## [1] &quot;sfc_GEOMETRY&quot; &quot;sfc&quot;
class(st_cast(st_cast(sfc), &quot;MULTILINESTRING&quot;))
## [1] &quot;sfc_MULTILINESTRING&quot; &quot;sfc&quot;</code></pre>
</div>
</div>
<div id="affine-transformations" class="section level2">
<h2>Affine transformations</h2>
<p>Affine transformations are transformations of the type <span class="math inline">$f(x) = xA + b$</span>, where matrix <span class="math inline">$A$</span> is used to flatten, scale and/or rotate, and <span class="math inline">$b$</span> to translate <span class="math inline">$x$</span>. Low-level examples are:</p>
<pre class="r"><code>(p = st_point(c(0,2)))
## POINT (0 2)
p + 1
## POINT (1 3)
p + c(1,2)
## POINT (1 4)
p + p
## POINT (0 4)
p * p
## POINT (0 4)
rot = function(a) matrix(c(cos(a), sin(a), -sin(a), cos(a)), 2, 2)
p * rot(pi/4)
## POINT (1.414214 1.414214)
p * rot(pi/2)
## POINT (2 1.224647e-16)
p * rot(pi)
## POINT (2.449294e-16 -2)</code></pre>
<p>Just to make the point, we can for instance rotate the counties of North Carolina 90 degrees clockwise around their centroid, and shrink them to 75% of their original size:</p>
<pre class="r"><code>nc = st_read(system.file(&quot;shape/nc.shp&quot;, package=&quot;sf&quot;), quiet = TRUE)
ncg = st_geometry(nc)
plot(ncg, border = 'grey')
cntrd = st_centroid(ncg)
## Warning in st_centroid.sfc(ncg): st_centroid does not give correct centroids for
## longitude/latitude data
ncg2 = (ncg - cntrd) * rot(pi/2) * .75 + cntrd
plot(ncg2, add = TRUE)
plot(cntrd, col = 'red', add = TRUE, cex = .5)</code></pre>
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width="672" /></p>
</div>
<div id="coordinate-reference-systems-conversion-and-transformation" class="section level2">
<h2>Coordinate reference systems conversion and transformation</h2>
<div id="getting-and-setting-coordinate-reference-systems-of-sf-objects" class="section level3">
<h3>Getting and setting coordinate reference systems of sf objects</h3>
<p>The coordinate reference system of objects of class <code>sf</code> or <code>sfc</code> is obtained by <code>st_crs</code>, and replaced by <code>st_crs&lt;-</code>:</p>
<pre class="r"><code>library(sf)
geom = st_sfc(st_point(c(0,1)), st_point(c(11,12)))
s = st_sf(a = 15:16, geometry = geom)
st_crs(s)
## Coordinate Reference System: NA
s1 = s
st_crs(s1) &lt;- 4326
st_crs(s1)
## Coordinate Reference System:
##   User input: EPSG:4326 
##   wkt:
## GEOGCRS[&quot;WGS 84&quot;,
##     DATUM[&quot;World Geodetic System 1984&quot;,
##         ELLIPSOID[&quot;WGS 84&quot;,6378137,298.257223563,
##             LENGTHUNIT[&quot;metre&quot;,1]]],
##     PRIMEM[&quot;Greenwich&quot;,0,
##         ANGLEUNIT[&quot;degree&quot;,0.0174532925199433]],
##     CS[ellipsoidal,2],
##         AXIS[&quot;geodetic latitude (Lat)&quot;,north,
##             ORDER[1],
##             ANGLEUNIT[&quot;degree&quot;,0.0174532925199433]],
##         AXIS[&quot;geodetic longitude (Lon)&quot;,east,
##             ORDER[2],
##             ANGLEUNIT[&quot;degree&quot;,0.0174532925199433]],
##     USAGE[
##         SCOPE[&quot;unknown&quot;],
##         AREA[&quot;World&quot;],
##         BBOX[-90,-180,90,180]],
##     ID[&quot;EPSG&quot;,4326]]
s2 = s
st_crs(s2) &lt;- &quot;+proj=longlat +datum=WGS84&quot;
all.equal(s1, s2)
## [1] &quot;Component \&quot;geometry\&quot;: Attributes: &lt; Component \&quot;crs\&quot;: Component \&quot;input\&quot;: 1 string mismatch &gt;&quot;
## [2] &quot;Component \&quot;geometry\&quot;: Attributes: &lt; Component \&quot;crs\&quot;: Component \&quot;wkt\&quot;: 1 string mismatch &gt;&quot;</code></pre>
<p>an alternative, more pipe-friendly version of <code>st_crs&lt;-</code> is</p>
<pre class="r"><code>s1 %&gt;% st_set_crs(4326)
## Simple feature collection with 2 features and 1 field
## geometry type:  POINT
## dimension:      XY
## bbox:           xmin: 0 ymin: 1 xmax: 11 ymax: 12
## geographic CRS: WGS 84
##    a      geometry
## 1 15   POINT (0 1)
## 2 16 POINT (11 12)</code></pre>
</div>
<div id="coordinate-reference-system-transformations" class="section level3">
<h3>Coordinate reference system transformations</h3>
<p>If we change the coordinate reference system from one non-missing value into another non-missing value, the crs is is changed without modifying any coordinates, but a warning is issued that this did not reproject values:</p>
<pre class="r"><code>s3 &lt;- s1 %&gt;% st_set_crs(4326) %&gt;% st_set_crs(3857)
## Warning: st_crs&lt;- : replacing crs does not reproject data; use st_transform for
## that</code></pre>
<p>A cleaner way to do this that better expresses intention and does not generate this warning is to first wipe the CRS by assigning it a missing value, and then setting it to the intended value.</p>
<pre class="r"><code>s3 &lt;- s1  %&gt;% st_set_crs(NA) %&gt;% st_set_crs(3857)</code></pre>
<p>To carry out a coordinate conversion or transformation, we use <code>st_transform</code></p>
<pre class="r"><code>s3 &lt;- s1 %&gt;% st_transform(3857)
s3
## Simple feature collection with 2 features and 1 field
## geometry type:  POINT
## dimension:      XY
## bbox:           xmin: 0 ymin: 111325.1 xmax: 1224514 ymax: 1345708
## projected CRS:  WGS 84 / Pseudo-Mercator
##    a                geometry
## 1 15      POINT (0 111325.1)
## 2 16 POINT (1224514 1345708)</code></pre>
<p>for which we see that coordinates are actually modified (projected).</p>
</div>
</div>
<div id="geometrical-operations" class="section level2">
<h2>Geometrical operations</h2>
<p>All geometrical operations <code>st_op(x)</code> or <code>st_op2(x,y)</code> work both for <code>sf</code> objects as well as <code>sfc</code> objects <code>x</code> and <code>y</code>; since the operations work on the geometries, the non-geometries parts of an <code>sf</code> object are simply discarded. Also, all binary operations <code>st_op2(x,y)</code> called with a single argument, as <code>st_op2(x)</code>, are handled as <code>st_op2(x,x)</code>.</p>
<p>We will illustrate the geometrical operations on a very simple dataset:</p>
<pre class="r"><code>b0 = st_polygon(list(rbind(c(-1,-1), c(1,-1), c(1,1), c(-1,1), c(-1,-1))))
b1 = b0 + 2
b2 = b0 + c(-0.2, 2)
x = st_sfc(b0, b1, b2)
a0 = b0 * 0.8
a1 = a0 * 0.5 + c(2, 0.7)
a2 = a0 + 1
a3 = b0 * 0.5 + c(2, -0.5)
y = st_sfc(a0,a1,a2,a3)
plot(x, border = 'red')
plot(y, border = 'green', add = TRUE)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<div id="unary-operations" class="section level3">
<h3>Unary operations</h3>
<p><code>st_is_valid</code> returns whether polygon geometries are topologically valid:</p>
<pre class="r"><code>b0 = st_polygon(list(rbind(c(-1,-1), c(1,-1), c(1,1), c(-1,1), c(-1,-1))))
b1 = st_polygon(list(rbind(c(-1,-1), c(1,-1), c(1,1), c(0,-1), c(-1,-1))))
st_is_valid(st_sfc(b0,b1))
## [1]  TRUE FALSE</code></pre>
<p>and <code>st_is_simple</code> whether line geometries are simple:</p>
<pre class="r"><code>s = st_sfc(st_linestring(rbind(c(0,0), c(1,1))), 
    st_linestring(rbind(c(0,0), c(1,1),c(0,1),c(1,0))))
st_is_simple(s)
## [1]  TRUE FALSE</code></pre>
<p><code>st_area</code> returns the area of polygon geometries, <code>st_length</code> the length of line geometries:</p>
<pre class="r"><code>st_area(x)
## [1] 4 4 4
st_area(st_sfc(st_point(c(0,0))))
## [1] 0
st_length(st_sfc(st_linestring(rbind(c(0,0),c(1,1),c(1,2))), st_linestring(rbind(c(0,0),c(1,0)))))
## [1] 2.414214 1.000000
st_length(st_sfc(st_multilinestring(list(rbind(c(0,0),c(1,1),c(1,2))),rbind(c(0,0),c(1,0))))) # ignores 2nd part!
## [1] 2.414214</code></pre>
</div>
<div id="binary-operations-distance-and-relate" class="section level3">
<h3>Binary operations: distance and relate</h3>
<p><code>st_distance</code> computes the shortest distance matrix between geometries; this is a dense matrix:</p>
<pre class="r"><code>st_distance(x,y)
##           [,1] [,2] [,3]     [,4]
## [1,] 0.0000000  0.6    0 0.500000
## [2,] 0.2828427  0.0    0 1.000000
## [3,] 0.2000000  0.8    0 1.220656</code></pre>
<p><code>st_relate</code> returns a dense character matrix with the DE9-IM relationships between each pair of geometries:</p>
<pre class="r"><code>st_relate(x,y)
##      [,1]        [,2]        [,3]        [,4]       
## [1,] &quot;212FF1FF2&quot; &quot;FF2FF1212&quot; &quot;212101212&quot; &quot;FF2FF1212&quot;
## [2,] &quot;FF2FF1212&quot; &quot;212101212&quot; &quot;212101212&quot; &quot;FF2FF1212&quot;
## [3,] &quot;FF2FF1212&quot; &quot;FF2FF1212&quot; &quot;212101212&quot; &quot;FF2FF1212&quot;</code></pre>
<p>element [i,j] of this matrix has nine characters, referring to relationship between x[i] and y[j], encoded as <span class="math inline">$I_xI_y,I_xB_y,I_xE_y,B_xI_y,B_xB_y,B_xE_y,E_xI_y,E_xB_y,E_xE_y$</span> where <span class="math inline">$I$</span> refers to interior, <span class="math inline">$B$</span> to boundary, and <span class="math inline">$E$</span> to exterior, and e.g. <span class="math inline">$B_xI_y$</span> the dimensionality of the intersection of the the boundary <span class="math inline">$B_x$</span> of x[i] and the interior <span class="math inline">$I_y$</span> of y[j], which is one of {0,1,2,F}, indicating zero-, one-, two-dimension intersection, and (F) no intersection, respectively.</p>
</div>
<div id="binary-logical-operations" class="section level3">
<h3>Binary logical operations:</h3>
<p>Binary logical operations return either a sparse matrix</p>
<pre class="r"><code>st_intersects(x,y)
## Sparse geometry binary predicate list of length 3, where the predicate was `intersects'
##  1: 1, 3
##  2: 2, 3
##  3: 3</code></pre>
<p>or a dense matrix</p>
<pre class="r"><code>st_intersects(x, x, sparse = FALSE)
##      [,1]  [,2]  [,3]
## [1,] TRUE  TRUE  TRUE
## [2,] TRUE  TRUE FALSE
## [3,] TRUE FALSE  TRUE
st_intersects(x, y, sparse = FALSE)
##       [,1]  [,2] [,3]  [,4]
## [1,]  TRUE FALSE TRUE FALSE
## [2,] FALSE  TRUE TRUE FALSE
## [3,] FALSE FALSE TRUE FALSE</code></pre>
<p>where list element <code>i</code> of a sparse matrix contains the indices of the <code>TRUE</code> elements in row <code>i</code> of the the dense matrix. For large geometry sets, dense matrices take up a lot of memory and are mostly filled with <code>FALSE</code> values, hence the default is to return a sparse matrix.</p>
<p><code>st_intersects</code> returns for every geometry pair whether they intersect (dense matrix), or which elements intersect (sparse). Note that the function <code>st_intersection</code> in this package returns a geometry for the intersection instead of logicals as in <code>st_intersects</code> (see the next section of this vignette).</p>
<p>Other binary predicates include (using sparse for readability):</p>
<pre class="r"><code>st_disjoint(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3] [,4]
## [1,] FALSE  TRUE FALSE TRUE
## [2,]  TRUE FALSE FALSE TRUE
## [3,]  TRUE  TRUE FALSE TRUE
st_touches(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,] FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE
st_crosses(s, s, sparse = FALSE)
##       [,1]  [,2]
## [1,] FALSE FALSE
## [2,] FALSE FALSE
st_within(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,] FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE
st_contains(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,]  TRUE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE
st_overlaps(x, y, sparse = FALSE)
##       [,1]  [,2] [,3]  [,4]
## [1,] FALSE FALSE TRUE FALSE
## [2,] FALSE  TRUE TRUE FALSE
## [3,] FALSE FALSE TRUE FALSE
st_equals(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,] FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE
st_covers(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,]  TRUE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE
st_covered_by(x, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,] FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE
st_covered_by(y, y, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,]  TRUE FALSE FALSE FALSE
## [2,] FALSE  TRUE FALSE FALSE
## [3,] FALSE FALSE  TRUE FALSE
## [4,] FALSE FALSE FALSE  TRUE
st_equals_exact(x, y,0.001, sparse = FALSE)
##       [,1]  [,2]  [,3]  [,4]
## [1,] FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE</code></pre>
</div>
<div id="operations-returning-a-geometry" class="section level3">
<h3>Operations returning a geometry</h3>
<pre class="r"><code>u = st_union(x)
plot(u)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>par(mfrow=c(1,2), mar = rep(0,4))
plot(st_buffer(u, 0.2))
plot(u, border = 'red', add = TRUE)
plot(st_buffer(u, 0.2), border = 'grey')
plot(u, border = 'red', add = TRUE)
plot(st_buffer(u, -0.2), add = TRUE)</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>plot(st_boundary(x))</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>par(mfrow = c(1:2))
plot(st_convex_hull(x))
plot(st_convex_hull(u))</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>par(mfrow = c(1,1))</code></pre>
<pre class="r"><code>par(mfrow=c(1,2))
plot(x)
plot(st_centroid(x), add = TRUE, col = 'red')
plot(x)
plot(st_centroid(u), add = TRUE, col = 'red')</code></pre>
<p><img src="data:image/png;base64,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" width="672" /></p>
<p>The intersection of two geometries is the geometry covered by both; it is obtained by <code>st_intersection</code>:</p>
<pre class="r"><code>plot(x)
plot(y, add = TRUE)
plot(st_intersection(st_union(x),st_union(y)), add = TRUE, col = 'red')</code></pre>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAABdFBMVEUAAAABAQECAgIDAwMFAAAFBQUGBgYHBwcICAgJCQkKCgoLCwsMAAANDQ0OAAAPAAARAAARERESAAATExMUFBQbGxscHBwfHx8hISEiAAAiIiInAAApKSksLCwvLy8wAAAwMDAzAAAzMzM0NDQ1AAA2AAA4ODg+Pj5CQkJDQ0NEAABERERHAABKSkpLAABMTExOTk5PT09RUVFUVFRVVVVWVlZbAABbW1tcAABcXFxiYmJnZ2dpaWltAABtbW1wcHBxAAByAABycnJ3d3d4eHh6enp8AACAgICIAACIiIiJiYmKioqNAACNjY2QkJCXl5eZAACcnJyenp6hoaGjo6OkpKSqqqqsrKytAACtra2xsbG0AAC1tbW7u7vAwMDHx8fKysrMAADMzMzOAADPz8/X19fa2trd3d3e3t7h4eHj4+Pl5eXm5uboAADq6uru7u7v7+/x8fH09PT3AAD4+Pj6+vr7+/v9AAD9/f3+/v7/AAD///8bCG/iAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAbnklEQVR4nO3c3fd2bVXX4QsUSCpLA4p8ySCoJKQXIlSSBLQoH0orKFIIeqUowt5U/nk3s+Ezf+PhO+Y9rznv+zh21xjrXPM81/hsrI31+AEAkcezHwDgKgEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQEFCAkoQEhAAUICChASUICQgAKEBBQgJKAAIQHd7fvf4239rk374b20aUQEdLV//q4Hb+s9/7bctN989rOt9d5/P/juvhkEdLUvPn7sJ3gb7338y3LTvmDT3t57H18dfHffDAK62hcfX372I+z0914M6FuDT3LIpwW0nYCuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVBLQgoAEB7SegqwloQUADAtpPQFcT0IKABgS0n4CuJqAFAQ0IaD8BXU1ACwIaENB+ArqagBYENCCg/QR0NQEtCGhAQPsJ6GoCWhDQgID2E9DVXouA/sOP9/vA45NfrPzs48+/ghVf8k+fvcXvjID2E9DVXouA/sjjdfenn73F74yA9hPQ1V6LgL778ev/qNtfenz8y5UPPn6hfb2X/P3H+5+9xe+MgPYT0NVek4D+tz/o9pnH58r1PvL4jfb1XvItAX1zCehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK6moAWdgX0Pf+43T/5Zv9BCGg/AV1NQAubAvrvHq/Cu77ffhAC2k9AVxPQwqaA/s/P/ny/H3385/aDENB+ArqagBY2BfSV+LMCeoKAriagBQENCGg/AV1NQAsCGhDQfgK6moAWBDQgoP0EdDUBLQhoQED7CehqAloQ0ICA9hPQ1QS0IKABAe0noKsJaEFAAwLaT0BXE9CCgAYEtJ+AriagBQENCGg/AV1NQAsCGhDQfgK62hcfv/Lt0lf/xQ3veiUB/evlen/h8Q++dd6PP75en3zoEwLaTkBX+9Ir+dHPuP6AfvbZI930tWe/0K8dAV3tmx//SOlDj/e8/4RXEdB/81f+cuknHz/SPsP7Xrjnn3i8u32997/r8XP10af+2nef/UK/dgT0rLceX3j2I7wzr+Ib6Et+9fE322f47ccny2vffnykfb0f/MTje/03pZ2AniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAniWgAsqzCehZAiqgPJuAnvViQP/jN/YQ0ICA3iCgZ70U0N96rCKgPzQBvUFAz3opoJ97/KkP7/E3/q+A/rAE9AYBPevlgH5mtFmrCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLQgoYwT0LAEtCChjBPQsAS0IKGME9CwBLbyagL7/L1Y++HhfeS32bgE9QUDPEtDCqwjof3jfY9gH/0/7EPQT0LMEtPAqAvqD7/2n0tcfP1NfjP2v/hnoJ6BnCWjhlQT0Ba/kGyg3COhZAloQUMYI6FkCWhBQxgjoWQJaEFDGCOhZAloQUMYI6FkCWhBQxgjoWQJaEFDGCOhZAloQUMYI6FkCWhBQxgjoWQJaEFDGCOhZAloQUMYI6FlvdED/1U99uPRnHn+y/+9IL/iggL65BPSsNzqgn5n+OdKL/s7gsbOKgJ71hgf0b32j8ncfv/YK/o70kv89eOysIqBnveEB/Vw5/Bceb72K/YY/TkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtBCT0D/+9/+xCK//HsNI9FPQM8S0EJPQL/2WOW/NoxEPwE9S0ALPQH96uOv/s4aH3j8l4aR6CegZwlooSugn264S5MPCehSAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnqWgBYElDECepaAFgSUMQJ6loAWBJQxAnrWywH92D97rX1MQNlAQM96KaCff7z2Pl8OL6CMEdCzXgrodz/606+5j363HF5AGSOgZ70U0DeagDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM8S0IKAMkZAzxLQgoAyRkDPEtCCgDJGQM966/Gpr/I2PtUU0I8/e5D/588J6FICetZXHhS+0rC9//rZQ/z/vtswEv0E9Kzv/OKneVu/+J2G7f0fv/TsMf6oL/1+w0j0E1CAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCAkIAChAQUICSgACEBBQgJKEBIQAFCAgoQElCA0B8C6y7V+ll56fYAAAAASUVORK5CYII=" width="672" /> Note that the function <code>st_intersects</code> returns a logical matrix indicating whether each geometry pair intersects (see the previous section in this vignette).</p>
<p>To get <em>everything but</em> the intersection, use <code>st_difference</code> or st_sym_difference`:</p>
<pre class="r"><code>par(mfrow=c(2,2), mar = c(0,0,1,0))
plot(x, col = '#ff333388'); 
plot(y, add=TRUE, col='#33ff3388')
title(&quot;x: red, y: green&quot;)
plot(x, border = 'grey')
plot(st_difference(st_union(x),st_union(y)), col = 'lightblue', add = TRUE)
title(&quot;difference(x,y)&quot;)
plot(x, border = 'grey')
plot(st_difference(st_union(y),st_union(x)), col = 'lightblue', add = TRUE)
title(&quot;difference(y,x)&quot;)
plot(x, border = 'grey')
plot(st_sym_difference(st_union(y),st_union(x)), col = 'lightblue', add = TRUE)
title(&quot;sym_difference(x,y)&quot;)</code></pre>
<p><img 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" width="672" /></p>
<p>Function <code>st_segmentize</code> adds points to straight line sections of a lines or polygon object:</p>
<pre class="r"><code>par(mfrow=c(1,3),mar=c(1,1,0,0))
pts = rbind(c(0,0),c(1,0),c(2,1),c(3,1))
ls = st_linestring(pts)
plot(ls)
points(pts)
ls.seg = st_segmentize(ls, 0.3)
plot(ls.seg)
pts = ls.seg
points(pts)
pol = st_polygon(list(rbind(c(0,0),c(1,0),c(1,1),c(0,1),c(0,0))))
pol.seg = st_segmentize(pol, 0.3)
plot(pol.seg, col = 'grey')
points(pol.seg[[1]])</code></pre>
<p><img 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" width="672" /></p>
<p>Function <code>st_polygonize</code> polygonizes a multilinestring, as far as the points form a closed polygon:</p>
<pre class="r"><code>par(mfrow=c(1,2),mar=c(0,0,1,0))
mls = st_multilinestring(list(matrix(c(0,0,0,1,1,1,0,0),,2,byrow=TRUE)))
x = st_polygonize(mls)
plot(mls, col = 'grey')
title(&quot;multilinestring&quot;)
plot(x, col = 'grey')
title(&quot;polygon&quot;)</code></pre>
<p><img 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" width="672" /></p>
</div>
</div>

</div>
</div>

</div>

// add bootstrap table styles to pandoc tables
function bootstrapStylePandocTables() {
  $('tr.header').parent('thead').parent('table').addClass('table table-condensed');
}
$(document).ready(function () {
  bootstrapStylePandocTables();
});

</script>

$(document).ready(function () {
  $('.tabset-dropdown > .nav-tabs > li').click(function () {
    $(this).parent().toggleClass('nav-tabs-open')
  });
});
</script>

// move toc-ignore selectors from section div to header
    $('div.section.toc-ignore')
        .removeClass('toc-ignore')
        .children('h1,h2,h3,h4,h5').addClass('toc-ignore');

// establish options
    var options = {
      selectors: "h1,h2",
      theme: "bootstrap3",
      context: '.toc-content',
      hashGenerator: function (text) {
        return text.replace(/[.\\/?&!#<>]/g, '').replace(/\s/g, '_');
      },
      ignoreSelector: ".toc-ignore",
      scrollTo: 0
    };
    options.showAndHide = false;
    options.smoothScroll = false;

// tocify
    var toc = $("#TOC").tocify(options).data("toc-tocify");
});
</script>

<script>
  (function () {
    var script = document.createElement("script");
    script.type = "text/javascript";
    script.src  = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
    document.getElementsByTagName("head")[0].appendChild(script);
  })();
</script>

</body>
</html>