Geometry Relationships - Contains and Within
Functions for testing whether one geometry contains or is contained within another geometry
gContains(spgeom1, spgeom2 = NULL, byid = FALSE, prepared=TRUE, returnDense=TRUE, STRsubset=FALSE, checkValidity=FALSE) gContainsProperly(spgeom1, spgeom2 = NULL, byid = FALSE, returnDense=TRUE, checkValidity=FALSE) gCovers(spgeom1, spgeom2 = NULL, byid = FALSE, returnDense=TRUE, checkValidity=FALSE) gCoveredBy(spgeom1, spgeom2 = NULL, byid = FALSE, returnDense=TRUE, checkValidity=FALSE) gWithin(spgeom1, spgeom2 = NULL, byid = FALSE, returnDense=TRUE, checkValidity=FALSE)
spgeom1, spgeom2 |
sp objects as defined in package sp. If spgeom2 is NULL then spgeom1 is compared to itself. |
byid |
Logical vector determining if the function should be applied across ids (TRUE) or the entire object (FALSE) for spgeom1 and spgeom2 |
prepared |
Logical determining if prepared geometry (spatially indexed) version of the GEOS function should be used. In general prepared geometries should be faster than the alternative. |
returnDense |
default TRUE, if false returns a list of the length of spgeom1 of integer vectors listing the |
checkValidity |
default FALSE; error meesages from GEOS do not say clearly which object fails if a topology exception is encountered. If this argument is TRUE, |
STRsubset |
logical argument for future use |
gContains
returns TRUE if none of the point of spgeom2
is outside of spgeom1
and at least one point of spgeom2
falls within spgeom1
.
gContainsProperly
returns TRUE under the same conditions as gContains
with the additional requirement that spgeom2
does not intersect with the boundary of spgeom1
. As such any given geometry will Contain itself but will not ContainProperly itself.
gCovers
returns TRUE if no point in spgeom2
is outside of spgeom1
. This is slightly different from gContains
as it does not require a point within spgeom1
which can be an issue as boundaries are not considered to be "within" a geometry, see gBoundary
for specifics of geometry boundaries.
gCoveredBy
is the converse of gCovers
and is equivalent to swapping spgeom1
and spgeom2
.
gWithin
is the converse of gContains
and is equivalent to swapping spgeom1
and spgeom2
.
Error messages from GEOS, in particular topology exceptions, report 0-based object order, so geom 0 is spgeom1, and geom 1 is spgeom2.
Roger Bivand & Colin Rundel
Helpful information on the subtle differences between these functions: http://lin-ear-th-inking.blogspot.com/2007/06/subtleties-of-ogc-covers-spatial.html
l1 = readWKT("LINESTRING(0 3,1 1,2 2,3 0)") l2 = readWKT("LINESTRING(1 3.5,3 3,2 1)") l3 = readWKT("LINESTRING(1 3.5,3 3,4 1)") pt1 = readWKT("MULTIPOINT(1 1,3 0)") pt2 = readWKT("MULTIPOINT(0 3,3 0)") pt3 = readWKT("MULTIPOINT(1 1,2 2,3 1)") p1 = readWKT("POLYGON((0 0,0 2,1 3.5,3 3,4 1,3 0,0 0))") p2 = readWKT("POLYGON((1 1,1 2,2 2,2 1,1 1))") par(mfrow=c(2,3)) plot(l1,col='blue');plot(pt1,add=TRUE,pch=16) title(paste("Contains:",gContains(l1,pt1), "\nContainsProperly:",gContainsProperly(l1,pt1), "\nCovers:",gCovers(l1,pt1))) plot(l1,col='blue');plot(pt2,add=TRUE,pch=16) title(paste("Contains:",gContains(l1,pt2), "\nContainsProperly:",gContainsProperly(l1,pt2), "\nCovers:",gCovers(l1,pt2))) plot(p1,col='blue',border='blue');plot(pt3,add=TRUE,pch=16) title(paste("Contains:",gContains(p1,pt3), "\nContainsProperly:",gContainsProperly(p1,pt3), "\nCovers:",gCovers(p1,pt3))) plot(p1,col='blue',border='blue');plot(l2,lwd=2,add=TRUE,pch=16) title(paste("Contains:",gContains(p1,l2), "\nContainsProperly:",gContainsProperly(p1,l2), "\nCovers:",gCovers(p1,l2))) plot(p1,col='blue',border='blue');plot(l3,lwd=2,add=TRUE,pch=16) title(paste("Contains:",gContains(p1,l3), "\nContainsProperly:",gContainsProperly(p1,l3), "\nCovers:",gCovers(p1,l3))) plot(p1,col='blue',border='blue');plot(p2,col='black',add=TRUE,pch=16) title(paste("Contains:",gContains(p1,p2), "\nContainsProperly:",gContainsProperly(p1,p2), "\nCovers:",gCovers(p1,p2)))
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