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relate

relate


Description

Get a matrix indicating the presence or absence of spatial relationships between geometries.

Usage

## S4 method for signature 'SpatVector,SpatVector'
relate(x, y, relation)

## S4 method for signature 'SpatVector,missing'
relate(x, y, relation, pairs=FALSE, symmetrical=FALSE)

Arguments

x

SpatVector or any object for which vect returns a SpatVector or else for which ext returns a SpatExtent

y

missing or as for x

relation

character. One of "intersects", "touches", "crosses", "overlaps", "within", "contains", "covers", "coveredby", "disjoint". Or a "DE-9IM" string such as "FF*FF****". See wikipedia or geotools doc

pairs

logical. If TRUE a "from", "to" matrix is returned for the cases where the requested relation is TRUE

symmetrical

logical. If TRUE and pairs=TRUE, the relation between a pair is only included once. For example, the relation between geometry 1 and 3 is included, but the relation between 3 and 1 is not. Note that whole some relationships are symmetrical (e.g. "touches", other are not (e.g. "within")

Value

matrix

See Also

Examples

# polygons
p1 <- vect("POLYGON ((0 0, 8 0, 8 9, 0 9, 0 0))")
p2 <- vect("POLYGON ((5 6, 15 6, 15 15, 5 15, 5 6))")
p3 <- vect("POLYGON ((8 2, 9 2, 9 3, 8 3, 8 2))")
p4 <- vect("POLYGON ((2 6, 3 6, 3 8, 2 8, 2 6))")
p5 <- vect("POLYGON ((2 12, 3 12, 3 13, 2 13, 2 12))")
p6 <- vect("POLYGON ((10 4, 12 4, 12 7, 11 7, 11 6, 10 6, 10 4))")

p <- rbind(p1, p2, p3, p4, p5, p6)
plot(p, col=rainbow(6, alpha=.5))
lines(p, lwd=2)
text(p)

## relate SpatVectors
relate(p1, p2, "intersects")
relate(p1, p3, "touches")
relate(p1, p5, "disjoint")
relate(rbind(p1, p2), p4, "disjoint")

## relate geometries within SpatVectors
# which are completely separated?
relate(p, relation="disjoint")

# which touch (not overlap or within)?
relate(p, relation="touches")
# which overlap (not merely touch, and not within)?
relate(p, relation="overlaps")
# which are within (not merely overlap)?
relate(p, relation="within")

# do they touch or overlap or are within?
relate(p, relation="intersects")

all(relate(p, relation="intersects") == 
  (relate(p, relation="overlaps") | 
   relate(p, relation="touches") |
   relate(p, relation="within")))

#for polygons, "coveredby" is "within"
relate(p, relation="coveredby")

# polygons, lines, and points 

pp <- rbind(p1, p2)
L1 <- vect("LINESTRING(1 11, 4 6, 10 6)")
L2 <- vect("LINESTRING(8 14, 12 10)")
L3 <- vect("LINESTRING(1 8, 12 14)")
lns <- rbind(L1, L2, L3)
pts <- vect(cbind(c(7,10,10), c(3,5,6)))

plot(pp, col=rainbow(2, alpha=.5))
text(pp, paste0("POL", 1:2), halo=TRUE)
lines(pp, lwd=2)
lines(lns, col=rainbow(3), lwd=4)
text(lns, paste0("L", 1:3), halo=TRUE)
points(pts, cex=1.5)
text(pts, paste0("PT", 1:3), halo=TRUE, pos=4)


relate(lns, relation="crosses")
relate(lns, pp, relation="crosses") 
relate(lns, pp, relation="touches") 
relate(lns, pp, relation="intersects") 

relate(lns, pp, relation="within")
# polygons can contain lines or points, not the other way around
relate(lns, pp, relation="contains") 
relate(pp, lns, relation="contains") 
# points and lines can be covered by polygons
relate(lns, pp, relation="coveredby")

relate(pts, pp, "within")
relate(pts, pp, "touches")
relate(pts, lns, "touches")

terra

Spatial Data Analysis

v1.2-10
GPL (>= 3)
Authors
Robert J. Hijmans [cre, aut] (<https://orcid.org/0000-0001-5872-2872>), Roger Bivand [ctb] (<https://orcid.org/0000-0003-2392-6140>), Karl Forner [ctb], Jeroen Ooms [ctb] (<https://orcid.org/0000-0002-4035-0289>), Edzer Pebesma [ctb] (<https://orcid.org/0000-0001-8049-7069>)
Initial release
2021-05-12

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