Computes the area of that part of a disc that is not covered by other discs.
areaGain(u, X, r, ..., W=as.owin(X), exact=FALSE,
ngrid=spatstat.options("ngrid.disc"))
Coordinates of the centre of the disc of interest.
A vector of length 2.
Alternatively, a point pattern (object of class "ppp"
).
Locations of the centres of other discs.
A point pattern (object of class "ppp"
).
Disc radius, or vector of disc radii.
Arguments passed to distmap
to determine the pixel
resolution, when exact=FALSE
.
Window (object of class "owin"
)
in which the area should be computed.
Choice of algorithm.
If exact=TRUE
, areas are computed exactly using
analytic geometry. If exact=FALSE
then a faster algorithm
is used to compute a discrete approximation to the areas.
Integer. Number of points in the square grid used to compute
the discrete approximation, when exact=FALSE
.
A matrix with one row for each point in u
and one column for each value in r
.
This function computes the area of that part of
the disc of radius r
centred at the location u
that is not covered by any of the discs of radius r
centred at the points of the pattern X
.
This area is important in some calculations related to
the area-interaction model AreaInter
.
If u
is a point pattern and r
is a vector,
the result is a matrix, with one row for each point in u
and one column for each entry of r
. The [i,j]
entry
in the matrix is the area of that part of the disc of radius
r[j]
centred at the location u[i]
that is
not covered by any of the discs of radius r[j]
centred at the points of the pattern X
.
If W
is not NULL
, then the areas are computed only
inside the window W
.
# NOT RUN {
u <- c(0.5,0.5)
areaGain(u, cells, 0.1)
# }
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