Difference of Disc Areas
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"))
u |
Coordinates of the centre of the disc of interest.
A vector of length 2.
Alternatively, a point pattern (object of class |
X |
Locations of the centres of other discs.
A point pattern (object of class |
r |
Disc radius, or vector of disc radii. |
... |
Arguments passed to |
W |
Window (object of class |
exact |
Choice of algorithm.
If |
ngrid |
Integer. Number of points in the square grid used to compute
the discrete approximation, when |
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
.
A matrix with one row for each point in u
and one column for each value in r
.
Adrian Baddeley Adrian.Baddeley@curtin.edu.au and Rolf Turner r.turner@auckland.ac.nz
u <- c(0.5,0.5) areaGain(u, cells, 0.1)
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