Computes the area of that part of a disc that is not covered by other discs.
areaLoss(X, r, ..., W=as.owin(X), subset=NULL,
exact=FALSE,
ngrid=spatstat.options("ngrid.disc"))A matrix with one row for each point in X (or X[subset])
and one column for each value in r.
Locations of the centres of discs.
A point pattern (object of class "ppp").
Disc radius, or vector of disc radii.
Ignored.
Optional. Window (object of class "owin")
inside which the area should be calculated.
Optional. Index identifying a subset of the points of X
for which the area difference 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.
Adrian Baddeley Adrian.Baddeley@curtin.edu.au and Rolf Turner r.turner@auckland.ac.nz
This function computes, for each point X[i] in X
and for each radius r,
the area of that part of the disc of radius r centred at the
location X[i] that is not covered by any of the
other discs of radius r centred at the points X[j]
for j not equal to i.
This area is important in some calculations related to
the area-interaction model AreaInter.
The result is a matrix, with one row for each point in X
and one column for each entry of r.
AreaInter,
areaGain,
dilated.areas