areaLoss

From spatstat v1.37-0 by Adrian Baddeley

Difference of Disc Areas

Computes the area of that part of a disc that is not covered by other discs.

Keywords: spatial, math

Usage

areaLoss(X, r, ..., W=as.owin(X), subset=NULL,
                 exact=FALSE,
                 ngrid=spatstat.options("ngrid.disc"))

Arguments

X: Locations of the centres of discs. A point pattern (object of class "ppp").
r: Disc radius, or vector of disc radii.
...: Ignored.
W: Optional. Window (object of class "owin") inside which the area should be calculated.
subset: Optional. Index identifying a subset of the points of X for which the area difference should be computed.
exact: 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.
ngrid: Integer. Number of points in the square grid used to compute the discrete approximation, when exact=FALSE.

Details

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.

Value

A matrix with one row for each point in X (or X[subset]) and one column for each value in r.

Examples

data(cells)
   areaLoss(cells, 0.1)

Documentation reproduced from package spatstat, version 1.37-0, License: GPL (>= 2)

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