# areaLoss

From spatstat v1.21-0
by Adrian Baddeley

##### Difference of Disc Areas

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

##### 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`

.

##### See Also

##### Examples

```
data(cells)
areaLoss(cells, 0.1)
```

*Documentation reproduced from package spatstat, version 1.21-0, License: GPL (>= 2)*

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