This algorithm visits each point in the point pattern X,
determines which points of X are ``neighbours'' of the current
point, extracts the marks of these neighbouring points,
applies the function fun to the marks,
and collects the value or values returned by fun. The definition of ``neighbours'' depends on the arguments
N and R, exactly one of which must be given.
If N is given, then the neighbours of the current
point are the N points of X which are closest to
the current point (including the current point itself).
If R is given, then the neighbourhood of the current point
consists of all points of X which lie closer than a distance R
from the current point.
Each point of X is visited; the neighbourhood
of the current point is determined; the marks of these points
are extracted as a vector v; then the function
fun is called as:
fun(v, ...)
where ... are the arguments passed from the call to
markstat.
The results of each call to fun are collected and returned
according to the usual rules for apply and its
relatives. See Value above.
This function is just a convenient wrapper for a common use of the
function applynbd. For more complex tasks,
use applynbd.
To simply tabulate the marks in every R-neighbourhood, use
marktable.