Area of Part of Disc
Compute area of intersection between a disc and a window
discpartarea(X, r, W=as.owin(X))
X |
Point pattern (object of class |
r |
Matrix, vector or numeric value specifying the radii of the discs. |
W |
Window (object of class |
This algorithm computes the exact area of the intersection between
a window W and a disc (or each of several discs).
The centres of the discs are specified by the point pattern
X, and their radii are specified by r.
If r is a single numeric value, then the algorithm computes the
area of intersection between W and the disc of radius r centred
at each point of X, and returns a one-column matrix
containing one entry for each point of X.
If r is a vector of length m, then the algorithm
returns an n * m matrix in which the entry on row i,
column j is the area of the
intersection between W and the disc centred at X[i]
with radius r[j].
If r is a matrix, it should have one row for each point in
X. The algorithm
returns a matrix in which the entry on row i,
column j is the area of the
intersection between W and the disc centred at X[i]
with radius r[i,j].
Areas are computed by analytic geometry.
Numeric matrix, with one row for each point of X.
Adrian Baddeley Adrian.Baddeley@curtin.edu.au and Rolf Turner r.turner@auckland.ac.nz
X <- unmark(demopat)[1:3] discpartarea(X, 0.2)
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