Computes quadrature weights for a given set of points, using the areas of tiles in the Dirichlet tessellation.
Data defining a point pattern.
Default window for the point pattern
Logical value. If
This function computes a set of quadrature weights
for a given pattern of points
(typically comprising both “data” and 'dummy” points).
quad.object for an explanation of quadrature
weights and quadrature schemes.
The weights are computed using the Dirichlet tessellation.
X and (optionally)
window are converted into a
point pattern object. Then the Dirichlet tessellation of the points
X is computed.
The weight attached to a point of
X is the area of
its Dirichlet tile (inside the window
exact=TRUE the Dirichlet tessellation is computed exactly
by the Lee-Schachter algorithm using the package
Otherwise a pixel raster approximation is constructed and the areas
are approximations to the true weights. In all cases the sum of the
weights is equal to the area of the window.
Vector of nonnegative weights for each point in
1 2 3
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