Integral on a Linear Network
Computes the integral (total value) of a function or pixel image over a linear network.
## S3 method for class 'linim' integral(f, domain=NULL, ...) ## S3 method for class 'linfun' integral(f, domain=NULL, ..., delta)
f |
A pixel image on a linear network (class |
domain |
Optional window specifying the domain of integration. Alternatively a tessellation. |
... |
Ignored. |
delta |
Optional. The step length (in coordinate units) for computing the approximate integral. A single positive number. |
The integral (total value of the function over the network) is calculated.
If domain
is a window (class "owin"
) then the integration
will be restricted to this window. If domain
is a tessellation
(class "tess"
) then the integral of f
in each
tile of domain
will be computed.
A single numeric or complex value
(or a vector of such values if domain
is a tessellation).
Adrian Baddeley Adrian.Baddeley@curtin.edu.au, Rolf Turner r.turner@auckland.ac.nz and Ege Rubak rubak@math.aau.dk.
# make some data xcoord <- linfun(function(x,y,seg,tp) { x }, simplenet) integral(xcoord) X <- as.linim(xcoord) integral(X) # integrals inside each tile of a tessellation A <- quadrats(Frame(simplenet), 3) integral(X, A)
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