# integral.linim

0th

Percentile

##### Integral on a Linear Network

Computes the integral (total value) of a function or pixel image over a linear network.

Keywords
spatial, math
##### Usage
# S3 method for linim
integral(f, domain=NULL, ...)# S3 method for linfun
integral(f, domain=NULL, ..., delta)
##### Arguments
f

A pixel image on a linear network (class "linim") or a function on a linear network (class "linfun").

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.

##### Details

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.

##### Value

A single numeric or complex value (or a vector of such values if domain is a tessellation).

linim, integral.im

##### Aliases
• integral.linim
• integral.linfun
##### Examples
# NOT RUN {
# 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