spatstat (version 1.63-0)

integral.linim: Integral on a Linear Network

Description

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

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.

Value

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

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.

See Also

linim, integral.im

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
  A <- quadrats(Frame(simplenet), 3)
  integral(X, A)
# }