spatstat.geom (version 3.3-6)

integral.tessfun: Integrate a Function Which is Constant on Each Tile of a Tessellation

Description

Given a function which is constant on each tile of a tessellation, compute the integral of the function.

Usage

# S3 method for tessfun
integral(f, domain = NULL, ...)

Value

A single numeric value.

Arguments

f

Integrand. A function of class "tessfun" (created by as.function.tess).

domain

Optional window (object of class "owin") specifying a subregion to which the integral should be restricted.

...

Ignored.

Author

Adrian Baddeley .

Details

The command integral is generic. This is the method for objects of class "tessfun".

The integrand f should be a function of class "tessfun" created by as.function.tess. It represents a function which takes a constant value on each tile of a tessellation.

The integral is calculated by multiplying the area of each tile by the value of the function in that tile, and summing. This avoids the need for discretisation and avoids concomitant discretisation errors.

See Also

as.function.tess.

Examples

  V <- dirichlet(runifrect(5))
  f <- as.function(V, values=1/tile.areas(V))
  integral(f) # should be close to 5.