R: Compute Areas of Tiles in Dirichlet Tessellation

dirichletAreas {spatstat} | R Documentation

## Compute Areas of Tiles in Dirichlet Tessellation

### Description

Calculates the area of each tile in the Dirichlet-Voronoi tessellation of a point pattern.

### Usage

    dirichletAreas(X)

### Arguments

`X` | Point pattern (object of class `"ppp"`).

### Details

This is an efficient algorithm to calculate the areas of the tiles in the Dirichlet-Voronoi tessellation.

If the window of `X` is a binary pixel mask, the tile areas are computed by counting pixels. Otherwise the areas are computed exactly using analytic geometry.

If any points of `X` are duplicated, the duplicates will have tile area zero.

### Value

Numeric vector with one entry for each point of `X`.

### Author(s)

Adrian Baddeley Adrian.Baddeley@curtin.edu.au

Rolf Turner r.turner@auckland.ac.nz

and Ege Rubak rubak@math.aau.dk

### See Also

`dirichlet`, `dirichletVertices`

### Examples

     aa <- dirichletAreas(cells)

[Package spatstat version 1.54-0 Index]