polarbody: Polar Body and Voronoi Flower

In spatstat.geom: Geometrical Functionality of the 'spatstat' Family

Polar Body and Voronoi Flower

Description

Compute the polar body or the Voronoi flower of a two-dimensional domain.

Usage

polarbody(W, origin = c(0, 0), npoly = 512)

voronoiFlower(W, origin = c(0, 0), npoly = 512)

Arguments

W	Window (object of class "owin") representing the domain.
origin	The location of the origin for the support function. Either a numeric vector of length 2 giving the location, or a point pattern containing only one point, or a list with two entries named x and y, or one of the character strings "centroid", "midpoint", "left", "right", "top", "bottom", "topleft", "bottomleft", "topright" or "bottomright" (partially matched).
npoly	Number of edges in the approximating polygon.

Details

The polar body and Voronoi flower of a set W are geometrical constructions based on the support function h_W(\theta) of W.

The polar body of a two-dimensional domain W is the set whose boundary has polar coordinates (\theta, 1/h_W(\theta)) for all directions \theta.

The Voronoi flower is the set whose boundary has polar coordinates (\theta, 2 h_W(\theta)).

Value

A polygonal window (object of class "owin") representing the polar body or the Voronoi flower.

Author(s)

\adrian

.

See Also

SupportFun

Examples

  plot(polarbody(letterR, "midpoint"))

  plot(voronoiFlower(letterR, "midpoint"))

spatstat.geom documentation built on March 21, 2026, 9:06 a.m.