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voronoi-package {voronoi}

Methods and applications related to Voronoi tessellations
Package: 
voronoi
Version: 
1.1

Description

Methods and applications related to Voronoi tessellations

Details

Package: voronoi
Type: Package
Version: 1.1
Date: 2011-08-08
License: GPL-3
Depends: R (>= 2.11.1), deldir, spatialkernel, splancs, gpclib
LazyLoad: yes

References

C.D Barr and F.P Schoenberg. On the Voronoi Estimator for the Intensity of an Inhomogeneous Planar Poisson Process. Biometrika, 1:1-15, 2010.

Q. Du, V. Faber and M. Gunzburger. Centroidal Voronoi Tesselations: Applications and Algorithms. SIAM Review 41:637-676, 1999.

C.G. Wager, B.A. Coull and N. Lange. Modelling Spatial Intensity for Replicated Inhomogeneous Point Patterns in Brain Imaging. J.R. Statist. Soc. B, 66:429-446, 2004.

See Also

ve, centroidal, pattern.sim, voronoi.game

Examples

#=====> ve <=====#
p  <- pattern.sim(7, type='moon')
t5 <- ve(p, rw=c(0,1,0,1))
plot(t5)
points(t5, cex=0.2)
 
 
#=====> centroidal <=====#
f           <- function(x, y) x^4 + y^4
antideriv.x <- function(x, y) x^5/5 + x*y^4
antideriv.y <- function(x, y) y*x^4 + y^5/5
obj         <- deldir(runif(10), runif(10))
c.obj       <- centroidal(x = obj, eps = .005, f = f,
                          antideriv.x = antideriv.x,
                          antideriv.y = antideriv.y,
                          divisions = 10, verbose = 5)
par(mfrow=c(1,2))
plot(obj, wlines="tess", main="Original Tessellation")
plot(c.obj$T, wlines="tess", main="Centroidal Tessellation")
 
 
#=====> pattern.sim <=====#
par(mfrow = c(2,2))
plot(pattern.sim(type = "linear"), main = "linear")
plot(pattern.sim(type = "quadratic"), main = "quadratic")
plot(pattern.sim(type = "moon"), main = "moon")
plot(pattern.sim(type = "ridge"), main = "ridge")
 
for(i in 1:4) {
   plot(pattern.sim(i + 6, type = "moon"), 
     main = paste("r = ", i + 6), pch = 20, cex = 0.2)
}
 
for(i in 1:4) {
   plot(pattern.sim(i + 6, type = "ridge"), 
     main = paste("r = ", i + 6), pch = 20, cex = 0.2)
}

Author(s)

Christopher D. Barr, Travis A. Gerke, David M. Diez

Maintainer: Christopher D. Barr

Documentation reproduced from package voronoi, version 1.1. License: GPL-3