Description Details Author(s) References Examples
Given a 2D point set, different three point sets are selected. The Hausdorff distances between the convex hulls are calculated exactly.
Package: | disp2D |
Type: | Package |
Version: | 1.0 |
Date: | 2012-05-24 |
License: | GPL-2 |
LazyLoad: | yes |
Guillermo Ayala <Guillermo.Ayala@uv.es> Maintainer: Guillermo Ayala
Ayala G. and Lopez M. The simplex dispersion ordering and its application to the evaluation of human corneal endothelia. Journal of Multivariate Analysis, 100:1447-1464, 2009.
G. Ayala, M.C. Lopez-Diaz, M. Lopez-Diaz, and L. Martinez-Costa. Studying hypertension in ocular fundus images using Hausdorff dispersion ordering. Mathematical Medicine and Biology: A journal of the IMA, 2011.
Miguel Lopez-Diaz. An indexed multivariate dispersion ordering based on the Hausdorff distance. Journal of Multivariate Analysis, 97(7):1623 - 1637, 2006.
G. Ayala, M.C. Lopez-Diaz, M. Lopez-Diaz and L. Martinez-Costa. Methods and algorithms to test the simplex and Hausdorff dispersion orders with a simulation study and an Ophthalmological application. Technical Report. 2012
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | library(disp2D)
library(geometry)
library(mvtnorm)
sigma1 = matrix(c(0.912897,1.092679,1.092679,1.336440),byrow=TRUE,ncol=2)
sigma2 = sigma1 + diag(1,ncol=2,nrow=2)
A = rmvnorm(200,mean=rep(0,2),sigma=sigma1)
B = rmvnorm(200,mean=rep(0,2),sigma=sigma2)
r=.1
prob = probA = probB = rep(1/200,200)
HA = exactHausdorff(A,probA,r)
HB = exactHausdorff(B,probB,r)
plot(HA$distance, cumsum(HA$probability), type = "l", xlab = "",
ylab = "DF", xlim = range(c(HA,HB)))
lines(HB$distance, cumsum(HB$probability), lty = 2)
d1 = simplex(A,bootstrap=TRUE,nresamples=100)
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