[R] Two 3D cones in one graph
Jaakko Nevalainen
Jaakko.Nevalainen at uta.fi
Thu Apr 23 13:22:07 CEST 2009
Dear R-users:
The following code produces two cones in two panels. What I would like
to have is to have them in one, and to meet in the origin. Does anyone
have any good ideas how to do this?
Thanks for your help
Jaakko
library(lattice)
A<-matrix(ncol=2, nrow=64)
for(i in 0:63)
{
A[i+1,1]<-sin(i/10)
A[i+1,2]<-cos(i/10)
}
Sigma<-matrix(c(0.5,0.1,0.1,0.25),byrow=TRUE,nrow=2)
G<-eigen(Sigma)
E1<-t(G$vector%*%t(A))
E2<-t(diag(sqrt(G$values))%*%t(E1))
mu<-c(0.1,0.2)
E3<-sweep(E2,2,-mu)
a<-sqrt(max(rowSums(sweep(E3,2,mu)**2)))
b<-sqrt(min(rowSums(sweep(E3,2,mu)**2)))
astar<-as.numeric(a+abs(mu[1]))
bstar<-as.numeric(b+abs(mu[2]))
xstar<-seq(-astar,astar,len=50)
ystar<-seq(-bstar,bstar,len=50)
g<-expand.grid(x=xstar,y=ystar)
p1<-2*g$x*mu[1]/a**2+2*g$y*mu[2]/b**2
p2<-(g$x**2/a**2+g$y**2/b**2)
p3<-mu[1]**2/a**2+mu[2]**2/b**2-1
q<-(p1+sqrt(p1**2-4*p2*p3))/(2*p2)
z<-sqrt(1-(q*g$x)**2-(q*g$y)**2)
zstar<-(z/q)
ind0<-!(q<1)
g$z<-zstar
sc<-matrix(c(rep(c(-1,-1,-1),sum(ind0))),nrow=sum(ind0),byrow=TRUE)
gstar<-rbind(g[ind0,],sc*g[ind0,])
group<-c(rep(1,nrow(gstar)/2),rep(2,nrow(gstar)/2))
gstar$group<-group
wireframe(z~x*y|group,gstar,colorkey=TRUE,drape=TRUE,
scales=list(arrows=FALSE))
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