plotCSregs.tri: The plot of the Central Similarity (CS) Proximity Regions for...

In pcds: Proximity Catch Digraphs and Their Applications

The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - one triangle case

Description

Plots the points in and outside of the triangle tri and also the CS proximity regions which are also triangular for points inside the triangle tri with edge regions are based on the center of mass CM.

CS proximity regions are defined with respect to the triangle tri with expansion parameter t>0, so CS proximity regions are defined only for points inside the triangle tri.

Edge regions are based on center M=(m_1,m_2) in Cartesian coordinates or M=(\alpha,\beta,\gamma) in barycentric coordinates in the interior of the triangle tri; default is M=(1,1,1) i.e., the center of mass of tri.

See also (\insertCiteceyhan:Phd-thesis,ceyhan:arc-density-CS,ceyhan:test2014;textualpcds).

Usage

plotCSregs.tri(
  Xp,
  tri,
  t,
  M = c(1, 1, 1),
  asp = NA,
  main = NULL,
  xlab = NULL,
  ylab = NULL,
  xlim = NULL,
  ylim = NULL,
  edge.reg = FALSE,
  ...
)

Arguments

Xp	A set of 2D points for which CS proximity regions are constructed.
tri	A 3 \times 2 matrix with each row representing a vertex of the triangle.
t	A positive real number which serves as the expansion parameter in CS proximity region.
M	A 2D point in Cartesian coordinates or a 3D point in barycentric coordinates which serves as a center in the interior of the triangle tri; default is M=(1,1,1) i.e., the center of mass of tri.
asp	A numeric value, giving the aspect ratio y/x (default is NA), see the official help page for asp by typing "? asp".
main	An overall title for the plot (default=NULL).
xlab, ylab	Titles for the x and y axes, respectively (default=NULL for both).
xlim, ylim	Two numeric vectors of length 2, giving the x- and y-coordinate ranges (default=NULL for both).
edge.reg	A logical argument to add edge regions to the plot, default is edge.reg=FALSE.
...	Additional plot parameters.

Value

Plot of the CS proximity regions for points inside the triangle tri (and just the points outside tri)

Author(s)

Elvan Ceyhan

References

\insertAllCited

See Also

plotCSregs, plotASregs.tri and plotPEregs.tri,

Examples

A<-c(1,1); B<-c(2,0); C<-c(1.5,2);
Tr<-rbind(A,B,C);
n<-10

set.seed(1)
Xp0<-runif.tri(n,Tr)$g
M<-as.numeric(runif.tri(1,Tr)$g)  #try also M<-c(1.6,1.0)

t<-.5  #try also t<-2

plotCSregs.tri(Xp0,Tr,t,M,main="Proximity Regions for CS-PCD", xlab="",ylab="")

Xp = Xp0[1,]
plotCSregs.tri(Xp,Tr,t,M,main="CS Proximity Regions with t=.5", xlab="",ylab="",edge.reg=TRUE)

# or try the default center
plotCSregs.tri(Xp,Tr,t,main="CS Proximity Regions with t=.5", xlab="",ylab="",edge.reg=TRUE);
#M=(arcsCStri(Xp,Tr,r)$param)$c #the part "M=(arcsPEtri(Xp,Tr,r)$param)$cent" is optional,
#for the below annotation of the plot

#can add vertex labels and text to the figure (with edge regions)
txt<-rbind(Tr,M)
xc<-txt[,1]+c(-.02,.02,.02,.02)
yc<-txt[,2]+c(.02,.02,.02,.03)
txt.str<-c("A","B","C","M")
text(xc,yc,txt.str)

pcds documentation built on May 29, 2024, 9:36 a.m.