plotPEarcs | R Documentation |
Plots the arcs of Proportional Edge Proximity Catch Digraph
(PE-PCD) whose vertices are the data
points in Xp
in the multiple triangle case
and the Delaunay triangles based on Yp
points.
PE proximity regions are defined
with respect to the Delaunay triangles based on Yp
points
with expansion parameter r \ge 1
and vertex regions in each triangle are
based on the center M=(\alpha,\beta,\gamma)
in barycentric coordinates in the interior of each Delaunay triangle
or based on circumcenter of
each Delaunay triangle (default for M=(1,1,1)
which is the center of mass of the triangle).
Each Delaunay triangle is first converted to
an (nonscaled) basic triangle so that M
will be the same
type of center for each Delaunay triangle
(this conversion is not necessary
when M
is CM
).
Convex hull of Yp
is partitioned by
the Delaunay triangles based on Yp
points
(i.e., multiple triangles are the set of these Delaunay triangles
whose union constitutes the
convex hull of Yp
points).
Loops are not allowed so arcs are only possible
for points inside the convex hull of Yp
points.
See (\insertCiteceyhan:Phd-thesis,ceyhan:arc-density-PE,ceyhan:dom-num-NPE-Spat2011;textualpcds) for more on the PE-PCDs. Also, see (\insertCiteokabe:2000,ceyhan:comp-geo-2010,sinclair:2016;textualpcds) for more on Delaunay triangulation and the corresponding algorithm.
plotPEarcs(
Xp,
Yp,
r,
M = c(1, 1, 1),
asp = NA,
main = NULL,
xlab = NULL,
ylab = NULL,
xlim = NULL,
ylim = NULL,
...
)
Xp |
A set of 2D points which constitute the vertices of the PE-PCD. |
Yp |
A set of 2D points which constitute the vertices of the Delaunay triangles. |
r |
A positive real number
which serves as the expansion parameter in PE proximity region;
must be |
M |
A 3D point in barycentric coordinates
which serves as a center in the interior of each Delaunay
triangle or circumcenter of each Delaunay triangle
(for this, argument should be set as |
asp |
A |
main |
An overall title for the plot (default= |
xlab, ylab |
Titles for the |
xlim, ylim |
Two |
... |
Additional |
A plot of the arcs of the PE-PCD
whose vertices are the points in data set Xp
and the Delaunay
triangles based on Yp
points
Elvan Ceyhan
plotPEarcs.tri
, plotASarcs
,
and plotCSarcs
## Not run:
#nx is number of X points (target) and ny is number of Y points (nontarget)
nx<-20; ny<-5; #try also nx<-40; ny<-10 or nx<-1000; ny<-10;
set.seed(1)
Xp<-cbind(runif(nx,0,1),runif(nx,0,1))
Yp<-cbind(runif(ny,0,.25),
runif(ny,0,.25))+cbind(c(0,0,0.5,1,1),c(0,1,.5,0,1))
#try also Yp<-cbind(runif(ny,0,1),runif(ny,0,1))
M<-c(1,1,1) #try also M<-c(1,2,3)
r<-1.5 #try also r<-2
plotPEarcs(Xp,Yp,r,M,xlab="",ylab="")
## End(Not run)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.