Find polygon in voronoi diagram

Hi all,

If I generate a Voronoi diagram via the below code, how would I find the points that form a polygon from the diagram?

 lambda = 10;
npoints = poissrnd(lambda);
pproc = rand(npoints,2);
x = pproc(:,1);
y = pproc(:,2);
[vx,vy] = voronoi(x,y);
plot(vx,vy);

vx and vy are 2-by-N matrices where N varies;

Answer 1

[Jonathan Mayers]

Hi all,

The following code solves the problem.

clc; close all; clearvars;
lambda = 10;
npoints = poissrnd(lambda);
pproc = rand(npoints,2);
x = pproc(:,1);
y = pproc(:,2);
[vx,vy] = voronoi(x,y);
plot(vx,vy,'k-'); hold on; axis([0 2 0 2]);

 % Perform DT on original x and y
DT = delaunayTriangulation(x,y);

 % V contains vertices
% R contains regions
[V,R] = voronoiDiagram(DT);

 % Obtain vertices enclosing region 1
coord = V(R{1},:);

 % for while loop
i = 2; 

 % Exclude infinite vertices
% Loop until no region has infinite vertices
while ismember(Inf,coord)
    coord = V(R{i},:);
    i = i + 1;
end

 % Append the first vertex just to plot a complete polygon
coord = [coord;coord(1,:)];

 % Plot the polygon
plot(coord(:,1),coord(:,2),'b-','linewidth',2);

The following image is an example output of the above code.

[Karishma q]

How do I get the co-ordinates of each polygon separately? I tried adding a for loop which defines the number of regions, but I am still getting the vertices of region1. Also [vx, vy]=voronoi(x,y) provides all the coordinates, I want for the individual regions. Can you help me on this?

[HG]

https://www.mathworks.com/matlabcentral/answers/855885-color-voronoi-diagram-and-coresponding-matrix?s_tid=prof_contriblnk

please answer my question if it's possible for you.