![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/175114/image.png)
Voronoi Diagram with Delaunay Triangulation overlay
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If I have some Voronoi Diagram:
clc
clear all
close all
n=5
x=10*rand(1,n)
y=10*rand(1,n)
voronoi(x,y)
[vx vy] =voronoi(x,y)
close all
plot(x,y,'r+',vx,vy,'b-'); axis equal
figure(2)
for j=1:length(vx(1,:))
line([vx(1,j) vx(2,j)],[vy(1,j) vy(2,j)])
end
axis equal
How can I use the Delaunay Triangulation Matlab program (DelaunayTri) from the points created by the Voronoi Diagram, and to have the circles appear as in the attached link (most left image), or more like the interactions on the top of page 3 from the linked paper Animating Bubble Interactions in a Liquid Foam ? Delaunay Triangulation Image
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Jason Nicholson
2014 年 6 月 17 日
編集済み: Jason Nicholson
2014 年 6 月 17 日
Try this:
clc; clear all; close all;
n=5;
x = 10*rand(1, n);
y = 10*rand(1, n);
voronoi(x,y,'--k');
DT = DelaunayTri(x', y');
% use this in newer versions of matlab
% DT = delaunayTriangulation (x, y);
hold all;
triplot(DT,'k-');
[centers, radii] = DT.circumcenters();
theta = -pi:pi/20:pi;
for iCircle=1:size(centers,1)
xCircle = centers(iCircle,1) + radii(iCircle)*cos(theta);
yCircle = centers(iCircle,2) + radii(iCircle)*sin(theta);
plot(xCircle, yCircle, 'b-');
end
plot(x,y,'+k', 'MarkerSize', 12)
axis equal;
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/175114/image.png)
2 件のコメント
Jason Nicholson
2014 年 6 月 18 日
If this answers your question, please mark this as the correct answer. It helps my reputation points on MATLAB answers.
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