Voronoi Diagram with Delaunay Triangulation overlay

Question

Sean 2014-6-17

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/134889-voronoi-diagram-with-delaunay-triangulation-overlay

评论： Sean 2014-6-18

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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Answer 1

Jason Nicholson 2014-6-17

2
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/134889-voronoi-diagram-with-delaunay-triangulation-overlay#answer_141444

编辑：Jason Nicholson 2014-6-17

在 MATLAB Online 中打开

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;