Creating a 2D mesh on a given boundary

Hello, I wanted to ask how to create a triangular mesh in a delimited region. I have a vector of points x and y delimiting all the point, I constructed the region boundary using

k = boundary(x,y);

and I can see the plot of my boundary with

plot(x(k),y(k));

How do i create a triangular mesh of a specific h size covering this region?

Thanks for your help!

Answer 1

[Pavan Guntha]

Hi,

You could use 'triplot' function with an appropriate triangulation object to plot the triangular mesh. An illustration on how can we draw a triangular mesh onto a random shape is shown below:

P = rand(10,2);
K = boundary(P(:,1), P(:,2));
plot(P(K,1), P(K,2))
T = delaunayTriangulation(P);
triplot(T)

The random shape & triangular mesh are as follows:

For more information you could look at the following documentation pages:

• triplot - Used to plot a 2D triangular mesh based on the input x,y co-ordinates & a triangulation object.
• delaunayTriangulation - We can specify few edge constraints on how a triangulation object is to be created based on which the triangular mesh is plotted.

Hope this helps!

[Fabrizio Bernardi]

Thank you very much! Very helpful :)