3D Delaunay Triangulation Error/Weirdness

Hey everyone,

I want to use the delaunay triangulation function to triangulate a sphere, but I'm getting some weird triangles/resutls i.e.:

From:

[x, y, z] = sphere(100);
D = delaunay(x(:) ,y(:), z(:));
hidden on
trimesh(D,x,y,z)

Is there any way to make the triangulation more regular so that most connections appear like:

As in are there other functions, parameters, ways to do this?

I noticed that the 2D delaunay looks better when plotted as in:

[x, y, z] = sphere(100);
D = delaunay(x(:) ,y(:));
hidden on
trimesh(D,x,y,z)

But, I want the manifold geometry to be contained in the triangulation, and I don't believe this would incorporate that (i.e. there would be no difference in output of delaunay if it was actually an ellipse along the z axis).

Answer 1

[Pratyush Roy]

Since the number of faces is set to 100 for the given sphere function, the triangulation has become highly dense.

Here are some possible workarounds:

1. Set the axis lengths to be equal such that all the axes are scaled equally.
2. Change the figure size.
3. Changing the number of faces to a smaller value.

The following code snippet might be helpful

[x, y, z] = sphere(100);
D = delaunay(x(:),y(:),z(:));
trimesh(D,x,y,z);
set(gcf, 'Position',  [100, 100, 700, 600]);
axis equal;