Mesh Triangulation

I was thinking of a way to draw the diagonals from the center of the shape outwards and then use Weaverbird to recreate the mesh from lines.

Something like this :slight_smile:
But I wonder if I can make it simpler.

triangulation.gh (50.6 KB)

Yes that should work too. For more complex quad meshes it might also be nice to have a function that takes some input curves, and for each quad chooses the diagonal most aligned with the closest curve

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My train of thought may be divided into four parts and then one of them. Mirror.

Seemed like it might be useful, so I made a script for triangulating by closest curve direction:
triangulate_direction.gh (6.7 KB)

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Fun to see what happens when you equalize the triangles produced from this

triangulate_direction_relax.gh (14.3 KB)

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The diagonals at the bottom right corner are the other way around. The rest is perfect. :slight_smile:

Not sure I follow?
You choose the direction with the input curves.
For the pattern in your post at the start, you’d give it 2 crossed lines:
image

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tridir

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OK! I was trying it out and yes, the curves as a guide do the trick pretty well. I will play with some random shapes and see what I can get.

I inflate the mesh later on, so I should not have flat faces at the corners and also this way the curvature of the entire shape is way better at the end.

Damn this is trippy as hell :smiley:

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Look at it when you use the guide curves the way I needed. Pretty neat thing :slight_smile:

triangulate_direction_relax_v2.gh (12.6 KB)

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Look at that curvature analysis. Look at that symmetry.

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Nice!
I added another little script for if you want to use an irregular boundary curve - it trims off any faces outside the curve, and also any ‘hanging’ triangles with 2 boundary edges:

triangulate_withincurve_pressure.gh (14.9 KB)

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God dammit Daniel, this is pure beauty!!!

wow !!

@DanielPiker

Hi , do you think this approach can work also with multiple curves?

I have a mesh generated trimming a surface with a series of closed curves and then Mesh Brep.
When I thicken and smooth the final result is bad, since the topology is not regular ( see below).

I tried out the exemple shown above, but I don’t understand what is going wrong…

Here’s the file.
triangulate_withincurve_pressure-multiple-curves.gh (132.0 KB)

Thanks!

I updated this to work with nested curves :slightly_smiling_face:
triangulate_withincurve_pressure_multicurve.gh (14.7 KB)

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I’m hypnotized.

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