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Computer Graphics

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  • $\begingroup$ You mark the triangle with 3 yellow verts to show this is the intended result as opposed to the near-zero area triangle that goes across the hourglass choke-point? This is your visual bias, but you can play around with the mesh and see that, at least locally if you take just a few triangles around the hourglass hole, you can move verts in such a way that you produce a manifold mesh by starting with red and blue triangles: i.imgur.com/vIO2dMy.png - so it seems the "topological" solution you request isn't possible... $\endgroup$ Commented Jul 10 at 18:06
  • $\begingroup$ ...but you could for each vertex see the triangles it can create and sort them by area and try to create the biggest area triangles or maybe sort by relative difference between sides and choose the triangles that are the closest to equilateral shape. $\endgroup$ Commented Jul 10 at 18:07
  • $\begingroup$ @MarkusvonBroady I just answered the question. There is a topological solution for this problem. $\endgroup$ Commented Jul 10 at 19:07