How can I tell if a mesh is a plane from a topological point of view?

Asked Dec 23 '22 at 17:13

Active Dec 23 '22 at 17:13

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I need to distinguish between meshes that can be topologically transformed to a plane (a triangulated square, for example) and those that can not (a cube or a spherical mesh), and among those toruses.

How would I do that - if the mesh is represented with nodes, edges and the resulting triangles?

Sorry if this is imprecise, newbie, and non-mathematician here.

asked Dec 23 '22 at 17:13

simone

Is your mesh clearly coming from a surface? Do you know which edges of the mesh are coming from the boundary? – Moishe Kohan Dec 24 '22 at 16:37
No - I have no control over the mesh, it is generated using photogrammetry, so it can be anything – simone Dec 24 '22 at 16:48
OK, then take a look here and see if any of these algorithms are useful to you. – Moishe Kohan Dec 24 '22 at 16:50

How can I tell if a mesh is a plane from a topological point of view?

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