Degenerated edges removing will change the shape

Currently, I do not have much idea about what is the meaning of "Degenerated edges". If someone could explain this, that would be very helpful. I tried to find detail about that but could not get clear idea. Also, I saw there are "Degenerated shapes", "Degenerated vertex" and "Degenerated curves". But why that kind of shapes are getting generated? What could be the reason for that?

When trying to remove degenerated edges from the given shape and rebuild it, the shape is getting changed. Is that okay for having degenerated edges in a shape?

Mikhail Sazonov's picture

This documentation http://dl.mycivil.ir/reza/Ansys%20Modeling%20And%20Meshing%20Guide.pdf contains good explanation of degeneracy on the example of a cone apex. Please read the section "5.10.2.1. Degeneracies" of it.

In short, degenerated edges are not evil. They help to obtain a closed boundary of a face in the parametric space of the underlying surface. Majority of meshing algorithms build triangulation in parametric space, and if you remove degenerated edge the boundary becomes open, which turns meshing algorithm in quandary, and it produces invalid triangulation.

Lahiru Dilshan's picture

Thank you very much for this explanation. That helps me a lot!