I am looking for a data structure to represent non-orientable manifolds (i.e. meshes like Moebius Strip, but without self-intersection). I will then implement other algorithms using this DS such as, but not limited to, Catmull-Clark Subdivision, Offsetting, Minkowski Addition and Minimal Surface. I know that I cannot use Half-Edge Data Structure because it can only be used for orientable manifolds.
I am currently using Winged-Edge Data Structure. This is a very obvious choice, easy to program and reason. I am asking whether there are better, newly invented data structures; or are there any data structures that are better for certain niche use cases (that I might be interested)? I would be more than happy if you could point me some research papers.
I only need to represent 3-dimentional manifolds.