This flashcard is just one of a free flashcard set. See all flashcards!

Two-manifold: A surface where every local vicinity is homeomorphic to a disc.

Triangle mesh criteria for 2-manifoldness:

• the interior of faces is flat and hence homeomorphic to a disc
• at every edge, there must be exactly 2 adjacent faces (except for boundary edges with 1 adjacent face)
• every vertex must have a uniquely defined 1-ring neighborhood