M.Sc. Thesis Defense: 5-6-7 Meshes - Nima Aghdaii

This thesis introduces a new type of meshes called 5-6-7 meshes. For many mesh processing tasks, low- or high-valence vertices are undesirable. At the same time, it is not always possible to achieve complete vertex valence regularity, i.e., to only have valence-6 vertices. A 5-6-7 mesh is a closed triangle mesh where each vertex has valence 5, 6, or 7. An intriguing question is whether it is always possible to convert an arbitrary mesh into a 5-6-7 mesh.

We answer this question in the positive by presenting a 5-6-7 remeshing algorithm which converts a closed triangle mesh with arbitrary genus into a 5-6-7 mesh, which closely approximates the geometry of the original mesh and has a comparable vertex count as the original mesh. We demonstrate the results of our remeshing algorithm on meshes with sharp features and different topology and complexity.

TASC1 9204 West
Thursday, June 28, 2012 - 09:30 to 11:00