Local Topological Modification of Hexahedral Meshes Part II: Combinatorics and Relation to Boy Surface
Kateřina Jurková, Franck Ledoux, Raphaël Kuate, Tom Rickmeyer, Timothy J. Tautges, Hamdi Zorgati · ESAIM Proceedings · 2008
Hexahedral meshes are structured as a set of ordered layer of hexes which makes local topological modifications difficult to do. For instance, removing an hex generally implies to remove a complete layer of hexes. Few works focus on local topological modifications in hexahedral meshes. In this paper, we provide some results which extend and complete some existing works [1,14,15,17], proving in a first part that the flipping operations defined by M. Bern and D. Eppstein are combinatorially free and showing in a second part how to introduce a Boy surface into a dual mesh. This operation allows us to modify the parity of the number of hexes in the primal mesh, thing that can not be done by the M. Bern and D. Eppstein basis of operations.