Local Topological Modification of Hexahedral Meshes. Part I: A Set of Dual-Based Operations
|Title||Local Topological Modification of Hexahedral Meshes. Part I: A Set of Dual-Based Operations|
|Publication Type||Conference Paper|
|Year of Publication||2008|
|Authors||Tautges, TJ, Knoop, SE, Rickmeyer, TJ|
|Conference Name||Centre d'ete Mathematiue de Recherche Avancee en Calcul Scientifique (CEMRACS'07)|
|Conference Location||Luminy, France|
For hexahedral meshes, it is difficult to make topological modifications which preserve conformal property and which are local to the modified elements. This is most easily understood in how changes affect the dual surfaces (“sheets”) and lines (“chords”), which have nonlocal extent in hexahedral meshes. A set of three operations is proposed which represent distinct local changes to the hex mesh and its dual. These operations are shown to compose the larger set of “flipping” operations described by Bern et. al. The relation between these dualbased operations and the insertion of a Boy surface in the dual, described by Bern, is also discussed.