Distinguishing the 3 primitive 3D-topological congurations: simplex, hole, tunnel
Thomas Illetschko, Ion Adrian, Yll Haxhimusa, G Kropatsch Walter · 2006
With most of the work focussing on 2D represen- tations, topology preserving hierarchies have received a lot of attention. Concepts for extending such representations to handle any dimension have also been the subject of active research in the recent years, but very little work has been done to collapse a huge amount of volumetric data into it's minimal topologically equivalent data structure. This pa- per presents 3D combinatorial maps and the primitive op- erations needed to simplify such a representation. Minimal congur ations of the three primitive topological congur a- tions, simplex, hole, and tunnel, are studied. First experi- mental results and possible applications show the potential of the approach.