2006 | OriginalPaper | Buchkapitel
Programming Triangulations: The Triangulation Template Library (TTL)
verfasst von : Øyvind Hjelle, Morten Dæhlen
Erschienen in: Triangulations and Applications
Verlag: Springer Berlin Heidelberg
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Triangulations can be dealt with algebraically using the principles of G-maps introduced in Chapter 2. High-level abstraction of functions operating on triangulations is achieved using G-maps, which are algebraically defined based on a limited number of clear concepts. At an abstract level, the topology of a triangulation can be described by using only one single topological element, the
dart
. Furthermore, the three α-iterators, α
0
, α
1
and α
2
, are the only operations needed for traversing the triangulation.