PGrids (Polyhedral Grids) : a new 3D geometric support for geomodelling

@inproceedings{RUNKJRM7,
 abstract = { A model may be considered under three different aspects, which are the connectivity, corresponding ta the way an object is connected ta neighbouring object in the model; the subdivision, decomposing the object into elementary elements called cells (vertices, edges, polygons, polyhedra, ... ) and the embedding, representing the geometry and properties attached to the objects. In GOCAD, a 3D Model is defined as a partition of space. The inner space of the model is subdivided into regions. Each region is initially empty but can be filled with a 3D support for representing properties. To store these properties, volumic objects such as tetrahedralized volumes, channels, SGrid or other supports, are defined as a sub-partition of the 3D regions of the model. As such, we present in this paper the notion of unstructured polyhedral grid (PGrid). This paper introduces as well a method for constructing such object to represent stratigraphic structures. It is shown how unconformities are dealt with, enabling non neighbourhood connectivities to be replaced by regular connectivities of the polyhedra. },
 author = { Conreaux, Stéphane AND Levy, Bruno },
 booktitle = { Proc. $19^{th}$ Gocad Meeting },
 pages = { 164-174 },
 publisher = { ASGA },
 title = { PGrids (Polyhedral Grids) : a new 3D geometric support for geomodelling },
 year = { 1999 }
}