Polyhedral solid cut: latest results

@inproceedings{ConreauxRM1998b,
 abstract = { Most topological models allow to build objects with only one sort of elements (for instance triangles or squares). For example, cutting a triangulated surface implies that the surface must be retriangulated. This operation is complex and may create dirty triangles (i.e. small or flat triangles). The cut algorithm of the current GOCAD SGrid is not really a cut as the cells of the SGrid are dissociated rather than cut. The current implementation preserves the topology of the cells. This causes a dirty geometry along the cut border. 
In GOCAD, the new topological model is based on the notions of G-Maps. This topological models enables to represent arbitrary n-sied polygons and polyhedra, thus making it possible to implement a true cutting operation.
This paper deals with two different cutting operations, the first consists in inserting a line into a surface, and the second one consists in cutting a polyhedral solid with a triangulated surface. },
 author = { Conreaux, Stéphane AND Boucard, N. },
 booktitle = { 18th gOcad Meeting },
 month = { "september" },
 publisher = { ASGA },
 title = { Polyhedral solid cut: latest results },
 year = { 1998 }
}