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CGAL 6.0 - 3D Boolean Operations on Nef Polyhedra
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#include <CGAL/Nef_polyhedron_3.h>
A halffacet is an oriented, rectilinear bounded part of a plane.
The following figure depicts the incidences to halfedges, vertices and the notion of facet cycles.
The member function twin() returns the opposite halffacet, incident_volume returns the incident volume. A Halffacet cycle either consists of consecutive shalfedges along the border (or a hole) of the halffacet, or of a single shalfloop on the sphere map of a vertex isolated on the halffacet. The iterator range (halffacet_cycles_begin()/halffacet_cycles_end()) provides an entry element for each halffacet cycle of a halffacet.
Creation
There is no need for a user to create a Halffacet explicitly. The class Nef_polyhedron_3<Traits> manages the needed halffacets internally.
Types | |
The following types are the same as in | |
| typedef unspecified_type | Mark |
| type of mark. | |
| typedef unspecified_type | Plane_3 |
| plane type stored in Halffacet. | |
| typedef unspecified_type | Object_list |
| list of Object handles. | |
| typedef unspecified_type | Halffacet_const_handle |
| const handle to Halffacet. | |
| typedef unspecified_type | Volume_const_handle |
| const handle to volume. | |
| typedef unspecified_type | Halffacet_cycle_const_iterator |
| const iterator over the entries to all halffacet cycles of a halffacet. | |
Operations | |
| const Mark & | mark () const |
the mark of f . | |
| const Plane_3 & | plane () const |
the supporting plane of f . | |
| Halffacet_const_handle | twin () const |
the twin of f . | |
| Volume_const_handle | incident_volume () const |
the incident volume of f . | |
| Halffacet_cycle_const_iterator | facet_cycles_begin () const |
iterator over the entries to all halffacet cycles of f . | |
| Halffacet_cycle_const_iterator | facet_cycles_end () const |
| past-the-end iterator. | |