CGAL 6.0.2 - 3D Envelopes

Loading...
Searching...
No Matches
Class and Concept List
Here is the list of all concepts and classes of this package. Classes are inside the namespace CGAL. Concepts are in the global namespace.
[detail level 1 2 3]

▼N CGAL |
C Env_plane_traits_3 | The traits class template `Env_plane_traits_3` models the `EnvelopeTraits_3` concept, and is used for the construction of lower and upper envelopes of planes and half planes in the space
C Env_sphere_traits_3 | The traits class `Env_sphere_traits_3` models the `EnvelopeTraits_3` concept, and is used for the construction of lower and upper envelopes of spheres
▼C Env_surface_data_traits_3 | The class `Env_surface_data_traits_3` is a model of the `EnvelopeTraits_3` concept and serves as a decorator class that allows the extension of the surfaces defined by the base traits-class (the `Traits` parameter), which serves as a geometric traits-class (a model of the `EnvelopeTraits_3` concept), with extraneous (non-geometric) data fields
C Surface_3 | The `Surface_3` class nested within the surface-data traits extends the `Base_traits_3::Surface_3` type with an extra data field
C Xy_monotone_surface_3 | The `Xy_monotone_surface_3` class nested within the surface-data traits extends the `Base_traits_3::Xy_monotone_surface_3` type with an extra data field
C Env_triangle_traits_3 | The traits class template `Env_triangle_traits_3` models the `EnvelopeTraits_3` concept, and is used for the construction of lower and upper envelopes of triangles in the space
▼C Envelope_diagram_2 | The class-template `Envelope_diagram_2` represents the minimization diagram that corresponds to the lower envelope of a set of curves, or the maximization diagram that corresponds to their upper envelope
C Face |
C Halfedge |
C Vertex |
C EnvelopeTraits_3 | This concept defines the minimal set of geometric predicates and operations needed to compute the envelope of a set of arbitrary surfaces in \( \mathbb{R}^3\). It refines the `ArrangementXMonotoneTraits_2` concept. In addition to the `Point_2` and `X_monotone_curve_2` types and the `Has_boundary_category` category tag listed in the base concept, it also lists the `Surface_3` and `Xy_monotone_surface_3` types, which represent arbitrary surfaces and \( xy\)-monotone surfaces, respectively, and some constructions and predicates on these types. Note however, that these operations usually involve the projection of 3D objects onto the \( xy\)-plane