CGAL 4.7 - 3D Envelopes: CGAL Namespace Reference

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Envelopes

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Classes | Functions
CGAL Namespace Reference

## Classes

class | Env_plane_traits_3
| The traits class `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. More...
class | 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. More...
class | 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. More...

class | Env_triangle_traits_3
| The traits class `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. More...
class | 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. More...

## Functions

template<class InputIterator , class Traits >
void | lower_envelope_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
| Computes the lower envelope of a set of surfaces in \( \mathbb{R}^3\), as given by the range `[begin, end)`. More...
template<class InputIterator , class Traits >
void | lower_envelope_xy_monotone_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
| Computes the lower envelope of a set of \( xy\)-monotone surfaces in \( \mathbb{R}^3\), as given by the range `[begin, end)`. More...
template<class InputIterator , class Traits >
void | upper_envelope_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
| Computes the upper envelope of a set of surfaces in \( \mathbb{R}^3\), as given by the range `[begin, end)`. More...
template<class InputIterator , class Traits >
void | upper_envelope_xy_monotone_3 (InputIterator begin, InputIterator end, Envelope_diagram_2< Traits > &diag)
| Computes the upper envelope of a set of \( xy\)-monotone surfaces in \( \mathbb{R}^3\), as given by the range `[begin, end)`. More...