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

CGAL 4.8 - Bounding Volumes

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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]

CGAL |
Approximate_min_ellipsoid_d | An object of class `Approximate_min_ellipsoid_d` is an approximation to the ellipsoid of smallest volume enclosing a finite multiset of points in \( d\)-dimensional Euclidean space \( \E^d\), \( d\ge 2\)
Approximate_min_ellipsoid_d_traits_2 | The class `Approximate_min_ellipsoid_d_traits_2` is a traits class for `CGAL::Approximate_min_ellipsoid_d<Traits>` using the 2-dimensional CGAL kernel
Approximate_min_ellipsoid_d_traits_3 | The class `Approximate_min_ellipsoid_d_traits_3` is a traits class for `CGAL::Approximate_min_ellipsoid_d<Traits>` using the 3-dimensional CGAL kernel
Approximate_min_ellipsoid_d_traits_d | The class `Approximate_min_ellipsoid_d_traits_d` is a traits class for `CGAL::Approximate_min_ellipsoid_d<Traits>` using the d-dimensional CGAL kernel
Min_annulus_d | An object of the class `Min_annulus_d` is the unique annulus (region between two concentric spheres with radii \( r\) and \( R\), \( r \leq R\)) enclosing a finite set of points in \( d\)-dimensional Euclidean space \( \E^d\), where the difference \( R^2-r^2\) is minimal
Min_circle_2 | An object of the class `Min_circle_2` is the unique circle of smallest area enclosing a finite (multi)set of points in two-dimensional Euclidean space \( \E^2\)
Min_circle_2_traits_2 | The class `Min_circle_2_traits_2` is a traits class for `Min_circle_2<Traits>` using the two-dimensional CGAL kernel
Min_ellipse_2 | An object of the class `Min_ellipse_2` is the unique ellipse of smallest area enclosing a finite (multi)set of points in two-dimensional euclidean space \( \E^2\)
Min_ellipse_2_traits_2 | The class `Min_ellipse_2_traits_2` is a traits class for `CGAL::Min_ellipse_2<Traits>` using the two-di-men-sional CGAL kernel
Min_quadrilateral_default_traits_2 | The class `Min_quadrilateral_default_traits_2` is a traits class for the functions `min_rectangle_2`, `min_parallelogram_2` and `min_strip_2` using a two-dimensional CGAL kernel
Min_sphere_annulus_d_traits_2 | The class `Min_sphere_annulus_d_traits_2` is a traits class for the \( d\)-dimensional optimisation algorithms using the two-dimensional CGAL kernel
Min_sphere_annulus_d_traits_3 | The class `Min_sphere_annulus_d_traits_3` is a traits class for the \( d\)-dimensional optimisation algorithms using the three-dimensional CGAL kernel
Min_sphere_annulus_d_traits_d | The class `Min_sphere_annulus_d_traits_d` is a traits class for the \( d\)-dimensional optimisation algorithms using the \( d\)-dimensional CGAL kernel
Min_sphere_d | An object of the class `Min_sphere_d` is the unique sphere of smallest volume enclosing a finite (multi)set of points in \( d\)-dimensional Euclidean space \( \E^d\)
Min_sphere_of_points_d_traits_2 | The class `Min_sphere_of_points_d_traits_2<K,FT,UseSqrt,Algorithm>` is a model for concept `MinSphereOfSpheresTraits`
Min_sphere_of_points_d_traits_3 | The class `Min_sphere_of_points_d_traits_3<K,FT,UseSqrt,Algorithm>` is a model for concept `MinSphereOfSpheresTraits`
Min_sphere_of_points_d_traits_d | The class `Min_sphere_of_points_d_traits_d<K,FT,Dim,UseSqrt,Algorithm>` is a model for concept `MinSphereOfSpheresTraits`
Min_sphere_of_spheres_d | An object of the class `Min_sphere_of_spheres_d` is a data structure that represents the unique sphere of smallest volume enclosing a finite set of spheres in \( d\)-dimensional Euclidean space \( \E^d\)
Min_sphere_of_spheres_d_traits_2 | The class `Min_sphere_of_spheres_d_traits_2<K,FT,UseSqrt,Algorithm>` is a model for concept `MinSphereOfSpheresTraits`
Min_sphere_of_spheres_d_traits_3 | The class `Min_sphere_of_spheres_d_traits_3<K,FT,UseSqrt,Algorithm>` is a model for concept `MinSphereOfSpheresTraits`
Min_sphere_of_spheres_d_traits_d | The class `Min_sphere_of_spheres_d_traits_d<K,FT,Dim,UseSqrt,Algorithm>` is a model for concept `MinSphereOfSpheresTraits`
Rectangular_p_center_default_traits_2 | The class `Rectangular_p_center_default_traits_2` defines types and operations needed to compute rectilinear \( p\)-centers of a planar point set using the function `rectangular_p_center_2()`
ApproximateMinEllipsoid_d_Traits_d | This concept defines the requirements for traits classes of `CGAL::Approximate_min_ellipsoid_d<Traits>`
Circle | An object of the class `Circle` is a circle in two-dimensional Euclidean plane \( \E^2\). Its boundary splits the plane into a bounded and an unbounded side. By definition, an empty `Circle` has no boundary and no bounded side, i.e. its unbounded side equals the whole plane \( \E^2\). A `Circle` containing exactly one point \( p\) has no bounded side, its boundary is \( \{p\}\), and its unbounded side equals \( \E^2 \setminus \{p\}\)
Ellipse | An object `ellipse` of the class `Ellipse` is an ellipse in two-dimensional Euclidean plane \( \E^2\). Its boundary splits the plane into a bounded and an unbounded side. By definition, an empty `ellipse` has no boundary and no bounded side, i.e. its unbounded side equals the whole plane \( \E^2\)
MinCircle2Traits | This concept defines the requirements for traits classes of `CGAL::Min_circle_2<Traits>`
MinEllipse2Traits | This concept defines the requirements for traits classes of `CGAL::Min_ellipse_2<Traits>`
MinQuadrilateralTraits_2 | The concept `MinQuadrilateralTraits_2` defines types and operations needed to compute minimum enclosing quadrilaterals of a planar point set using the functions `min_rectangle_2`, `min_parallelogram_2` and `min_strip_2`
MinSphereAnnulusDTraits | This concept defines the requirements for traits classes of \( d\)-dimensional min sphere and min annulus algorithms
MinSphereOfSpheresTraits | A model of concept `MinSphereOfSpheresTraits` must provide the following constants, types, predicates and operations
RectangularPCenterTraits_2 | The concept `RectangularPCenterTraits_2` defines types and operations needed to compute rectilinear \( p\)-centers of a planar point set using the function `CGAL::rectangular_p_center_2`