\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.5.2 - Bounding Volumes
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CGAL::Min_ellipse_2_traits_2< K > Class Template Reference
Bounding Volumes Reference

#include <CGAL/Min_ellipse_2_traits_2.h>

Definition

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.

The template parameter K must be a model for Kernel.

Is Model Of:
MinEllipse2Traits
See Also
CGAL::Min_ellipse_2<Traits>
MinEllipse2Traits
Examples:
Min_ellipse_2/min_ellipse_2.cpp.

Types

typedef unspecified_type Point
 typedef to K::Point_2.
 
typedef unspecified_type Ellipse
 internal type.
 

Access Functions

The Ellipse type provides the following access methods not required by the concept MinEllipse2Traits.

bool is_circle ()
 tests whether the ellipse is a circle.
 
void double_coefficients (double &r, double &s, double &t, double &u, double &v, double &w)
 gives a double approximation of the ellipse's conic equation. More...
 

Creation

 Min_ellipse_2_traits_2 ()
 default constructor.
 
 Min_ellipse_2_traits_2 (const Min_ellipse_2_traits_2< K > &)
 copy constructor.
 

Member Function Documentation

template<typename K>
void CGAL::Min_ellipse_2_traits_2< K >::double_coefficients ( double &  r,
double &  s,
double &  t,
double &  u,
double &  v,
double &  w 
)

gives a double approximation of the ellipse's conic equation.

If K is a Cartesian kernel, the ellipse is the set of all points \( (x,y)\) satisfying \( rx^2+sy^2+txy+ux+vy+w=0\). In the Homogeneous case, the ellipse is the set of points \( (hx,hy,hw)\) satisfying \( r(hx)^2+s(hy)^2+t(hx)(hy)+u(hx)(hw)+v(hy)(hw)+w(hw)^2=0\).