\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.1 - 2D and 3D Linear Geometry Kernel
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Functions
CGAL::circumcenter()
Global Kernel Functions

Functions

template<typename Kernel >
CGAL::Point_2< Kernel > CGAL::circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q)
 compute the center of the smallest circle passing through the points p and q. More...
 
template<typename Kernel >
CGAL::Point_2< Kernel > CGAL::circumcenter (const CGAL::Point_2< Kernel > &p, const CGAL::Point_2< Kernel > &q, const CGAL::Point_2< Kernel > &r)
 compute the center of the circle passing through the points p, q, and r. More...
 
template<typename Kernel >
CGAL::Point_2< Kernel > CGAL::circumcenter (const CGAL::Triangle_2< Kernel > &t)
 compute the center of the circle passing through the vertices of t. More...
 
template<typename Kernel >
CGAL::Point_3< Kernel > CGAL::circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q)
 compute the center of the smallest sphere passing through the points p and q. More...
 
template<typename Kernel >
CGAL::Point_3< Kernel > CGAL::circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r)
 compute the center of the circle passing through the points p, q, and r. More...
 
template<typename Kernel >
CGAL::Point_3< Kernel > CGAL::circumcenter (const CGAL::Triangle_3< Kernel > &t)
 compute the center of the circle passing through the vertices of t. More...
 
template<typename Kernel >
CGAL::Point_3< Kernel > CGAL::circumcenter (const CGAL::Point_3< Kernel > &p, const CGAL::Point_3< Kernel > &q, const CGAL::Point_3< Kernel > &r, const CGAL::Point_3< Kernel > &s)
 compute the center of the sphere passing through the points p, q, r, and s. More...
 
template<typename Kernel >
CGAL::Point_3< Kernel > CGAL::circumcenter (const CGAL::Tetrahedron_3< Kernel > &t)
 compute the center of the sphere passing through the vertices of t. More...
 

Function Documentation

template<typename Kernel >
CGAL::Point_2<Kernel> CGAL::circumcenter ( const CGAL::Point_2< Kernel > &  p,
const CGAL::Point_2< Kernel > &  q 
)

compute the center of the smallest circle passing through the points p and q.

Note: this is the same as CGAL::midpoint(p, q) but is provided for homogeneity.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_2<Kernel> CGAL::circumcenter ( const CGAL::Point_2< Kernel > &  p,
const CGAL::Point_2< Kernel > &  q,
const CGAL::Point_2< Kernel > &  r 
)

compute the center of the circle passing through the points p, q, and r.

Precondition
p, q, and r are not collinear.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_2<Kernel> CGAL::circumcenter ( const CGAL::Triangle_2< Kernel > &  t)

compute the center of the circle passing through the vertices of t.

Precondition
t is not degenerate.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_3<Kernel> CGAL::circumcenter ( const CGAL::Point_3< Kernel > &  p,
const CGAL::Point_3< Kernel > &  q 
)

compute the center of the smallest sphere passing through the points p and q.

Note: this is the same as CGAL::midpoint(p, q) but is provided for homogeneity.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_3<Kernel> CGAL::circumcenter ( const CGAL::Point_3< Kernel > &  p,
const CGAL::Point_3< Kernel > &  q,
const CGAL::Point_3< Kernel > &  r 
)

compute the center of the circle passing through the points p, q, and r.

Precondition
p, q, and r are not collinear.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_3<Kernel> CGAL::circumcenter ( const CGAL::Triangle_3< Kernel > &  t)

compute the center of the circle passing through the vertices of t.

Precondition
t is not degenerate.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_3<Kernel> CGAL::circumcenter ( const CGAL::Point_3< Kernel > &  p,
const CGAL::Point_3< Kernel > &  q,
const CGAL::Point_3< Kernel > &  r,
const CGAL::Point_3< Kernel > &  s 
)

compute the center of the sphere passing through the points p, q, r, and s.

Precondition
p, q, r, and s are not coplanar.

#include <CGAL/Kernel/global_functions.h>

template<typename Kernel >
CGAL::Point_3<Kernel> CGAL::circumcenter ( const CGAL::Tetrahedron_3< Kernel > &  t)

compute the center of the sphere passing through the vertices of t.

Precondition
t is not degenerate.

#include <CGAL/Kernel/global_functions.h>