CGAL 4.12.1 - 2D and 3D Linear Geometry Kernel
Kernel::ConstructCircumcenter_3 Concept Reference

## Definition

Refines:
AdaptableFunctor (with four arguments)
CGAL::circumcenter()

## Operations

A model of this concept must provide:

Kernel::Point_3 operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q)
compute the center of the smallest circle passing through the points p and q. More...

Kernel::Point_3 operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r, const Kernel::Point_3 &s)
compute the center of the sphere passing through the points p, q, r, and s. More...

Kernel::Point_3 operator() (const Kernel::Tetrahedron_3 &t)
compute the center of the sphere passing through the vertices of t. More...

Kernel::Point_3 operator() (const Kernel::Point_3 &p, const Kernel::Point_3 &q, const Kernel::Point_3 &r)
compute the center of the circle passing through the points p, q and r. More...

Kernel::Point_3 operator() (const Kernel::Triangle_3 &t)
compute the center of the circle passing through the vertices of t. More...

## ◆ operator()() [1/5]

 Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() ( const Kernel::Point_3 & p, const Kernel::Point_3 & q )

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

Note : this is the same as Kernel::ConstructMidpoint_3.

## ◆ operator()() [2/5]

 Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() ( const Kernel::Point_3 & p, const Kernel::Point_3 & q, const Kernel::Point_3 & r, const Kernel::Point_3 & 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.

## ◆ operator()() [3/5]

 Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() ( const Kernel::Tetrahedron_3 & t )

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

Precondition
t is not degenerate.

## ◆ operator()() [4/5]

 Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() ( const Kernel::Point_3 & p, const Kernel::Point_3 & q, const Kernel::Point_3 & r )

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

Precondition
p, q and r are not collinear.

## ◆ operator()() [5/5]

 Kernel::Point_3 Kernel::ConstructCircumcenter_3::operator() ( const Kernel::Triangle_3 & t )

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

Precondition
t is not degenerate.