CGAL 6.0.1 - 2D and 3D Linear Geometry Kernel
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Kernel::ConstructCircumcenter_3 Concept Reference

Definition

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.
 
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.
 
Kernel::Point_3 operator() (const Kernel::Tetrahedron_3 &t)
 compute the center of the sphere passing through the vertices of t.
 
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.
 
Kernel::Point_3 operator() (const Kernel::Triangle_3 &t)
 compute the center of the circle passing through the vertices of t.
 

Member Function Documentation

◆ 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 
)

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

Precondition
p, q and r are not collinear.

◆ operator()() [3/5]

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()() [4/5]

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()() [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.