Kernel::ConstructCircumcenter_3 Concept Reference

Definition

Refines

AdaptableQuaternaryFunction

See also

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.
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.