Kernel::ConstructBarycenter_3 Concept Reference

Definition

Refines

AdaptableTernaryFunction

See also

Kernel::ConstructCentroid_3

CGAL::centroid()

CGAL::barycenter()

Operations
A model of this concept must provide:
Kernel::Point_3	operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2)
	compute the barycenter of the points p1 and p2 with corresponding weights w1 and 1-w1.
Kernel::Point_3	operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2)
	compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2. More...
Kernel::Point_3	operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3)
	compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and 1-w1-w2.
Kernel::Point_3	operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3, const Kernel::FT &w3)
	compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3. More...
Kernel::Point_3	operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3, const Kernel::FT &w3, const Kernel::Point_3 &p4)
	compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and 1-w1-w2-w3.
Kernel::Point_3	operator() (const Kernel::Point_3 &p1, const Kernel::FT &w1, const Kernel::Point_3 &p2, const Kernel::FT &w2, const Kernel::Point_3 &p3, const Kernel::FT &w3, const Kernel::Point_3 &p4, const Kernel::FT &w4)
	compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4. More...

Member Function Documentation

operator()() [1/3]

Kernel::Point_3 Kernel::ConstructBarycenter_3::operator()	(	const Kernel::Point_3 &	p1,
		const Kernel::FT &	w1,
		const Kernel::Point_3 &	p2,
		const Kernel::FT &	w2
	)

compute the barycenter of the points p1 and p2 with corresponding weights w1 and w2.

Precondition

w1+w2 != 0.

operator()() [2/3]

Kernel::Point_3 Kernel::ConstructBarycenter_3::operator()	(	const Kernel::Point_3 &	p1,
		const Kernel::FT &	w1,
		const Kernel::Point_3 &	p2,
		const Kernel::FT &	w2,
		const Kernel::Point_3 &	p3,
		const Kernel::FT &	w3
	)

compute the barycenter of the points p1, p2 and p3 with corresponding weights w1, w2 and w3.

Precondition

w1+w2+w3 != 0.

operator()() [3/3]

Kernel::Point_3 Kernel::ConstructBarycenter_3::operator()	(	const Kernel::Point_3 &	p1,
		const Kernel::FT &	w1,
		const Kernel::Point_3 &	p2,
		const Kernel::FT &	w2,
		const Kernel::Point_3 &	p3,
		const Kernel::FT &	w3,
		const Kernel::Point_3 &	p4,
		const Kernel::FT &	w4
	)

compute the barycenter of the points p1, p2, p3 and p4 with corresponding weights w1, w2, w3 and w4.

Precondition

w1+w2+w3+w4 != 0.