CGAL::Barycentric_coordinates::Triangle_coordinates_2< Traits > Class Template Reference

#include <CGAL/Barycentric_coordinates_2/triangle_coordinates_2.h>

Definition

template<class Traits>
class CGAL::Barycentric_coordinates::Triangle_coordinates_2< Traits >

The class Triangle_coordinates_2 implements barycentric coordinates ( [1], [2] ) with respect to an arbitrary non-degenerate triangle in the plane.

This class is parameterized by a traits class Traits.

Deprecated:

This part of the package is deprecated since the version 5.4 of CGAL.

Template Parameters

Traits

must be a model of the concept BarycentricTraits_2.

Related Functions
(Note that these are not member functions.)
template<class Traits >
std::array< typename Traits::FT, 3 >	compute_triangle_coordinates_2 (const typename Traits::Point_2 &first_vertex, const typename Traits::Point_2 &second_vertex, const typename Traits::Point_2 &third_vertex, const typename Traits::Point_2 &query_point, const Traits &barycentric_traits=Traits())
	This is a global function that takes three vertices of a triangle and computes triangle coordinates at a given query point with respect to these vertices.

Types
typedef Traits::FT	FT
	Number type.
typedef Traits::Point_2	Point_2
	Point type.
typedef unspecified_type	Vertex_range
	Range of vertices in a triangle.

Creation
	Triangle_coordinates_2 (const Point_2 &first_vertex, const Point_2 &second_vertex, const Point_2 &third_vertex, const Traits &b_traits=Traits())
	Creates the class Triangle_coordinates_2 that implements triangle coordinates with respect to an arbitrary non-degenerate triangle in the plane.

Computation
template<class OutputIterator >
std::optional< OutputIterator >	operator() (const Point_2 &query_point, OutputIterator output)
	Computes triangle barycentric coordinates for a chosen query point with respect to all three vertices of the triangle.

Endpoint Accessors
const Vertex_range &	vertices () const
	Returns all the vertices of the triangle.
const Point_2 &	first_vertex () const
	Returns the first vertex of the triangle.
const Point_2 &	second_vertex () const
	Returns the second vertex of the triangle.
const Point_2 &	third_vertex () const
	Returns the third vertex of the triangle.

Member Typedef Documentation

Vertex_range

template<class Traits >

typedef unspecified_type CGAL::Barycentric_coordinates::Triangle_coordinates_2< Traits >::Vertex_range

Range of vertices in a triangle.

This type is a model of the concept Range. Its iterator type is RandomAccessIterator, and its value type is Traits::Point_2.

Constructor & Destructor Documentation

Triangle_coordinates_2()

template<class Traits >

CGAL::Barycentric_coordinates::Triangle_coordinates_2< Traits >::Triangle_coordinates_2	(	const Point_2 &	first_vertex,
		const Point_2 &	second_vertex,
		const Point_2 &	third_vertex,
		const Traits &	b_traits = Traits()
	)

Creates the class Triangle_coordinates_2 that implements triangle coordinates with respect to an arbitrary non-degenerate triangle in the plane.

The triangle is given by its three vertices.

Precondition

Triangle is not degenerate.

Member Function Documentation

operator()()

template<class Traits >

template<class OutputIterator >

std::optional< OutputIterator > CGAL::Barycentric_coordinates::Triangle_coordinates_2< Traits >::operator()	(	const Point_2 &	query_point,
		OutputIterator	output
	)

Computes triangle barycentric coordinates for a chosen query point with respect to all three vertices of the triangle.

Computed coordinates are stored in the output iterator output.

Friends And Related Function Documentation

compute_triangle_coordinates_2()

template<class Traits >

std::array< typename Traits::FT, 3 > compute_triangle_coordinates_2 ( const typename Traits::Point_2 &  first_vertex, const typename Traits::Point_2 &  second_vertex, const typename Traits::Point_2 &  third_vertex, const typename Traits::Point_2 &  query_point, const Traits &  barycentric_traits = Traits()  )

related

This is a global function that takes three vertices of a triangle and computes triangle coordinates at a given query point with respect to these vertices.

Deprecated:

This part of the package is deprecated since the version 5.4 of CGAL.

Template Parameters

Traits

must be a model of the concept BarycentricTraits_2.