CGAL 5.5 - 2D Generalized Barycentric Coordinates
CGAL::Barycentric_coordinates::BarycentricCoordinates_2 Concept Reference

## Definition

A concept that describes the set of methods that should be defined for all coordinate models used to parameterize the class Generalized_barycentric_coordinates_2.

Has Models:
• Wachspress_2
• Mean_value_2
• Discrete_harmonic_2
Deprecated:
This part of the package is deprecated since the version 5.4 of CGAL.

## Creation

BarycentricCoordinates_2 (const std::vector< Traits::Point_2 > &vertices, const Traits &barycentric_traits)
Creates a class that implements generalized barycentric coordinates for any query point that does not belong to the polygon's boundary. More...

## Functions

boost::optional< OutputIteratorweights (const Traits::Point_2 &query_point, OutputIterator &output)
A function that computes generalized barycentric coordinates without normalization that are called generalized barycentric weights (as fast as possible algorithm is used). More...

boost::optional< OutputIteratorcoordinates_on_bounded_side (const Traits::Point_2 &query_point, OutputIterator &output, const Type_of_algorithm type_of_algorithm)
A function that computes generalized barycentric coordinates on the bounded side of a polygon with one of two possible algorithms: one is precise and one is fast. More...

boost::optional< OutputIteratorcoordinates_on_unbounded_side (const Traits::Point_2 &query_point, OutputIterator &output, const Type_of_algorithm type_of_algorithm)
A function that computes generalized barycentric coordinates on the unbounded side of a polygon with one of two possible algorithms: one is precise and one is fast. More...

## ◆ BarycentricCoordinates_2()

 CGAL::Barycentric_coordinates::BarycentricCoordinates_2::BarycentricCoordinates_2 ( const std::vector< Traits::Point_2 > & vertices, const Traits & barycentric_traits )

Creates a class that implements generalized barycentric coordinates for any query point that does not belong to the polygon's boundary.

The polygon is given by a range of vertices of the type Traits::Point_2 stored in a container of the type std::vector.

## ◆ coordinates_on_bounded_side()

 boost::optional CGAL::Barycentric_coordinates::BarycentricCoordinates_2::coordinates_on_bounded_side ( const Traits::Point_2 & query_point, OutputIterator & output, const Type_of_algorithm type_of_algorithm )

A function that computes generalized barycentric coordinates on the bounded side of a polygon with one of two possible algorithms: one is precise and one is fast.

The algorithm type is specified by the parameter type_of_algorithm. Coordinates are computed with respect to a query point of the type Traits::Point_2 and stored in the output iterator output. The function returns a pointer to the last stored element.

## ◆ coordinates_on_unbounded_side()

 boost::optional CGAL::Barycentric_coordinates::BarycentricCoordinates_2::coordinates_on_unbounded_side ( const Traits::Point_2 & query_point, OutputIterator & output, const Type_of_algorithm type_of_algorithm )

A function that computes generalized barycentric coordinates on the unbounded side of a polygon with one of two possible algorithms: one is precise and one is fast.

The algorithm type is specified by the parameter type_of_algorithm. Coordinates are computed with respect to a query point of the type Traits::Point_2 and stored in the output iterator output. The function returns a pointer to the last stored element.

## ◆ weights()

 boost::optional CGAL::Barycentric_coordinates::BarycentricCoordinates_2::weights ( const Traits::Point_2 & query_point, OutputIterator & output )

A function that computes generalized barycentric coordinates without normalization that are called generalized barycentric weights (as fast as possible algorithm is used).

Weights are computed with respect to a query point of the type Traits::Point_2 and stored in the output iterator output. The function returns a pointer to the last stored element.