CGAL 6.0 - 2D Generalized Barycentric Coordinates
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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.
 

Functions

std::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).
 
std::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.
 
std::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.
 

Constructor & Destructor Documentation

◆ 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.

Member Function Documentation

◆ coordinates_on_bounded_side()

std::optional< OutputIterator > 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()

std::optional< OutputIterator > 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()

std::optional< OutputIterator > 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.