InterpolationTraits Concept Reference

Definition

Most interpolation functions are parameterized by a traits class that defines the primitives used in the interpolation algorithms. The concept InterpolationTraits defines this common set of requirements.

Has models

CGAL::Interpolation_traits_2<K>

CGAL::Interpolation_gradient_fitting_traits_2<K>

See also

GradientFittingTraits

CGAL::sibson_c1_interpolation()

Sibson Gradient Fitting Functions

CGAL::farin_c1_interpolation()

CGAL::quadratic_interpolation()

Types
typedef unspecified_type	FT
	The number type must follow the model FieldNumberType.
typedef unspecified_type	Point_d
	The (weightless) point type.
typedef unspecified_type	Weighted_point_d
	The weighted point type.
typedef unspecified_type	Vector_d
	The corresponding vector type.
typedef unspecified_type	Construct_point_d
	A constructor object for Point_d.
typedef unspecified_type	Construct_vector_d
	A constructor object for Vector_d.
typedef unspecified_type	Construct_scaled_vector_d
	Constructor object for Vector_d.
typedef unspecified_type	Compute_squared_distance_d
	Constructor object for FT.
	InterpolationTraits ()
	default constructor.

Construction objects
The following functions that create instances of the above constructor object types must exist.
Construct_vector_d	construct_point_d_object ()
Construct_vector_d	construct_vector_d_object ()
Construct_scaled_vector_d	construct_scaled_vector_d_object ()
Compute_squared_distance_d	compute_squared_distance_d_object ()

Member Typedef Documentation

Compute_squared_distance_d

typedef unspecified_type InterpolationTraits::Compute_squared_distance_d

Constructor object for FT.

Provides the operator:

FT operator() (Point_d p, Point_d q) returning the squared distance between p and q.

Construct_point_d

typedef unspecified_type InterpolationTraits::Construct_point_d

A constructor object for Point_d.

Provides :

Point_d operator() (Point_d p) which returns the point itself.

Point_d operator() (Weighted_point_d wp) which extracts the bare point from the weighted point.

Construct_scaled_vector_d

typedef unspecified_type InterpolationTraits::Construct_scaled_vector_d

Constructor object for Vector_d.

Provides :

Vector_d operator() (Vector_d v, FT scale) which produces the vector v scaled by a factor scale.

Construct_vector_d

typedef unspecified_type InterpolationTraits::Construct_vector_d

A constructor object for Vector_d.

Provides :

Vector_d operator() (Point_d p, Point_d q) which produces the vector q - p and

Vector_d operator() (Null_vector NULL_VECTOR) which introduces the null vector.