\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - 2D and Surface Function Interpolation
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InterpolationTraits Concept Reference
2D and Surface Function Interpolation Reference » Concepts

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. More...
 
typedef unspecified_type Construct_vector_d
 A constructor object for Vector_d. More...
 
typedef unspecified_type Construct_scaled_vector_d
 Constructor object for Vector_d. More...
 
typedef unspecified_type Compute_squared_distance_d
 Constructor object for FT. More...
 
 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.