 CGAL 4.12.1 - 2D and Surface Function Interpolation
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>

GradientFittingTraits
CGAL::sibson_c1_interpolation()
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 point type on which the function is defined and interpolated.

typedef unspecified_type Vector_d
The corresponding vector type.

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_vector_d_object ()

Construct_scaled_vector_d construct_scaled_vector_d_object ()

Compute_squared_distance_d compute_squared_distance_d_object ()

## ◆ Compute_squared_distance_d

Constructor object for FT.

Provides the operator:

FT operator() (Point_d a, Point_d b) returning the squared distance between a and b.

## ◆ 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

A constructor object for Vector_d.

Provides :

Vector_d operator() (Point_d a, Point_d b) which produces the vector b - a and

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