\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.14.2 - The Heat Method
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HeatMethodTraits_3 Concept Reference
Heat Method Reference » Concepts

Definition

The concept HeatMethodTraits_3 describes the types, predicates, and constructions required by the traits class parameter of CGAL::Heat_method_3::Surface_mesh_geodesic_distances_3.

Has Models:
All the CGAL kernels

Types

typedef unspecified_type FT
 
typedef unspecified_type Point_3
 The 3D point type. More...
 
typedef unspecified_type Vector_3
 The 3D vector type. More...
 
typedef unspecified_type Construct_vector_3
 Functor with operator: Vector_3 operator()(const Point_3& from, const Point_3& to) const, which constructs the vector from to - from .
 
typedef unspecified_type Construct_sum_of_vectors_3
 Functor with operator: Vector_3 operator()(const Vector_3& v, const Vector_3& w) const, which constructs the vector v + w.
 
typedef unspecified_type Construct_scaled_vector_3
 Functor with operator: Vector_3 operator()(const Vector_3& v, double d) const, which constructs the vector d * v.
 
typedef unspecified_type Construct_cross_product_vector_3
 Functor with operator: Vector_3 operator()(const Vector_3& v, const Vector_3& w) const, which constructs the cross product of v and w.
 
typedef unspecified_type Compute_scalar_product_3
 Functor with operator: FT operator()(const Vector_3& v, const Vector_3& w) const, which constructs the scalar product ofvandw`.
 
typedef unspecified_type Compute_squared_distance_3
 Functor with operator: FT operator()(const Point_3& p, const Point_3& q) const which computes the squared distance between p and q.
 

Operations

For each of the above function object types, Func_obj_type, a function must exist with the name func_obj_type_object that creates an instance of the function or predicate object type.

For example:

Construct_vector_3 construct_vector_3_object ()
 

Member Typedef Documentation

◆ Point_3

typedef unspecified_type HeatMethodTraits_3::Point_3

The 3D point type.

It must be CopyConstructible and DefaultConstructible, and have a constructor with three parameters of a type constructibe from double.

◆ Vector_3

typedef unspecified_type HeatMethodTraits_3::Vector_3

The 3D vector type.

It must be CopyConstructible and DefaultConstructible, and have a constructor with three parameters of a type constructibe from double.