\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - Triangulated Surface Mesh Skeletonization
MeanCurvatureSkeletonizationTraits Concept Reference

Definition

Traits class concept defining the requirements of the class CGAL::Mean_curvature_flow_skeletonization.

Has Models:
Any CGAL Kernel with double as Kernel::FT

Types

typedef unspecified_type Point_3
 The point type.
 
typedef unspecified_type Vector_3
 The vector type.
 
typedef unspecified_type FT
 The number type. It must be constructible from and convertible to double.
 
typedef unspecified_type Construct_point_3
 Function object type that provides Point_3 operator()(FT x, FT y, FT z) const returning the point with x, y and z as Cartesian coordinates.
 
typedef unspecified_type Construct_vector_3
 Function object type that provides Point_3 operator()(Point_3 p1, Point_3 p2) const returning the vector p1p2, and Point_3 operator()(NULL_VECTOR) const returning the null vector.
 
typedef unspecified_type Construct_scaled_vector_3
 Function object type that provides Vector_3 operator()(Vector_3 v, FT t) const returning the vector t * v.
 
typedef unspecified_type Construct_divided_vector_3
 Function object type that provides Vector_3 operator()(Vector_3 v, FT t) const returning the vector v / t.
 
typedef unspecified_type Construct_cross_product_vector_3
 Function object type that provides Vector_3 operator()(Vector_3 v1, Vector_3 v2) const returning the cross-product vector of v1 and v2.
 
typedef unspecified_type Construct_sum_of_vectors_3
 Function object type that provides Vector_3 operator()(Vector_3 v1, Vector_3 v2) const returning the v1+v2.
 
typedef unspecified_type Construct_midpoint_3
 Function object type that provides Point_3 operator()(Point_3 p1, Point_3 p2) const returning the midpoint of p1 and p2.
 
typedef unspecified_type Compute_squared_distance_3
 Function object type that provides FT operator()(Point_3 p, Point_3 q) const returning the squared distance between p and q.
 
typedef unspecified_type Compute_squared_length_3
 Function object type that provides FT operator()(Vector_3 v) const returning the squared length of v.
 
typedef unspecified_type Compute_area_3
 Function object type that provides FT operator()(Point_3 p1,Point_3 p2,Point_3 p3) const returning the area of the triangle defined by p1, p2 and p3.
 
typedef unspecified_type Compute_scalar_product_3
 Function object type that provides FT operator()(Vector_3 v1, Vector_3 v2) const returning the scalar product of v1 and v2.
 
typedef unspecified_type Compute_x_3
 Function object type that provides FT operator()(Point_3 p) and FT operator()(Vector_3 v) const returning the x coordinate of a point and a vector respectively.
 
typedef unspecified_type Compute_y_3
 Function object type that provides FT operator()(Point_3 p) and FT operator()(Vector_3 v) const returning the y coordinate of a point and a vector respectively.
 
typedef unspecified_type Compute_z_3
 Function object type that provides FT operator()(Point_3 p) and FT operator()(Vector_3 v) const returning the z coordinate of a point and a vector respectively.
 

Access to Function Objects

Construct_point_3 construct_point_3_object ()
 Function object creator.
 
Construct_vector_3 construct_vector_3_object ()
 Function object creator.
 
Construct_scaled_vector_3 construct_scaled_vector_3_object ()
 Function object creator.
 
Construct_divided_vector_3 construct_divided_vector_3_object ()
 Function object creator.
 
Construct_cross_product_vector_3 construct_cross_product_vector_3_object ()
 Function object creator.
 
Construct_sum_of_vectors_3 construct_sum_of_vectors_3_object ()
 Function object creator.
 
Construct_midpoint_3 construct_midpoint_3_object ()
 Function object creator.
 
Compute_squared_distance_3 compute_squared_distance_3_object ()
 Function object creator.
 
Compute_squared_length_3 compute_squared_length_3_object ()
 Function object creator.
 
Compute_area_3 compute_area_3_object ()
 Function object creator.
 
Compute_scalar_product_3 compute_scalar_product_3_object ()
 Function object creator.
 
Compute_x_3 compute_x_3_object ()
 Function object creator.
 
Compute_y_3 compute_y_3_object ()
 Function object creator.
 
Compute_z_3 compute_z_3_object ()
 Function object creator.