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CGAL 6.0 - Optimal Transportation Curve Reconstruction
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The concept OptimalTransportationReconstructionTraits_2 describes the requirements for the traits class of CGAL::Optimal_transportation_reconstruction_2.
DelaunayTriangulationTraits_2 Kernel CGAL::Exact_predicates_inexact_constructions_kernel (recommended) Types | |
| typedef unspecified_type | FT |
| A coordinate type. | |
| typedef unspecified_type | Vector_2 |
| The vector type. | |
| typedef unspecified_type | Construct_point_2 |
A function object to construct a Point_2. | |
| typedef unspecified_type | Construct_vector_2 |
A function object to construct a Vector_2. | |
| typedef unspecified_type | Construct_line_2 |
A function object to construct a Line_2. | |
| typedef unspecified_type | Construct_translated_point_2 |
Must provides: Point_2 operator()(Point_2 p, Vector_2 v) that computes the point p + v. | |
| typedef unspecified_type | Construct_scaled_vector_2 |
Must provides: Vector_2 operator()(Vector_2 v, FT c) that computes the vector c * v. | |
| typedef unspecified_type | Construct_sum_of_vectors_2 |
Must provides: Vector_2 operator()(Vector_2 v1, Vector_2 v2) that computes the vector v1 + v2. | |
| typedef unspecified_type | Construct_projected_point_2 |
Must provides: Point_2 operator()(Line_2 l, Point_2 p) that computes the projection of the point p on the line l. | |
| typedef unspecified_type | Has_on_2 |
Must provides: bool operator()(Line_2 l, Point_2 p) that returns true iff p lies on l. | |
| typedef unspecified_type | Compute_scalar_product_2 |
Must provides: FT operator()(Vector_2 v1, Vector_2 v2) that computes the scalar product between v1 and v2. | |
| typedef unspecified_type | Compute_squared_length_2 |
Must provides: FT operator()(Vector_2 v) that computes the squared length of v. | |
| typedef unspecified_type | Compute_squared_distance_2 |
Must provides: FT operator()(Point p1, Point p2) that computes the squared distance between p1 and p2. | |
Creation | |
| OptimalTransportationReconstructionTraits_2 () | |
| Default constructor. | |
| OptimalTransportationReconstructionTraits_2 (const OptimalTransportationReconstructionTraits_2 &) | |
| Copy constructor. | |
| OptimalTransportationReconstructionTraits_2 & | operator= (const OptimalTransportationReconstructionTraits_2 &) |
| Assignment operator. | |
Access to Predicate and Constructors Objects | |
| Construct_point_2 | construct_point_2_object () |
| Construct_vector_2 | construct_vector_2_object () |
| Construct_line_2 | construct_line_2_object () |
| Construct_translated_point_2 | construct_translated_point_2_object () |
| Construct_scaled_vector_2 | construct_scaled_vector_2_object () |
| Construct_sum_of_vectors_2 | construct_sum_of_vectors_2_object () |
| Construct_projected_point_2 | construct_projected_point_2_object () |
| Has_on_2 | has_on_2_object () |
| Compute_scalar_product_2 | compute_scalar_product_2_object () |
| Compute_squared_length_2 | compute_squared_length_2_object () |
| Compute_squared_distance_2 | compute_squared_distance_2_object () |
A function object to construct a Line_2.
Must provides: Line_2 operator()(Point p, Vector v), which constructs a 2D line from a point and a vector.
A function object to construct a Point_2.
Must provides: Point_2 operator()(FT x, FT y), which constructs a 2D point from its coordinates.
A function object to construct a Vector_2.
Must provides: Vector_2 operator()(FT x, FT y), which constructs a 2D vector from its coordinates, and Vector_2 operator()(Point p0, Point p1), which constructs a 2D vector from 2 points.
A coordinate type.
The type must provide a copy constructor, assignment, comparison operators, negation, multiplication, division and allow the declaration and initialization with a small integer and double constant (cf. requirements for number types). An obvious choice would be coordinate type of the point class.