EfficientRANSACTraits Concept Reference

Definition

A concept that describes the set of types required by the CGAL::Shape_detection::Efficient_RANSAC and all RANSAC shape classes.

To avoid copying potentially large input data, the shape detection class CGAL::Shape_detection::Efficient_RANSAC will work on the input data directly and no internal copy will be made. For this reason, the input data has to be provided in form of a random access iterator. Point and normal property maps have to be provided to extract the points and the normals from the input.

Has Models:

• CGAL::Shape_detection::Efficient_RANSAC_traits,
• CGAL::Shape_detection::deprecated::Shape_detection_traits

Types
typedef unspecified_type	Point_3
	The point type.
typedef unspecified_type	Vector_3
	The vector type.
typedef unspecified_type	Sphere_3
	The sphere type, only required if you want to detect spheres or tori.
typedef unspecified_type	Line_3
	The line type, only required if you want to detect cylinders.
typedef unspecified_type	Plane_3
	The plane type, only required if you want to detect planes.
typedef unspecified_type	Point_2
	The 2D point type, only required if you want to detect tori.
typedef unspecified_type	Circle_2
	The circle type, only required if you want to detect tori.
typedef unspecified_type	Vector_3
	The 2D vector type, only required if you want to detect tori.
typedef unspecified_type	FT
	The number type of the Cartesian coordinates of types Point_3.
typedef unspecified_type	Input_range
	A model of the concept Range with random access iterators, providing input points and normals through the two property maps Point_map and Normal_map. More...
typedef unspecified_type	Point_map
	A model of ReadablePropertyMap with std::iterator_traits<Input_range::iterator>::value_type as key type and Point_3 as value type. More...
typedef unspecified_type	Normal_map
	A model of ReadablePropertyMap with std::iterator_traits<Input_range::iterator>::value_type as key type and Vector_3 as value type. More...
typedef unspecified_type	Search_traits
	A model of SearchTraits where SearchTraits::point_d is Point_3, SearchTraits::Dimension is CGAL::Dimension_tag<3>, and SearchTraits::FT is FT
typedef unspecified_type	Construct_point_3
	Function object type that provides Point_3 operator()(Origin p) returning the point with 0, 0, 0 as Cartesian coordinates and Point_3 operator()(FT x, FT y, FT z) returning the point with x, y and z as Cartesian coordinates.
typedef unspecified_type	Construct_vector_3
	Function object type that provides Vector_3 operator()(Point_3 p1, Point_3 p2) and Vector_3 operator()(Origin p1, Point_3 p2) returning the vector p1p2, Vector_3 operator()(NULL_VECTOR) returning the null vector, and Vector_3 operator()(Line_3 l) returning a vector having the same direction as l (this last one is only required if you want to detect cylinders).
typedef unspecified_type	Construct_sphere_3
	Function object type that provides Sphere_3 operator()(Point_3 c, FT r) returning the sphere of center p and radius r. More...
typedef unspecified_type	Construct_line_3
	Function object type that provides Line_3 operator()(Point_3 p, Vector_3 d) returning the line going through p in the direction of d. More...
typedef unspecified_type	Construct_point_on_3
	Function object type that provides Point_3 operator()(Line_3 l, int i) returning an arbitrary point on l. More...
typedef unspecified_type	Construct_point_2
	Function object type that provides Point_2 operator()(FT x, FT y) returning the 2D point with x and y as Cartesian coordinates. More...
typedef unspecified_type	Construct_vector_2
	Function object type that provides Vector_2 operator()(Point_2 p1, Point_2 p2) returning the vector p1p2, Vector_2 operator()(NULL_VECTOR) returning the null vector. More...
typedef unspecified_type	Construct_circle_2
	Function object type that provides Circle_2 operator()(Point_2 p1, Point_2 p2, Point_2 p3) returning the circle going through p1, p2 and p3. More...
typedef unspecified_type	Compute_x_3
	Function object type that provides FT operator()(Point_3 p) and FT operator()(Vector_3 v) 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) 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) returning the z coordinate of a point and a vector respectively.
typedef unspecified_type	Compute_x_2
	Function object type that provides FT operator()(Point_2 p) and FT operator()(Vector_2 v) returning the x coordinate of a point and a vector respectively. More...
typedef unspecified_type	Compute_y_2
	Function object type that provides FT operator()(Point_2 p) and FT operator()(Vector_2 v) returning the y coordinate of a point and a vector respectively. More...
typedef unspecified_type	Compute_squared_length_3
	Function object type that provides FT operator()(Vector_3 v) returning the squared length of v.
typedef unspecified_type	Compute_squared_length_2
	Function object type that provides FT operator()(Vector_2 v) returning the squared length of v. More...
typedef unspecified_type	Construct_scaled_vector_3
	Function object type that provides Vector_3 operator()(Vector_3 v, FT t) returning the vector t * v.
typedef unspecified_type	Construct_sum_of_vectors_3
	Function object type that provides Vector_3 operator()(Vector_3 v1, Vector_3 v2) returning the v1+v2.
typedef unspecified_type	Construct_translated_point_3
	Function object type that provides: Point_3 operator()(Point_3 p, Vector_3 v) returning the point obtained by translating p by the vector v.
typedef unspecified_type	Compute_scalar_product_3
	Function object type that provides FT operator()(Vector_3 v1, Vector_3 v2) returning the scalar product of v1 and v2.
typedef unspecified_type	Construct_cross_product_vector_3
	Function object type that provides Vector_3 operator()(Vector_3 v1, Vector_3 v2) returning the cross-product vector of v1 and v2.
typedef unspecified_type	Construct_center_3
	Function object type that provides Point_3 operator()(Sphere_3 s) returning the center of the sphere s. More...
typedef unspecified_type	Construct_center_2
	Function object type that provides Point_2 operator()(Circle_2 c) returning the center of the circle c. More...
typedef unspecified_type	Compute_squared_radius_3
	Function object type that provides FT operator()(Sphere_3 s) returning the squared radius of the sphere s. More...
typedef unspecified_type	Compute_squared_radius_2
	Function object type that provides FT operator()(Circle_2 c) returning the squared radius of the circle c. More...
typedef unspecified_type	Collinear_2
	Function object type that provides bool operator(Point_2 p, Point_2 q, Point_2 r) returning true if the points p, q, and r are collinear and false otherwise. More...

Access to Function Objects
Construct_point_3	construct_point_3_object ()
Construct_vector_3	construct_vector_3_object ()
Construct_sphere_3	construct_sphere_3_object ()
	Only required if you want to detect spheres or tori.
Construct_line_3	construct_line_3_object ()
	Only required if you want to detect cylinders.
Construct_point_on_3	construct_point_on_3_object ()
	Only required if you want to detect cylinders.
Construct_point_2	construct_point_2_object ()
	Only required if you want to detect tori.
Construct_vector_2	construct_vector_2_object ()
	Only required if you want to detect tori.
Construct_circle_2	construct_circle_2_object ()
	Only required if you want to detect tori.
Compute_x_3	compute_x_3_object ()
Compute_y_3	compute_y_3_object ()
Compute_z_3	compute_z_3_object ()
Compute_x_2	compute_x_2_object ()
	Only required if you want to detect tori.
Compute_y_2	compute_y_2_object ()
	Only required if you want to detect tori.
Compute_squared_length_3	compute_squared_length_3_object ()
Compute_squared_length_2	compute_squared_length_2_object ()
	Only required if you want to detect tori.
Construct_scaled_vector_3	construct_scaled_vector_3_object ()
Construct_sum_of_vectors_3	construct_sum_of_vectors_3_object ()
Compute_scalar_product_3	compute_scalar_product_3_object ()
Construct_cross_product_vector_3	construct_cross_product_vector_3_object ()
Construct_translated_point_3	construct_translated_point_3_object ()
Construct_center_3	construct_center_3_object ()
	Only required if you want to detect spheres.
Construct_center_2	construct_center_2_object ()
	Only required if you want to detect tori.
Compute_squared_radius_3	compute_squared_radius_3_object ()
	Only required if you want to detect spheres or tori.
Compute_squared_radius_2	compute_squared_radius_2_object ()
	Only required if you want to detect tori.
Collinear_2	collinear_2_object ()
	Only required if you want to detect tori.

Member Typedef Documentation

Collinear_2

typedef unspecified_type EfficientRANSACTraits::Collinear_2

Function object type that provides bool operator(Point_2 p, Point_2 q, Point_2 r) returning true if the points p, q, and r are collinear and false otherwise.

Only required if you want to detect tori.

Compute_squared_length_2

typedef unspecified_type EfficientRANSACTraits::Compute_squared_length_2

Function object type that provides FT operator()(Vector_2 v) returning the squared length of v.

Only required if you want to detect tori.

Compute_squared_radius_2

typedef unspecified_type EfficientRANSACTraits::Compute_squared_radius_2

Function object type that provides FT operator()(Circle_2 c) returning the squared radius of the circle c.

Only required if you want to detect tori.

Compute_squared_radius_3

typedef unspecified_type EfficientRANSACTraits::Compute_squared_radius_3

Function object type that provides FT operator()(Sphere_3 s) returning the squared radius of the sphere s.

Only required if you want to detect spheres or tori.

Compute_x_2

typedef unspecified_type EfficientRANSACTraits::Compute_x_2

Function object type that provides FT operator()(Point_2 p) and FT operator()(Vector_2 v) returning the x coordinate of a point and a vector respectively.

Only required if you want to detect tori.

Compute_y_2

typedef unspecified_type EfficientRANSACTraits::Compute_y_2

Function object type that provides FT operator()(Point_2 p) and FT operator()(Vector_2 v) returning the y coordinate of a point and a vector respectively.

Only required if you want to detect tori.

Construct_center_2

typedef unspecified_type EfficientRANSACTraits::Construct_center_2

Function object type that provides Point_2 operator()(Circle_2 c) returning the center of the circle c.

Only required if you want to detect tori.

Construct_center_3

typedef unspecified_type EfficientRANSACTraits::Construct_center_3

Function object type that provides Point_3 operator()(Sphere_3 s) returning the center of the sphere s.

Only required if you want to detect spheres or tori.

Construct_circle_2

typedef unspecified_type EfficientRANSACTraits::Construct_circle_2

Function object type that provides Circle_2 operator()(Point_2 p1, Point_2 p2, Point_2 p3) returning the circle going through p1, p2 and p3.

Only required if you want to detect tori.

Construct_line_3

typedef unspecified_type EfficientRANSACTraits::Construct_line_3

Function object type that provides Line_3 operator()(Point_3 p, Vector_3 d) returning the line going through p in the direction of d.

Only required if you want to detect cylinders.

Construct_point_2

typedef unspecified_type EfficientRANSACTraits::Construct_point_2

Function object type that provides Point_2 operator()(FT x, FT y) returning the 2D point with x and y as Cartesian coordinates.

Only required if you want to detect tori.

Construct_point_on_3

typedef unspecified_type EfficientRANSACTraits::Construct_point_on_3

Function object type that provides Point_3 operator()(Line_3 l, int i) returning an arbitrary point on l.

i is not used and can be of any value. Only required if you want to detect cylinders.

Construct_sphere_3

typedef unspecified_type EfficientRANSACTraits::Construct_sphere_3

Function object type that provides Sphere_3 operator()(Point_3 c, FT r) returning the sphere of center p and radius r.

Only required if you want to detect spheres or tori.

Construct_vector_2

typedef unspecified_type EfficientRANSACTraits::Construct_vector_2

Function object type that provides Vector_2 operator()(Point_2 p1, Point_2 p2) returning the vector p1p2, Vector_2 operator()(NULL_VECTOR) returning the null vector.

Only required if you want to detect tori.

Input_range

typedef unspecified_type EfficientRANSACTraits::Input_range

A model of the concept Range with random access iterators, providing input points and normals through the two property maps Point_map and Normal_map.

Normal_map

typedef unspecified_type EfficientRANSACTraits::Normal_map

A model of ReadablePropertyMap with std::iterator_traits<Input_range::iterator>::value_type as key type and Vector_3 as value type.

Point_map

typedef unspecified_type EfficientRANSACTraits::Point_map

A model of ReadablePropertyMap with std::iterator_traits<Input_range::iterator>::value_type as key type and Point_3 as value type.