Definition

Concept describing the set of types required by the class CGAL::Shape_detection_3::Efficient_RANSAC and all shape classes.

To avoid copying potentially large input data, the shape detection class CGAL::Shape_detection_3::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_3::Efficient_RANSAC_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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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 vbe of any value. Only required if you want to detect cylinders.

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.

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.

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.

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.

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.

Definition

Types

Access to Function Objects

Member Typedef Documentation