ConeTube Class Reference

Cone-tubes. More...

#include <cone.h>

Inheritance diagram for ConeTube:

Public Member Functions
	ConeTube ()
	Empty.
	ConeTube (const Cone &)
	Conversion constructor.
	ConeTube (const Vector &, const Vector &, const double &, const double &=0.0)
	Creates a cone characterized by its end-vertices and radii.
	ConeTube (const double &, const double &, const double &)
	Creates a vertical cone characterized height and radii.
	~ConeTube ()
	Empty.
double	R (const Vector &) const
	Compute the distance between a point and the cone.
double	Signed (const Vector &) const
	Compute the signed distance between a point and the cone.
Vector	Normal (const Vector &) const
	Computes the vector distance between the cone and a point.
void	Rotate (const Matrix &)
	Rotates the cone.
void	Translate (const Vector &)
	Translates the cone.

Additional Inherited Members
Protected Member Functions inherited from Cone
	Cone ()
	Empty.
	Cone (const Vector &, const Vector &, const double &, const double &=0.0)
	Creates a cone characterized by its end-vertices and radii.
	Cone (const double &, const double &, const double &)
	Creates a vertical cone characterized height and radii.
	~Cone ()
	Empty.
constexpr double	Radius (int) const
	Gets either end-radius of the cone.
int	Intersect (const Ray &, double &, double &) const
	Compute the intersections between the cone and a ray.
int	Intersect (const Ray &, double &, double &, Vector &, Vector &) const
	Compute the intersections between the cone and a ray.
int	Intersect (const Ray &, double &, Vector &) const
	Compute the first positive intersection between the cone and a ray.
bool	Inside (const Vector &) const
	Check if a point is inside or outside the cone.
double	R (const Vector &) const
	Compute the distance between a point and the cone.
double	Signed (const Vector &) const
	Compute the signed distance between a point and the cone.
Vector	Normal (const Vector &) const
	Computes the vector distance between the cone and a point.
void	Rotate (const Matrix &)
	Rotates the cone.
void	Translate (const Vector &)
	Translates the cone.
void	Scale (const double &)
	Uniformly scales the cone.
double	Area () const
	Compute the total surface area of the cone.
double	Volume () const
	Compute the volume of the cone.
Vector	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the cone.
Box	GetBox () const
	Compute the axis-aligned bounding box of the cone.
Vector	Vertex (int) const
	Return one of the end vertexes of the axis.
Protected Member Functions inherited from Axis
double	Radial (const Vector &, Vector &, Vector &) const
	Compute the radial coordinates of a point.
	Axis ()
	Empty.
	Axis (const Vector &, const Vector &)
	Creates an axis given end vertices.
	~Axis ()
	Empty.
void	Rotate (const Matrix &)
	Rotates an axis.
void	Translate (const Vector &)
	Translates an axis.
void	Scale (const double &)
	Uniformly scales an axis.
void	Scale (const Vector &)
	Scales an axis.
Quadric	Equation (const Ray &) const
	Compute the polynomial equation of the Euclidean distance between a ray and the axis.
Vector	Vertex (int) const
	Return one of the end vertexes of the axis.
Vector	Point (const double &) const
	Compute a point on the axis.
Vector	GetAxis () const
	Returns the normalized axis vector.
double	Length () const
	Return the axis length.
Vector	Symmetric (const Vector &) const
	Symmetric point.
Sphere	Symmetric (const Sphere &) const
	Symmetric sphere.
Vector	Normal (const Vector &) const
	Compute the normal vector between a point and its projection onto the edge.
double	R (const Vector &) const
	Compute the squared distance to the segment.
double	R (const Axis &) const
	Compute the squared distance between two axes.
double	R (const Vector &, double &) const
	Compute the squared distance to the axis.
Matrix	GetFrame () const
	Compute an orthonormal frame attached to the axis.
Vector2	Radial (const Vector &) const
	Compute the radial coordinates of a point.
Static Protected Member Functions inherited from Cone
static Vector	RandomDirection (const Vector &, const double &, Random &=Random::R239)
	Generate a random direction.
Static Protected Member Functions inherited from Axis
static Matrix	GetFrame (const Vector &)
	Compute an orthonormal frame attached to the axis.
static Vector	BoxVector (const Vector &)
	Compute the box vector extent of a unit circle with a given axis.
Protected Attributes inherited from Cone
double	rb = 0.0
	Radius of the cone at the first and second vertexes of the axis.
double	rlength = -1.0
	Internal parameter.
double	conelength = Math::Sqrt2
	Side length of the cone.
Vector2	side = Vector2(-1.0, 1.0) / Math::Sqrt2
	Vector representing the side.
Protected Attributes inherited from Axis
Vector	b = Vector::Z
	End vertexes of the axis.
Vector	axis = Vector::Z
	Normalized axis vector.
double	length = 1.0
	Length of the axis.
Static Protected Attributes inherited from Cone
static const double	epsilon = 1.0e-4
	Epsilon value.
static const Cone	Unit
	Unit vertical cone.
Static Protected Attributes inherited from Axis
static const Axis	Z
	Axes from origin, identical to Axis(Vector::Null,Vector::X) ...

Detailed Description

Cone-tubes.

Constructor & Destructor Documentation

ConeTube() [1/3]

ConeTube::ConeTube

(

const Cone &

c

)

Conversion constructor.

Parameters

c

Cone.

ConeTube() [2/3]

ConeTube::ConeTube ( const Vector & a, const Vector & b, const double & ra, const double & rb = 0.0 )

explicit

Creates a cone characterized by its end-vertices and radii.

Parameters

a,b	End vertices of the axis.
ra,rb	Radii.

ConeTube() [3/3]

ConeTube::ConeTube ( const double & ab, const double & ra, const double & rb )

explicit

Creates a vertical cone characterized height and radii.

Parameters

ab	Height.
ra,rb	Radii.

Member Function Documentation

Normal()

Vector ConeTube::Normal

(

const Vector &

p

)

const

Computes the vector distance between the cone and a point.

Parameters

p

Point.

R()

double ConeTube::R

(

const Vector &

p

)

const

Compute the distance between a point and the cone.

Details appear in A. Barbier and E. Galin. Fast distance Computation between a Point and Cylinders, Cones, Line-swept-Spheres and Cone-Spheres. Journal of Graphics Tools. 9(2), 11-19 (2004).

Parameters

p

Point.

Rotate()

void Cone::Rotate

(

const Matrix &

r

)

Rotates the cone.

Parameters

r	Rotation matrix.

Signed()

double ConeTube::Signed

(

const Vector &

p

)

const

Compute the signed distance between a point and the cone.

Parameters

p

Point.

Translate()

void Cone::Translate

(

const Vector &

t

)

Translates the cone.

Parameters

t	Translation vector.