RevolutionQuadricTube Class Reference

Surface of revolution with a quadric curve. More...

#include <revolution.h>

Inheritance diagram for RevolutionQuadricTube:

Public Member Functions
	RevolutionQuadricTube (const Vector &, const Vector &, const Quadric &, const Quadric &)
	Creates a surface of revolution based on a quadric parametric profile curve.
	RevolutionQuadricTube (const Vector &, const Vector &, const QuadricCurve2 &)
	Creates a surface of revolution based on a quadric profile curve.
virtual	~RevolutionQuadricTube ()
	Destructor.
void	Translate (const Vector &)
	Translation.
void	Rotate (const Matrix &)
	Rotation.
void	Scale (const double &)
	Scaling.
Vector	Normal (const Vector &) const
	Compute the distance vector between a point and the surface.
double	R (const Vector &) const
	Compute the squared distance between a point and the surface of revolution.
double	Signed (const Vector &) const
	Compute the intensity at a given point.
Box	GetBox () const
	Compute the bounding box.
Cylinder	GetCylinder () const
	Compute the bounding cylinder.

Protected Attributes
Quadric	y
	Quadric profile curves.
Quadric	xy
	Constant coefficients used to speed-up queries.
double	yb
	Range of values for the y quadric profile curve.
Protected Attributes inherited from Tubular
double	ri = 1.0
	External and internal radii.
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.

Additional Inherited Members
Protected Member Functions inherited from Tubular
	Tubular ()
	Empty.
	Tubular (const Vector &, const Vector &, const double &, const double &)
	Creates a tube given vertices and radii.
	Tubular (const double &, const double &, const double &, const double &)
	Creates a vertical tube given heights and radii.
	~Tubular ()
	Empty.
double	Radius () const
	Gets the external radius.
double	InternalRadius () const
	Gets the external radius.
bool	Inside (const Vector &) const
	Check if a point is inside or outside the tube.
Vector	Normal (const Vector &) const
	Compute the normal vector to a tube.
double	R (const Vector &) const
	Compute the squared distance to a tube.
double	Signed (const Vector &) const
	Compute the signed Euclidean distance to a tube.
double	Volume () const
	Computes the volume of a tube.
double	Area () const
	Compute the surface area of a tube.
void	Translate (const Vector &)
	Translate a tube.
void	Rotate (const Matrix &)
	Rotates a tube.
void	Scale (const double &)
	Scale a tube.
Tubular	Translated (const Vector &) const
	Translate a tube.
Box	GetBox () const
	Computes the axis-aligned bounding box of a tube.
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 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.
Static Protected Attributes inherited from Tubular
static const double	epsilon = 1.0e-4
	Epsilon value for intersection tests.
Static Protected Attributes inherited from Axis
static const Axis	Z
	Axes from origin, identical to Axis(Vector::Null,Vector::X) ...

Detailed Description

Surface of revolution with a quadric curve.

Constructor & Destructor Documentation

RevolutionQuadricTube() [1/2]

RevolutionQuadricTube::RevolutionQuadricTube ( const Vector & a, const Vector & b, const Quadric & x, const Quadric & y )

explicit

Creates a surface of revolution based on a quadric parametric profile curve.

Parameters

a,b	Axis vertices.
x,y	Parametric equation of the quadric profile curve.

RevolutionQuadricTube() [2/2]

RevolutionQuadricTube::RevolutionQuadricTube ( const Vector & a, const Vector & b, const QuadricCurve2 & c )

explicit

Creates a surface of revolution based on a quadric profile curve.

Parameters

a,b	Axis vertices.
c	Quadric curve.

Member Function Documentation

Normal()

Vector RevolutionQuadricTube::Normal

(

const Vector &

p

)

const

Compute the distance vector between a point and the surface.

Parameters

p

Point.

R()

double RevolutionQuadricTube::R

(

const Vector &

p

)

const

Compute the squared distance between a point and the surface of revolution.

Parameters

p

Point.

Rotate()

void RevolutionQuadricTube::Rotate

(

const Matrix &

r

)

Rotation.

Parameters

r	Rotation matrix.

Scale()

void RevolutionQuadricTube::Scale

(

const double &

s

)

Scaling.

Parameters

s	Scaling factor.

Signed()

double RevolutionQuadricTube::Signed

(

const Vector &

p

)

const

Compute the intensity at a given point.

Parameters

p

Point.

Translate()

void RevolutionQuadricTube::Translate

(

const Vector &

t

)

Translation.

Parameters

t	Translation vector.