RevolutionQuadricVolume2 Class Reference

Symmetry axis of revolution with a quadric curve. More...

#include <revolution.h>

Inheritance diagram for RevolutionQuadricVolume2:

Public Member Functions
	RevolutionQuadricVolume2 (const Vector2 &, const Vector2 &, const QuadricCurve2 &)
	Creates a surface of revolution based on a quadric parametric profile curve.
virtual	~RevolutionQuadricVolume2 ()
	Destructor.
void	Translate (const Vector2 &)
	Translation.
void	Rotate (const Matrix2 &)
	Rotation.
void	Scale (const double &)
	Scaling.
Vector2	Normal (const Vector2 &) const
	Compute the distance vector between a point and the surface.
double	R (const Vector2 &) const
	Compute the squared distance between a point and the surface of revolution.
double	Signed (const Vector2 &) const
	Compute the intensity at a given point.
Box2	GetBox () const
	Compute the bounding box.
OrientedBox2	GetOrientedBox () 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 Axis2
Vector2	b = Vector2(1.0, 0.0)
	End vertexes of the axis.
Vector2	axis = Vector2::X
	Normalized axis vector.
double	length = 1.0
	Length of the axis.

Additional Inherited Members
Protected Member Functions inherited from Axis2
double	Radial (const Vector2 &, Vector2 &, Vector2 &) const
	Compute the radial coordinates of a point.
Vector2	Radial (const Vector2 &) const
	Compute the radial coordinates of a point.
	Axis2 ()
	Empty.
	Axis2 (const Vector2 &, const Vector2 &)
	Creates an axis given end vertices.
	~Axis2 ()
	Empty.
Vector2	Vertex (int) const
	Return one of the end vertexes of the axis.
Vector2	Point (const double &) const
	Compute a point on the axis.
Vector2	GetAxis () const
	Returns the normalized axis vector.
constexpr double	Length () const
	Return the axis length.
void	Translate (const Vector2 &)
	Translation.
void	Rotate (const Matrix2 &)
	Rotation.
void	Scale (const double &)
	Scaling.
Vector2	Symmetric (const Vector2 &) const
	Symmetric point.
Circle2	Symmetric (const Circle2 &) const
	Symmetric circle.
Box2	Symmetric (const Box2 &) const
	Symmetric box.

Detailed Description

Symmetry axis of revolution with a quadric curve.

Constructor & Destructor Documentation

RevolutionQuadricVolume2()

RevolutionQuadricVolume2::RevolutionQuadricVolume2 ( const Vector2 & a, const Vector2 & b, const QuadricCurve2 & c )

explicit

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

Parameters

a,b	Axis vertices.
c	Quadric curve.

Member Function Documentation

Normal()

Vector2 RevolutionQuadricVolume2::Normal

(

const Vector2 &

p

)

const

Compute the distance vector between a point and the surface.

Parameters

p

Point.

R()

double RevolutionQuadricVolume2::R

(

const Vector2 &

p

)

const

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

Parameters

p

Point.

Rotate()

void RevolutionQuadricVolume2::Rotate

(

const Matrix2 &

r

)

Rotation.

Parameters

r	Rotation matrix.

Scale()

void RevolutionQuadricVolume2::Scale

(

const double &

s

)

Scaling.

Parameters

s	Scaling factor.

Signed()

double RevolutionQuadricVolume2::Signed

(

const Vector2 &

p

)

const

Compute the intensity at a given point.

Parameters

p

Point.

Translate()

void RevolutionQuadricVolume2::Translate

(

const Vector2 &

t

)

Translation.

Parameters

t	Translation vector.