Taper Class Reference

Barr's tapering deformation. More...

#include <taper.h>

Inheritance diagram for Taper:

Public Member Functions
	Taper (const Vector &, const Vector &, const Cubic &)
	Creates a tapering operator.
	~Taper ()
	Empty.
Vector	Transform (const Vector &) const
	Transforms a point.
Vector	InverseTransform (const Vector &) const
	Inverse transform.
Box	GetBox (const Box &) const
	Compute the bounding box of the deformed (tapered) box.
Public Member Functions inherited from Axis
	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.

Protected Attributes
Cubic	c
	Cubic defining the tapering effect.
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.

Friends
std::ostream &	operator<< (std::ostream &s, const Taper &taper)
	Overloaded.

Additional Inherited Members
Static Public 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 Public Attributes inherited from Axis
static const Axis	Z
	Axes from origin, identical to Axis(Vector::Null,Vector::X) ...
Protected Member Functions inherited from Axis
double	Radial (const Vector &, Vector &, Vector &) const
	Compute the radial coordinates of a point.

Detailed Description

Barr's tapering deformation.

The tapering function is defined by a cubic.

Constructor & Destructor Documentation

Taper()

Taper::Taper ( const Vector & a, const Vector & b, const Cubic & c )

explicit

Creates a tapering operator.

Parameters

a,b	End vertices of the tapering axis.
c	Cubic function representing the tapering factor along the axis.

Member Function Documentation

GetBox()

Box Taper::GetBox

(

const Box &

box

)

const

Compute the bounding box of the deformed (tapered) box.

Parameters

box

The box.

InverseTransform()

Vector Taper::InverseTransform

(

const Vector &

p

)

const

Inverse transform.

Parameters

p

Point.

Transform()

Vector Taper::Transform

(

const Vector &

p

)

const

Transforms a point.

Parameters

p

Point.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const Taper & taper )

friend

Overloaded.

Parameters

s	Stream.
taper	Taper.