mpblocks::brown79::Inversion< Traits > Class Template Reference

Represents the inversion operator described in Brown. More...

#include <mpblocks/brown79/inversion.h>

Public Types
typedef Traits::Point	Point
typedef Traits::Scalar	Scalar

Public Member Functions
const Point &	center () const
	return the center of this inversion map More...
void	init (const Point &center, Scalar radius=1.0)
	alter the inversion map to have a new center and radius More...
	Inversion ()
	create an uninitialized inversion More...
	Inversion (const Point &center, Scalar radius=1.0)
	create a new inversion map with specified center and radius More...
Point	invert (const Point &p)
	invert a point More...
Point	operator() (const Point &p)
	invert a point More...
Scalar	radius () const
	return the radius of this inversion map More...

Private Attributes
Point	m_center
	the center of inversion More...
Scalar	m_radius
	the radius of inversion More...

Detailed Description

template<class Traits>
class mpblocks::brown79::Inversion< Traits >

Represents the inversion operator described in Brown.

An inversion has both a center and a radius. The inversion operator is self involute in the sense if the double image of the inversion is the original object.

The inverse x' of a point x is found by (x' - c) = r / |x-c|^2 (x-c). i.e. it lies on the ray from c->x and the distance from c is r / m where m is the distance from c to x, r is the radius of the inversion, and c is the center of inversion

Definition at line 44 of file inversion.h.

Member Typedef Documentation

template<class Traits>

typedef Traits::Point mpblocks::brown79::Inversion< Traits >::Point

Definition at line 47 of file inversion.h.

template<class Traits>

typedef Traits::Scalar mpblocks::brown79::Inversion< Traits >::Scalar

Definition at line 46 of file inversion.h.

Constructor & Destructor Documentation

template<class Traits >

mpblocks::brown79::Inversion< Traits >::Inversion

(

)

create an uninitialized inversion

Definition at line 32 of file inversion.hpp.

template<class Traits >

mpblocks::brown79::Inversion< Traits >::Inversion	(	const Point &	center,
		Scalar	radius = 1.0
	)

create a new inversion map with specified center and radius

Definition at line 35 of file inversion.hpp.

Member Function Documentation

template<class Traits >

const Traits::Point & mpblocks::brown79::Inversion< Traits >::center

(

)

const

return the center of this inversion map

Definition at line 64 of file inversion.hpp.

template<class Traits >

void mpblocks::brown79::Inversion< Traits >::init	(	const Point &	center,
		Scalar	radius = 1.0
	)

alter the inversion map to have a new center and radius

Definition at line 40 of file inversion.hpp.

template<class Traits >

Traits::Point mpblocks::brown79::Inversion< Traits >::invert

(

const Point &

p

)

invert a point

Definition at line 46 of file inversion.hpp.

template<class Traits >

Inversion< Traits >::Point mpblocks::brown79::Inversion< Traits >::operator()

(

const Point &

p

)

invert a point

Definition at line 58 of file inversion.hpp.

template<class Traits >

Traits::Scalar mpblocks::brown79::Inversion< Traits >::radius

(

)

const

return the radius of this inversion map

Definition at line 69 of file inversion.hpp.

Member Data Documentation

template<class Traits>

Point mpblocks::brown79::Inversion< Traits >::m_center

private

the center of inversion

Definition at line 50 of file inversion.h.

template<class Traits>

Scalar mpblocks::brown79::Inversion< Traits >::m_radius

private

the radius of inversion

Definition at line 51 of file inversion.h.

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The documentation for this class was generated from the following files:

• include/mpblocks/brown79/inversion.h
• include/mpblocks/brown79/inversion.hpp