conic transforms More...

#include <vsr_conic.h>

Static Public Member Functions
template<class A >
static GAPnt< A >	Transform (const GAVec< A > &vec, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a vsr::cga::Vec. More...

template<class A >
static GAPnt< A >	Transform (const GAPnt< A > &p, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a vsr::cga::Point. More...

template<class A >
static GAPnt< A >	ITransform (const GAPnt< A > &p, const GAVec< A > &v, VSR_PRECISION alpha)
	Inverse Transform of a vsr::cga::Point. More...

template<class A >
static GALin< A >	Transform (const GALin< A > &line, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a vsr::cga::Point. More...

template<class A >
static GALin< A >	ITransform (const GALin< A > &line, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a vsr::cga::Point. More...

template<class A >
static GADll< A >	Transform (const GADll< A > &line, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a dual line in direction v with eccentricity alpha.

template<class A >
static GADll< A >	ITransform (const GADll< A > &line, const GAVec< A > &v, VSR_PRECISION alpha)
	Inverse Transform a dual line in direction v with eccentricity alpha.

template<class A >
static GAPln< A >	Transform (const GAPln< A > &plane, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a plane in direction v with eccentricity alpha.

template<class A >
static GAPln< A >	ITransform (const GAPln< A > &plane, const GAVec< A > &v, VSR_PRECISION alpha)
	Inverse Transform a plane in direction v with eccentricity alpha.

template<class A >
static GADlp< A >	Transform (const GADlp< A > &plane, const GAVec< A > &v, VSR_PRECISION alpha)
	Transform a dual plane in direction v with eccentricity alpha.

template<class A >
static GADlp< A >	ITransform (const GADlp< A > &plane, const GAVec< A > &v, VSR_PRECISION alpha)
	Inverse Transform a dual plane in direction v with eccentricity alpha.

Detailed Description

conic transforms

conic transforms as described in Applications of Conformal Geometric Algebra in Computer Vision and Graphics, by wareham, cameron and j.lasenby see also Recent Applications of Conformal Geometric Algebra by a. lasenby

Member Function Documentation

template<class A >

static GAPnt<A> vsr::Conic::ITransform	(	const GAPnt< A > &	p,
		const GAVec< A > &	v,
		VSR_PRECISION	alpha
	)

inlinestatic

Inverse Transform of a vsr::cga::Point.

Parameters

veca	vsr::cga::Vec position to transform
vecb	vsr::cga::Vec direction
alpha	VSR_PRECISION eccentricity

Returns: a vsr::cga::Point pre-image

template<class A >

static GALin<A> vsr::Conic::ITransform	(	const GALin< A > &	line,
		const GAVec< A > &	v,
		VSR_PRECISION	alpha
	)

inlinestatic

Transform a vsr::cga::Point.

Parameters

line	vsr::cga::Line to transform
vecb	vsr::cga::Vec direction
alpha	VSR_PRECISION eccentricity

Returns: a vsr::cga::Circle pre-image

template<class A >

static GAPnt<A> vsr::Conic::Transform	(	const GAVec< A > &	vec,
		const GAVec< A > &	v,
		VSR_PRECISION	alpha
	)

inlinestatic

Transform a vsr::cga::Vec.

Parameters

veca	vsr::cga::Vec position to transform
vecb	vsr::cga::Vec direction
alpha	VSR_PRECISION eccentricity

Returns: transformed vsr::cga::Point

template<class A >

static GAPnt<A> vsr::Conic::Transform	(	const GAPnt< A > &	p,
		const GAVec< A > &	v,
		VSR_PRECISION	alpha
	)

inlinestatic

Transform a vsr::cga::Point.

Parameters

veca	vsr::cga::Vec position to transform
vecb	vsr::cga::Vec direction
alpha	VSR_PRECISION eccentricity

Returns: a vsr::cga::Point image

template<class A >

static GALin<A> vsr::Conic::Transform	(	const GALin< A > &	line,
		const GAVec< A > &	v,
		VSR_PRECISION	alpha
	)

inlinestatic

Transform a vsr::cga::Point.

Parameters

line	vsr::cga::Line to transform
vecb	vsr::cga::Vec direction
alpha	VSR_PRECISION eccentricity

Returns: a vsr::cga::Circle image

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

/Users/wolftype/code/versor/vsr/form/vsr_conic.h

Static Public Member Functions

Detailed Description

Member Function Documentation