An HyperPlane is a space of dimension (n-1), this correspond to a Plan in dimension 3 and to a Line in dimension 2. More...

Detailed Description

template<int dimension>
class jafar::geom::HyperPlane< dimension >

An HyperPlane is a space of dimension (n-1), this correspond to a Plan in dimension 3 and to a Line in dimension 2.

Definition at line 22 of file HyperPlane.hpp.

#include <HyperPlane.hpp>

Inheritance diagram for jafar::geom::HyperPlane< dimension >:

[legend]

List of all members.

Classes
class	Driver
	HyperPlane is the base Driver for all HyperPlane::Driver. More...
class	EquationDriver
class	VectorsDriver
Public Member Functions
	HyperPlane (Driver *d)
	HyperPlane (const HyperPlane &)
virtual Atom< dimension >::Type	type () const
virtual BoundingBox< dimension >	boundingBox () const
HomogenousVecD	origin () const
HomogenousVecD	normal () const
HomogenousSymMatrixD	normalCov () const
HomogenousVecD	equation () const
HomogenousVecD	project (const HomogenousVecD &p) const
	Project "orthogonaly" a point on the HyperPlane.
HomogenousVecD	projectionVector (const HomogenousVecD &p) const
void	projectionVectorCov (const HomogenousVecD &p, const HomogenousSymMatrixD &pCov, HomogenousVecD &vec, HomogenousSymMatrixD &cov) const
void	projectionVectorCov (const Point< dimension > &p, HomogenousVecD &vec, HomogenousSymMatrixD &cov) const
Protected Types
typedef Atom< dimension > ::HomogenousVecD	HomogenousVecD
typedef Atom< dimension > ::HomogenousMatrixD	HomogenousMatrixD
typedef Atom< dimension > ::HomogenousSymMatrixD	HomogenousSymMatrixD
typedef Atom< dimension >::VecD	VecD
typedef Repere< dimension >	RepereD
typedef Point< dimension >	PointD
Protected Member Functions
void	setDriver (Driver *driver)
Protected Attributes
Driver *	m_driver

Member Function Documentation

template<int dimension>

BoundingBox< dimension > jafar::geom::HyperPlane< dimension >::boundingBox ( ) const [inline, virtual]

Returns:: the bounding box that completely include this Atom.

Implements jafar::geom::Atom< dimension >.

Reimplemented in jafar::geom::Facet< dimension >.

Definition at line 226 of file HyperPlaneImpl.hpp.

template<int dimension>

HyperPlane< dimension >::HomogenousVecD jafar::geom::HyperPlane< dimension >::equation ( ) const [inline]

Returns:: the equation of the plan (< eqn , homogenouscoord > = 0)

Definition at line 180 of file HyperPlaneImpl.hpp.

References jafar::geom::HyperPlane< dimension >::Driver::equation().

template<int dimension>

HyperPlane< dimension >::HomogenousVecD jafar::geom::HyperPlane< dimension >::normal ( ) const [inline]

Returns:: the normal of the plan (norm == 1.0)

Definition at line 170 of file HyperPlaneImpl.hpp.

References jafar::geom::HyperPlane< dimension >::Driver::normal().

Referenced by jafar::geom::OrientedPlan< dimension >::VectorsDriver::equation(), jafar::geom::intersection(), jafar::geom::HyperPlane< dimension >::projectionVector(), and jafar::geom::HyperPlane< dimension >::projectionVectorCov().

template<int dimension>

HyperPlane< dimension >::HomogenousVecD jafar::geom::HyperPlane< dimension >::origin ( ) const [inline]

Returns:: the origin of the plan

Definition at line 165 of file HyperPlaneImpl.hpp.

References jafar::geom::HyperPlane< dimension >::Driver::origin().

Referenced by jafar::geom::OrientedPlan< dimension >::VectorsDriver::equation(), jafar::geom::intersection(), jafar::geom::HyperPlane< dimension >::projectionVector(), and jafar::geom::HyperPlane< dimension >::projectionVectorCov().

template<int dimension>

HyperPlane< dimension >::HomogenousVecD jafar::geom::HyperPlane< dimension >::project ( const HomogenousVecD & p ) const [inline]

Project "orthogonaly" a point on the HyperPlane.

Parameters:

p

Definition at line 215 of file HyperPlaneImpl.hpp.

References jafar::geom::HyperPlane< dimension >::projectionVector().

template<int dimension>

HyperPlane< dimension >::HomogenousVecD jafar::geom::HyperPlane< dimension >::projectionVector ( const HomogenousVecD & p ) const [inline]

Returns:: the projection vector, the vector from p to the plan.

Definition at line 185 of file HyperPlaneImpl.hpp.

References jafar::geom::HyperPlane< dimension >::normal(), and jafar::geom::HyperPlane< dimension >::origin().

Referenced by jafar::geom::HyperPlane< dimension >::project().

template<int dimension>

void jafar::geom::HyperPlane< dimension >::projectionVectorCov	(	const HomogenousVecD &	p,
		const HomogenousSymMatrixD &	pCov,
		HomogenousVecD &	vec,
		HomogenousSymMatrixD &	cov
	)		const `[inline]`

Returns:: the projection vector, the vector from p to the plan, and compute the covariance of the vector.

Definition at line 190 of file HyperPlaneImpl.hpp.

References jafar::geom::HyperPlane< dimension >::normal(), and jafar::geom::HyperPlane< dimension >::origin().

Referenced by jafar::geom::HyperPlane< dimension >::projectionVectorCov().

template<int dimension>

void jafar::geom::HyperPlane< dimension >::projectionVectorCov	(	const Point< dimension > &	p,
		HomogenousVecD &	vec,
		HomogenousSymMatrixD &	cov
	)		const `[inline]`