DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor > Class Template Reference

Aim: implements backward rigid transformation of point in 3D integer space around any arbitrary axis. This implementation uses the Rodrigues' rotation formula. Warring: This version uses closest neighbor interpolation. More...

#include <DGtal/images/RigidTransformation3D.h>

Public Types
typedef TSpace::RealPoint	RealPoint
typedef TSpace::RealVector	RealVector

Public Member Functions
	BackwardRigidTransformation3D (const RealPoint &aOrigin, const RealVector &aAxis, const double &angle, const RealVector &aTranslate)
TOutputValue	operator() (const TInputValue &aInput) const

Private Member Functions
	BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))
	Checking concepts. More...
	BOOST_STATIC_ASSERT ((TSpace::dimension==3))
	BOOST_STATIC_ASSERT ((TOutputValue::dimension==3))
	BOOST_STATIC_ASSERT ((TInputValue::dimension==3))

Private Attributes
RealVector	axis
RealPoint	origin
double	t_sin
double	t_cos
RealVector	trans
TFunctor	functor

Detailed Description

template<typename TSpace, typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>
class DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >

Aim: implements backward rigid transformation of point in 3D integer space around any arbitrary axis. This implementation uses the Rodrigues' rotation formula. Warring: This version uses closest neighbor interpolation.

Description of template functor like class 'BackwardRigidTransformation3D'

Template Parameters

TSpace	a 3 dimensional space.
TInputValue	type of the input point e.g., TSpace::RealPoint
TOutputValue	type of the output point e.g., TSpace::Point
TFunctor	a functor operating on the output e.g., a rounding function.

See also

exampleRigidtransformation3d.cpp

Definition at line 164 of file RigidTransformation3D.h.

Member Typedef Documentation

RealPoint

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

typedef TSpace::RealPoint DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::RealPoint

Definition at line 174 of file RigidTransformation3D.h.

RealVector

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

typedef TSpace::RealVector DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::RealVector

Definition at line 175 of file RigidTransformation3D.h.

Constructor & Destructor Documentation

BackwardRigidTransformation3D()

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BackwardRigidTransformation3D ( const RealPoint &  aOrigin, const RealVector &  aAxis, const double &  angle, const RealVector &  aTranslate  )

inline

Constructor.

Parameters

aOrigin	the center of rotation.
aAxis	the axis of rotation.
angle	the angle given in radians.
aTranslate	the 3D dimensional vector which represents translation.

Definition at line 186 of file RigidTransformation3D.h.

        : axis(aAxis.getNormalized()), origin(aOrigin), trans(aTranslate)
    {
        if ( std::isnan( axis.norm() ) )
            throw std::runtime_error ( "Axis of rotation can not be set as a vector of length 0!" );
 
        t_sin = std::sin ( angle );
        t_cos = std::cos ( angle );
    }

References DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::axis, DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::t_cos, and DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::t_sin.

Member Function Documentation

BOOST_CONCEPT_ASSERT()

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BOOST_CONCEPT_ASSERT ( (concepts::CSpace< TSpace >)  )

private

Checking concepts.

BOOST_STATIC_ASSERT() [1/3]

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BOOST_STATIC_ASSERT ( (TInputValue::dimension==3)  )

private

BOOST_STATIC_ASSERT() [2/3]

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BOOST_STATIC_ASSERT ( (TOutputValue::dimension==3)  )

private

BOOST_STATIC_ASSERT() [3/3]

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BOOST_STATIC_ASSERT ( (TSpace::dimension==3)  )

private

operator()()

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

TOutputValue DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator() ( const TInputValue &  aInput ) const

inline

Operator

Returns

the transformed point.

Definition at line 203 of file RigidTransformation3D.h.

    {
        RealPoint p;
 
        p[0] = ( ( ( ( t_cos + ( axis[0] * axis[0] ) * ( 1. - t_cos ) ) * ( aInput[0] - trans[0] - origin[0] ) )
                + ( ( axis[2] * t_sin + axis[0] * axis[1] * ( 1. - t_cos ) ) * ( aInput[1] - trans[1] - origin[1] ) )
                + ( ( -axis[1] * t_sin + axis[0] * axis[2] * ( 1. - t_cos ) ) * ( aInput[2] - trans[2] - origin[2] ) ) ) ) + origin[0];
 
        p[1] = ( ( ( ( axis[0] * axis[1] * ( 1. - t_cos ) - axis[2] * t_sin )  * ( aInput[0] - trans[0] - origin[0] ) )
                + ( ( t_cos + ( axis[1] * axis[1] ) * ( 1. - t_cos ) ) * ( aInput[1] - trans[1] - origin[1] ) )
                + ( ( axis[0] * t_sin + axis[1] * axis[2] * ( 1. - t_cos ) ) * ( aInput[2] - trans[2] - origin[2] ) ) ) ) + origin[1];
 
        p[2] = ( ( ( ( axis[1] * t_sin + axis[0] * axis[2] * ( 1. - t_cos )  ) * ( aInput[0] - trans[0] - origin[0] ) )
                + ( ( -axis[0] * t_sin + axis[1] * axis[2] * ( 1. - t_cos ) ) * ( aInput[1] - trans[1] - origin[1] ) )
                + ( ( t_cos + ( axis[2] * axis[2] ) * ( 1. - t_cos ) ) * ( aInput[2] - trans[2] - origin[2] ) ) ) ) + origin[2];
        return functor ( p );
    }

References DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::axis, DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::functor, DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::origin, DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::t_cos, DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::t_sin, and DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::trans.

Field Documentation

axis

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

RealVector DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::axis

private

Definition at line 223 of file RigidTransformation3D.h.

Referenced by DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BackwardRigidTransformation3D(), and DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator()().

functor

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

TFunctor DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::functor

private

Definition at line 228 of file RigidTransformation3D.h.

Referenced by DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator()().

origin

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

RealPoint DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::origin

private

Definition at line 224 of file RigidTransformation3D.h.

Referenced by DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator()().

t_cos

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

double DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::t_cos

private

Definition at line 226 of file RigidTransformation3D.h.

Referenced by DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BackwardRigidTransformation3D(), and DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator()().

t_sin

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

double DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::t_sin

private

Definition at line 225 of file RigidTransformation3D.h.

Referenced by DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::BackwardRigidTransformation3D(), and DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator()().

trans

template<typename TSpace , typename TInputValue = typename TSpace::RealPoint, typename TOutputValue = typename TSpace::Point, typename TFunctor = VectorRounding < TInputValue, TOutputValue >>

RealVector DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::trans

private

Definition at line 227 of file RigidTransformation3D.h.

Referenced by DGtal::functors::BackwardRigidTransformation3D< TSpace, TInputValue, TOutputValue, TFunctor >::operator()().

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

• RigidTransformation3D.h