Translation< _Scalar, _Dim > Class Template Reference [Geometry_Module]

Represents a translation transformation. More...

#include <Translation.h>

List of all members.

Public Types
enum	{ Dim = _Dim }
enum	{ Dim = _Dim }
typedef _Scalar	Scalar
typedef Matrix< Scalar, Dim, 1 >	VectorType
typedef Matrix< Scalar, Dim, Dim >	LinearMatrixType
typedef Scaling< Scalar, Dim >	ScalingType
typedef Transform< Scalar, Dim >	TransformType
typedef _Scalar	Scalar
typedef Matrix< Scalar, Dim, 1 >	VectorType
typedef Matrix< Scalar, Dim, Dim >	LinearMatrixType
typedef Transform< Scalar, Dim, Affine >	AffineTransformType
Public Member Functions
	Translation ()
	Translation (const Scalar &sx, const Scalar &sy)
	Translation (const Scalar &sx, const Scalar &sy, const Scalar &sz)
	Translation (const VectorType &vector)
const VectorType &	vector () const
VectorType &	vector ()
Translation	operator* (const Translation &other) const
TransformType	operator* (const ScalingType &other) const
TransformType	operator* (const LinearMatrixType &linear) const
template<typename Derived >
TransformType	operator* (const RotationBase< Derived, Dim > &r) const
TransformType	operator* (const TransformType &t) const
VectorType	operator* (const VectorType &other) const
Translation	inverse () const
Translation &	operator= (const Translation &other)
template<typename NewScalarType >
internal::cast_return_type < Translation, Translation < NewScalarType, Dim > >::type	cast () const
template<typename OtherScalarType >
	Translation (const Translation< OtherScalarType, Dim > &other)
bool	isApprox (const Translation &other, typename NumTraits< Scalar >::Real prec=precision< Scalar >()) const
	Translation ()
	Translation (const Scalar &sx, const Scalar &sy)
	Translation (const Scalar &sx, const Scalar &sy, const Scalar &sz)
	Translation (const VectorType &vector)
Scalar	x () const
	Retruns the x-translation by value.
Scalar	y () const
	Retruns the y-translation by value.
Scalar	z () const
	Retruns the z-translation by value.
Scalar &	x ()
	Retruns the x-translation as a reference.
Scalar &	y ()
	Retruns the y-translation as a reference.
Scalar &	z ()
	Retruns the z-translation as a reference.
const VectorType &	vector () const
VectorType &	vector ()
const VectorType &	translation () const
VectorType &	translation ()
Translation	operator* (const Translation &other) const
AffineTransformType	operator* (const UniformScaling< Scalar > &other) const
template<typename OtherDerived >
AffineTransformType	operator* (const EigenBase< OtherDerived > &linear) const
template<typename Derived >
AffineTransformType	operator* (const RotationBase< Derived, Dim > &r) const
template<int Mode, int Options>
Transform< Scalar, Dim, Mode >	operator* (const Transform< Scalar, Dim, Mode, Options > &t) const
VectorType	operator* (const VectorType &other) const
Translation	inverse () const
Translation &	operator= (const Translation &other)
template<typename NewScalarType >
internal::cast_return_type < Translation, Translation < NewScalarType, Dim > >::type	cast () const
template<typename OtherScalarType >
	Translation (const Translation< OtherScalarType, Dim > &other)
bool	isApprox (const Translation &other, typename NumTraits< Scalar >::Real prec=NumTraits< Scalar >::dummy_precision()) const
Static Public Member Functions
static const Translation	Identity ()
Protected Attributes
VectorType	m_coeffs
Friends
TransformType	operator* (const LinearMatrixType &linear, const Translation &t)
template<typename OtherDerived >
AffineTransformType	operator* (const EigenBase< OtherDerived > &linear, const Translation &t)

---

Detailed Description

template<typename _Scalar, int _Dim>
class Translation< _Scalar, _Dim >

Represents a translation transformation.

Parameters:

	_Scalar	the scalar type, i.e., the type of the coefficients.
	_Dim	the dimension of the space, can be a compile time value or Dynamic

Note:

This class is not aimed to be used to store a translation transformation, but rather to make easier the constructions and updates of Transform objects.

See also:

class Scaling, class Transform

---

Member Typedef Documentation

template<typename _Scalar, int _Dim>

typedef Transform<Scalar,Dim,Affine> Translation< _Scalar, _Dim >::AffineTransformType

corresponding affine transformation type

template<typename _Scalar, int _Dim>

typedef Matrix<Scalar,Dim,Dim> Translation< _Scalar, _Dim >::LinearMatrixType

corresponding linear transformation matrix type

template<typename _Scalar, int _Dim>

typedef Matrix<Scalar,Dim,Dim> Translation< _Scalar, _Dim >::LinearMatrixType

corresponding linear transformation matrix type

template<typename _Scalar, int _Dim>

typedef _Scalar Translation< _Scalar, _Dim >::Scalar

the scalar type of the coefficients

template<typename _Scalar, int _Dim>

typedef _Scalar Translation< _Scalar, _Dim >::Scalar

the scalar type of the coefficients

template<typename _Scalar, int _Dim>

typedef Scaling<Scalar,Dim> Translation< _Scalar, _Dim >::ScalingType

corresponding scaling transformation type

template<typename _Scalar, int _Dim>

typedef Transform<Scalar,Dim> Translation< _Scalar, _Dim >::TransformType

corresponding affine transformation type

template<typename _Scalar, int _Dim>

typedef Matrix<Scalar,Dim,1> Translation< _Scalar, _Dim >::VectorType

corresponding vector type

template<typename _Scalar, int _Dim>

typedef Matrix<Scalar,Dim,1> Translation< _Scalar, _Dim >::VectorType

corresponding vector type

---

Member Enumeration Documentation

template<typename _Scalar, int _Dim>

anonymous enum

dimension of the space

Enumerator:

Dim

template<typename _Scalar, int _Dim>

anonymous enum

dimension of the space

Enumerator:

Dim

---

Constructor & Destructor Documentation

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation

(

)

[inline]

Default constructor without initialization.

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation	(	const Scalar &	sx,
		const Scalar &	sy
	)			[inline]

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation	(	const Scalar &	sx,
		const Scalar &	sy,
		const Scalar &	sz
	)			[inline]

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation

(

const VectorType &

vector

)

[inline, explicit]

Constructs and initialize the scaling transformation from a vector of scaling coefficients

template<typename _Scalar, int _Dim>

template<typename OtherScalarType >

Translation< _Scalar, _Dim >::Translation

(

const Translation< OtherScalarType, Dim > &

other

)

[inline, explicit]

Copy constructor with scalar type conversion

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation

(

)

[inline]

Default constructor without initialization.

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation	(	const Scalar &	sx,
		const Scalar &	sy
	)			[inline]

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation	(	const Scalar &	sx,
		const Scalar &	sy,
		const Scalar &	sz
	)			[inline]

template<typename _Scalar, int _Dim>

Translation< _Scalar, _Dim >::Translation

(

const VectorType &

vector

)

[inline, explicit]

Constructs and initialize the translation transformation from a vector of translation coefficients

template<typename _Scalar, int _Dim>

template<typename OtherScalarType >

Translation< _Scalar, _Dim >::Translation

(

const Translation< OtherScalarType, Dim > &

other

)

[inline, explicit]

Copy constructor with scalar type conversion

---

Member Function Documentation

template<typename _Scalar, int _Dim>

template<typename NewScalarType >

internal::cast_return_type<Translation,Translation<NewScalarType,Dim> >::type Translation< _Scalar, _Dim >::cast

(

)

const [inline]

Returns:

*this with scalar type casted to NewScalarType

Note that if NewScalarType is equal to the current scalar type of *this then this function smartly returns a const reference to *this.

template<typename _Scalar, int _Dim>

template<typename NewScalarType >

internal::cast_return_type<Translation,Translation<NewScalarType,Dim> >::type Translation< _Scalar, _Dim >::cast

(

)

const [inline]

Returns:

*this with scalar type casted to NewScalarType

Note that if NewScalarType is equal to the current scalar type of *this then this function smartly returns a const reference to *this.

template<typename _Scalar, int _Dim>

static const Translation Translation< _Scalar, _Dim >::Identity

(

)

[inline, static]

template<typename _Scalar, int _Dim>

Translation Translation< _Scalar, _Dim >::inverse

(

void

)

const [inline]

Returns:

the inverse translation (opposite)

template<typename _Scalar, int _Dim>

Translation Translation< _Scalar, _Dim >::inverse

(

void

)

const [inline]

Returns:

the inverse translation (opposite)

template<typename _Scalar, int _Dim>

bool Translation< _Scalar, _Dim >::isApprox	(	const Translation< _Scalar, _Dim > &	other,
		typename NumTraits< Scalar >::Real	prec = NumTraits<Scalar>::dummy_precision()
	)			const [inline]

Returns:

true if *this is approximately equal to other, within the precision determined by prec.

See also:

MatrixBase::isApprox()

template<typename _Scalar, int _Dim>

bool Translation< _Scalar, _Dim >::isApprox	(	const Translation< _Scalar, _Dim > &	other,
		typename NumTraits< Scalar >::Real	prec = precision<Scalar>()
	)			const [inline]

Returns:

true if *this is approximately equal to other, within the precision determined by prec.

See also:

MatrixBase::isApprox()

template<typename _Scalar, int _Dim>

template<int Mode, int Options>

Transform<Scalar,Dim,Mode> Translation< _Scalar, _Dim >::operator*

(

const Transform< Scalar, Dim, Mode, Options > &

t

)

const [inline]

Concatenates a translation and a transformation

template<typename Scalar , int Dim>

Translation< Scalar, Dim >::TransformType Translation< Scalar, Dim >::operator*

(

const ScalingType &

other

)

const [inline]

Concatenates a translation and a scaling

template<typename _Scalar, int _Dim>

VectorType Translation< _Scalar, _Dim >::operator*

(

const VectorType &

other

)

const [inline]

Applies translation to vector

template<typename _Scalar, int _Dim>

Translation Translation< _Scalar, _Dim >::operator*

(

const Translation< _Scalar, _Dim > &

other

)

const [inline]

Concatenates two translation

template<typename Scalar , int Dim>

Translation< Scalar, Dim >::TransformType Translation< Scalar, Dim >::operator*

(

const LinearMatrixType &

linear

)

const [inline]

Concatenates a translation and a linear transformation

template<typename _Scalar, int _Dim>

Translation Translation< _Scalar, _Dim >::operator*

(

const Translation< _Scalar, _Dim > &

other

)

const [inline]

Concatenates two translation

template<typename _Scalar, int _Dim>

template<typename Derived >

TransformType Translation< _Scalar, _Dim >::operator*

(

const RotationBase< Derived, Dim > &

r

)

const [inline]

template<typename Scalar , int Dim>

Translation< Scalar, Dim >::AffineTransformType Translation< Scalar, Dim >::operator*

(

const UniformScaling< Scalar > &

other

)

const [inline]

Concatenates a translation and a uniform scaling

template<typename Scalar , int Dim>

template<typename OtherDerived >

Translation< Scalar, Dim >::AffineTransformType Translation< Scalar, Dim >::operator*

(

const EigenBase< OtherDerived > &

linear

)

const [inline]

Concatenates a translation and a linear transformation

template<typename _Scalar, int _Dim>

template<typename Derived >

AffineTransformType Translation< _Scalar, _Dim >::operator*

(

const RotationBase< Derived, Dim > &

r

)

const [inline]

Concatenates a translation and a rotation

template<typename Scalar , int Dim>

Translation< Scalar, Dim >::TransformType Translation< Scalar, Dim >::operator*

(

const TransformType &

t

)

const [inline]

Concatenates a translation and an affine transformation

template<typename _Scalar, int _Dim>

VectorType Translation< _Scalar, _Dim >::operator*

(

const VectorType &

other

)

const [inline]

Applies translation to vector

template<typename _Scalar, int _Dim>

Translation& Translation< _Scalar, _Dim >::operator=

(

const Translation< _Scalar, _Dim > &

other

)

[inline]

template<typename _Scalar, int _Dim>

Translation& Translation< _Scalar, _Dim >::operator=

(

const Translation< _Scalar, _Dim > &

other

)

[inline]

template<typename _Scalar, int _Dim>

const VectorType& Translation< _Scalar, _Dim >::translation

(

)

const [inline]

template<typename _Scalar, int _Dim>

VectorType& Translation< _Scalar, _Dim >::translation

(

)

[inline]

template<typename _Scalar, int _Dim>

VectorType& Translation< _Scalar, _Dim >::vector

(

)

[inline]

template<typename _Scalar, int _Dim>

const VectorType& Translation< _Scalar, _Dim >::vector

(

)

const [inline]

template<typename _Scalar, int _Dim>

const VectorType& Translation< _Scalar, _Dim >::vector

(

)

const [inline]

template<typename _Scalar, int _Dim>

VectorType& Translation< _Scalar, _Dim >::vector

(

)

[inline]

template<typename _Scalar, int _Dim>

Scalar Translation< _Scalar, _Dim >::x

(

)

const [inline]

Retruns the x-translation by value.

template<typename _Scalar, int _Dim>

Scalar& Translation< _Scalar, _Dim >::x

(

)

[inline]

Retruns the x-translation as a reference.

template<typename _Scalar, int _Dim>

Scalar& Translation< _Scalar, _Dim >::y

(

)

[inline]

Retruns the y-translation as a reference.

template<typename _Scalar, int _Dim>

Scalar Translation< _Scalar, _Dim >::y

(

)

const [inline]

Retruns the y-translation by value.

template<typename _Scalar, int _Dim>

Scalar& Translation< _Scalar, _Dim >::z

(

)

[inline]

Retruns the z-translation as a reference.

template<typename _Scalar, int _Dim>

Scalar Translation< _Scalar, _Dim >::z

(

)

const [inline]

Retruns the z-translation by value.

---

Friends And Related Function Documentation

template<typename _Scalar, int _Dim>

TransformType operator*	(	const LinearMatrixType &	linear,
		const Translation< _Scalar, _Dim > &	t
	)			[friend]

Concatenates a linear transformation and a translation

template<typename _Scalar, int _Dim>

template<typename OtherDerived >

AffineTransformType operator*	(	const EigenBase< OtherDerived > &	linear,
		const Translation< _Scalar, _Dim > &	t
	)			[friend]

Returns:

the concatenation of a linear transformation l with the translation t

---

Member Data Documentation

template<typename _Scalar, int _Dim>

VectorType Translation< _Scalar, _Dim >::m_coeffs [protected]

---

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

• /home/hauberg/Dokumenter/Capture/humim-tracker-0.1/src/ntk/geometry/Eigen/src/Eigen2Support/Geometry/Translation.h
• /home/hauberg/Dokumenter/Capture/humim-tracker-0.1/src/ntk/geometry/Eigen/src/Geometry/Translation.h