Invertible Affine transformation with square transformation matrix. More...

Inheritance diagram for IG.Num.AffineTransformationSquare:

Collaboration diagram for IG.Num.AffineTransformationSquare:

Public Member Functions
	AffineTransformationSquare (int dimension)
	Constructs affine transformation with the specified dimensions of the original (reference) and transformed (target) space. More...

	AffineTransformationSquare (Matrix transformationMatrix, Vector translationVector, bool inverseSpecified)
	Constructs affine transformation with the specified transformation matrix and translation vector. Either of the transformation matrix or translation vector can be null, but not both. More...

	AffineTransformationSquare (Matrix transformationMatrix, Vector translationVector)
	Constructs affine transformation with the specified transformation matrix and translation vector. Either of the transformation matrix or translation vector can be null, but not both. More...

virtual void	CopyTransformationMatrix (ref IMatrix store)
	Copies transformation matrix to the specified storage matrix. More...

virtual void	CopyInverseTransformationMatrix (ref IMatrix store)
	Copies inverse transformation matrix to the specified storage matrix. More...

void	TransformCoordinatesPlain (IVector original, IVector result)
	Transforms co-ordinates from the reference to the transformed space. WARNING: This is a plain version that does not check dimensions. More...

void	TransformCoordinates (IVector original, ref IVector result)
	Transforms co-ordinates from the reference to the transformed space. More...

void	TransformBackCoordinatesPlain (IVector transformed, IVector result)
	Backward transforms co-ordinates from the transformed to the reference space. More...

void	TransformBackCoordinates (IVector transformed, ref IVector result)
	Backward transforms co-ordinates from the transformed to the reference space. More...

void	TransformGradientPlain (IVector original, IVector result)
	Transforms gradient (or other covariant vector) from the reference to the transformed space. WARNING: This is a plain version that does not check dimensions. More...

void	TransformGradient (IVector original, ref IVector result)
	Transforms gradient (or other covariant vector) from the reference to the transformed space. More...

void	TransformBackGradientPlain (IVector transformed, IVector result)
	Backward transforms gradient (or other covariant vector) from the transformed to the reference space. More...

void	TransformBackGradient (IVector transformed, ref IVector result)
	Backward transforms gradient (or other covariant vector) from the transformed to the reference space. More...

void	TransformHessianPlain (IMatrix original, IMatrix result)
	Transforms Hessian (or other covariant matrix) from the reference to the transformed space. WARNING: This is a plain version that does not check dimensions. More...

void	TransformHessian (IMatrix original, ref IMatrix result)
	Transforms Hessian (or other covariant matrix) from the reference to the transformed space. More...

void	TransformBackHessianPlain (IMatrix transformed, IMatrix result)
	Backward transforms Hessian (or other covariant matrix) from the transformed to the reference space. More...

void	TransformBackHessian (IMatrix transformed, ref IMatrix result)
	Backward transforms Hessian (or other covariant matrix) from the transformed to the reference space. More...

Protected Member Functions
	AffineTransformationSquare ()

void	InitAuxVec ()
	Initializes auxiliary vector. More...

void	InitIdentityMat ()
	Initializes the auxiliary identity matrix. More...

void	InitAuxMat ()
	Initializes the auxiliary matrix. More...

virtual void	CalculateTransformationMatrix ()
	Calculates the transformation matrix from the inverse transformation matrix. More...

virtual void	CalculateInverseTransformationMatrix ()
	Calculates the inverse transformation matrix from the direct transformation matrix. More...

Protected Attributes
Vector	_auxVec

Matrix	_identityMat

Matrix	_auxMat

Properties
object	Lock `[get]`
	Object used for locking of the current object (ILockable interface). More...

int	DimensionOriginal `[get, protected set]`
	Dimension of the original (reference) space. More...

int	DimensionTransformed `[get, protected set]`
	Dimension of the transformed space. More...

int	Dimension `[get, protected set]`
	Dimension of the original and transformed space (which are equal for this class). More...

bool	CalculatedTransformationMatrix `[get, protected set]`
	Flag indicating whethet the transformation matrix is calculated or not. More...

virtual IMatrix	TransformationMatrix `[get, set]`
	Gets or sets transformation matrix that transforms vector of co-ordinates from the original to the reference space. More...

bool	CalculatedInverseTransformationMatrix `[get, protected set]`
	Flag indicating whethet the transformation matrix is calculated or not. More...

virtual IMatrix	InverseTransformationMatrix `[get, set]`
	Gets or sets inverse of the transformation matrix that transforms vector of co-ordinates from the original to the reference space. More...

virtual IVector	TranslationVector `[get, set]`
	Gets or sets the translation vector of the affine transformation. More...

Properties inherited from IG.Num.IAffineTransformation
int	DimensionOriginal `[get]`

int	DimensionTransformed `[get]`

IMatrix	TransformationMatrix `[get, set]`
	Get or set the transformation matrix. More...

IMatrix	InverseTransformationMatrix `[get, set]`
	Gets or sets inverse transformation matrix. More...

IVector	TranslationVector `[get, set]`
	Gets or sets the translation vector. More...

Properties inherited from IG.Lib.ILockable
object	Lock `[get]`

Private Attributes
object	_lockObj = new object()

int	_spaceDimension

bool	_calcTransformationMatrix

IMatrix	_transfMatrix

bool	_calcInverseTransformationMatrix

IVector	_translation

Detailed Description

Invertible Affine transformation with square transformation matrix.

$A Igor Jul10 Dec10; //TODO: implement IAffine transfoermation!

Constructor & Destructor Documentation

IG.Num.AffineTransformationSquare.AffineTransformationSquare ( )

inlineprotected

IG.Num.AffineTransformationSquare.AffineTransformationSquare ( int dimension )

inline

Constructs affine transformation with the specified dimensions of the original (reference) and transformed (target) space.

Parameters

dimOriginal	Dimension of the original space.
dimTransformed	Dimension of the reference space.

IG.Num.AffineTransformationSquare.AffineTransformationSquare	(	Matrix	transformationMatrix,
		Vector	translationVector,
		bool	inverseSpecified
	)

inline

Constructs affine transformation with the specified transformation matrix and translation vector. Either of the transformation matrix or translation vector can be null, but not both.

Parameters

transformationMatrix	Transformation matrix of the affine transformation.
translationVector	Translation vector of the affine transformation.

References IG.Num.Matrix.ColumnCount, IG.Num.Vector.Length, and IG.Num.Matrix.RowCount.

IG.Num.AffineTransformationSquare.AffineTransformationSquare	(	Matrix	transformationMatrix,
		Vector	translationVector
	)

inline

Constructs affine transformation with the specified transformation matrix and translation vector. Either of the transformation matrix or translation vector can be null, but not both.

Parameters

transformationMatrix	Transformation matrix of the affine transformation.
translationVector	Translation vector of the affine transformation.

References IG.Num.Matrix.ColumnCount, IG.Num.Vector.Length, and IG.Num.Matrix.RowCount.

Member Function Documentation

void IG.Num.AffineTransformationSquare.InitAuxVec ( )

inlineprotected

Initializes auxiliary vector.

References IG.Num.Vector.Length.

void IG.Num.AffineTransformationSquare.InitIdentityMat ( )

inlineprotected

Initializes the auxiliary identity matrix.

References IG.Num.Matrix.RowCount.

void IG.Num.AffineTransformationSquare.InitAuxMat ( )

inlineprotected

Initializes the auxiliary matrix.

References IG.Num.Matrix.RowCount.

virtual void IG.Num.AffineTransformationSquare.CalculateTransformationMatrix ( )

inlineprotectedvirtual

Calculates the transformation matrix from the inverse transformation matrix.

References IG.Num.MatrixBase.CopyPlain(), and IG.Num.LinearSolverBase.Solve().

virtual void IG.Num.AffineTransformationSquare.CalculateInverseTransformationMatrix ( )

inlineprotectedvirtual

Calculates the inverse transformation matrix from the direct transformation matrix.

References IG.Num.MatrixBase.CopyPlain(), and IG.Num.LinearSolverBase.Solve().

virtual void IG.Num.AffineTransformationSquare.CopyTransformationMatrix ( ref IMatrix store )

inlinevirtual

Copies transformation matrix to the specified storage matrix.

Parameters

store Storage matrix that transformation matrix is copied to.

Implements IG.Num.IAffineTransformation.

References IG.Num.Matrix.Copy().

virtual void IG.Num.AffineTransformationSquare.CopyInverseTransformationMatrix ( ref IMatrix store )

inlinevirtual

Copies inverse transformation matrix to the specified storage matrix.

Parameters

store Storage matrix that inverse transformation matrix is copied to.

Implements IG.Num.IAffineTransformation.

References IG.Num.Matrix.Copy().

void IG.Num.AffineTransformationSquare.TransformCoordinatesPlain	(	IVector	original,
		IVector	result
	)

inline

Transforms co-ordinates from the reference to the transformed space. WARNING: This is a plain version that does not check dimensions.

Parameters

original	Vector of original co-ordinates.
result	Vector where transformed co-ordinates are stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.VectorBase.AddPlain(), IG.Num.VectorBase.CopyPlain(), and IG.Num.MatrixBase.MultiplyPlain().

void IG.Num.AffineTransformationSquare.TransformCoordinates	(	IVector	original,
		ref IVector	result
	)

inline

Transforms co-ordinates from the reference to the transformed space.

Parameters

original	Vector of original co-ordinates.
result	Vector where transformed co-ordinates are stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.IVector.GetNew().

void IG.Num.AffineTransformationSquare.TransformBackCoordinatesPlain	(	IVector	transformed,
		IVector	result
	)

inline

Backward transforms co-ordinates from the transformed to the reference space.

Parameters

transformed	Vector of transformed co-ordinates.
original	Vector where inverse-transformed original co-ordinates are stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.VectorBase.CopyPlain(), IG.Num.MatrixBase.MultiplyPlain(), and IG.Num.VectorBase.SubtractPlain().

void IG.Num.AffineTransformationSquare.TransformBackCoordinates	(	IVector	transformed,
		ref IVector	result
	)

inline

Backward transforms co-ordinates from the transformed to the reference space.

Parameters

transformed	Vector of transformed co-ordinates.
original	Vector where inverse-transformed original co-ordinates are stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.IVector.GetNew().

void IG.Num.AffineTransformationSquare.TransformGradientPlain	(	IVector	original,
		IVector	result
	)

inline

Transforms gradient (or other covariant vector) from the reference to the transformed space. WARNING: This is a plain version that does not check dimensions.

Parameters

original	Original gradient-like vector.
result	Vector where resulting transformed vector is stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.VectorBase.CopyPlain(), and IG.Num.MatrixBase.MultiplyTranspVecPlain().

void IG.Num.AffineTransformationSquare.TransformGradient	(	IVector	original,
		ref IVector	result
	)

inline

Transforms gradient (or other covariant vector) from the reference to the transformed space.

Parameters

original	Original gradient-like vector.
result	Vector where resulting transformed vector is stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.IVector.GetNew().

void IG.Num.AffineTransformationSquare.TransformBackGradientPlain	(	IVector	transformed,
		IVector	result
	)

inline

Backward transforms gradient (or other covariant vector) from the transformed to the reference space.

Parameters

transformed	Transformed gradient-like vector.
original	Vector where resulting backward transformed vector is stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.VectorBase.CopyPlain(), and IG.Num.MatrixBase.MultiplyTranspVecPlain().

void IG.Num.AffineTransformationSquare.TransformBackGradient	(	IVector	transformed,
		ref IVector	result
	)

inline

Backward transforms gradient (or other covariant vector) from the transformed to the reference space.

Parameters

transformed	Transformed gradient-like vector.
original	Vector where resulting backward transformed vector is stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.IVector.GetNew().

void IG.Num.AffineTransformationSquare.TransformHessianPlain	(	IMatrix	original,
		IMatrix	result
	)

inline

Transforms Hessian (or other covariant matrix) from the reference to the transformed space. WARNING: This is a plain version that does not check dimensions.

Parameters

original	Original matrix.
result	Matrix where resulting transformed matrix is stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.MatrixBase.CopyPlain(), and IG.Num.MatrixBase.MultiplyTranspMatMatPlain().

void IG.Num.AffineTransformationSquare.TransformHessian	(	IMatrix	original,
		ref IMatrix	result
	)

inline

Transforms Hessian (or other covariant matrix) from the reference to the transformed space.

Parameters

original	Original matrix.
result	Matrix where resulting transformed matrix is stored. Allocated/reallocated if necessary.

Implements IG.Num.IAffineTransformation.

References IG.Num.IMatrix.GetNew().

void IG.Num.AffineTransformationSquare.TransformBackHessianPlain	(	IMatrix	transformed,
		IMatrix	result
	)

inline

Backward transforms Hessian (or other covariant matrix) from the transformed to the reference space.

Parameters

transformed	Matrix in transformed coordinates.
original	Matrix where resulting backward-transformed matrix is stored.

Implements IG.Num.IAffineTransformation.

References IG.Num.MatrixBase.CopyPlain(), and IG.Num.MatrixBase.MultiplyTranspMatMatPlain().

void IG.Num.AffineTransformationSquare.TransformBackHessian	(	IMatrix	transformed,
		ref IMatrix	result
	)

inline

Backward transforms Hessian (or other covariant matrix) from the transformed to the reference space.

Parameters

transformed	Matrix in transformed coordinates.
original	Matrix where resulting backward-transformed matrix is stored. Allocated/reallocated if necessary.

Implements IG.Num.IAffineTransformation.

References IG.Num.IMatrix.GetNew().

Member Data Documentation

object IG.Num.AffineTransformationSquare._lockObj = new object()

private

int IG.Num.AffineTransformationSquare._spaceDimension

private

bool IG.Num.AffineTransformationSquare._calcTransformationMatrix

private

IMatrix IG.Num.AffineTransformationSquare._transfMatrix

private

bool IG.Num.AffineTransformationSquare._calcInverseTransformationMatrix

private

Vector IG.Num.AffineTransformationSquare._auxVec

protected

Matrix IG.Num.AffineTransformationSquare._identityMat

protected

Matrix IG.Num.AffineTransformationSquare._auxMat

protected

IVector IG.Num.AffineTransformationSquare._translation

private

Property Documentation

object IG.Num.AffineTransformationSquare.Lock

get

Object used for locking of the current object (ILockable interface).

int IG.Num.AffineTransformationSquare.DimensionOriginal

getprotected set

Dimension of the original (reference) space.

int IG.Num.AffineTransformationSquare.DimensionTransformed

getprotected set

Dimension of the transformed space.

int IG.Num.AffineTransformationSquare.Dimension

getprotected set

Dimension of the original and transformed space (which are equal for this class).

bool IG.Num.AffineTransformationSquare.CalculatedTransformationMatrix

getprotected set

Flag indicating whethet the transformation matrix is calculated or not.

virtual IMatrix IG.Num.AffineTransformationSquare.TransformationMatrix

getset

Gets or sets transformation matrix that transforms vector of co-ordinates from the original to the reference space.

bool IG.Num.AffineTransformationSquare.CalculatedInverseTransformationMatrix

getprotected set

Flag indicating whethet the transformation matrix is calculated or not.

virtual IMatrix IG.Num.AffineTransformationSquare.InverseTransformationMatrix

getset

Gets or sets inverse of the transformation matrix that transforms vector of co-ordinates from the original to the reference space.

virtual IVector IG.Num.AffineTransformationSquare.TranslationVector

getset

Gets or sets the translation vector of the affine transformation.

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

igbase/numeric/TransformationAffineSquare.cs

Public Member Functions

Protected Member Functions

Protected Attributes

Properties

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

Property Documentation