Affine Transformation. More...

Inheritance diagram for IG.Num.IAffineTransformation:

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

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

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

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

void	TransformBackCoordinates (IVector transformed, ref IVector original)
	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...

Properties
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...

Detailed Description

Affine Transformation.

$A Igor Jul10;

Member Function Documentation

void IG.Num.IAffineTransformation.CopyTransformationMatrix ( ref IMatrix store )

Copies transformation matrix to the specified storage matrix.

Parameters

store Storage matrix that transformation matrix is copied to.

Implemented in IG.Num.AffineTransformationSquare.

void IG.Num.IAffineTransformation.CopyInverseTransformationMatrix ( ref IMatrix store )

Copies inverse transformation matrix to the specified storage matrix.

Parameters

store Storage matrix that inverse transformation matrix is copied to.

Implemented in IG.Num.AffineTransformationSquare.

void IG.Num.IAffineTransformation.TransformCoordinatesPlain	(	IVector	original,
		IVector	transformed
	)

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.
transformed	Vector where transformed co-ordinates are stored.

Implemented in IG.Num.AffineTransformationSquare.

void IG.Num.IAffineTransformation.TransformCoordinates	(	IVector	original,
		ref IVector	transformed
	)

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

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

void IG.Num.IAffineTransformation.TransformBackCoordinatesPlain	(	IVector	transformed,
		IVector	original
	)

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.

Implemented in IG.Num.AffineTransformationSquare.

void IG.Num.IAffineTransformation.TransformBackCoordinates	(	IVector	transformed,
		ref IVector	original
	)

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.

Implemented in IG.Num.AffineTransformationSquare.

Referenced by IG.Num.ScalarFunctionBase.GradientPlain(), IG.Num.ScalarFunctionBase.HessianPlain(), and IG.Num.ScalarFunctionBase.Value().

void IG.Num.IAffineTransformation.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.

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

Referenced by IG.Num.ScalarFunctionBase.GradientPlain().

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

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.

Implemented in IG.Num.AffineTransformationSquare.

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

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

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

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

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

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

void IG.Num.IAffineTransformation.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.

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

Referenced by IG.Num.ScalarFunctionBase.HessianPlain().

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

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.

Implemented in IG.Num.AffineTransformationSquare.

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

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

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

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

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

Parameters

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

Implemented in IG.Num.AffineTransformationSquare.

Property Documentation

int IG.Num.IAffineTransformation.DimensionOriginal

get

int IG.Num.IAffineTransformation.DimensionTransformed

get

IMatrix IG.Num.IAffineTransformation.TransformationMatrix

getset

Get or set the transformation matrix.

IMatrix IG.Num.IAffineTransformation.InverseTransformationMatrix

getset

Gets or sets inverse transformation matrix.

IVector IG.Num.IAffineTransformation.TranslationVector

getset

Gets or sets the translation vector.

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

igbase/numeric/TransformationAffineInt.cs

Public Member Functions

Properties

Detailed Description

Member Function Documentation

Property Documentation