Mathematic functions operating on the data types CFloatMatrix, CFloatVector, CDoubleMatrix, and CDoubleVector. More...

Functions
void	AddMatMat (const CFloatMatrix pMatrix1, const CFloatMatrix pMatrix2, CFloatMatrix *pResultMatrix)
void	AddMatMat (const CDoubleMatrix pMatrix1, const CDoubleMatrix pMatrix2, CDoubleMatrix *pResultMatrix)
void	AddToMat (CFloatMatrix pMatrix, const CFloatMatrix pMatrixToAdd)
void	AddToMat (CDoubleMatrix pMatrix, const CDoubleMatrix pMatrixToAdd)
void	AddToVec (CFloatVector pVector, const CFloatVector pVectorToAdd)
void	AddToVec (CDoubleVector pVector, const CDoubleVector pVectorToAdd)
void	AddVecVec (const CFloatVector pVector1, const CFloatVector pVector2, CFloatVector *pResultVector)
void	AddVecVec (const CDoubleVector pVector1, const CDoubleVector pVector2, CDoubleVector *pResultVector)
bool	CalculatePseudoInverseSimple (const CFloatMatrix pInputMatrix, CFloatMatrix pResultMatrix)
bool	CalculatePseudoInverseSimple (const CDoubleMatrix pInputMatrix, CDoubleMatrix pResultMatrix)
void	CalculatePseudoInverseSVD (const CFloatMatrix pInputMatrix, CFloatMatrix pOutputMatrix)
void	CalculatePseudoInverseSVD (const CDoubleMatrix pInputMatrix, CDoubleMatrix pOutputMatrix)
bool	DetermineAffineTransformation (const Vec2d pSourcePoints, const Vec2d pTargetPoints, int nPoints, Mat3d &A, bool bUseSVD=false)
	Determines an affine transformation based on a set of 2d-2d point correspondences.
bool	DetermineHomography (const Vec2d pSourcePoints, const Vec2d pTargetPoints, int nPoints, Mat3d &A, bool bUseSVD=false)
	Determines a homography based on a set of 2d-2d point correspondences.
bool	Invert (const CFloatMatrix pInputMatrix, CFloatMatrix pResultMatrix)
bool	Invert (const CDoubleMatrix pInputMatrix, CDoubleMatrix pResultMatrix)
void	MulMatMat (const CFloatMatrix A, const CFloatMatrix B, CFloatMatrix *pResultMatrix, bool bTransposeB=false)
void	MulMatMat (const CDoubleMatrix pMatrix1, const CDoubleMatrix pMatrix2, CDoubleMatrix *pResultMatrix, bool bTransposeB=false)
void	MulMatVec (const CFloatMatrix pMatrix, const CFloatVector pVector, CFloatVector *pResultVector)
void	MulMatVec (const CFloatMatrix pMatrix, const CFloatVector pVector1, const CFloatVector pVector2, CFloatVector pResultVector)
void	MulMatVec (const CDoubleMatrix pMatrix, const CDoubleVector pVector, CDoubleVector *pResultVector)
void	MulMatVec (const CDoubleMatrix pMatrix, const CDoubleVector pVector1, const CDoubleVector pVector2, CDoubleVector pResultVector)
void	PCA (const CFloatMatrix pData, CFloatMatrix pTransformationMatrix, CFloatMatrix *pTransformedData, int nTargetDimension)
void	PCA (const CFloatMatrix pData, CFloatMatrix pTransformationMatrix, CFloatMatrix *pEigenValues)
void	SelfProduct (const CFloatMatrix pMatrix, CFloatMatrix pResultMatrix, bool AAT=false)
void	SelfProduct (const CDoubleMatrix pMatrix, CDoubleMatrix pResultMatrix, bool AAT=false)
void	SolveLinearLeastSquaresHomogeneousSVD (const CFloatMatrix A, CFloatVector x)
void	SolveLinearLeastSquaresHomogeneousSVD (const CDoubleMatrix A, CDoubleVector x)
bool	SolveLinearLeastSquaresSimple (const CFloatMatrix A, const CFloatVector b, CFloatVector *x)
bool	SolveLinearLeastSquaresSimple (const CDoubleMatrix A, const CDoubleVector b, CDoubleVector *x)
void	SolveLinearLeastSquaresSVD (const CFloatMatrix A, const CFloatVector b, CFloatVector *x)
void	SolveLinearLeastSquaresSVD (const CDoubleMatrix A, const CDoubleVector b, CDoubleVector *x)
void	SubtractFromMat (CFloatMatrix pMatrix, const CFloatMatrix pMatrixToSubtract)
void	SubtractFromMat (CDoubleMatrix pMatrix, const CDoubleMatrix pMatrixToSubtract)
void	SubtractFromVec (CFloatVector pVector, const CFloatVector pVectorToSubtract)
void	SubtractFromVec (CDoubleVector pVector, const CDoubleVector pVectorToSubtract)
void	SubtractMatMat (const CFloatMatrix pMatrix1, const CFloatMatrix pMatrix2, CFloatMatrix *pResultMatrix)
void	SubtractMatMat (const CDoubleMatrix pMatrix1, const CDoubleMatrix pMatrix2, CDoubleMatrix *pResultMatrix)
void	SubtractMeanFromColumns (const CFloatMatrix pMatrix, CFloatMatrix pResultMatrix)
void	SubtractMeanFromColumns (const CDoubleMatrix pMatrix, CDoubleMatrix pResultMatrix)
void	SubtractMeanFromRows (const CFloatMatrix pMatrix, CFloatMatrix pResultMatrix)
void	SubtractMeanFromRows (const CDoubleMatrix pMatrix, CDoubleMatrix pResultMatrix)
void	SubtractVecVec (const CFloatVector pVector1, const CFloatVector pVector2, CFloatVector *pResultVector)
void	SubtractVecVec (const CDoubleVector pVector1, const CDoubleVector pVector2, CDoubleVector *pResultVector)
void	SVD (const CFloatMatrix A, CFloatMatrix W, CFloatMatrix U=0, CFloatMatrix V=0, bool bAllowModifyA=false, bool bReturnUTransposed=false, bool bReturnVTransposed=false)
void	SVD (const CDoubleMatrix A, CDoubleMatrix W, CDoubleMatrix U=0, CDoubleMatrix V=0, bool bAllowModifyA=false, bool bReturnUTransposed=false, bool bReturnVTransposed=false)
void	Transpose (const CFloatMatrix pMatrix, CFloatMatrix pResultMatrix)
void	Transpose (const CDoubleMatrix pMatrix, CDoubleMatrix pResultMatrix)
void	Zero (CFloatMatrix *pMatrix)
void	Zero (CFloatVector *pVector)
void	Zero (CDoubleMatrix *pMatrix)
void	Zero (CDoubleVector *pVector)

Detailed Description

Mathematic functions operating on the data types CFloatMatrix, CFloatVector, CDoubleMatrix, and CDoubleVector.

Function Documentation

void LinearAlgebra::AddMatMat	(	const CFloatMatrix *	pMatrix1,
		const CFloatMatrix *	pMatrix2,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 346 of file LinearAlgebra.cpp.

void LinearAlgebra::AddMatMat	(	const CDoubleMatrix *	pMatrix1,
		const CDoubleMatrix *	pMatrix2,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1160 of file LinearAlgebra.cpp.

void LinearAlgebra::AddToMat	(	CFloatMatrix *	pMatrix,
		const CFloatMatrix *	pMatrixToAdd
	)

Definition at line 416 of file LinearAlgebra.cpp.

void LinearAlgebra::AddToMat	(	CDoubleMatrix *	pMatrix,
		const CDoubleMatrix *	pMatrixToAdd
	)

Definition at line 1230 of file LinearAlgebra.cpp.

void LinearAlgebra::AddToVec	(	CFloatVector *	pVector,
		const CFloatVector *	pVectorToAdd
	)

Definition at line 448 of file LinearAlgebra.cpp.

void LinearAlgebra::AddToVec	(	CDoubleVector *	pVector,
		const CDoubleVector *	pVectorToAdd
	)

Definition at line 1262 of file LinearAlgebra.cpp.

void LinearAlgebra::AddVecVec	(	const CFloatVector *	pVector1,
		const CFloatVector *	pVector2,
		CFloatVector *	pResultVector
	)

Definition at line 382 of file LinearAlgebra.cpp.

void LinearAlgebra::AddVecVec	(	const CDoubleVector *	pVector1,
		const CDoubleVector *	pVector2,
		CDoubleVector *	pResultVector
	)

Definition at line 1196 of file LinearAlgebra.cpp.

bool LinearAlgebra::CalculatePseudoInverseSimple	(	const CFloatMatrix *	pInputMatrix,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 654 of file LinearAlgebra.cpp.

bool LinearAlgebra::CalculatePseudoInverseSimple	(	const CDoubleMatrix *	pInputMatrix,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1575 of file LinearAlgebra.cpp.

void LinearAlgebra::CalculatePseudoInverseSVD	(	const CFloatMatrix *	pInputMatrix,
		CFloatMatrix *	pOutputMatrix
	)

Definition at line 606 of file LinearAlgebra.cpp.

void LinearAlgebra::CalculatePseudoInverseSVD	(	const CDoubleMatrix *	pInputMatrix,
		CDoubleMatrix *	pOutputMatrix
	)

Definition at line 1527 of file LinearAlgebra.cpp.

bool LinearAlgebra::DetermineAffineTransformation	(	const Vec2d *	pSourcePoints,
		const Vec2d *	pTargetPoints,
		int	nPoints,
		Mat3d &	A,
		bool	bUseSVD = `false`
	)

Determines an affine transformation based on a set of 2d-2d point correspondences.

The affine transformation is determined by solving the over-determined system $\left( \begin{array}{cccccc} u_1 & v_1 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & u_1 & v_1 & 1 \\ \vdots & \vdots & \vdots & \vdots & \vdots & \vdots \\ u_n & v_n & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & u_n & v_n & 1 \end{array} \right) \left( \begin{array}{c} a_1 \\ a_2 \\ a_3 \\ a_4 \\ a_5 \\ a_6 \end{array} \right) = \left( \begin{array}{c} u_1' \\ v_1' \\ \vdots \\ u_n' \\ v_n' \end{array} \right)$ .

This is solved optimally in the sense of the Euclidean norm by using the method of least squares.

The n-th entry in pSourcePoints must correspond with the n-th entry in pTargetPoints.

Parameters:

pSourcePoints	The source points.
pTargetPoints	The target points.
nPoints	Number of points.

Definition at line 1616 of file LinearAlgebra.cpp.

bool LinearAlgebra::DetermineHomography	(	const Vec2d *	pSourcePoints,
		const Vec2d *	pTargetPoints,
		int	nPoints,
		Mat3d &	A,
		bool	bUseSVD = `false`
	)

Determines a homography based on a set of 2d-2d point correspondences.

The homography is determined by solving the over-determined system $\left( \begin{array}{cccccccc} u_1 & v_1 & 1 & 0 & 0 & 0 & -u_1 u_1' & -v_1 u_1 ' \\ 0 & 0 & 0 & u_1 & v_1 & 1 & -u_1 v_1' & -v_1 v_1' \\ \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots \\ u_n & v_n & 1 & 0 & 0 & 0 & -u_n u_n' & -v_n u_n' \\ 0 & 0 & 0 & u_n & v_n & 1 & -u_n v_n' & -v_n v_n' \end{array} \right) \left( \begin{array}{c} a_1 \\ a_2 \\ a_3 \\ a_4 \\ a_5 \\ a_6 \\ a_7 \\ a_8 \end{array} \right) = \left( \begin{array}{c} u_1' \\ v_1' \\ \vdots \\ u_n' \\ v_n' \end{array} \right)$ .

This is solved optimally in the sense of the Euclidean norm by using the method of least squares.

The n-th entry in pSourcePoints must correspond with the n-th entry in pTargetPoints.

Parameters:

pSourcePoints	The source points.
pTargetPoints	The target points.
nPoints	Number of points. Must be at least 4.

Definition at line 1670 of file LinearAlgebra.cpp.

bool LinearAlgebra::Invert	(	const CFloatMatrix *	pInputMatrix,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 758 of file LinearAlgebra.cpp.

bool LinearAlgebra::Invert	(	const CDoubleMatrix *	pInputMatrix,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1352 of file LinearAlgebra.cpp.

void LinearAlgebra::MulMatMat	(	const CFloatMatrix *	A,
		const CFloatMatrix *	B,
		CFloatMatrix *	pResultMatrix,
		bool	bTransposeB = `false`
	)

Definition at line 136 of file LinearAlgebra.cpp.

void LinearAlgebra::MulMatMat	(	const CDoubleMatrix *	pMatrix1,
		const CDoubleMatrix *	pMatrix2,
		CDoubleMatrix *	pResultMatrix,
		bool	bTransposeB = `false`
	)

Definition at line 950 of file LinearAlgebra.cpp.

void LinearAlgebra::MulMatVec	(	const CFloatMatrix *	pMatrix,
		const CFloatVector *	pVector,
		CFloatVector *	pResultVector
	)

Definition at line 292 of file LinearAlgebra.cpp.

void LinearAlgebra::MulMatVec	(	const CFloatMatrix *	pMatrix,
		const CFloatVector *	pVector1,
		const CFloatVector *	pVector2,
		CFloatVector *	pResultVector
	)

Definition at line 340 of file LinearAlgebra.cpp.

void LinearAlgebra::MulMatVec	(	const CDoubleMatrix *	pMatrix,
		const CDoubleVector *	pVector,
		CDoubleVector *	pResultVector
	)

Definition at line 1106 of file LinearAlgebra.cpp.

void LinearAlgebra::MulMatVec	(	const CDoubleMatrix *	pMatrix,
		const CDoubleVector *	pVector1,
		const CDoubleVector *	pVector2,
		CDoubleVector *	pResultVector
	)

Definition at line 1154 of file LinearAlgebra.cpp.

void LinearAlgebra::PCA	(	const CFloatMatrix *	pData,
		CFloatMatrix *	pTransformationMatrix,
		CFloatMatrix *	pTransformedData,
		int	nTargetDimension
	)

Definition at line 682 of file LinearAlgebra.cpp.

void LinearAlgebra::PCA	(	const CFloatMatrix *	pData,
		CFloatMatrix *	pTransformationMatrix,
		CFloatMatrix *	pEigenValues
	)

Definition at line 728 of file LinearAlgebra.cpp.

void LinearAlgebra::SelfProduct	(	const CFloatMatrix *	pMatrix,
		CFloatMatrix *	pResultMatrix,
		bool	AAT = `false`
	)

Definition at line 68 of file LinearAlgebra.cpp.

void LinearAlgebra::SelfProduct	(	const CDoubleMatrix *	pMatrix,
		CDoubleMatrix *	pResultMatrix,
		bool	AAT = `false`
	)

Definition at line 882 of file LinearAlgebra.cpp.

void LinearAlgebra::SolveLinearLeastSquaresHomogeneousSVD	(	const CFloatMatrix *	A,
		CFloatVector *	x
	)

Definition at line 538 of file LinearAlgebra.cpp.

void LinearAlgebra::SolveLinearLeastSquaresHomogeneousSVD	(	const CDoubleMatrix *	A,
		CDoubleVector *	x
	)

Definition at line 1459 of file LinearAlgebra.cpp.

bool LinearAlgebra::SolveLinearLeastSquaresSimple	(	const CFloatMatrix *	A,
		const CFloatVector *	b,
		CFloatVector *	x
	)

Definition at line 582 of file LinearAlgebra.cpp.

bool LinearAlgebra::SolveLinearLeastSquaresSimple	(	const CDoubleMatrix *	A,
		const CDoubleVector *	b,
		CDoubleVector *	x
	)

Definition at line 1503 of file LinearAlgebra.cpp.

void LinearAlgebra::SolveLinearLeastSquaresSVD	(	const CFloatMatrix *	A,
		const CFloatVector *	b,
		CFloatVector *	x
	)

Definition at line 563 of file LinearAlgebra.cpp.

void LinearAlgebra::SolveLinearLeastSquaresSVD	(	const CDoubleMatrix *	A,
		const CDoubleVector *	b,
		CDoubleVector *	x
	)

Definition at line 1484 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractFromMat	(	CFloatMatrix *	pMatrix,
		const CFloatMatrix *	pMatrixToSubtract
	)

Definition at line 432 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractFromMat	(	CDoubleMatrix *	pMatrix,
		const CDoubleMatrix *	pMatrixToSubtract
	)

Definition at line 1246 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractFromVec	(	CFloatVector *	pVector,
		const CFloatVector *	pVectorToSubtract
	)

Definition at line 464 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractFromVec	(	CDoubleVector *	pVector,
		const CDoubleVector *	pVectorToSubtract
	)

Definition at line 1278 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractMatMat	(	const CFloatMatrix *	pMatrix1,
		const CFloatMatrix *	pMatrix2,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 364 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractMatMat	(	const CDoubleMatrix *	pMatrix1,
		const CDoubleMatrix *	pMatrix2,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1178 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractMeanFromColumns	(	const CFloatMatrix *	pMatrix,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 481 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractMeanFromColumns	(	const CDoubleMatrix *	pMatrix,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1295 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractMeanFromRows	(	const CFloatMatrix *	pMatrix,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 510 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractMeanFromRows	(	const CDoubleMatrix *	pMatrix,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1324 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractVecVec	(	const CFloatVector *	pVector1,
		const CFloatVector *	pVector2,
		CFloatVector *	pResultVector
	)

Definition at line 399 of file LinearAlgebra.cpp.

void LinearAlgebra::SubtractVecVec	(	const CDoubleVector *	pVector1,
		const CDoubleVector *	pVector2,
		CDoubleVector *	pResultVector
	)

Definition at line 1213 of file LinearAlgebra.cpp.

void LinearAlgebra::SVD	(	const CFloatMatrix *	A,
		CFloatMatrix *	W,
		CFloatMatrix *	U = `0`,
		CFloatMatrix *	V = `0`,
		bool	bAllowModifyA = `false`,
		bool	bReturnUTransposed = `false`,
		bool	bReturnVTransposed = `false`
	)

Definition at line 1660 of file SVD.cpp.

void LinearAlgebra::SVD	(	const CDoubleMatrix *	A,
		CDoubleMatrix *	W,
		CDoubleMatrix *	U = `0`,
		CDoubleMatrix *	V = `0`,
		bool	bAllowModifyA = `false`,
		bool	bReturnUTransposed = `false`,
		bool	bReturnVTransposed = `false`
	)

Definition at line 1697 of file SVD.cpp.

void LinearAlgebra::Transpose	(	const CFloatMatrix *	pMatrix,
		CFloatMatrix *	pResultMatrix
	)

Definition at line 254 of file LinearAlgebra.cpp.

void LinearAlgebra::Transpose	(	const CDoubleMatrix *	pMatrix,
		CDoubleMatrix *	pResultMatrix
	)

Definition at line 1068 of file LinearAlgebra.cpp.

void LinearAlgebra::Zero ( CFloatMatrix * pMatrix )

Definition at line 865 of file LinearAlgebra.cpp.

void LinearAlgebra::Zero ( CFloatVector * pVector )

Definition at line 870 of file LinearAlgebra.cpp.

void LinearAlgebra::Zero ( CDoubleMatrix * pMatrix )

Definition at line 1608 of file LinearAlgebra.cpp.

void LinearAlgebra::Zero ( CDoubleVector * pVector )

Definition at line 1603 of file LinearAlgebra.cpp.

Functions

Detailed Description

Function Documentation