#include <vpForceTwistMatrix.h>

Inheritance diagram for vpForceTwistMatrix:

Public Member Functions
	vpForceTwistMatrix ()
	vpForceTwistMatrix (const vpForceTwistMatrix &F)
VP_EXPLICIT	vpForceTwistMatrix (const vpHomogeneousMatrix &M, bool full=true)
	vpForceTwistMatrix (const vpTranslationVector &t, const vpRotationMatrix &R)
	vpForceTwistMatrix (const vpTranslationVector &t, const vpThetaUVector &thetau)
	vpForceTwistMatrix (double tx, double ty, double tz, double tux, double tuy, double tuz)
VP_EXPLICIT	vpForceTwistMatrix (const vpRotationMatrix &R)
VP_EXPLICIT	vpForceTwistMatrix (const vpThetaUVector &thetau)
vpForceTwistMatrix &	buildFrom (const vpTranslationVector &t, const vpRotationMatrix &R)
vpForceTwistMatrix &	buildFrom (const vpTranslationVector &t, const vpThetaUVector &thetau)
vpForceTwistMatrix &	buildFrom (const vpHomogeneousMatrix &M, bool full=true)
vpForceTwistMatrix &	buildFrom (const vpRotationMatrix &R)
vpForceTwistMatrix &	buildFrom (const vpThetaUVector &thetau)
void	eye ()
vpForceTwistMatrix	operator* (const vpForceTwistMatrix &F) const
vpMatrix	operator* (const vpMatrix &M) const
vpColVector	operator* (const vpColVector &H) const
vpForceTwistMatrix &	operator= (const vpForceTwistMatrix &H)
int	print (std::ostream &s, unsigned int length, char const *intro=nullptr) const
VP_NORETURN void	resize (unsigned int nrows, unsigned int ncols, bool flagNullify=true)
Inherited functionalities from vpArray2D
unsigned int	getCols () const
double	getMaxValue () const
double	getMinValue () const
unsigned int	getRows () const
unsigned int	size () const
void	resize (unsigned int nrows, unsigned int ncols, bool flagNullify=true, bool recopy_=true)
void	reshape (unsigned int nrows, unsigned int ncols)
void	insert (const vpArray2D< double > &A, unsigned int r, unsigned int c)
bool	operator!= (const vpArray2D< double > &A) const
double *	operator[] (unsigned int i)
vpArray2D< double >	hadamard (const vpArray2D< double > &m) const
vpArray2D< double >	t () const

Static Public Member Functions
static vpArray2D< double >	view (const vpArray2D< double > &A)

Public Attributes
double *	data

Related Symbols
(Note that these are not member symbols.)
bool	operator== (const vpArray2D< double > &A) const
bool	operator== (const vpArray2D< float > &A) const
void	vpGEMM (const vpArray2D< double > &A, const vpArray2D< double > &B, const double &alpha, const vpArray2D< double > &C, const double &beta, vpArray2D< double > &D, const unsigned int &ops=0)
enum	vpGEMMmethod

Inherited I/O from vpArray2D with Static Public Member Functions
unsigned int	rowNum
unsigned int	colNum
double **	rowPtrs
unsigned int	dsize
bool	isMemoryOwner
bool	isRowPtrsOwner
static bool	load (const std::string &filename, vpArray2D< double > &A, bool binary=false, char *header=nullptr)
static bool	loadYAML (const std::string &filename, vpArray2D< double > &A, char *header=nullptr)
static bool	save (const std::string &filename, const vpArray2D< double > &A, bool binary=false, const char *header="")
static bool	saveYAML (const std::string &filename, const vpArray2D< double > &A, const char *header="")
static vpArray2D< double >	conv2 (const vpArray2D< double > &M, const vpArray2D< double > &kernel, const std::string &mode)
static bool	isFinite (const vpArray2D< double > &A)

Detailed Description

This class derived from vpArray2D<double> implements the 6 by 6 matrix which transforms force/torque from one frame to another. This matrix is also called force/torque twist transformation matrix.

The full force/torque twist transformation matrix allows to compute the force/torque at point a expressed in frame a knowing its force/torque at point b expressed in frame b. This matrix is defined as:

$\‍[^a{\bf F}_b = \left[ \begin{array}{cc} ^a{\bf R}_b & {\bf 0}_{3\times 3}\\ {[^a{\bf t}_b]}_{\times} \; ^a{\bf R}_b & ^a{\bf R}_b \end{array} \right] \‍]$

where $^a{\bf R}_b$ is a rotation matrix and $^a{\bf t}_b$ is a translation vector.

There are different ways to initialize such a full force/torque twist matrix. The following example shows how to proceed setting the translation and rotation matrix transformations:

#include <visp3/core/vpForceTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpTranslationVector stp(0.1, 0.2, 0.3);
  vpRotationMatrix sRp( {0,  0, -1,
                        0, -1,  0,
                        -1,  0,  0} );
  vpForceTwistMatrix sFp(stp, sRp);
  std::cout << "sFp:\n" << sFp << std::endl;
}

It produces the following printings:

sFp:
0  0  -1  0  0  0
0  -1  0  0  0  0
-1  0  0  0  0  0
-0.2  0.3  0  0  0  -1
0.1  0  -0.3  0  -1  0
0  -0.1  0.2  -1  0  0

When the point where the velocity is expressed doesn't change, the matrix becomes block diagonal. It allows than to compute the force/torque at point b expressed in frame a knowing its force/torque at point b expressed in frame b :

$\‍[^a{\bf F}_b = \left[ \begin{array}{cc} ^a{\bf R}_b & {\bf 0}_{3\times 3}\\ {\bf 0}_{3\times 3} & ^a{\bf R}_b \end{array} \right] \‍]$

To initialize such a force/torque twist matrix where translation is not taken into account you can proceed like in the following code:

#include <visp3/core/vpForceTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpRotationMatrix sRp( {0,  0, -1,
                        0, -1,  0,
                        -1,  0,  0} );
  vpForceTwistMatrix sFp(sRp);
  std::cout << "sFp:\n" << sFp << std::endl;
}

It produces the following printings:

sFp:
0  -1  0  0  0
-1  0  0  0  0
-1  0  0  0  0  0
0  0  0  0  -1
0  0  0  -1  0
0  0  -1  0  0

The code belows shows for example how to convert a force/torque skew from probe frame to a sensor frame.

#include <visp3/core/vpColVector.h>
#include <visp3/core/vpForceTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  // Twist transformation matrix from sensor to probe frame
  vpForceTwistMatrix sFp;
 
  // Force/torque sensor frame to probe frame transformation
  vpHomogeneousMatrix sMp;
  // ... sMp need here to be initialized
 
  sFp.buildFrom(sMp);
 
  // Force/torque skew in the probe frame: fx,fy,fz,tx,ty,tz
  vpColVector p_H(6);
  // ... p_H should here have an initial value
 
  // Force/torque skew in the sensor frame: fx,fy,fz,tx,ty,tz
  vpColVector s_H(6);
 
  // Compute the value of the force/torque in the sensor frame
  s_H = sFp * p_H;
}

Examples: perfMatrixMultiplication.cpp, and testVirtuoseHapticBox.cpp.

Definition at line 181 of file vpForceTwistMatrix.h.

Constructor & Destructor Documentation

◆ vpForceTwistMatrix() [1/8]

vpForceTwistMatrix::vpForceTwistMatrix ( )

Initialize a force/torque twist transformation matrix to identity.

Definition at line 91 of file vpForceTwistMatrix.cpp.

References eye(), and vpArray2D< double >::vpArray2D().

Referenced by buildFrom(), buildFrom(), buildFrom(), buildFrom(), buildFrom(), operator*(), operator=(), and vpForceTwistMatrix().

◆ vpForceTwistMatrix() [2/8]

vpForceTwistMatrix::vpForceTwistMatrix ( const vpForceTwistMatrix & F )

Initialize a force/torque twist transformation matrix from another force/torque twist matrix.

Parameters

F	: Force/torque twist matrix used as initializer.

Definition at line 100 of file vpForceTwistMatrix.cpp.

References vpArray2D< double >::vpArray2D(), and vpForceTwistMatrix().

◆ vpForceTwistMatrix() [3/8]

vpForceTwistMatrix::vpForceTwistMatrix	(	const vpHomogeneousMatrix &	M,
		bool	full = true )

Initialize a force/torque twist transformation matrix from an homogeneous matrix with

$\‍[ {\bf M} = \left[\begin{array}{cc} {\bf R} & {\bf t} \\ {\bf 0}_{1\times 3} & 1 \end{array} \right] \‍]$

Parameters

M : Homogeneous matrix $\bf M$ used to initialize the twist transformation matrix.

full

: Boolean used to indicate which matrix should be filled.

When set to true, use the complete force/torque skew transformation:
$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$
When set to false, use the block diagonal velocity skew transformation:
$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {{\bf 0}_{3 \times 3}} & {\bf R} \end{array} \right] \‍]$

Definition at line 131 of file vpForceTwistMatrix.cpp.

References buildFrom(), vpHomogeneousMatrix::getRotationMatrix(), and vpArray2D< double >::vpArray2D().

◆ vpForceTwistMatrix() [4/8]

vpForceTwistMatrix::vpForceTwistMatrix	(	const vpTranslationVector &	t,
		const vpRotationMatrix &	R )

Initialize a force/torque twist transformation matrix from a translation vector t and a rotation matrix R.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
R	: Rotation matrix.

Definition at line 204 of file vpForceTwistMatrix.cpp.

References buildFrom(), vpArray2D< double >::t(), and vpArray2D< double >::vpArray2D().

◆ vpForceTwistMatrix() [5/8]

vpForceTwistMatrix::vpForceTwistMatrix	(	const vpTranslationVector &	t,
		const vpThetaUVector &	thetau )

Initialize a force/torque twist transformation matrix from a translation vector t and a rotation vector with $\theta u$ parametrization.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
thetau	: $\theta u$ rotation vector used to initialize .

Definition at line 160 of file vpForceTwistMatrix.cpp.

References buildFrom(), vpArray2D< double >::t(), and vpArray2D< double >::vpArray2D().

◆ vpForceTwistMatrix() [6/8]

vpForceTwistMatrix::vpForceTwistMatrix	(	double	tx,
		double	ty,
		double	tz,
		double	tux,
		double	tuy,
		double	tuz )

Initialize a force/torque twist transformation matrix from a translation vector ${\bf t}=(t_x, t_y, t_z)^T$ and a rotation vector with $\theta {\bf u}=(\theta u_x, \theta u_y, \theta u_z)^T$ parametrization.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$

Parameters

[in]	tx	: Value along X-axis of the translation vector in meters.
[in]	ty	: Value along Y-axis of the translation vector in meters.
[in]	tz	: Value along Z-axis of the translation vector in meters.
	tux	: Value along X-axis of the $\theta {\bf u}$ rotation vector expressed in radians and used to initialize the ratational matrix .
	tuy	: Value along Y-axis of the $\theta {\bf u}$ rotation vector expressed in radians and used to initialize the ratational matrix .
	tuz	: Value along Z-axis of the $\theta {\bf u}$ rotation vector expressed in radians and used to initialize the ratational matrix .

Definition at line 255 of file vpForceTwistMatrix.cpp.

References buildFrom(), and vpArray2D< double >::vpArray2D().

◆ vpForceTwistMatrix() [7/8]

vpForceTwistMatrix::vpForceTwistMatrix ( const vpRotationMatrix & R )

Initialize a force/torque block diagonal twist transformation matrix from a rotation matrix R.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {{\bf 0}_{3 \times 3}} & {\bf R} \end{array} \right] \‍]$

Parameters

R	: Rotation matrix.

Definition at line 227 of file vpForceTwistMatrix.cpp.

References buildFrom(), and vpArray2D< double >::vpArray2D().

◆ vpForceTwistMatrix() [8/8]

vpForceTwistMatrix::vpForceTwistMatrix ( const vpThetaUVector & thetau )

Initialize a force/torque block diagonal twist transformation matrix from a rotation vector with $\theta u$ parametrization.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {{\bf 0}_{3 \times 3}} & {\bf R} \end{array} \right] \‍]$

Parameters

thetau : $\theta u$ rotation vector used to initialize .

Definition at line 183 of file vpForceTwistMatrix.cpp.

References buildFrom(), and vpArray2D< double >::vpArray2D().

Member Function Documentation

◆ buildFrom() [1/5]

vpForceTwistMatrix & vpForceTwistMatrix::buildFrom	(	const vpHomogeneousMatrix &	M,
		bool	full = true )

Initialize a force/torque twist transformation matrix from an homogeneous matrix with

$\‍[ {\bf M} = \left[\begin{array}{cc} {\bf R} & {\bf t} \\ {\bf 0}_{1\times 3} & 1 \end{array} \right] \‍]$

Parameters

M : Homogeneous matrix used to initialize the velocity twist transformation matrix.

full

: Boolean used to indicate which matrix should be filled.

When set to true, use the complete force/torque skew transformation:
$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$
When set to false, use the block diagonal velocity skew transformation:
$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {{\bf 0}_{3 \times 3}} & {\bf R} \end{array} \right] \‍]$

Definition at line 540 of file vpForceTwistMatrix.cpp.

References buildFrom(), vpHomogeneousMatrix::getRotationMatrix(), vpHomogeneousMatrix::getTranslationVector(), and vpForceTwistMatrix().

◆ buildFrom() [2/5]

vpForceTwistMatrix & vpForceTwistMatrix::buildFrom ( const vpRotationMatrix & R )

Build a block diagonal force/torque twist transformation matrix from a rotation matrix R.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {{\bf 0}_{3 \times 3}} & {\bf R} \end{array} \right] \‍]$

Parameters

R	: Rotation matrix.

Definition at line 451 of file vpForceTwistMatrix.cpp.

References vpForceTwistMatrix().

◆ buildFrom() [3/5]

vpForceTwistMatrix & vpForceTwistMatrix::buildFrom ( const vpThetaUVector & thetau )

Initialize a force/torque block diagonal twist transformation matrix from a rotation vector with $\theta u$ parametrization.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {{\bf 0}_{3 \times 3}} & {\bf R} \end{array} \right] \‍]$

Parameters

thetau : $\theta {\bf u}$ rotation vector used to initialise $\bf R$ .

Definition at line 507 of file vpForceTwistMatrix.cpp.

References buildFrom(), and vpForceTwistMatrix().

◆ buildFrom() [4/5]

vpForceTwistMatrix & vpForceTwistMatrix::buildFrom	(	const vpTranslationVector &	t,
		const vpRotationMatrix &	R )

Build a force/torque twist transformation matrix from a translation vector t and a rotation matrix R.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
R	: Rotation matrix.

Definition at line 419 of file vpForceTwistMatrix.cpp.

References vpArray2D< double >::t(), and vpForceTwistMatrix().

Referenced by buildFrom(), buildFrom(), buildFrom(), vpForceTwistMatrix(), vpForceTwistMatrix(), vpForceTwistMatrix(), vpForceTwistMatrix(), vpForceTwistMatrix(), and vpForceTwistMatrix().

◆ buildFrom() [5/5]

vpForceTwistMatrix & vpForceTwistMatrix::buildFrom	(	const vpTranslationVector &	tv,
		const vpThetaUVector &	thetau )

Initialize a force/torque twist transformation matrix from a translation vector t and a rotation vector with $\theta u$ parametrization.

$\‍[{\bf F} = \left[ \begin{array}{cc} {\bf R} & {\bf 0}_{3 \times 3} \\ {[{\bf t}]}_{\times} \; {\bf R} & {\bf R} \end{array} \right] \‍]$

Parameters

tv	: Translation vector.
thetau	: $\theta {\bf u}$ rotation vector used to initialise $\bf R$ .

Definition at line 484 of file vpForceTwistMatrix.cpp.

References buildFrom(), and vpForceTwistMatrix().

◆ conv2()

vpArray2D< double > vpArray2D< double >::conv2	(	const vpArray2D< double > &	M,
		const vpArray2D< double > &	kernel,
		const std::string &	mode )

staticinherited

Perform a 2D convolution similar to Matlab conv2 function: $M \star kernel$ .

Parameters

M	: First matrix.
kernel	: Second matrix.
mode	: Convolution mode: "full" (default), "same", "valid".

Convolution mode: full, same, valid (image credit: Theano doc).

Note: This is a very basic implementation that does not use FFT.

Definition at line 1142 of file vpArray2D.h.

References vpArray2D().

◆ eye()

void vpForceTwistMatrix::eye ( )

Initialize the force/torque 6 by 6 twist matrix to identity.

Definition at line 73 of file vpForceTwistMatrix.cpp.

Referenced by vpForceTwistMatrix().

◆ getCols()

unsigned int vpArray2D< double >::getCols ( ) const

inlineinherited

Return the number of columns of the 2D array.

See also: getRows(), size()

Examples: catchLuminanceMapping.cpp, catchMatrixCholesky.cpp, catchPoseVector.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, servoViper850Point2DArtVelocity-jointAvoidance-basic.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixConvolution.cpp, testMatrixDeterminant.cpp, testMatrixInitialization.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 423 of file vpArray2D.h.

Referenced by vpMatrix::choleskyByEigen3(), vpMatrix::choleskyByLapack(), vpMatrix::choleskyByOpenCV(), vpMatrix::cond(), vpMatrix::cppPrint(), vpRowVector::cppPrint(), vpMatrix::csvPrint(), vpRowVector::csvPrint(), vpMatrix::detByLUEigen3(), vpMatrix::extract(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpRotationMatrix::getCol(), vpMatrix::inducedL2Norm(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByQRLapack(), vpRotationMatrix::isARotationMatrix(), vpMatrix::kernel(), vpMatrix::maplePrint(), vpRowVector::maplePrint(), vpMatrix::matlabPrint(), vpRowVector::matlabPrint(), vpMatrix::nullSpace(), vpMatrix::nullSpace(), vpRowVector::operator*(), vpRowVector::operator+(), vpRowVector::operator+=(), vpRowVector::operator-(), vpRowVector::operator-=(), vpForceTwistMatrix::print(), vpMatrix::print(), vpRowVector::print(), vpVelocityTwistMatrix::print(), vpMatrix::row(), vpMatrix::svdEigen3(), vpMatrix::svdLapack(), vpMatrix::svdOpenCV(), vpRowVector::vpRowVector(), and vpRowVector::vpRowVector().

◆ getMaxValue()

double vpArray2D< double >::getMaxValue ( ) const

inherited

Return the array max value.

Examples: servoMomentImage.cpp.

Definition at line 425 of file vpArray2D.h.

◆ getMinValue()

double vpArray2D< double >::getMinValue ( ) const

inherited

Return the array min value.

Examples: servoMomentImage.cpp.

Definition at line 427 of file vpArray2D.h.

◆ getRows()

unsigned int vpArray2D< double >::getRows ( ) const

inlineinherited

Return the number of rows of the 2D array.

See also: getCols(), size()

Examples: catchLuminanceMapping.cpp, catchMatrixCholesky.cpp, catchParticleFilter.cpp, catchPoseVector.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixConvolution.cpp, testMatrixDeterminant.cpp, testMatrixInitialization.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 433 of file vpArray2D.h.

◆ hadamard()

vpArray2D< double > vpArray2D< double >::hadamard ( const vpArray2D< double > & m ) const

inherited

Compute the Hadamard product (element wise matrix multiplication).

Parameters

m	: Second matrix;

Returns: m1.hadamard(m2) The Hadamard product : $m1 \circ m2 = (m1 \circ m2)_{i,j} = (m1)_{i,j} (m2)_{i,j}$

Definition at line 732 of file vpArray2D.h.

References vpArray2D().

◆ insert()

void vpArray2D< double >::insert	(	const vpArray2D< double > &	A,
		unsigned int	r,
		unsigned int	c )

inlineinherited

Insert array A at the given position in the current array.

Warning: Throw vpException::dimensionError if the dimensions of the matrices do not allow the operation.

Parameters

A	: The array to insert.
r	: The index of the row to begin to insert data.
c	: The index of the column to begin to insert data.

Definition at line 586 of file vpArray2D.h.

◆ isFinite()

bool vpArray2D< double >::isFinite ( const vpArray2D< double > & A )

inlinestaticinherited

Definition at line 1188 of file vpArray2D.h.

◆ load()

bool vpArray2D< double >::load	(	const std::string &	filename,
		vpArray2D< double > &	A,
		bool	binary = false,
		char *	header = nullptr )

inlinestaticinherited

Load a matrix from a file.

Parameters

filename	: Absolute file name.
A	: Array to be loaded
binary	: If true the matrix is loaded from a binary file, else from a text file.
header	: Header of the file is loaded in this parameter.

Returns: Returns true if success.

See also: save()

Definition at line 760 of file vpArray2D.h.

◆ loadYAML()

bool vpArray2D< double >::loadYAML	(	const std::string &	filename,
		vpArray2D< double > &	A,
		char *	header = nullptr )

inlinestaticinherited

Load an array from a YAML-formatted file.

Parameters

filename	: absolute file name.
A	: array to be loaded from the file.
header	: header of the file is loaded in this parameter.

Returns: Returns true on success.

See also: saveYAML()

Examples: servoFlirPtuIBVS.cpp, servoFrankaIBVS-EyeToHand-Lcur_cVe_eJe.cpp, servoFrankaIBVS-EyeToHand-Lcur_cVf_fVe_eJe.cpp, servoFrankaIBVS-EyeToHand-Ldes_cVf_fVe_eJe.cpp, servoFrankaIBVS.cpp, servoFrankaPBVS.cpp, servoUniversalRobotsIBVS.cpp, servoUniversalRobotsPBVS.cpp, tutorial-flir-ptu-ibvs.cpp, tutorial-hsv-segmentation-pcl-viewer.cpp, tutorial-hsv-segmentation-pcl.cpp, tutorial-hsv-segmentation.cpp, visp-compute-eye-in-hand-calibration.cpp, and visp-compute-eye-to-hand-calibration.cpp.

Definition at line 874 of file vpArray2D.h.

◆ operator!=()

bool operator!= ( const vpArray2D< double > & A ) const

inherited

Not equal to comparison operator of a 2D array.

Definition at line 612 of file vpArray2D.h.

References vpArray2D().

◆ operator*() [1/3]

vpColVector vpForceTwistMatrix::operator* ( const vpColVector & H ) const

Operator that allows to multiply a force/torque skew transformation matrix by a column vector.

Parameters

H	: Force/torque skew vector ${\bf H} = [f_x, f_y, f_z, \tau_x, \tau_y, \tau_z]$ .

For example, this operator can be used to convert a force/torque skew from sensor frame into the probe frame :

$\‍[{^p}{\bf H}_{p} = {^p}{\bf F}_s \; {^s}{\bf H}_s\‍]$

The example below shows how to handle that transformation.

#include <visp3/core/vpColVector.h>
#include <visp3/core/vpForceTwistMatrix.h>
#include <visp3/robot/vpRobotViper850.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
#ifdef VISP_HAVE_VIPER850
  vpRobotViper850 robot;
  vpColVector sH = robot.getForceTorque(); // Get the force/torque measures
 
  // Set the transformation from sensor frame to the probe frame
  vpHomogeneousMatrix pMs;
  pMs[2][3] = -0.262; // tz only
 
  // Set the force/torque twist transformation
  vpForceTwistMatrix pFs(pMs); // Twist transformation matrix from probe to sensor frame
 
  // Compute the resulting force/torque in the probe frame
  vpColVector pH(6); // Force/torque in the probe frame
  pH = pFs * sH;
#endif
}

Exceptions

vpException::dimensionError If $\bf H$ is not a 6 dimension vector.

Definition at line 377 of file vpForceTwistMatrix.cpp.

References vpException::dimensionError, vpArray2D< Type >::getRows(), and vpArray2D< double >::rowPtrs.

◆ operator*() [2/3]

vpForceTwistMatrix vpForceTwistMatrix::operator* ( const vpForceTwistMatrix & F ) const

Operator that allows to multiply a force/torque twist transformation matrix by an other force/torque skew transformation matrix.

#include <visp3/core/vpForceTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpForceTwistMatrix aFb, bFc;
  // ... initialize the force/torque twist transformations aFb and bFc
  // Compute the force/torque transformation from frame a to c
  vpForceTwistMatrix aFc = aFb * bFc;
}

Definition at line 285 of file vpForceTwistMatrix.cpp.

References vpArray2D< Type >::rowPtrs, vpArray2D< double >::rowPtrs, and vpForceTwistMatrix().

◆ operator*() [3/3]

vpMatrix vpForceTwistMatrix::operator* ( const vpMatrix & M ) const

Operator that allows to multiply a force/torque skew transformation matrix by a matrix.

Exceptions

vpException::dimensionError : If $\bf M$ is not a 6 rows dimension matrix.

Definition at line 308 of file vpForceTwistMatrix.cpp.

References vpException::dimensionError, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), and vpArray2D< double >::rowPtrs.

◆ operator=()

vpForceTwistMatrix & vpForceTwistMatrix::operator= ( const vpForceTwistMatrix & M )

Copy operator.

Parameters

M	: Force/torque twist matrix to copy.

Definition at line 58 of file vpForceTwistMatrix.cpp.

References vpArray2D< Type >::rowPtrs, vpArray2D< double >::rowPtrs, and vpForceTwistMatrix().

◆ operator[]()

double * vpArray2D< double >::operator[] ( unsigned int i )

inlineinherited

Set element $A_{ij} = x$ using A[i][j] = x.

Definition at line 696 of file vpArray2D.h.

◆ print()

int vpForceTwistMatrix::print	(	std::ostream &	s,
		unsigned int	length,
		char const *	intro = nullptr ) const

Pretty print a force/torque twist matrix. The data are tabulated. The common widths before and after the decimal point are set with respect to the parameter maxlen.

Parameters

s	Stream used for the printing.
length	The suggested width of each matrix element. The actual width grows in order to accommodate the whole integral part, and shrinks if the whole extent is not needed for all the numbers.
intro	The introduction which is printed before the matrix. Can be set to zero (or omitted), in which case the introduction is not printed.

Returns: Returns the common total width for all matrix elements

See also: std::ostream &operator <<(ostream &s,const vpMatrix &m)

Definition at line 571 of file vpForceTwistMatrix.cpp.

References vpArray2D< double >::getCols(), vpArray2D< double >::getRows(), vpMath::maximum(), and vpArray2D< double >::size().

◆ reshape()

void vpArray2D< double >::reshape	(	unsigned int	nrows,
		unsigned int	ncols )

inlineinherited

Examples: testMatrixInitialization.cpp.

Definition at line 545 of file vpArray2D.h.

◆ resize() [1/2]

void vpArray2D< double >::resize	(	unsigned int	nrows,
		unsigned int	ncols,
		bool	flagNullify = true,
		bool	recopy_ = true )

inlineinherited

Set the size of the array and initialize all the values to zero.

Parameters

nrows	: number of rows.
ncols	: number of column.
flagNullify	: if true, then the array is re-initialized to 0 after resize. If false, the initial values from the common part of the array (common part between old and new version of the array) are kept. Default value is true.
recopy_	: if true, will perform an explicit recopy of the old data.

Examples: catchParticleFilter.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixDeterminant.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 448 of file vpArray2D.h.

Referenced by vpMatrix::diag(), vpMatrix::eye(), vpMatrix::init(), vpMatrix::operator,(), vpMatrix::operator<<(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::stack(), vpMatrix::stack(), vpMatrix::stack(), vpMatrix::svdEigen3(), and vpMatrix::svdOpenCV().

◆ resize() [2/2]

VP_NORETURN void vpForceTwistMatrix::resize	(	unsigned int	nrows,
		unsigned int	ncols,
		bool	flagNullify = true )

inline

This function is not applicable to a velocity twist matrix that is always a 6-by-6 matrix.

Exceptions

vpException::fatalError When this function is called.

Definition at line 225 of file vpForceTwistMatrix.h.

References vpException::fatalError.

◆ save()

bool vpArray2D< double >::save	(	const std::string &	filename,
		const vpArray2D< double > &	A,
		bool	binary = false,
		const char *	header = "" )

inlinestaticinherited

Save a matrix to a file.

Parameters

filename	: Absolute file name.
A	: Array to be saved.
binary	: If true the matrix is saved in a binary file, else a text file.
header	: Optional line that will be saved at the beginning of the file.

Returns: Returns true if success.

Warning : If you save the matrix as in a text file the precision is less than if you save it in a binary file.

See also: load()

Definition at line 965 of file vpArray2D.h.

◆ saveYAML()

bool vpArray2D< double >::saveYAML	(	const std::string &	filename,
		const vpArray2D< double > &	A,
		const char *	header = "" )

inlinestaticinherited

Save an array in a YAML-formatted file.

Parameters

filename	: absolute file name.
A	: array to be saved in the file.
header	: optional lines that will be saved at the beginning of the file. Should be YAML-formatted and will adapt to the indentation if any.

Returns: Returns true if success.

Here is an example of outputs.

vpArray2D<double> M(3,4);
vpArray2D::saveYAML("matrix.yml", M, "example: a YAML-formatted header");
vpArray2D::saveYAML("matrixIndent.yml", M, "example:\n    - a YAML-formatted \
header\n    - with inner indentation");

Content of matrix.yml:

example: a YAML-formatted header
rows: 3
cols: 4
data:
  - [0, 0, 0, 0]
  - [0, 0, 0, 0]
  - [0, 0, 0, 0]

Content of matrixIndent.yml:

example:
    - a YAML-formatted header
    - with inner indentation
rows: 3
cols: 4
data:
    - [0, 0, 0, 0]
    - [0, 0, 0, 0]
    - [0, 0, 0, 0]

See also: loadYAML()

Examples: visp-acquire-franka-calib-data.cpp, and visp-acquire-universal-robots-calib-data.cpp.

Definition at line 1061 of file vpArray2D.h.

◆ size()

unsigned int vpArray2D< double >::size ( ) const

inlineinherited

Return the number of elements of the 2D array.

Examples: catchLuminanceMapping.cpp, catchParticleFilter.cpp, catchPoseVector.cpp, catchRotation.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixInitialization.cpp, testRobotViper650-frames.cpp, testRobotViper850-frames.cpp, testTukeyEstimator.cpp, testUniversalRobotsGetData.cpp, tutorial-ibvs-4pts-wireframe-robot-afma6.cpp, tutorial-ibvs-4pts-wireframe-robot-viper.cpp, tutorial-pf.cpp, tutorial-ukf.cpp, ukf-nonlinear-complex-example.cpp, and ukf-nonlinear-example.cpp.

Definition at line 435 of file vpArray2D.h.

Referenced by vpHomogeneousMatrix::isValid(), vpColVector::operator*(), vpHomogeneousMatrix::operator,(), vpRotationMatrix::operator,(), vpRotationVector::operator,(), vpTranslationVector::operator,(), vpQuaternionVector::operator=(), vpRxyzVector::operator=(), vpRzyxVector::operator=(), vpRzyzVector::operator=(), vpThetaUVector::operator=(), vpThetaUVector::operator=(), vpTranslationVector::operator=(), vpForceTwistMatrix::print(), vpMatrix::print(), vpVelocityTwistMatrix::print(), vpMatrix::stack(), vpColVector::toStdVector(), vpPoseVector::toStdVector(), vpRotationVector::toStdVector(), vpRowVector::toStdVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpRowVector::vpRowVector(), and vpRowVector::vpRowVector().

◆ t()

vpArray2D< double > vpArray2D< double >::t ( ) const

inherited

Compute the transpose of the array.

Returns: vpArray2D<Type> C = A^T

Examples: visp-compute-eye-in-hand-calibration.cpp, and visp-compute-eye-to-hand-calibration.cpp.

Definition at line 739 of file vpArray2D.h.

References vpArray2D().

◆ view()

vpArray2D< double > vpArray2D< double >::view ( const vpArray2D< double > & A )

inlinestaticinherited

Creates a view of the Matrix A. A view shares the same underlying memory as the original array. It can be written into, modifying the original data. However, the array cannot be resized.

When you use this method, it is your responsibility to ensure that the lifespan of the view does not exceed the lifespan of the original array.

Parameters

A	the array to view

Returns: vpArray2D<T>

Definition at line 324 of file vpArray2D.h.

◆ operator==() [1/2]

bool operator== ( const vpArray2D< double > & A ) const

Definition at line 1420 of file vpArray2D.h.

References vpArray2D< Type >::colNum, colNum, vpArray2D< Type >::data, data, vpArray2D< Type >::rowNum, rowNum, vpArray2D< Type >::size(), and vpArray2D().

◆ operator==() [2/2]

bool operator== ( const vpArray2D< float > & A ) const

Definition at line 1439 of file vpArray2D.h.

References vpArray2D< Type >::colNum, colNum, vpArray2D< Type >::data, data, vpArray2D< Type >::rowNum, rowNum, vpArray2D< Type >::size(), and vpArray2D().

◆ vpGEMM()

void vpGEMM	(	const vpArray2D< double > &	A,
		const vpArray2D< double > &	B,
		const double &	alpha,
		const vpArray2D< double > &	C,
		const double &	beta,
		vpArray2D< double > &	D,
		const unsigned int &	ops = 0 )

This function performs generalized matrix multiplication: D = alpha*op(A)*op(B) + beta*op(C), where op(X) is X or X^T. Operation on A, B and C matrices is described by enumeration vpGEMMmethod().

For example, to compute D = alpha*A^T*B^T+beta*C we need to call :

vpGEMM(A, B, alpha, C, beta, D, VP_GEMM_A_T + VP_GEMM_B_T);

vpArray2D< double >::vpGEMM

void vpGEMM(const vpArray2D< double > &A, const vpArray2D< double > &B, const double &alpha, const vpArray2D< double > &C, const double &beta, vpArray2D< double > &D, const unsigned int &ops=0)

Definition vpGEMM.h:414

If C is not used, vpGEMM must be called using an empty array null. Thus to compute D = alpha*A^T*B, we have to call:

vpGEMM(A, B, alpha, null, 0, D, VP_GEMM_B_T);

Exceptions

vpException::incorrectMatrixSizeError if the sizes of the matrices do not allow the operations.

Parameters

A	: An array that could be a vpMatrix.
B	: An array that could be a vpMatrix.
alpha	: A scalar.
C	: An array that could be a vpMatrix.
beta	: A scalar.
D	: The resulting array that could be a vpMatrix.
ops	: A scalar describing operation applied on the matrices. Possible values are the one defined in vpGEMMmethod(): VP_GEMM_A_T, VP_GEMM_B_T, VP_GEMM_C_T.

Definition at line 414 of file vpGEMM.h.

References vpException::functionNotImplementedError, and vpArray2D().

◆ vpGEMMmethod

enum vpGEMMmethod

Enumeration of the operations applied on matrices in vpGEMM() function.

Operations are :

VP_GEMM_A_T to use the transpose matrix of A instead of the matrix A
VP_GEMM_B_T to use the transpose matrix of B instead of the matrix B
VP_GEMM_C_T to use the transpose matrix of C instead of the matrix C

Definition at line 53 of file vpGEMM.h.

Member Data Documentation

◆ colNum

unsigned int vpArray2D< double >::colNum

protectedinherited

Number of columns in the array.

Definition at line 1203 of file vpArray2D.h.

◆ data

double* vpArray2D< double >::data

inherited

Address of the first element of the data array.

Examples: catchQuaternion.cpp, catchRotation.cpp, perfMatrixMultiplication.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixInitialization.cpp, testUniversalRobotsGetData.cpp, and tutorial-bridge-opencv-matrix.cpp.

Definition at line 149 of file vpArray2D.h.

◆ dsize

unsigned int vpArray2D< double >::dsize

protectedinherited

Current array size (rowNum * colNum).

Definition at line 1207 of file vpArray2D.h.

◆ isMemoryOwner

bool vpArray2D< double >::isMemoryOwner

protectedinherited

Whether this array owns the memory it points to.

Definition at line 1209 of file vpArray2D.h.

Referenced by vpColVector::clear(), and vpRowVector::clear().

◆ isRowPtrsOwner

bool vpArray2D< double >::isRowPtrsOwner

protectedinherited

Whether this array owns the row pointers.

Definition at line 1211 of file vpArray2D.h.

◆ rowNum

unsigned int vpArray2D< double >::rowNum

protectedinherited

Number of rows in the array.

Definition at line 1201 of file vpArray2D.h.

◆ rowPtrs

double** vpArray2D< double >::rowPtrs

protectedinherited

Address of the first element of each rows.

Definition at line 1205 of file vpArray2D.h.

Public Member Functions

Static Public Member Functions

Public Attributes

Related Symbols

Inherited I/O from vpArray2D with Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ vpForceTwistMatrix() [1/8]

◆ vpForceTwistMatrix() [2/8]

◆ vpForceTwistMatrix() [3/8]

◆ vpForceTwistMatrix() [4/8]

◆ vpForceTwistMatrix() [5/8]

◆ vpForceTwistMatrix() [6/8]

◆ vpForceTwistMatrix() [7/8]

◆ vpForceTwistMatrix() [8/8]

Member Function Documentation

◆ buildFrom() [1/5]

◆ buildFrom() [2/5]

◆ buildFrom() [3/5]

◆ buildFrom() [4/5]

◆ buildFrom() [5/5]

◆ conv2()

◆ eye()

◆ getCols()

◆ getMaxValue()

◆ getMinValue()

◆ getRows()

◆ hadamard()

◆ insert()

◆ isFinite()

◆ load()

◆ loadYAML()

◆ operator!=()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator=()

◆ operator[]()

◆ print()

◆ reshape()

◆ resize() [1/2]

◆ resize() [2/2]

◆ save()

◆ saveYAML()

◆ size()

◆ t()

◆ view()

Friends And Related Symbol Documentation

◆ operator==() [1/2]

◆ operator==() [2/2]

◆ vpGEMM()

◆ vpGEMMmethod

Member Data Documentation

◆ colNum

◆ data

◆ dsize

◆ isMemoryOwner

◆ isRowPtrsOwner

◆ rowNum

◆ rowPtrs