Visual Servoing Platform  version 3.0.0
vpPoseVector Class Reference

#include <visp3/core/vpPoseVector.h>

+ Inheritance diagram for vpPoseVector:

Public Member Functions

 vpPoseVector ()
 
 vpPoseVector (const double tx, const double ty, const double tz, const double tux, const double tuy, const double tuz)
 
 vpPoseVector (const vpHomogeneousMatrix &M)
 
 vpPoseVector (const vpTranslationVector &tv, const vpThetaUVector &tu)
 
 vpPoseVector (const vpTranslationVector &tv, const vpRotationMatrix &R)
 
virtual ~vpPoseVector ()
 
vpPoseVector buildFrom (const double tx, const double ty, const double tz, const double tux, const double tuy, const double tuz)
 
vpPoseVector buildFrom (const vpHomogeneousMatrix &M)
 
vpPoseVector buildFrom (const vpTranslationVector &tv, const vpThetaUVector &tu)
 
vpPoseVector buildFrom (const vpTranslationVector &tv, const vpRotationMatrix &R)
 
void extract (vpRotationMatrix &R) const
 
void extract (vpThetaUVector &tu) const
 
void extract (vpTranslationVector &tv) const
 
void extract (vpQuaternionVector &q) const
 
vpRotationMatrix getRotationMatrix () const
 
vpThetaUVector getThetaUVector () const
 
vpTranslationVector getTranslationVector () const
 
void load (std::ifstream &f)
 
double & operator[] (unsigned int i)
 
const double & operator[] (unsigned int i) const
 
void print () const
 
int print (std::ostream &s, unsigned int length, char const *intro=0) const
 
void resize (const unsigned int nrows, const unsigned int ncols, const bool flagNullify=true)
 
void save (std::ofstream &f) const
 
void set (const double tx, const double ty, const double tz, const double tux, const double tuy, const double tuz)
 
vpRowVector t () const
 
Deprecated functions
vp_deprecated void init ()
 
Inherited functionalities from vpArray2D
double getMinValue () const
 
double getMaxValue () const
 
unsigned int getRows () const
 
unsigned int getCols () const
 
unsigned int size () const
 

Static Public Member Functions

Inherited I/O from vpArray2D with Static Public Member Functions
static bool load (const std::string &filename, vpArray2D< double > &A, const bool binary=false, char *header=NULL)
 
static bool loadYAML (const std::string &filename, vpArray2D< double > &A, char *header=NULL)
 
static bool save (const std::string &filename, const vpArray2D< double > &A, const bool binary=false, const char *header="")
 
static bool saveYAML (const std::string &filename, const vpArray2D< double > &A, const char *header="")
 

Public Attributes

double * data
 

Protected Attributes

unsigned int rowNum
 
unsigned int colNum
 
double ** rowPtrs
 
unsigned int dsize
 

Related Functions

(Note that these are not member functions.)

enum  vpGEMMmethod
 

Detailed Description

Implementation of a pose vector and operations on poses.

The vpPose class implements a complete representation of every rigid motion in the euclidian space.

The vpPose class is derived from vpArray2D<double>.

The pose is composed of a translation and a rotation minimaly represented by a 6 dimension pose vector as:

\[ ^{a}{\bf r}_b = [^{a}{\bf t}_{b},\theta {\bf u}]^\top \in R^6\]

where $ ^{a}{\bf r}_b $ is the pose from frame $ a $ to frame $ b $, with $ ^{a}{\bf t}_{b} $ being the translation vector between these frames along the x,y,z axis and $\theta \bf u $, the axis-angle representation of the rotation $^{a}\bf{R}_{b}$ between these frames.

Translations are expressed in meters, while the angles in the $\theta {\bf u}$ axis-angle representation are expressed in radians.

To know more about the $\theta \bf u$ rotation representation, see vpThetaUVector documentation.

Examples:
servoMomentImage.cpp, servoSimu3D_cdMc_CamVelocity.cpp, servoSimu3D_cdMc_CamVelocityWithoutVpServo.cpp, servoSimu3D_cMcd_CamVelocity.cpp, servoSimu3D_cMcd_CamVelocityWithoutVpServo.cpp, servoSimuPoint2DhalfCamVelocity1.cpp, servoSimuPoint2DhalfCamVelocity2.cpp, servoSimuPoint2DhalfCamVelocity3.cpp, servoSimuThetaUCamVelocity.cpp, simulateCircle2DCamVelocity.cpp, simulateFourPoints2DCartesianCamVelocity.cpp, simulateFourPoints2DPolarCamVelocity.cpp, testFindMatch.cpp, testPose.cpp, testPoseFeatures.cpp, testPoseRansac.cpp, and testPoseVector.cpp.

Definition at line 93 of file vpPoseVector.h.

Constructor & Destructor Documentation

vpPoseVector::vpPoseVector ( )

Default constructor that construct a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ where $ \theta \bf u$ is a rotation vector $[\theta u_x, \theta u_y, \theta u_z]^\top$ and $ \bf t $ is a translation vector $[t_x, t_y, t_z]^\top$.

The pose vector is initialized to zero.

Definition at line 67 of file vpPoseVector.cpp.

vpPoseVector::vpPoseVector ( const double  tx,
const double  ty,
const double  tz,
const double  tux,
const double  tuy,
const double  tuz 
)

Construct a 6 dimension pose vector $ [\bf{t}, \theta \bf{u}]^\top$ from 3 translations and 3 $ \theta \bf{u}$ angles.

Translations are expressed in meters, while rotations in radians.

Parameters
tx,ty,tz: Translations $[t_x, t_y, t_z]^\top$ respectively along the x, y and z axis (in meters).
tux,tuy,tuz: Rotations $[\theta u_x, \theta u_y, \theta u_z]^\top$ respectively around the x, y and z axis (in radians).

Definition at line 86 of file vpPoseVector.cpp.

vpPoseVector::vpPoseVector ( const vpHomogeneousMatrix M)

Construct a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from an homogeneous matrix $ \bf M $.

Parameters
M: Homogeneous matrix $ \bf M $ from which translation $ \bf t $ and $\theta \bf u $ vectors are extracted to initialize the pose vector.

Definition at line 149 of file vpPoseVector.cpp.

References buildFrom().

vpPoseVector::vpPoseVector ( const vpTranslationVector tv,
const vpThetaUVector tu 
)

Construct a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from a translation vector $ \bf tv $ and a $\theta \bf u$ vector.

Parameters
tv: Translation vector $ \bf t $.
tu: $\theta \bf u$ rotation vector.

Definition at line 113 of file vpPoseVector.cpp.

References buildFrom().

vpPoseVector::vpPoseVector ( const vpTranslationVector tv,
const vpRotationMatrix R 
)

Construct a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from a translation vector $ \bf t $ and a rotation matrix $ \bf R $.

Parameters
tv: Translation vector $ \bf t $.
R: Rotation matrix $ \bf R $ from which $\theta \bf u$ vector is extracted to initialise the pose vector.

Definition at line 132 of file vpPoseVector.cpp.

References buildFrom().

virtual vpPoseVector::~vpPoseVector ( )
inlinevirtual

Destructor.

Definition at line 112 of file vpPoseVector.h.

Member Function Documentation

vpPoseVector vpPoseVector::buildFrom ( const double  tx,
const double  ty,
const double  tz,
const double  tux,
const double  tuy,
const double  tuz 
)

Build a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from 3 translations and 3 $ \theta \bf{u}$ angles.

Translations are expressed in meters, while rotations in radians.

Parameters
tx,ty,tz: Translations $[t_x, t_y, t_z]^\top$ respectively along the x, y and z axis (in meters).
tux,tuy,tuz: Rotations $[\theta u_x, \theta u_y, \theta u_z]^\top$ respectively around the x, y and z axis (in radians).
Returns
The build pose vector.
See also
set()
Examples:
servoMomentImage.cpp, testPoseFeatures.cpp, and testPoseVector.cpp.

Definition at line 200 of file vpPoseVector.cpp.

Referenced by buildFrom(), vpPtu46::computeMGD(), vpBiclops::computeMGD(), vpBiclops::get_fMc(), vpMbTracker::savePose(), and vpPoseVector().

vpPoseVector vpPoseVector::buildFrom ( const vpHomogeneousMatrix M)

Build a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from an homogeneous matrix $ \bf M $.

Parameters
M: Homogeneous matrix $ \bf M $ from which translation $ \bf t $ and $\theta \bf u $ vectors are extracted to initialize the pose vector.
Returns
The build pose vector.

Definition at line 225 of file vpPoseVector.cpp.

References buildFrom(), and vpHomogeneousMatrix::extract().

vpPoseVector vpPoseVector::buildFrom ( const vpTranslationVector tv,
const vpThetaUVector tu 
)

Build a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from a translation vector $ \bf t $ and a $\theta \bf u$ vector.

Parameters
tv: Translation vector $ \bf t $.
tu: $\theta \bf u$ rotation vector.
Returns
The build pose vector.

Definition at line 245 of file vpPoseVector.cpp.

vpPoseVector vpPoseVector::buildFrom ( const vpTranslationVector tv,
const vpRotationMatrix R 
)

Build a 6 dimension pose vector $ [\bf t, \theta \bf u]^\top$ from a translation vector $ \bf t $ and a rotation matrix $ \bf R $.

Parameters
tv: Translation vector $ \bf t $.
R: Rotation matrix $ \bf R $ from which $\theta \bf u$ vector is extracted to initialise the pose vector.
Returns
The build pose vector.

Definition at line 269 of file vpPoseVector.cpp.

References buildFrom(), and vpThetaUVector::buildFrom().

void vpPoseVector::extract ( vpRotationMatrix R) const

Extract the rotation as a rotation matrix.

Definition at line 313 of file vpPoseVector.cpp.

References vpRotationMatrix::buildFrom().

void vpPoseVector::extract ( vpThetaUVector tu) const

Extract the rotation as a $\theta \bf u$ vector.

Definition at line 294 of file vpPoseVector.cpp.

void vpPoseVector::extract ( vpTranslationVector tv) const

Extract the translation vector from the homogeneous matrix.

Definition at line 283 of file vpPoseVector.cpp.

void vpPoseVector::extract ( vpQuaternionVector q) const

Extract the rotation as a quaternion vector.

Definition at line 304 of file vpPoseVector.cpp.

References vpQuaternionVector::buildFrom().

double vpArray2D< double >::getMaxValue ( ) const
inherited

Return the array max value.

Examples:
servoMomentImage.cpp.
double vpArray2D< double >::getMinValue ( ) const
inherited

Return the array min value.

Examples:
servoMomentImage.cpp.
vpRotationMatrix vpPoseVector::getRotationMatrix ( ) const

Return the rotation matrix that corresponds to the rotation part of the pose vector.

Definition at line 331 of file vpPoseVector.cpp.

vpThetaUVector vpPoseVector::getThetaUVector ( ) const

Return the $\theta {\bf u}$ vector that corresponds to the rotation part of the pose vector.

Definition at line 341 of file vpPoseVector.cpp.

vpTranslationVector vpPoseVector::getTranslationVector ( ) const

Return the translation vector that corresponds to the translation part of the pose vector.

Definition at line 321 of file vpPoseVector.cpp.

vp_deprecated void vpPoseVector::init ( )
inline
Deprecated:
Provided only for compat with previous releases. This function does nothing.

Definition at line 215 of file vpPoseVector.h.

void vpPoseVector::load ( std::ifstream &  f)

Read a pose vector from an input file stream.

Parameters
f: The input file stream..Should be open before entering in this method.
Exceptions
vpException::ioError: If the input file stream is not open.
See also
save()

Definition at line 411 of file vpPoseVector.cpp.

References vpException::ioError.

static bool vpArray2D< double >::load ( const std::string &  filename,
vpArray2D< double > &  A,
const bool  binary = false,
char *  header = NULL 
)
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 308 of file vpArray2D.h.

References vpException::badValue, and vpArray2D< Type >::resize().

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

Definition at line 392 of file vpArray2D.h.

References vpArray2D< Type >::resize().

double& vpPoseVector::operator[] ( unsigned int  i)
inline

Set the value of an element of the pose vector: r[i] = x.

Parameters
i: Pose vector element index
// Create a pose vector with translation and rotation set to zero
// Initialize the pose vector
r[0] = 1;
r[1] = 2;
r[2] = 3;
r[3] = M_PI;
r[4] = -M_PI;
r[5] = 0;

This code produces the same effect:

vpPoseVector r(1, 2, 3, M_PI, -M_PI, 0);

Definition at line 161 of file vpPoseVector.h.

const double& vpPoseVector::operator[] ( unsigned int  i) const
inline

Get the value of an element of the pose vector: x = r[i].

Parameters
i: Pose vector element index
vpPoseVector r(1, 2, 3, M_PI, -M_PI, 0);
double tx,ty,tz; // Translation
double tux, tuy,tuz; // Theta u rotation
tx = r[0];
ty = r[1];
tz = r[2];
tux = r[3];
tuy = r[4];
tuz = r[5];

Definition at line 180 of file vpPoseVector.h.

void vpPoseVector::print ( ) const

Prints to the standart stream the pose vector.

Warning
Values concerning the $ \theta {\bf u}$ rotation are converted in degrees.

The following code

// Create a pose vector
vpPoseVector r(1, 2, 3, M_PI, -M_PI, 0);
r.print();

produces the output:

1 2 3 180 -180 0
See also
std::ostream &operator<<(std::ostream &s, const vpArray2D<Type> &A)

Definition at line 369 of file vpPoseVector.cpp.

References vpMath::deg().

int vpPoseVector::print ( std::ostream &  s,
unsigned int  length,
char const *  intro = 0 
) const

Pretty print a pose vector. The data are tabulated. The common widths before and after the decimal point are set with respect to the parameter maxlen.

Parameters
sStream used for the printing.
lengthThe suggested width of each vector element. The actual width grows in order to accomodate the whole integral part, and shrinks if the whole extent is not needed for all the numbers.
introThe introduction which is printed before the vector. Can be set to zero (or omitted), in which case the introduction is not printed.
Returns
Returns the common total width for all vector elements.
See also
std::ostream &operator<<(std::ostream &s, const vpArray2D<Type> &A)

Definition at line 455 of file vpPoseVector.cpp.

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

void vpPoseVector::resize ( const unsigned int  nrows,
const unsigned int  ncols,
const bool  flagNullify = true 
)
inline

This function is not applicable to a pose vector that is always a 6-by-1 column vector.

Exceptions
vpException::fatalErrorWhen this function is called.

Definition at line 191 of file vpPoseVector.h.

References vpException::fatalError.

void vpPoseVector::save ( std::ofstream &  f) const

Save the pose vector in the output file stream.

Parameters
f: Output file stream. Should be open before entering in this method.
Exceptions
vpException::ioError: If the output stream is not open.
See also
load()

Definition at line 388 of file vpPoseVector.cpp.

References vpException::ioError.

static bool vpArray2D< double >::save ( const std::string &  filename,
const vpArray2D< double > &  A,
const 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 468 of file vpArray2D.h.

References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().

static 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::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
- [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
- [0, 0, 0, 0]
- [0, 0, 0, 0]
- [0, 0, 0, 0]
See also
loadYAML()

Definition at line 560 of file vpArray2D.h.

References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().

void vpPoseVector::set ( const double  tx,
const double  ty,
const double  tz,
const double  tux,
const double  tuy,
const double  tuz 
)

Set the 6 dimension pose vector $ [\bf{t}, \theta \bf{u}]^\top$ from 3 translations and 3 $ \theta \bf{u}$ angles.

Translations are expressed in meters, while rotations in radians.

Parameters
tx,ty,tz: Translations $[t_x, t_y, t_z]^\top$ respectively along the x, y and z axis (in meters).
tux,tuy,tuz: Rotations $[\theta u_x, \theta u_y, \theta u_z]^\top$ respectively around the x, y and z axis (in radians).
Examples:
testPoseVector.cpp.

Definition at line 171 of file vpPoseVector.cpp.

Friends And Related Function Documentation

enum vpGEMMmethod
related

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 57 of file vpGEMM.h.

Member Data Documentation

double * vpArray2D< double >::data
inherited

Address of the first element of the data array.

Examples:
testDisplacement.cpp, testMatrix.cpp, testPoseVector.cpp, and testTranslationVector.cpp.

Definition at line 84 of file vpArray2D.h.

Referenced by vpMatrix::AtA(), vpHomogeneousMatrix::buildFrom(), vpRzyzVector::buildFrom(), vpRzyxVector::buildFrom(), vpRxyzVector::buildFrom(), vpThetaUVector::buildFrom(), vpSubColVector::checkParentStatus(), vpSubRowVector::checkParentStatus(), vpSubMatrix::checkParentStatus(), vpColVector::clear(), vpHomogeneousMatrix::convert(), vpTranslationVector::euclideanNorm(), vpRowVector::euclideanNorm(), vpColVector::euclideanNorm(), vpMatrix::euclideanNorm(), vpMatrix::expm(), vpThetaUVector::extract(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpTranslationVector::operator*(), vpRowVector::operator*(), vpColVector::operator*(), vpHomography::operator*(), vpTranslationVector::operator-(), vpRowVector::operator-(), vpColVector::operator-(), vpTranslationVector::operator/(), vpRowVector::operator/(), vpColVector::operator/(), vpHomography::operator/(), vpHomography::operator/=(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpTranslationVector::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpRzyxVector::operator=(), vpRzyzVector::operator=(), vpRxyzVector::operator=(), vpMatrix::operator=(), vpThetaUVector::operator=(), vpColVector::operator[](), vpRowVector::reshape(), vpColVector::reshape(), vpQuaternionVector::set(), vpMatrix::stackRows(), vpRotationVector::t(), vpTranslationVector::t(), t(), vpRowVector::t(), vpColVector::t(), vpQuaternionVector::w(), vpQuaternionVector::x(), vpQuaternionVector::y(), vpQuaternionVector::z(), vpSubColVector::~vpSubColVector(), vpSubMatrix::~vpSubMatrix(), and vpSubRowVector::~vpSubRowVector().

unsigned int vpArray2D< double >::rowNum
protectedinherited

Number of rows in the array.

Definition at line 74 of file vpArray2D.h.

Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::diag(), vpMatrix::eigenValues(), vpMatrix::expm(), vpColVector::extract(), vpMatrix::eye(), vpColVector::infinityNorm(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpMatrix::insert(), vpMatrix::inverseByCholesky(), vpMatrix::inverseByLU(), vpMatrix::inverseByQR(), vpRotationMatrix::operator*(), vpTranslationVector::operator*(), vpHomogeneousMatrix::operator*(), vpColVector::operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), vpTranslationVector::operator*=(), vpColVector::operator*=(), vpMatrix::operator*=(), vpColVector::operator+(), vpColVector::operator+=(), vpMatrix::operator+=(), vpColVector::operator-(), vpColVector::operator-=(), vpMatrix::operator-=(), vpColVector::operator/(), vpMatrix::operator/(), vpTranslationVector::operator/=(), vpColVector::operator/=(), vpMatrix::operator/=(), vpMatrix::operator<<(), vpColVector::operator<<(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpSubMatrix::operator=(), vpTranslationVector::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpColVector::reshape(), vpMatrix::setIdentity(), vpMatrix::stack(), vpColVector::stack(), vpMatrix::stackColumns(), vpMatrix::stackRows(), vpMatrix::sum(), vpRotationVector::sumSquare(), vpTranslationVector::sumSquare(), vpColVector::sumSquare(), vpMatrix::sumSquare(), vpTranslationVector::t(), t(), vpColVector::t(), vpMatrix::t(), and vpMatrix::transpose().