Visual Servoing Platform
version 3.3.0 under development (2020-02-17)
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#include <visp3/core/vpRotationVector.h>
Public Member Functions | |
vpRotationVector () | |
vpRotationVector (unsigned int n) | |
vpRotationVector (const vpRotationVector &v) | |
virtual | ~vpRotationVector () |
bool | operator== (const vpArray2D< float > &A) const |
Inherited functionalities from vpRotationVector | |
double & | operator[] (unsigned int i) |
const double & | operator[] (unsigned int i) const |
vpRotationVector & | operator= (const vpRotationVector &v) |
vpColVector | operator* (double x) const |
vpRotationVector & | operator<< (double val) |
vpRotationVector & | operator, (double val) |
double | sumSquare () const |
vpRowVector | t () const |
std::vector< double > | toStdVector () |
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) |
bool | operator== (const vpArray2D< double > &A) const |
bool | operator!= (const vpArray2D< double > &A) const |
vpArray2D< double > | hadamard (const vpArray2D< double > &m) 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, 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, 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 | m_index |
unsigned int | rowNum |
unsigned int | colNum |
double ** | rowPtrs |
unsigned int | dsize |
Related Functions | |
(Note that these are not member functions.) | |
vpColVector | operator* (const double &x, const vpRotationVector &v) |
enum | vpGEMMmethod |
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) |
Implementation of a generic rotation vector.
Class that consider the case of a generic rotation vector (cannot be used as is !) consisting in three or four angles.
The vpRotationVector class is derived from vpArray2D<double>. The vpRotationVector class is also the base class of specific rotations vectors such as vpThetaUVector, vpRxyzVector, vpRzyxVector, vpRzyzVector and vpQuaternionVector.
The code below shows how this class can be used to manipulate a vpRxyzVector.
Definition at line 100 of file vpRotationVector.h.
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Constructor that constructs a 0-size rotation vector.
Definition at line 104 of file vpRotationVector.h.
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Constructor that constructs a vector of size n and initialize all values to zero.
Definition at line 108 of file vpRotationVector.h.
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Copy operator.
Definition at line 113 of file vpRotationVector.h.
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Destructor.
Definition at line 118 of file vpRotationVector.h.
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inlineinherited |
Return the number of columns of the 2D array.
Definition at line 279 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::getMaxValue(), and vpArray2D< Type >::getMinValue().
Referenced by vpMatrix::cond(), vpRowVector::cppPrint(), vpMatrix::cppPrint(), vpRowVector::csvPrint(), vpMatrix::csvPrint(), vpMatrix::detByLUEigen3(), vpMatrix::extract(), vpRotationMatrix::getCol(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpMatrix::inducedL2Norm(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByQRLapack(), vpRotationMatrix::isARotationMatrix(), vpMatrix::kernel(), vpRowVector::maplePrint(), vpMatrix::maplePrint(), vpRowVector::matlabPrint(), vpMatrix::matlabPrint(), vpRowVector::operator*(), vpRowVector::operator+(), vpRowVector::operator+=(), vpRowVector::operator-(), vpRowVector::operator-=(), vpForceTwistMatrix::print(), vpVelocityTwistMatrix::print(), vpRowVector::print(), vpMatrix::print(), vpMatrix::pseudoInverse(), vpMatrix::row(), vpMatrix::svdEigen3(), vpMatrix::svdGsl(), vpMatrix::svdLapack(), and vpMatrix::svdOpenCV().
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Return the array max value.
Definition at line 913 of file vpArray2D.h.
References vpArray2D< Type >::data.
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Return the array min value.
Definition at line 896 of file vpArray2D.h.
References vpArray2D< Type >::data.
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Return the number of rows of the 2D array.
Definition at line 289 of file vpArray2D.h.
References vpArray2D< Type >::rowNum.
Referenced by vpMatrix::column(), vpMatrix::cond(), vpColVector::cppPrint(), vpMatrix::cppPrint(), vpColVector::csvPrint(), vpMatrix::csvPrint(), vpMatrix::detByLUEigen3(), vpMatrix::extract(), vpRotationMatrix::getCol(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpMatrix::inducedL2Norm(), vpMatrix::inverseByCholeskyLapack(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByQRLapack(), vpRotationMatrix::isARotationMatrix(), vpMatrix::kernel(), vpColVector::maplePrint(), vpMatrix::maplePrint(), vpColVector::matlabPrint(), vpMatrix::matlabPrint(), vpColVector::operator+(), vpColVector::operator+=(), vpColVector::operator-(), vpColVector::operator-=(), vpForceTwistMatrix::print(), vpVelocityTwistMatrix::print(), vpPoseVector::print(), vpColVector::print(), vpMatrix::print(), vpMatrix::pseudoInverse(), vpMatrix::svdEigen3(), vpMatrix::svdGsl(), vpMatrix::svdLapack(), and vpMatrix::svdOpenCV().
Compute the Hadamard product (element wise matrix multiplication).
m | : Second matrix; |
Definition at line 933 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::data, vpException::dimensionError, vpArray2D< Type >::dsize, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), and vpArray2D< Type >::resize().
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inlinestaticinherited |
Load a matrix from a file.
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. |
Definition at line 541 of file vpArray2D.h.
References vpException::badValue, and vpArray2D< Type >::resize().
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Load an array from a YAML-formatted file.
filename | : absolute file name. |
A | : array to be loaded from the file. |
header | : header of the file is loaded in this parameter. |
Definition at line 653 of file vpArray2D.h.
References vpArray2D< Type >::resize().
Not equal to comparison operator of a 2D array.
Definition at line 994 of file vpArray2D.h.
vpColVector vpRotationVector::operator* | ( | double | x | ) | const |
Operator that allows to multiply each element of a rotation vector by a scalar.
x | : The scalar. |
Definition at line 89 of file vpRotationVector.cpp.
References vpArray2D< double >::dsize.
Referenced by vpQuaternionVector::~vpQuaternionVector().
vpRotationVector & vpRotationVector::operator, | ( | double | val | ) |
Set vector second and third element values.
val | : Value of the vector element [rad]. |
The following example shows how to initialize a vector from a list of 3 values [rad].
It produces the following printings:
Definition at line 162 of file vpRotationVector.cpp.
References vpArray2D< double >::data, vpException::dimensionError, m_index, and vpArray2D< double >::size().
vpRotationVector & vpRotationVector::operator<< | ( | double | val | ) |
Set vector first element value.
val | : Value of the vector first element [rad]. |
The following example shows how to initialize a vector from a list of 3 values [rad].
It produces the following printings:
Definition at line 132 of file vpRotationVector.cpp.
References vpArray2D< double >::data, and m_index.
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Affectation of two vectors.
Definition at line 137 of file vpRotationVector.h.
References vpArray2D< Type >::data, operator*(), vpArray2D< Type >::operator<<, vpArray2D< Type >::resize(), and vpArray2D< Type >::size().
Referenced by vpQuaternionVector::~vpQuaternionVector(), vpRxyzVector::~vpRxyzVector(), vpRzyxVector::~vpRzyxVector(), vpRzyzVector::~vpRzyzVector(), and vpThetaUVector::~vpThetaUVector().
Equal to comparison operator of a 2D array.
Definition at line 949 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::data, vpArray2D< Type >::operator==(), vpArray2D< Type >::rowNum, and vpArray2D< Type >::size().
Definition at line 979 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::data, vpArray2D< Type >::rowNum, and vpArray2D< Type >::size().
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Operator that allows to set the value of an element of the rotation vector: r[i] = value
Definition at line 127 of file vpRotationVector.h.
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Operator that allows to get the value of an element of the rotation vector: value = r[i]
Definition at line 132 of file vpRotationVector.h.
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Definition at line 380 of file vpArray2D.h.
References vpException::dimensionError, vpArray2D< Type >::dsize, vpArray2D< Type >::operator!=(), vpArray2D< Type >::operator==(), vpArray2D< Type >::resize(), and vpArray2D< Type >::rowPtrs.
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Set the size of the array and initialize all the values to zero.
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 if needed and if flagNullify is set to false. |
Definition at line 305 of file vpArray2D.h.
References vpArray2D< Type >::colNum, vpArray2D< Type >::dsize, vpException::memoryAllocationError, vpArray2D< Type >::rowNum, and vpArray2D< Type >::rowPtrs.
Referenced by vpMatrix::diag(), vpMatrix::eye(), vpMatrix::init(), vpMatrix::operator,(), vpMatrix::operator<<(), vpMatrix::operator=(), vpMatrix::stack(), and vpMatrix::svdOpenCV().
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Save a matrix to a file.
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. |
Warning : If you save the matrix as in a text file the precision is less than if you save it in a binary file.
Definition at line 738 of file vpArray2D.h.
References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().
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Save an array in a YAML-formatted file.
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. |
Here is an example of outputs.
Content of matrix.yml:
Content of matrixIndent.yml:
Definition at line 831 of file vpArray2D.h.
References vpArray2D< Type >::getCols(), and vpArray2D< Type >::getRows().
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Return the number of elements of the 2D array.
Definition at line 291 of file vpArray2D.h.
References vpArray2D< Type >::rowNum.
Referenced by vpRowVector::insert(), vpColVector::insert(), vpColVector::operator*(), operator,(), vpTranslationVector::operator,(), vpRotationMatrix::operator,(), vpQuaternionVector::operator=(), vpTranslationVector::operator=(), vpRxyzVector::operator=(), vpRzyzVector::operator=(), vpRzyxVector::operator=(), vpThetaUVector::operator=(), vpMatrix::stack(), toStdVector(), vpRowVector::toStdVector(), and vpColVector::toStdVector().
double vpRotationVector::sumSquare | ( | ) | const |
Return the sum square of all the elements of the rotation vector r(m).
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Definition at line 178 of file vpRotationVector.cpp.
References vpArray2D< double >::rowNum, and vpArray2D< double >::rowPtrs.
vpRowVector vpRotationVector::t | ( | ) | const |
Return the transpose of the rotation vector.
Definition at line 56 of file vpRotationVector.cpp.
References vpArray2D< double >::data, and vpArray2D< double >::dsize.
std::vector< double > vpRotationVector::toStdVector | ( | ) |
Converts the vpRotationVector to a std::vector.
Definition at line 70 of file vpRotationVector.cpp.
References vpArray2D< double >::data, and vpArray2D< double >::size().
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Allows to multiply a scalar by rotaion vector.
Definition at line 102 of file vpRotationVector.cpp.
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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 :
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:
vpException::incorrectMatrixSizeError | if the sizes of the matrices do not allow the operations. |
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 393 of file vpGEMM.h.
References vpException::functionNotImplementedError.
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Enumeration of the operations applied on matrices in vpGEMM() function.
Operations are :
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Number of columns in the array.
Definition at line 137 of file vpArray2D.h.
Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::detByLU(), vpMatrix::detByLUEigen3(), vpMatrix::detByLUGsl(), vpMatrix::detByLULapack(), vpMatrix::detByLUOpenCV(), vpMatrix::diag(), vpMatrix::eigenValues(), vpMatrix::expm(), vpMatrix::eye(), vpMatrix::getDiag(), vpMatrix::getRow(), vpColVector::hadamard(), vpMatrix::hadamard(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpRowVector::insert(), vpMatrix::insert(), vpMatrix::inverseByCholeskyLapack(), vpMatrix::inverseByCholeskyOpenCV(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByLUGsl(), vpMatrix::inverseByLULapack(), vpMatrix::inverseByLUOpenCV(), vpMatrix::inverseByQRLapack(), vpMatrix::inverseTriangular(), vpRotationMatrix::operator*(), vpRowVector::operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), vpRowVector::operator*=(), vpMatrix::operator*=(), vpRowVector::operator+(), vpRowVector::operator+=(), vpMatrix::operator+=(), vpRowVector::operator,(), vpMatrix::operator,(), vpRowVector::operator-(), vpRowVector::operator-=(), vpMatrix::operator-=(), vpRowVector::operator/(), vpMatrix::operator/(), vpRowVector::operator/=(), vpMatrix::operator/=(), vpMatrix::operator<<(), vpColVector::operator<<(), vpSubRowVector::operator=(), vpSubMatrix::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpRowVector::operator==(), vpColVector::operator==(), vpMatrix::qr(), vpMatrix::qrPivot(), vpRowVector::reshape(), vpMatrix::setIdentity(), vpMatrix::solveByQR(), vpMatrix::solveBySVD(), vpMatrix::stack(), vpRowVector::stack(), vpMatrix::stackColumns(), vpMatrix::stackRows(), vpRowVector::sum(), vpMatrix::sum(), vpRowVector::sumSquare(), vpMatrix::sumSquare(), vpRowVector::t(), vpMatrix::transpose(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), and vpRowVector::vpRowVector().
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Address of the first element of the data array.
Definition at line 145 of file vpArray2D.h.
Referenced by vpMatrix::AtA(), vpQuaternionVector::buildFrom(), vpHomogeneousMatrix::buildFrom(), vpThetaUVector::buildFrom(), vpRzyzVector::buildFrom(), vpRxyzVector::buildFrom(), vpRzyxVector::buildFrom(), vpSubColVector::checkParentStatus(), vpSubRowVector::checkParentStatus(), vpSubMatrix::checkParentStatus(), vpColVector::clear(), vpHomogeneousMatrix::convert(), vpMatrix::detByLUEigen3(), vpMatrix::detByLUOpenCV(), vpMatrix::expm(), vpThetaUVector::extract(), vpMatrix::frobeniusNorm(), vpMatrix::getRow(), vpThetaUVector::getTheta(), vpThetaUVector::getU(), vpColVector::hadamard(), vpMatrix::hadamard(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpColVector::insert(), vpMatrix::insert(), vpMatrix::inverseByCholeskyOpenCV(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByLUOpenCV(), vpTranslationVector::operator*(), vpRowVector::operator*(), vpHomography::operator*(), vpColVector::operator*(), vpMatrix::operator*(), operator,(), vpTranslationVector::operator,(), vpRotationMatrix::operator,(), vpRowVector::operator,(), vpColVector::operator,(), vpTranslationVector::operator-(), vpRowVector::operator-(), vpColVector::operator-(), vpTranslationVector::operator/(), vpRowVector::operator/(), vpHomography::operator/(), vpColVector::operator/(), vpHomography::operator/=(), operator<<(), vpTranslationVector::operator<<(), vpRotationMatrix::operator<<(), vpRowVector::operator<<(), vpColVector::operator<<(), vpSubColVector::operator=(), vpSubRowVector::operator=(), vpQuaternionVector::operator=(), vpTranslationVector::operator=(), vpRotationMatrix::operator=(), vpRxyzVector::operator=(), vpRzyzVector::operator=(), vpRzyxVector::operator=(), vpRowVector::operator=(), vpThetaUVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpRowVector::operator==(), vpColVector::operator==(), vpColVector::operator[](), vpMatrix::qr(), vpMatrix::qrPivot(), vpRowVector::reshape(), vpColVector::reshape(), vpQuaternionVector::set(), vpMatrix::stack(), vpMatrix::stackRows(), vpColVector::sum(), vpColVector::sumSquare(), vpMatrix::svdEigen3(), vpMatrix::svdGsl(), vpMatrix::svdLapack(), vpMatrix::svdOpenCV(), t(), vpTranslationVector::t(), vpPoseVector::t(), vpRowVector::t(), vpColVector::t(), toStdVector(), vpRowVector::toStdVector(), vpColVector::toStdVector(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), vpRowVector::vpRowVector(), vpQuaternionVector::w(), vpQuaternionVector::x(), vpQuaternionVector::y(), vpQuaternionVector::z(), vpSubColVector::~vpSubColVector(), vpSubMatrix::~vpSubMatrix(), and vpSubRowVector::~vpSubRowVector().
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Current array size (rowNum * colNum)
Definition at line 141 of file vpArray2D.h.
Referenced by vpColVector::clear(), vpMatrix::frobeniusNorm(), vpColVector::hadamard(), vpMatrix::hadamard(), vpMatrix::inducedL2Norm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), operator*(), vpTranslationVector::operator*(), vpTranslationVector::operator-(), vpTranslationVector::operator/(), vpRotationMatrix::operator=(), vpRxyzVector::operator=(), vpRzyzVector::operator=(), vpRzyxVector::operator=(), vpThetaUVector::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpRowVector::reshape(), vpColVector::reshape(), t(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), and vpRowVector::vpRowVector().
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Definition at line 161 of file vpRotationVector.h.
Referenced by operator,(), and operator<<().
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Number of rows in the array.
Definition at line 135 of file vpArray2D.h.
Referenced by vpMatrix::AAt(), vpMatrix::AtA(), vpColVector::clear(), vpMatrix::detByLU(), vpMatrix::detByLUEigen3(), vpMatrix::detByLUGsl(), vpMatrix::detByLULapack(), vpMatrix::detByLUOpenCV(), vpMatrix::diag(), vpMatrix::eigenValues(), vpMatrix::expm(), vpColVector::extract(), vpMatrix::eye(), vpMatrix::getCol(), vpMatrix::getDiag(), vpMatrix::getRow(), vpColVector::hadamard(), vpMatrix::hadamard(), vpColVector::infinityNorm(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpMatrix::insert(), vpMatrix::inverseByCholeskyLapack(), vpMatrix::inverseByCholeskyOpenCV(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByLUGsl(), vpMatrix::inverseByLULapack(), vpMatrix::inverseByLUOpenCV(), vpMatrix::inverseByQRLapack(), vpMatrix::inverseTriangular(), vpTranslationVector::operator*(), vpRotationMatrix::operator*(), vpHomogeneousMatrix::operator*(), vpColVector::operator*(), vpMatrix::operator*(), vpTranslationVector::operator*=(), vpRotationMatrix::operator*=(), vpColVector::operator*=(), vpMatrix::operator*=(), vpColVector::operator+(), vpColVector::operator+=(), vpMatrix::operator+=(), vpColVector::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=(), vpRowVector::operator==(), vpColVector::operator==(), vpMatrix::qr(), vpMatrix::qrPivot(), vpColVector::reshape(), vpMatrix::setIdentity(), vpMatrix::stack(), vpColVector::stack(), vpMatrix::stackColumns(), vpMatrix::stackRows(), vpColVector::sum(), vpMatrix::sum(), sumSquare(), vpTranslationVector::sumSquare(), vpColVector::sumSquare(), vpMatrix::sumSquare(), vpTranslationVector::t(), vpPoseVector::t(), vpColVector::t(), vpMatrix::transpose(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), and vpRowVector::vpRowVector().
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Address of the first element of each rows.
Definition at line 139 of file vpArray2D.h.
Referenced by vpMatrix::AAt(), vpColVector::clear(), vpMatrix::infinityNorm(), vpSubColVector::init(), vpSubRowVector::init(), vpSubMatrix::init(), vpRowVector::init(), vpColVector::init(), vpMatrix::init(), vpRotationMatrix::operator*(), vpForceTwistMatrix::operator*(), vpVelocityTwistMatrix::operator*(), vpHomogeneousMatrix::operator*(), vpMatrix::operator*(), vpRotationMatrix::operator*=(), vpMatrix::operator*=(), vpMatrix::operator+=(), vpMatrix::operator,(), vpMatrix::operator-=(), vpMatrix::operator/(), vpMatrix::operator/=(), vpMatrix::operator<<(), vpColVector::operator<<(), vpSubMatrix::operator=(), vpRotationMatrix::operator=(), vpForceTwistMatrix::operator=(), vpHomogeneousMatrix::operator=(), vpVelocityTwistMatrix::operator=(), vpRowVector::operator=(), vpColVector::operator=(), vpMatrix::operator=(), vpMatrix::stack(), vpMatrix::stackColumns(), vpRowVector::sum(), vpMatrix::sum(), sumSquare(), vpTranslationVector::sumSquare(), vpRowVector::sumSquare(), vpMatrix::sumSquare(), vpColVector::vpColVector(), vpMatrix::vpMatrix(), and vpRowVector::vpRowVector().