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University of Murcia ![]() |
QVVector Class ReferenceImplementation of numerical vectors.
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Public Member Functions | |
QVVector () | |
Default constructor for QVVector. | |
QVVector (const int size, const double defaultValue=0) | |
Constructor for QVVector. | |
QVVector (const QVVector &vector) | |
Copy constructor for QVVector. | |
QVVector (const QVector< double > &vector) | |
Copy constructor for QVector. | |
QVVector (const QList< double > &list) | |
Convert constructor from QList. | |
QVVector (const QVMatrix &matrix) | |
Convert constructor from QVMatrix. | |
QVVector (const gsl_vector *vector) | |
Copy constructor for gsl_vector. | |
QVVector (const QPoint &point) | |
Convert constructor for QPoint. | |
QVVector (const QPointF &point) | |
Convert constructor for QPointF. | |
double | operator* (const QVVector &vector) const |
Vector dot product. | |
QVVector | operator^ (const QVVector &vector) const |
Vector cross product. | |
QVVector | operator+ (const QVVector &vector) const |
Vector add. | |
QVVector | operator- (const QVVector &vector) const |
Vector substraction. | |
QVVector | operator* (const double value) const |
Scalar multiplication. | |
QVVector | operator/ (const double value) const |
Scalar division. | |
QVVector | operator* (const QVMatrix &matrix) const |
Vector-matrix product. | |
bool | operator== (const QVVector &vector) const |
Compare operator. | |
QVVector & | operator+= (const QVVector &vector) |
Add compound assignment operator. | |
operator QPointF () const | |
Convert to QPointF operator. | |
operator gsl_vector * () const | |
Convert to gsl_vector * operator. | |
int | maxIndex () const |
Gets the location of the element with the maximal value. | |
int | minIndex () const |
Gets the location of the element with the minimal value. | |
void | set (const double value) |
Set vector elements to a value. | |
QVVector | subVector (const int firstIndex, const int lastIndex) |
Set vector elements to a value. | |
QVVector | scalarDivision (const double value) const |
Scalar division. | |
QVVector | scalarMultiplication (const double value) const |
Scalar multiplication. | |
double | norm2 () const |
Norm 2 of the vector. | |
QVVector | normalize () const |
Normalize vector. | |
double | max () const |
Maximal value contained in the vector. | |
double | min () const |
Minimal value contained in the vector. | |
double | sum () const |
Vector value accumulation. | |
double | mean () const |
Vector mean value. | |
double | variance () const |
Vector standard deviation value. | |
double | entropy (const double base=2) const |
Shannon's entropy of a probability state vector. | |
double | dotProduct (const QVVector &vector) const |
Vector dot product. | |
QVVector | crossProduct (const QVVector &vector) const |
Vector cross product. | |
QVVector | add (const QVVector &vector) const |
Vector add. | |
QVVector | substract (const QVVector &vector) const |
Vector substraction. | |
bool | equals (const QVVector &vector) const |
Compare operator. | |
QVVector | homogeneousCoordinates () const |
Obtains the vector in homogeneous coordinates. | |
QVMatrix | crossProductMatrix () const |
Obtain the matrix corresponding to the matrix multiplication notation for the vector cross product. | |
QVMatrix | toRowMatrix () const |
Returns this vector in the form of a row matrix. | |
QVMatrix | toColumnMatrix () const |
Returns this vector in the form of a column matrix. | |
Static Public Member Functions | |
static const QVVector | gaussianVector (const int radius, const double sigma) |
Vector of Gaussian distributed values. | |
static const QVVector | mexicanHatWaveletVector (const int radius, const double sigma) |
Vector of mexican hat wavelet distributed values. | |
static const QVVector | homogeneousCoordinates (const QPointF &point) |
Creates vector corresponding to the homogeneous coordinates of a 2D point. |
Definition at line 43 of file qvvector.h.
QVVector::QVVector | ( | ) | [inline] |
Default constructor for QVVector.
vector | operand for the product |
Definition at line 49 of file qvvector.h.
Referenced by homogeneousCoordinates().
QVVector::QVVector | ( | const int | size, | |
const double | defaultValue = 0 | |||
) | [inline] |
Constructor for QVVector.
int | initializing size for the vector | |
defaultValue | default value to set all elements of the vector |
Definition at line 55 of file qvvector.h.
QVVector::QVVector | ( | const QVVector & | vector | ) | [inline] |
Copy constructor for QVVector.
vector | vector to be copied |
Definition at line 60 of file qvvector.h.
QVVector::QVVector | ( | const QVector< double > & | vector | ) | [inline] |
Copy constructor for QVector.
vector | vector to be copied |
Definition at line 65 of file qvvector.h.
QVVector::QVVector | ( | const QList< double > & | list | ) | [inline] |
Convert constructor from QList.
list | List of double values to be converted to QVVector |
Definition at line 70 of file qvvector.h.
QVVector::QVVector | ( | const QVMatrix & | matrix | ) |
Convert constructor from QVMatrix.
This function generates a vector containing the elements of a matrix in a row mayor order.
matrix | matrix to be converted. |
Definition at line 31 of file qvvector.cpp.
QVVector::QVVector | ( | const gsl_vector * | vector | ) | [inline] |
Copy constructor for gsl_vector.
vector | vector to be copied |
Definition at line 83 of file qvvector.h.
QVVector::QVVector | ( | const QPoint & | point | ) | [inline] |
Convert constructor for QPoint.
vector | vector to be copied |
Definition at line 92 of file qvvector.h.
QVVector::QVVector | ( | const QPointF & | point | ) | [inline] |
Convert constructor for QPointF.
vector | vector to be copied |
Definition at line 97 of file qvvector.h.
double QVVector::operator* | ( | const QVVector & | vector | ) | const [inline] |
Vector dot product.
vector | operand for the product |
Definition at line 105 of file qvvector.h.
Vector cross product.
vector | operand for the product |
Definition at line 111 of file qvvector.h.
Vector add.
vector | term for the operation |
Definition at line 117 of file qvvector.h.
Vector substraction.
vector | subtrahend for the operation |
Definition at line 123 of file qvvector.h.
QVVector QVVector::operator* | ( | const double | value | ) | const [inline] |
Scalar multiplication.
value | value to multiply each component of the vector |
Definition at line 129 of file qvvector.h.
QVVector QVVector::operator/ | ( | const double | value | ) | const [inline] |
Scalar division.
value | value to divide each component of the vector |
Definition at line 135 of file qvvector.h.
Referenced by normalize().
Vector-matrix product.
matrix | operand for the product |
Definition at line 68 of file qvvector.cpp.
bool QVVector::operator== | ( | const QVVector & | vector | ) | const [inline] |
Compare operator.
vector | vector to compare |
Definition at line 146 of file qvvector.h.
Add compound assignment operator.
vector | vector to add |
Definition at line 151 of file qvvector.h.
QVVector::operator QPointF | ( | ) | const [inline] |
Convert to QPointF operator.
Cast from homogeneous coordinates.
Definition at line 158 of file qvvector.h.
QVVector::operator gsl_vector * | ( | ) | const [inline] |
Convert to gsl_vector * operator.
value | gsl_vector |
Definition at line 171 of file qvvector.h.
int QVVector::maxIndex | ( | ) | const [inline] |
Gets the location of the element with the maximal value.
Definition at line 185 of file qvvector.h.
int QVVector::minIndex | ( | ) | const [inline] |
Gets the location of the element with the minimal value.
Definition at line 200 of file qvvector.h.
void QVVector::set | ( | const double | value | ) | [inline] |
Set vector elements to a value.
value | value to set all the elements of the vector |
Definition at line 215 of file qvvector.h.
QVVector QVVector::subVector | ( | const int | firstIndex, | |
const int | lastIndex | |||
) | [inline] |
Set vector elements to a value.
value | value to set all the elements of the vector |
Definition at line 224 of file qvvector.h.
Referenced by QVQuaternion::quaternionProduct().
QVVector QVVector::scalarDivision | ( | const double | value | ) | const [inline] |
Scalar division.
value | value to divide each component of the vector |
Definition at line 241 of file qvvector.h.
Referenced by operator/().
QVVector QVVector::scalarMultiplication | ( | const double | value | ) | const [inline] |
Scalar multiplication.
value | value to multiply each component of the vector |
Definition at line 253 of file qvvector.h.
Referenced by operator*().
double QVVector::norm2 | ( | ) | const [inline] |
Norm 2 of the vector.
Definition at line 264 of file qvvector.h.
Referenced by CalibrateCameraFromPlanarHomography(), GetExtrinsicCameraMatrixFromHomography(), HomographyTestError(), normalize(), QVMatrix::QVMatrix(), QVQuaternion::QVQuaternion(), and QVQuaternion::trackball().
QVVector QVVector::normalize | ( | ) | const [inline] |
Normalize vector.
Divides each element of the vector by its second norm.
Definition at line 271 of file qvvector.h.
double QVVector::sum | ( | ) | const |
Vector value accumulation.
This function returns the sumatory of the elements of the vector.
Definition at line 201 of file qvvector.cpp.
double QVVector::mean | ( | ) | const |
Vector mean value.
This function returns the standard average value of the vector:
Definition at line 210 of file qvvector.cpp.
Referenced by variance().
double QVVector::variance | ( | ) | const |
Vector standard deviation value.
This function returns a variance estimation of the elements in the vector:
Definition at line 215 of file qvvector.cpp.
double QVVector::entropy | ( | const double | base = 2 |
) | const |
Shannon's entropy of a probability state vector.
This function calculates the entropy of the elements of the vector. These elements are considered as the probabilities of a random variable, over a set domain. Thus the sum of the vector elements must be equal to . The entropy is computed with the following formula:
If the sum of the elements of the vector is not , they are normalized before computing the entropy. In the case of
for some
element of the vector, the value of the corresponding summand
is taken to be
, which is consistent with the limit
base | base of the logarithm in the entropy equation. |
Definition at line 225 of file qvvector.cpp.
double QVVector::dotProduct | ( | const QVVector & | vector | ) | const |
Vector dot product.
vector | operand for the product |
Definition at line 40 of file qvvector.cpp.
Referenced by operator*().
Vector cross product.
Computes the cross product for two vectors of size 3
vector | operand for the product |
Definition at line 51 of file qvvector.cpp.
Referenced by operator^().
Vector add.
vector | term for the operation |
Definition at line 82 of file qvvector.cpp.
Vector substraction.
vector | subtrahend for the operation |
Definition at line 93 of file qvvector.cpp.
Referenced by operator-().
bool QVVector::equals | ( | const QVVector & | vector | ) | const |
Compare operator.
vector | vector to compare |
Definition at line 104 of file qvvector.cpp.
Referenced by operator==().
const QVVector QVVector::gaussianVector | ( | const int | radius, | |
const double | sigma | |||
) | [static] |
Vector of Gaussian distributed values.
This function generates a vector containing homogeneously sampled values of a gaussian distribution. The size of the vector will equal the double of the radius of the gaussian distribution plus one. The standart deviation must be explicitally provided.
radius | Radius of the gaussian distribution. | |
sigma | Sigma of the gaussian distribution. |
Definition at line 148 of file qvvector.cpp.
const QVVector QVVector::mexicanHatWaveletVector | ( | const int | radius, | |
const double | sigma | |||
) | [static] |
Vector of mexican hat wavelet distributed values.
This function generates a vector containing homogeneously sampled values of a mexican hat wavelet distribution. The size of the vector will equal the double of the radius of the wavelet distribution plus one. The standart deviation must be explicitally provided.
radius | Radius of the wavelet distribution. | |
sigma | Sigma of the wavelet distribution. |
Definition at line 162 of file qvvector.cpp.
const QVVector QVVector::homogeneousCoordinates | ( | const QPointF & | point | ) | [static] |
Creates vector corresponding to the homogeneous coordinates of a 2D point.
point | 2D input point. |
Definition at line 176 of file qvvector.cpp.
QVVector QVVector::homogeneousCoordinates | ( | ) | const |
Obtains the vector in homogeneous coordinates.
This method simply copies the actual vector and adds an extra element containing the value 1.
Definition at line 116 of file qvvector.cpp.
QVMatrix QVVector::crossProductMatrix | ( | ) | const |
Obtain the matrix corresponding to the matrix multiplication notation for the vector cross product.
This function returns a matrix which can be used in the cross product multiplication rewritten as a matrix product. The cross product between two vectors:
Can be rewritten as the following matrix multiplication:
Where is the so called cross product matrix for vector
, which has the following structure:
This function only works on vectors of size 3.
vector | vector to compare |
Definition at line 121 of file qvvector.cpp.
Referenced by getEssentialMatrixFromCanonicalCameraMatrix().