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itk::Vector< T, NVectorDimension > Class Template Reference
[Geometry Representation ObjectsData Representation Objects]

#include <itkVector.h>

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List of all members.

Detailed Description

template<class T, unsigned int NVectorDimension = 3>
class itk::Vector< T, NVectorDimension >

A templated class holding a n-Dimensional vector.

Vector is a templated class that holds a single vector (i.e., an array of values). Vector can be used as the data type held at each pixel in an Image or at each vertex of an Mesh. The template parameter T can be any data type that behaves like a primitive (or atomic) data type (int, short, float, complex). The NVectorDimension defines the number of components in the vector array.

Vector is not a dynamically extendible array like std::vector. It is intended to be used like a mathematical vector.

If you wish a simpler pixel types, you can use Scalar, which represents a single data value at a pixel. There is also the more complex type ScalarVector, which supports (for a given pixel) a single scalar value plus an array of vector values. (The scalar and vectors can be of different data type.)

See also:
Image

Mesh

Point

CovariantVector

Matrix

Examples:

DataRepresentation/Image/VectorImage.cxx, DataRepresentation/Mesh/PointSetWithVectors.cxx, and Testing/Code/Common/itkVectorImageTest.cxx.

Definition at line 58 of file itkVector.h.

Public Types

typedef FixedArray< T, NVectorDimension > BaseArray
typedef ValueType CArray [VLength]
typedef T ComponentType
typedef const ValueTypeconst_pointer
typedef const ValueTypeconst_reference
typedef const ValueTypeConstIterator
typedef ValueTypeIterator
typedef ValueTypepointer
typedef NumericTraits< ValueType
>::RealType 
RealValueType
typedef ValueTypereference
typedef Vector Self
typedef unsigned int SizeType
typedef FixedArray< T, NVectorDimension > Superclass
typedef T ValueType
typedef Self VectorType

Public Member Functions

ConstIterator Begin () const
Iterator Begin ()
ConstIterator End () const
Iterator End ()
void Fill (const ValueType &)
vnl_vector< T > Get_vnl_vector (void) const
vnl_vector_ref< T > Get_vnl_vector (void)
const ValueTypeGetDataPointer () const
ValueTypeGetDataPointer ()
const_reference GetElement (unsigned short index) const
RealValueType GetNorm (void) const
RealValueType GetSquaredNorm (void) const
vnl_vector< T > GetVnlVector (void) const
vnl_vector_ref< T > GetVnlVector (void)
 itkStaticConstMacro (Dimension, unsigned int, VLength)
 itkStaticConstMacro (Length, unsigned int, VLength)
 itkStaticConstMacro (Dimension, unsigned int, NVectorDimension)
void Normalize (void)
ValueType operator * (const Self &vec) const
bool operator!= (const FixedArray &r) const
Self operator+ (const Self &vec) const
const Selfoperator+= (const Self &vec)
Self operator- (const Self &vec) const
Self operator- () const
const Selfoperator-= (const Self &vec)
Vectoroperator= (const ValueType r[NVectorDimension])
bool operator== (const FixedArray &r) const
const_reference operator[] (unsigned long index) const
reference operator[] (unsigned long index)
const_reference operator[] (long index) const
reference operator[] (long index)
const_reference operator[] (unsigned int index) const
reference operator[] (unsigned int index)
const_reference operator[] (int index) const
reference operator[] (int index)
const_reference operator[] (unsigned short index) const
reference operator[] (unsigned short index)
const_reference operator[] (short index) const
reference operator[] (short index)
ConstReverseIterator rBegin () const
ReverseIterator rBegin ()
ConstReverseIterator rEnd () const
ReverseIterator rEnd ()
void Set_vnl_vector (const vnl_vector< T > &)
void SetElement (unsigned short index, const_reference value)
void SetNthComponent (int c, const ComponentType &v)
void SetVnlVector (const vnl_vector< T > &)
SizeType Size () const
 Vector (const ValueType &r)
 Vector ()
template<typename TCoordRepB>
void CastFrom (const Vector< TCoordRepB, NVectorDimension > &pa)
Self operator * (const ValueType &value) const
template<class Tt>
const Selfoperator *= (const Tt &value)
bool operator!= (const Self &v) const
bool operator== (const Self &v) const
template<class Tt>
Self operator/ (const Tt &value) const
template<class Tt>
const Selfoperator/= (const Tt &value)
template<class TVectorValueType>
Vectoroperator= (const Vector< TVectorValueType, NVectorDimension > &r)

Static Public Member Functions

static FixedArray Filled (const ValueType &)
static unsigned int GetNumberOfComponents ()
static unsigned int GetVectorDimension ()


Member Typedef Documentation

template<class T, unsigned int NVectorDimension = 3>
typedef FixedArray<T, NVectorDimension> itk::Vector< T, NVectorDimension >::BaseArray

The Array type from which this vector is derived.

Definition at line 80 of file itkVector.h.

typedef ValueType itk::FixedArray< T , VLength >::CArray[VLength] [inherited]

A type representing the C-array version of this FixedArray.

Definition at line 77 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
typedef T itk::Vector< T, NVectorDimension >::ComponentType

Component value type

Definition at line 77 of file itkVector.h.

typedef const ValueType* itk::FixedArray< T , VLength >::const_pointer [inherited]

A const pointer to the ValueType.

Definition at line 123 of file itkFixedArray.h.

typedef const ValueType& itk::FixedArray< T , VLength >::const_reference [inherited]

A const reference to the ValueType.

Definition at line 129 of file itkFixedArray.h.

typedef const ValueType* itk::FixedArray< T , VLength >::ConstIterator [inherited]

A const iterator through the array.

Definition at line 83 of file itkFixedArray.h.

typedef ValueType* itk::FixedArray< T , VLength >::Iterator [inherited]

An iterator through the array.

Definition at line 80 of file itkFixedArray.h.

typedef ValueType* itk::FixedArray< T , VLength >::pointer [inherited]

A pointer to the ValueType.

Definition at line 120 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
typedef NumericTraits< ValueType >::RealType itk::Vector< T, NVectorDimension >::RealValueType

Definition at line 68 of file itkVector.h.

typedef ValueType& itk::FixedArray< T , VLength >::reference [inherited]

A reference to the ValueType.

Definition at line 126 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
typedef Vector itk::Vector< T, NVectorDimension >::Self

Standard class typedefs.

Definition at line 62 of file itkVector.h.

typedef unsigned int itk::FixedArray< T , VLength >::SizeType [inherited]

Definition at line 131 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
typedef FixedArray<T,NVectorDimension> itk::Vector< T, NVectorDimension >::Superclass

Definition at line 63 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
typedef T itk::Vector< T, NVectorDimension >::ValueType

ValueType can be used to declare a variable that is the same type as a data element held in an Vector.

Reimplemented from itk::FixedArray< T, NVectorDimension >.

Definition at line 67 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
typedef Self itk::Vector< T, NVectorDimension >::VectorType

I am a vector type.

Definition at line 74 of file itkVector.h.


Constructor & Destructor Documentation

template<class T, unsigned int NVectorDimension = 3>
itk::Vector< T, NVectorDimension >::Vector (  )  [inline]

Default constructor and copy constructors.

Definition at line 109 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
itk::Vector< T, NVectorDimension >::Vector ( const ValueType r  ) 

template<class T, unsigned int NVectorDimension = 3>
template<class TVectorValueType>
itk::Vector< T, NVectorDimension >::Vector ( const Vector< TVectorValueType, NVectorDimension > &  r  )  [inline]

Pass-through constructor for the Array base class.

Definition at line 114 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
itk::Vector< T, NVectorDimension >::Vector ( const ValueType  r[Dimension]  )  [inline]

Definition at line 115 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
itk::Vector< T, NVectorDimension >::Vector ( const ValueType  r[Dimension]  )  [inline]

Definition at line 115 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
template<class TVectorValueType>
itk::Vector< T, NVectorDimension >::Vector ( const Vector< TVectorValueType, NVectorDimension > &  r  )  [inline]

Pass-through constructor for the Array base class.

Definition at line 114 of file itkVector.h.


Member Function Documentation

ConstIterator itk::FixedArray< T , VLength >::Begin ( void   )  const [inherited]

Iterator itk::FixedArray< T , VLength >::Begin ( void   )  [inherited]

Get various iterators to the array.

template<class T, unsigned int NVectorDimension = 3>
template<typename TCoordRepB>
void itk::Vector< T, NVectorDimension >::CastFrom ( const Vector< TCoordRepB, NVectorDimension > &  pa  )  [inline]

Copy from another Vector with a different representation type. Casting is done with C-Like rules

Definition at line 225 of file itkVector.h.

ConstIterator itk::FixedArray< T , VLength >::End ( void   )  const [inherited]

Iterator itk::FixedArray< T , VLength >::End ( void   )  [inherited]

void itk::FixedArray< T , VLength >::Fill ( const ValueType  )  [inherited]

static FixedArray itk::FixedArray< T , VLength >::Filled ( const ValueType  )  [static, inherited]

template<class T, unsigned int NVectorDimension = 3>
vnl_vector<T> itk::Vector< T, NVectorDimension >::Get_vnl_vector ( void   )  const

Get a vnl_vector with a copy of the internal memory block.

Deprecated:
Use GetVnlVector() instead.

template<class T, unsigned int NVectorDimension = 3>
vnl_vector_ref<T> itk::Vector< T, NVectorDimension >::Get_vnl_vector ( void   ) 

Get a vnl_vector_ref referencing the same memory block.

Deprecated:
Use GetVnlVector() instead.

const ValueType* itk::FixedArray< T , VLength >::GetDataPointer (  )  const [inline, inherited]

Definition at line 210 of file itkFixedArray.h.

ValueType* itk::FixedArray< T , VLength >::GetDataPointer (  )  [inline, inherited]

Return a pointer to the data.

Definition at line 209 of file itkFixedArray.h.

Referenced by itk::MetaArrayWriter::SetInput().

const_reference itk::FixedArray< T , VLength >::GetElement ( unsigned short  index  )  const [inline, inherited]

Definition at line 205 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
RealValueType itk::Vector< T, NVectorDimension >::GetNorm ( void   )  const

Returns the Euclidean Norm of the vector

template<class T, unsigned int NVectorDimension = 3>
static unsigned int itk::Vector< T, NVectorDimension >::GetNumberOfComponents (  )  [inline, static]

Returns the number of components in this vector type

Definition at line 214 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
RealValueType itk::Vector< T, NVectorDimension >::GetSquaredNorm ( void   )  const

Returns vector's Squared Euclidean Norm

template<class T, unsigned int NVectorDimension = 3>
static unsigned int itk::Vector< T, NVectorDimension >::GetVectorDimension (  )  [inline, static]

Get the dimension (size) of the vector.

Definition at line 83 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
vnl_vector<T> itk::Vector< T, NVectorDimension >::GetVnlVector ( void   )  const

Get a vnl_vector with a copy of the internal memory block.

template<class T, unsigned int NVectorDimension = 3>
vnl_vector_ref<T> itk::Vector< T, NVectorDimension >::GetVnlVector ( void   ) 

Get a vnl_vector_ref referencing the same memory block.

itk::FixedArray< T , VLength >::itkStaticConstMacro ( Dimension  ,
unsigned  int,
VLength   
) [inherited]

Dimension constant

itk::FixedArray< T , VLength >::itkStaticConstMacro ( Length  ,
unsigned  int,
VLength   
) [inherited]

Length constant

template<class T, unsigned int NVectorDimension = 3>
itk::Vector< T, NVectorDimension >::itkStaticConstMacro ( Dimension  ,
unsigned  int,
NVectorDimension   
)

Dimension of the vector space.

template<class T, unsigned int NVectorDimension = 3>
void itk::Vector< T, NVectorDimension >::Normalize ( void   ) 

Divides the vector componets by the vector norm

template<class T, unsigned int NVectorDimension = 3>
Self itk::Vector< T, NVectorDimension >::operator * ( const ValueType value  )  const [inline]

Scalar operator*. Scale the elements of a vector by a scalar. Return a new vector.

Definition at line 173 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
ValueType itk::Vector< T, NVectorDimension >::operator * ( const Self vec  )  const

Vector operator*. Performs the inner product of two vectors. this is also known as the scalar product.

template<class T, unsigned int NVectorDimension = 3>
template<class Tt>
const Self& itk::Vector< T, NVectorDimension >::operator *= ( const Tt &  value  )  [inline]

Scalar operator*=. Scales elements by a scalar.

Definition at line 130 of file itkVector.h.

bool itk::FixedArray< T , VLength >::operator!= ( const FixedArray< T, NVectorDimension > &  r  )  const [inline, inherited]

Definition at line 181 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
bool itk::Vector< T, NVectorDimension >::operator!= ( const Self v  )  const [inline]

Definition at line 203 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
Self itk::Vector< T, NVectorDimension >::operator+ ( const Self vec  )  const

Vector addition. Add two vectors. Return a new vector.

template<class T, unsigned int NVectorDimension = 3>
const Self& itk::Vector< T, NVectorDimension >::operator+= ( const Self vec  ) 

Vector operator+=. Adds a vectors to the current vector.

template<class T, unsigned int NVectorDimension = 3>
Self itk::Vector< T, NVectorDimension >::operator- ( const Self vec  )  const

Vector subtraction. Subtract two vectors. Return a new vector.

template<class T, unsigned int NVectorDimension = 3>
Self itk::Vector< T, NVectorDimension >::operator- (  )  const

Vector negation. Negate all the elements of a vector. Return a new vector

template<class T, unsigned int NVectorDimension = 3>
const Self& itk::Vector< T, NVectorDimension >::operator-= ( const Self vec  ) 

Vector operator-=. Subtracts a vector from a current vector.

template<class T, unsigned int NVectorDimension = 3>
template<class Tt>
Self itk::Vector< T, NVectorDimension >::operator/ ( const Tt &  value  )  const [inline]

Scalar operator/. Scale (divide) the elements of a vector by a scalar. Return a new vector.

Definition at line 186 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
template<class Tt>
const Self& itk::Vector< T, NVectorDimension >::operator/= ( const Tt &  value  )  [inline]

Scalar operator/=. Scales (divides) elements by a scalar.

Definition at line 141 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
Vector& itk::Vector< T, NVectorDimension >::operator= ( const ValueType  r[NVectorDimension]  ) 

template<class T, unsigned int NVectorDimension = 3>
template<class TVectorValueType>
Vector& itk::Vector< T, NVectorDimension >::operator= ( const Vector< TVectorValueType, NVectorDimension > &  r  )  [inline]

Pass-through assignment operator for the Array base class.

Definition at line 120 of file itkVector.h.

bool itk::FixedArray< T , VLength >::operator== ( const FixedArray< T, NVectorDimension > &  r  )  const [inherited]

Operators == and != are used to compare whether two arrays are equal. Note that arrays are equal when the number of components (size) is the same, and each component value is equal.

template<class T, unsigned int NVectorDimension = 3>
bool itk::Vector< T, NVectorDimension >::operator== ( const Self v  )  const [inline]

Operators == and != compare a vector component by component. All components must be equal for two vectors to be equal. (Of course compile-time constraints on the template parameters length and type prevent comparisons between vectors of different type and length.)

Definition at line 201 of file itkVector.h.

Referenced by itk::Vector< double, VDimension >::operator!=().

const_reference itk::FixedArray< T , VLength >::operator[] ( unsigned long  index  )  const [inline, inherited]

Definition at line 199 of file itkFixedArray.h.

reference itk::FixedArray< T , VLength >::operator[] ( unsigned long  index  )  [inline, inherited]

Definition at line 198 of file itkFixedArray.h.

const_reference itk::FixedArray< T , VLength >::operator[] ( long  index  )  const [inline, inherited]

Definition at line 197 of file itkFixedArray.h.

reference itk::FixedArray< T , VLength >::operator[] ( long  index  )  [inline, inherited]

Definition at line 196 of file itkFixedArray.h.

const_reference itk::FixedArray< T , VLength >::operator[] ( unsigned int  index  )  const [inline, inherited]

Definition at line 195 of file itkFixedArray.h.

reference itk::FixedArray< T , VLength >::operator[] ( unsigned int  index  )  [inline, inherited]

Definition at line 194 of file itkFixedArray.h.

const_reference itk::FixedArray< T , VLength >::operator[] ( int  index  )  const [inline, inherited]

Definition at line 193 of file itkFixedArray.h.

reference itk::FixedArray< T , VLength >::operator[] ( int  index  )  [inline, inherited]

Definition at line 192 of file itkFixedArray.h.

const_reference itk::FixedArray< T , VLength >::operator[] ( unsigned short  index  )  const [inline, inherited]

Definition at line 191 of file itkFixedArray.h.

reference itk::FixedArray< T , VLength >::operator[] ( unsigned short  index  )  [inline, inherited]

Definition at line 190 of file itkFixedArray.h.

const_reference itk::FixedArray< T , VLength >::operator[] ( short  index  )  const [inline, inherited]

Definition at line 189 of file itkFixedArray.h.

reference itk::FixedArray< T , VLength >::operator[] ( short  index  )  [inline, inherited]

Allow the FixedArray to be indexed normally. No bounds checking is done. The separate versions are a work-around for an integer conversion bug in Visual C++.

Definition at line 188 of file itkFixedArray.h.

Referenced by itk::Vector< double, VDimension >::SetNthComponent().

ConstReverseIterator itk::FixedArray< T , VLength >::rBegin (  )  const [inherited]

ReverseIterator itk::FixedArray< T , VLength >::rBegin (  )  [inherited]

ConstReverseIterator itk::FixedArray< T , VLength >::rEnd (  )  const [inherited]

ReverseIterator itk::FixedArray< T , VLength >::rEnd (  )  [inherited]

template<class T, unsigned int NVectorDimension = 3>
void itk::Vector< T, NVectorDimension >::Set_vnl_vector ( const vnl_vector< T > &   ) 

Set a vnl_vector_ref referencing the same memory block.

Deprecated:
Use SetVnlVector() instead.

void itk::FixedArray< T , VLength >::SetElement ( unsigned short  index,
const_reference  value 
) [inline, inherited]

Set/Get element methods are more convenient in wrapping languages

Definition at line 203 of file itkFixedArray.h.

template<class T, unsigned int NVectorDimension = 3>
void itk::Vector< T, NVectorDimension >::SetNthComponent ( int  c,
const ComponentType v 
) [inline]

Definition at line 219 of file itkVector.h.

template<class T, unsigned int NVectorDimension = 3>
void itk::Vector< T, NVectorDimension >::SetVnlVector ( const vnl_vector< T > &   ) 

Set a vnl_vector_ref referencing the same memory block.

SizeType itk::FixedArray< T , VLength >::Size ( void   )  const [inherited]


The documentation for this class was generated from the following file:
Generated at Wed Jul 30 11:00:14 2008 for ITK by doxygen 1.5.1 written by Dimitri van Heesch, © 1997-2000