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itk::Point< TCoordRep, NPointDimension > Class Template Reference
[Geometry Representation ObjectsData Representation Objects]

A templated class holding a geometric point in n-Dimensional space. More...

#include <itkPoint.h>

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List of all members.

Public Types

typedef FixedArray< TCoordRep,
NPointDimension > 
BaseArray
typedef ValueType CArray [VLength]
typedef const ValueTypeconst_pointer
typedef const ValueTypeconst_reference
typedef BaseArray::ConstIterator ConstIterator
typedef TCoordRep CoordRepType
typedef BaseArray::Iterator Iterator
typedef ValueTypepointer
typedef NumericTraits
< ValueType >::RealType 
RealType
typedef ValueTypereference
typedef Point Self
typedef unsigned int SizeType
typedef FixedArray< TCoordRep,
NPointDimension > 
Superclass
typedef TCoordRep ValueType
typedef Vector< ValueType,
NPointDimension > 
VectorType

Public Member Functions

vnl_vector< TCoordRep > Get_vnl_vector (void) const
vnl_vector_ref< TCoordRep > Get_vnl_vector (void)
VectorType GetVectorFromOrigin () const
vnl_vector< TCoordRep > GetVnlVector (void) const
vnl_vector_ref< TCoordRep > GetVnlVector (void)
Self operator+ (const VectorType &vec) const
const Selfoperator+= (const VectorType &vec)
Self operator- (const VectorType &vec) const
VectorType operator- (const Self &pnt) const
const Selfoperator-= (const VectorType &vec)
 Point ()
void SetToMidPoint (const Self &, const Self &)
template<typename TCoordRepB >
RealType SquaredEuclideanDistanceTo (const Point< TCoordRepB, NPointDimension > &pa) const



ConstIterator Begin () const
Iterator Begin ()
ConstIterator End () const
Iterator End ()
void Fill (const ValueType &)
const ValueTypeGetDataPointer () const
ValueTypeGetDataPointer ()
const_reference GetElement (unsigned short index) const
bool operator!= (const FixedArray &r) const
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 SetElement (unsigned short index, const_reference value)
SizeType Size () const



template<typename TCoordRepB >
void CastFrom (const Point< TCoordRepB, NPointDimension > &pa)
template<typename TCoordRepB >
RealType EuclideanDistanceTo (const Point< TCoordRepB, NPointDimension > &pa) const
bool operator!= (const Self &pt) const
Pointoperator= (const ValueType r[NPointDimension])
Pointoperator= (const Self &r)
bool operator== (const Self &pt) const
 Point (const ValueType r[PointDimension])
template<class TPointValueType >
 Point (const Point< TPointValueType, NPointDimension > &r)
void SetToBarycentricCombination (const Self *P, const double *weights, unsigned int N)
void SetToBarycentricCombination (const Self &A, const Self &B, const Self &C, double weightA, double weightB)
void SetToBarycentricCombination (const Self &A, const Self &B, double alpha)

Static Public Member Functions

static FixedArray Filled (const ValueType &)
static unsigned int GetPointDimension ()

Static Public Attributes

static const unsigned int Dimension
static const unsigned int Length
static const unsigned int PointDimension = NPointDimension

Detailed Description

template<class TCoordRep, unsigned int NPointDimension = 3>
class itk::Point< TCoordRep, NPointDimension >

A templated class holding a geometric point in n-Dimensional space.

Point is a templated class that holds a set of coordinates (components). Point 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 NPointDimension defines the number of components in the point array.

See also:
Image
Mesh
Vector
CovariantVector
Matrix

Definition at line 45 of file itkPoint.h.


Member Typedef Documentation

template<class TCoordRep, unsigned int NPointDimension = 3>
typedef FixedArray<TCoordRep, NPointDimension> itk::Point< TCoordRep, NPointDimension >::BaseArray
typedef ValueType itk::FixedArray< TCoordRep , VLength >::CArray[VLength] [inherited]

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

Definition at line 77 of file itkFixedArray.h.

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

A const pointer to the ValueType.

Definition at line 129 of file itkFixedArray.h.

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

A const reference to the ValueType.

Definition at line 135 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
typedef BaseArray::ConstIterator itk::Point< TCoordRep, NPointDimension >::ConstIterator
template<class TCoordRep, unsigned int NPointDimension = 3>
typedef TCoordRep itk::Point< TCoordRep, NPointDimension >::CoordRepType
template<class TCoordRep, unsigned int NPointDimension = 3>
typedef BaseArray::Iterator itk::Point< TCoordRep, NPointDimension >::Iterator
typedef ValueType* itk::FixedArray< TCoordRep , VLength >::pointer [inherited]

A pointer to the ValueType.

Definition at line 126 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
typedef NumericTraits< ValueType >::RealType itk::Point< TCoordRep, NPointDimension >::RealType

Reimplemented in itk::QuadEdgeMeshPoint< TCoordRep, VPointDimension, TQuadEdge >.

Definition at line 57 of file itkPoint.h.

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

A reference to the ValueType.

Definition at line 132 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
typedef Point itk::Point< TCoordRep, NPointDimension >::Self
typedef unsigned int itk::FixedArray< TCoordRep , VLength >::SizeType [inherited]

Definition at line 137 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
typedef FixedArray<TCoordRep,NPointDimension> itk::Point< TCoordRep, NPointDimension >::Superclass
template<class TCoordRep, unsigned int NPointDimension = 3>
typedef TCoordRep itk::Point< TCoordRep, NPointDimension >::ValueType
template<class TCoordRep, unsigned int NPointDimension = 3>
typedef Vector< ValueType, NPointDimension > itk::Point< TCoordRep, NPointDimension >::VectorType

VectorType define the difference between two Points

Reimplemented in itk::QuadEdgeMeshPoint< TCoordRep, VPointDimension, TQuadEdge >.

Definition at line 72 of file itkPoint.h.


Constructor & Destructor Documentation

template<class TCoordRep, unsigned int NPointDimension = 3>
itk::Point< TCoordRep, NPointDimension >::Point (  )  [inline]

Default constructor has nothing to do.

Definition at line 75 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
template<class TPointValueType >
itk::Point< TCoordRep, NPointDimension >::Point ( const Point< TPointValueType, NPointDimension > &  r  )  [inline]

Pass-through constructors for the Array base class.

Definition at line 79 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
itk::Point< TCoordRep, NPointDimension >::Point ( const ValueType  r[PointDimension]  )  [inline]

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

Definition at line 80 of file itkPoint.h.


Member Function Documentation

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

Get various iterators to the array.

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

Get various iterators to the array.

template<class TCoordRep, unsigned int NPointDimension = 3>
template<typename TCoordRepB >
void itk::Point< TCoordRep, NPointDimension >::CastFrom ( const Point< TCoordRepB, NPointDimension > &  pa  )  [inline]

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

Definition at line 222 of file itkPoint.h.

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

Get various iterators to the array.

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

Get various iterators to the array.

template<class TCoordRep, unsigned int NPointDimension = 3>
template<typename TCoordRepB >
RealType itk::Point< TCoordRep, NPointDimension >::EuclideanDistanceTo ( const Point< TCoordRepB, NPointDimension > &  pa  )  const [inline]

Compute the Euclidean Distance from this point to another point with a different representation type. Casting is done with C-Like rules

Definition at line 252 of file itkPoint.h.

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

Get various iterators to the array.

static FixedArray itk::FixedArray< TCoordRep , VLength >::Filled ( const ValueType &   )  [static, inherited]
template<class TCoordRep, unsigned int NPointDimension = 3>
vnl_vector<TCoordRep> itk::Point< TCoordRep, NPointDimension >::Get_vnl_vector ( void   )  const

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

Deprecated:
Use GetVnlVector() instead.
template<class TCoordRep, unsigned int NPointDimension = 3>
vnl_vector_ref<TCoordRep> itk::Point< TCoordRep, NPointDimension >::Get_vnl_vector ( void   ) 

Get a vnl_vector_ref referencing the same memory block

Deprecated:
Use GetVnlVector() instead.
const ValueType* itk::FixedArray< TCoordRep , VLength >::GetDataPointer (  )  const [inline, inherited]

Get various iterators to the array.

Definition at line 223 of file itkFixedArray.h.

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

Return a pointer to the data.

Definition at line 222 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 218 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
static unsigned int itk::Point< TCoordRep, NPointDimension >::GetPointDimension (  )  [inline, static]

Get the dimension (size) of the point.

Definition at line 68 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
VectorType itk::Point< TCoordRep, NPointDimension >::GetVectorFromOrigin (  )  const

Access an element of a point.

template<class TCoordRep, unsigned int NPointDimension = 3>
vnl_vector<TCoordRep> itk::Point< TCoordRep, NPointDimension >::GetVnlVector ( void   )  const

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

template<class TCoordRep, unsigned int NPointDimension = 3>
vnl_vector_ref<TCoordRep> itk::Point< TCoordRep, NPointDimension >::GetVnlVector ( void   ) 

Get a vnl_vector_ref referencing the same memory block

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

Get various iterators to the array.

Definition at line 194 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
bool itk::Point< TCoordRep, NPointDimension >::operator!= ( const Self pt  )  const [inline]

Compare two points for inequality.

Definition at line 101 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
Self itk::Point< TCoordRep, NPointDimension >::operator+ ( const VectorType vec  )  const

Add a vector to a point. Return a new point.

template<class TCoordRep, unsigned int NPointDimension = 3>
const Self& itk::Point< TCoordRep, NPointDimension >::operator+= ( const VectorType vec  ) 

Point operator+=. Adds a vector to the current point.

template<class TCoordRep, unsigned int NPointDimension = 3>
Self itk::Point< TCoordRep, NPointDimension >::operator- ( const VectorType vec  )  const

Subtract a vector from a point. Return a new point.

template<class TCoordRep, unsigned int NPointDimension = 3>
VectorType itk::Point< TCoordRep, NPointDimension >::operator- ( const Self pnt  )  const

Computes the Vector difference between two points

template<class TCoordRep, unsigned int NPointDimension = 3>
const Self& itk::Point< TCoordRep, NPointDimension >::operator-= ( const VectorType vec  ) 

Point operator-=. Subtracts a vector from a current point.

template<class TCoordRep, unsigned int NPointDimension = 3>
Point& itk::Point< TCoordRep, NPointDimension >::operator= ( const ValueType  r[NPointDimension]  ) 

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

template<class TCoordRep, unsigned int NPointDimension = 3>
Point& itk::Point< TCoordRep, NPointDimension >::operator= ( const Self r  ) 

Pass-through assignment operator for the Array base class.

bool itk::FixedArray< TCoordRep , VLength >::operator== ( const FixedArray< TCoordRep, NPointDimension > &  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 TCoordRep, unsigned int NPointDimension = 3>
bool itk::Point< TCoordRep, NPointDimension >::operator== ( const Self pt  )  const [inline]

Compare two points for equality.

Definition at line 90 of file itkPoint.h.

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

Get various iterators to the array.

Definition at line 212 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 211 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 210 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 209 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 208 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 207 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 206 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 205 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 204 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 203 of file itkFixedArray.h.

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

Get various iterators to the array.

Definition at line 202 of file itkFixedArray.h.

reference itk::FixedArray< TCoordRep , 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 201 of file itkFixedArray.h.

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

Get various iterators to the array.

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

Get various iterators to the array.

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

Get various iterators to the array.

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

Get various iterators to the array.

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

Set/Get element methods are more convenient in wrapping languages

Definition at line 216 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
void itk::Point< TCoordRep, NPointDimension >::SetToBarycentricCombination ( const Self P,
const double *  weights,
unsigned int  N 
)

Set the current point to a barycentric combination of an array of N points An array of (N-1) values is expected to weight the contribution of the first (N-1) points, the weight of the Nth point is computed to ensure that the N weights sum 1.

This method computes:

\[ \overrightarrow{P}= \sum_{i=1}^{N-1} w_i * \overrightarrow{P}_i + \left(1- \sum_{i=1}^{N-1} w_i\right) * \overrightarrow{P}_N \]

template<class TCoordRep, unsigned int NPointDimension = 3>
void itk::Point< TCoordRep, NPointDimension >::SetToBarycentricCombination ( const Self A,
const Self B,
const Self C,
double  weightA,
double  weightB 
)

Set the current point to a barycentric combination of three points Two values are expected to weight the contribution of the first two points, the weight of for the third point is computed to ensure that the three weights sum 1.

This method computes:

\[ \overrightarrow{P}= w_1 * \overrightarrow{P}_1 + w_2 * \overrightarrow{P}_2 + (1-w_1-w_2 ) * \overrightarrow{P}_3 \]

If the two weight are $ \in [0,1] $ , The resulting point will alway be placed inside the triangle formed by the three points given as arguments.

template<class TCoordRep, unsigned int NPointDimension = 3>
void itk::Point< TCoordRep, NPointDimension >::SetToBarycentricCombination ( const Self A,
const Self B,
double  alpha 
)

Set the current point to a barycentric combination of the two points given as arguments.

Parameters:
A First point
B Second point
alpha Weight for the first point

The first point is multiplied by $ \alpha $, the second is multiplied by * $ (1-\alpha) $, and the sum is stored in the Point on which the method is invoked.

\[ \overrightarrow{P}=\alpha * \overrightarrow{A}+ (1-\alpha)*\overrightarrow{B} \]

If the value of $ \alpha \in [0,1] $, the resulting point will be placed in the line segment $ \overline{AB} $ joining $ \overrightarrow{A} $ and $ \overrightarrow{A} $

If the value of $ \alpha < 0 $ the resulting point will be placed outside the line segment $ \overline{AB} $ on the side of $ \overrightarrow{A} $.

If the value of $ \alpha > 1 $ the resulting point will be placed outside the line segment $ \overline{AB} $ on the side of $ \overrightarrow{B} $.

See also:
SetToMedian
template<class TCoordRep, unsigned int NPointDimension = 3>
void itk::Point< TCoordRep, NPointDimension >::SetToMidPoint ( const Self ,
const Self  
)

Set to median point between the two points given as arguments

This method computes:

\[ \overrightarrow{P}=\frac{(\overrightarrow{A}+\overrightarrow{B})}{2} \]

using the two Points given as arguments, and store the result in the Point on which the method is invoked.

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

Get various iterators to the array.

template<class TCoordRep, unsigned int NPointDimension = 3>
template<typename TCoordRepB >
RealType itk::Point< TCoordRep, NPointDimension >::SquaredEuclideanDistanceTo ( const Point< TCoordRepB, NPointDimension > &  pa  )  const [inline]

Compute the Squared Euclidean Distance from this point to another point with a different representation type. Casting is done with C-Like rules

Definition at line 236 of file itkPoint.h.

Referenced by itk::Point< CoordRepType, itkGetStaticConstMacro(ImageDimension)>::EuclideanDistanceTo().


Member Data Documentation

const unsigned int itk::FixedArray< TCoordRep , VLength >::Dimension [static, inherited]

Dimension constant

Definition at line 71 of file itkFixedArray.h.

const unsigned int itk::FixedArray< TCoordRep , VLength >::Length [static, inherited]

Length constant

Definition at line 68 of file itkFixedArray.h.

template<class TCoordRep, unsigned int NPointDimension = 3>
const unsigned int itk::Point< TCoordRep, NPointDimension >::PointDimension = NPointDimension [static]

The documentation for this class was generated from the following file:

Generated at Fri Apr 16 23:53:31 2010 for ITK by doxygen 1.6.1 written by Dimitri van Heesch, © 1997-2000