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itk::Point< TCoordRep, NPointDimension > Class Template Reference

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

#include <itkPoint.h>

+ Inheritance diagram for itk::Point< TCoordRep, NPointDimension >:
+ Collaboration diagram for itk::Point< TCoordRep, NPointDimension >:

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

 Point ()
 
template<typename TPointValueType >
 Point (const Point< TPointValueType, NPointDimension > &r)
 
template<typename TPointValueType >
 Point (const TPointValueType r[NPointDimension])
 
 Point (const ValueType r[NPointDimension])
 
template<typename TPointValueType >
 Point (const TPointValueType &v)
 
 Point (const ValueType &v)
 
Iterator Begin ()
 
ConstIterator Begin () const
 
template<typename TCoordRepB >
void CastFrom (const Point< TCoordRepB, NPointDimension > &pa)
 
Iterator End ()
 
ConstIterator End () const
 
template<typename TCoordRepB >
RealType EuclideanDistanceTo (const Point< TCoordRepB, NPointDimension > &pa) const
 
void Fill (const ValueType &)
 
ValueTypeGetDataPointer ()
 
const ValueTypeGetDataPointer () const
 
const_reference GetElement (unsigned short index) const
 
VectorType GetVectorFromOrigin () const
 
vnl_vector_ref< TCoordRep > GetVnlVector (void)
 
vnl_vector< TCoordRep > GetVnlVector (void) const
 
 itkLegacyMacro (vnl_vector_ref< TCoordRep > Get_vnl_vector(void))
 
 itkLegacyMacro (vnl_vector< TCoordRep > Get_vnl_vector(void) const)
 
bool operator!= (const Self &pt) const
 
bool operator!= (const FixedArray &r) const
 
Self operator+ (const VectorType &vec) const
 
const Selfoperator+= (const VectorType &vec)
 
VectorType operator- (const Self &pnt) const
 
Self operator- (const VectorType &vec) const
 
const Selfoperator-= (const VectorType &vec)
 
Pointoperator= (const Self &r)
 
Pointoperator= (const ValueType r[NPointDimension])
 
bool operator== (const Self &pt) const
 
bool operator== (const FixedArray &r) const
 
reference operator[] (short index)
 
const_reference operator[] (short index) const
 
reference operator[] (unsigned short index)
 
const_reference operator[] (unsigned short index) const
 
reference operator[] (int index)
 
const_reference operator[] (int index) const
 
reference operator[] (unsigned int index)
 
const_reference operator[] (unsigned int index) const
 
reference operator[] (long index)
 
const_reference operator[] (long index) const
 
reference operator[] (unsigned long index)
 
const_reference operator[] (unsigned long index) const
 
reference operator[] (long long index)
 
const_reference operator[] (long long index) const
 
reference operator[] (unsigned long long index)
 
const_reference operator[] (unsigned long long index) const
 
ReverseIterator rBegin ()
 
ConstReverseIterator rBegin () const
 
ReverseIterator rEnd ()
 
ConstReverseIterator rEnd () const
 
void SetElement (unsigned short index, const_reference value)
 
void SetToBarycentricCombination (const Self &A, const Self &B, double alpha)
 
void SetToBarycentricCombination (const Self &A, const Self &B, const Self &C, double weightA, double weightB)
 
void SetToBarycentricCombination (const Self *P, const double *weights, unsigned int N)
 
void SetToMidPoint (const Self &, const Self &)
 
SizeType Size () const
 
template<typename TCoordRepB >
RealType SquaredEuclideanDistanceTo (const Point< TCoordRepB, NPointDimension > &pa) const
 

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<typename 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

{SimpleOperations/DistanceBetweenPoints,Distance between two points} {SimpleOperations/DistanceBetweenIndices,Distance between two indices}

Definition at line 51 of file itkPoint.h.

Member Typedef Documentation

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef FixedArray< TCoordRep, NPointDimension > itk::Point< TCoordRep, NPointDimension >::BaseArray

The Array type from which this Vector is derived.

Definition at line 69 of file itkPoint.h.

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

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

Definition at line 63 of file itkFixedArray.h.

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

A const pointer to the ValueType.

Definition at line 121 of file itkFixedArray.h.

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

A const reference to the ValueType.

Definition at line 127 of file itkFixedArray.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef BaseArray::ConstIterator itk::Point< TCoordRep, NPointDimension >::ConstIterator

Definition at line 71 of file itkPoint.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef TCoordRep itk::Point< TCoordRep, NPointDimension >::CoordRepType

Definition at line 61 of file itkPoint.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef BaseArray::Iterator itk::Point< TCoordRep, NPointDimension >::Iterator

Definition at line 70 of file itkPoint.h.

typedef ValueType* itk::FixedArray< TCoordRep , VLength >::pointer
inherited

A pointer to the ValueType.

Definition at line 118 of file itkFixedArray.h.

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

Definition at line 63 of file itkPoint.h.

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

A reference to the ValueType.

Definition at line 124 of file itkFixedArray.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef Point itk::Point< TCoordRep, NPointDimension >::Self

Standard class typedefs.

Definition at line 55 of file itkPoint.h.

typedef unsigned int itk::FixedArray< TCoordRep , VLength >::SizeType
inherited

Definition at line 129 of file itkFixedArray.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef FixedArray< TCoordRep, NPointDimension > itk::Point< TCoordRep, NPointDimension >::Superclass

Definition at line 56 of file itkPoint.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
typedef TCoordRep itk::Point< TCoordRep, NPointDimension >::ValueType

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

Definition at line 60 of file itkPoint.h.

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

VectorType define the difference between two Points

Definition at line 78 of file itkPoint.h.

Constructor & Destructor Documentation

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

Default constructor has nothing to do.

Definition at line 81 of file itkPoint.h.

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

Pass-through constructors for the Array base class.

Definition at line 85 of file itkPoint.h.

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

Definition at line 87 of file itkPoint.h.

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

Definition at line 88 of file itkPoint.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
template<typename TPointValueType >
itk::Point< TCoordRep, NPointDimension >::Point ( const TPointValueType &  v)
inline

Definition at line 90 of file itkPoint.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
itk::Point< TCoordRep, NPointDimension >::Point ( const ValueType v)
inline

Definition at line 91 of file itkPoint.h.

Member Function Documentation

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

Get various iterators to the array.

Get an Iterator for the beginning of the FixedArray.

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

Get a ConstIterator for the beginning of the FixedArray.

template<typename TCoordRep, unsigned int NPointDimension = 3>
template<typename TCoordRepB >
void itk::Point< TCoordRep, NPointDimension >::CastFrom ( const Point< TCoordRepB, NPointDimension > &  pa)
inline
Iterator itk::FixedArray< TCoordRep , VLength >::End ( void  )
inherited

Get an Iterator for the end of the FixedArray.

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

Get a ConstIterator for the end of the FixedArray.

template<typename 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 258 of file itkPoint.h.

Referenced by itk::BresenhamLine< VDimension >::BuildLine(), itk::PolygonSpatialObject< TDimension >::ClosestPoint(), otb::GCPsToRPCSensorModelImageFilter< TImage >::ComputeErrors(), and itk::TubeSpatialObject< TDimension, TTubePointType >::IsInside().

void itk::FixedArray< TCoordRep , VLength >::Fill ( const ValueType &  )
inherited
static FixedArray itk::FixedArray< TCoordRep , VLength >::Filled ( const ValueType &  )
staticinherited

Return an FixedArray with all elements assigned to the given value.

ValueType* itk::FixedArray< TCoordRep , VLength >::GetDataPointer ( )
inlineinherited

Return a pointer to the data.

Definition at line 220 of file itkFixedArray.h.

const ValueType* itk::FixedArray< TCoordRep , VLength >::GetDataPointer ( ) const
inlineinherited

Definition at line 225 of file itkFixedArray.h.

const_reference itk::FixedArray< TCoordRep , VLength >::GetElement ( unsigned short  index) const
inlineinherited

Definition at line 217 of file itkFixedArray.h.

template<typename TCoordRep, unsigned int NPointDimension = 3>
static unsigned int itk::Point< TCoordRep, NPointDimension >::GetPointDimension ( )
inlinestatic

Get the dimension (size) of the point.

Definition at line 74 of file itkPoint.h.

template<typename T , unsigned int TPointDimension>
Point< T, TPointDimension >::VectorType itk::Point< T, TPointDimension >::GetVectorFromOrigin ( ) const
template<typename T , unsigned int TPointDimension>
vnl_vector_ref< T > itk::Point< T, TPointDimension >::GetVnlVector ( void  )
template<typename T , unsigned int TPointDimension>
vnl_vector< T > itk::Point< T, TPointDimension >::GetVnlVector ( void  ) const

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

Return a vnl_vector const

Definition at line 149 of file itkPoint.hxx.

template<typename TCoordRep, unsigned int NPointDimension = 3>
itk::Point< TCoordRep, NPointDimension >::itkLegacyMacro ( vnl_vector_ref< TCoordRep >   Get_vnl_vectorvoid)

Get a vnl_vector_ref referencing the same memory block

Deprecated:
Use GetVnlVector() instead.
template<typename TCoordRep, unsigned int NPointDimension = 3>
itk::Point< TCoordRep, NPointDimension >::itkLegacyMacro ( vnl_vector< TCoordRep > Get_vnl_vector(void)  const)

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

Deprecated:
Use GetVnlVector() instead.
template<typename TCoordRep, unsigned int NPointDimension = 3>
bool itk::Point< TCoordRep, NPointDimension >::operator!= ( const Self pt) const
inline

Compare two points for inequality.

Definition at line 111 of file itkPoint.h.

bool itk::FixedArray< TCoordRep , VLength >::operator!= ( const FixedArray< TCoordRep, NPointDimension > &  r) const
inlineinherited

Definition at line 191 of file itkFixedArray.h.

template<typename T , unsigned int TPointDimension>
Point< T, TPointDimension > itk::Point< T, TPointDimension >::operator+ ( const VectorType vec) const

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

Definition at line 87 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
const Point< T, TPointDimension > & itk::Point< T, TPointDimension >::operator+= ( const VectorType vec)

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

In place increment by a vector

Definition at line 57 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
Vector< T, TPointDimension > itk::Point< T, TPointDimension >::operator- ( const Self pnt) const

Computes the Vector difference between two points

Definition at line 121 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
Point< T, TPointDimension > itk::Point< T, TPointDimension >::operator- ( const VectorType vec) const

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

Definition at line 104 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
const Point< T, TPointDimension > & itk::Point< T, TPointDimension >::operator-= ( const VectorType vec)

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

In place subtract a vector

Definition at line 72 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
Point< T, TPointDimension > & itk::Point< T, TPointDimension >::operator= ( const Self r)

Pass-through assignment operator for the Array base class.

Assignment Operator

Definition at line 33 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
Point< T, TPointDimension > & itk::Point< T, TPointDimension >::operator= ( const ValueType  r[TPointDimension])

Assignment from a plain array

Definition at line 45 of file itkPoint.hxx.

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

Compare two points for equality.

Definition at line 100 of file itkPoint.h.

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.

Operator != compares different types of arrays.

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

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 197 of file itkFixedArray.h.

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

Definition at line 198 of file itkFixedArray.h.

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

Definition at line 199 of file itkFixedArray.h.

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

Definition at line 200 of file itkFixedArray.h.

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

Definition at line 201 of file itkFixedArray.h.

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

Definition at line 202 of file itkFixedArray.h.

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

Definition at line 203 of file itkFixedArray.h.

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

Definition at line 204 of file itkFixedArray.h.

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

Definition at line 205 of file itkFixedArray.h.

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

Definition at line 206 of file itkFixedArray.h.

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

Definition at line 207 of file itkFixedArray.h.

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

Definition at line 208 of file itkFixedArray.h.

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

Definition at line 209 of file itkFixedArray.h.

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

Definition at line 210 of file itkFixedArray.h.

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

Definition at line 211 of file itkFixedArray.h.

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

Definition at line 212 of file itkFixedArray.h.

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

Get a begin ReverseIterator.

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

Get a begin ConstReverseIterator.

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

Get an end ReverseIterator.

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

Get an end ConstReverseIterator.

void itk::FixedArray< TCoordRep , VLength >::SetElement ( unsigned short  index,
const_reference  value 
)
inlineinherited

Set/Get element methods are more convenient in wrapping languages

Definition at line 215 of file itkFixedArray.h.

template<typename T , unsigned int TPointDimension>
void itk::Point< T, TPointDimension >::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
AFirst point
BSecond point
alphaWeight 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

Set the point to the barycentric combination of two points

Definition at line 188 of file itkPoint.hxx.

Referenced by otb::DisparityMapToDEMFilter< TDisparityImage, TInputImage, TOutputDEMImage, TEpipolarGridImage, TMaskImage >::ThreadedGenerateData().

template<typename T , unsigned int TPointDimension>
void itk::Point< T, TPointDimension >::SetToBarycentricCombination ( const Self A,
const Self B,
const Self C,
double  weightForA,
double  weightForB 
)

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.

Set the point to the barycentric combination of three points

Definition at line 207 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
void itk::Point< T, TPointDimension >::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:

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

Set the point to the barycentric combination of N points

Definition at line 227 of file itkPoint.hxx.

template<typename T , unsigned int TPointDimension>
void itk::Point< T, TPointDimension >::SetToMidPoint ( const Self A,
const Self B 
)

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.

Set the point to the median point of the two arguments

Definition at line 174 of file itkPoint.hxx.

Referenced by otb::DisparityMapToDEMFilter< TDisparityImage, TInputImage, TOutputDEMImage, TEpipolarGridImage, TMaskImage >::ThreadedGenerateData().

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

Get the size of the FixedArray.

template<typename 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 241 of file itkPoint.h.

Referenced by itk::Point< Type, 2 >::EuclideanDistanceTo(), and itk::TubeSpatialObject< TDimension, TTubePointType >::IsInside().

Member Data Documentation

const unsigned int itk::FixedArray< TCoordRep , VLength >::Dimension
staticinherited

Dimension constant

Definition at line 57 of file itkFixedArray.h.

const unsigned int itk::FixedArray< TCoordRep , VLength >::Length
staticinherited

Length constant

Definition at line 54 of file itkFixedArray.h.

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

Dimension of the Space

Definition at line 66 of file itkPoint.h.


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

Generated at Sat Mar 8 2014 17:35:35 for Orfeo Toolbox with doxygen 1.8.3.1