#include <itkPoint.h>

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

Collaboration diagram for itk::Point< TCoordRep, 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

Wiki Examples:

All Examples

Distance between two points

Distance between two indices

Definition at line 51 of file itkPoint.h.

Public Types
typedef FixedArray< TCoordRep, NPointDimension >	BaseArray

typedef BaseArray::ConstIterator	ConstIterator

typedef TCoordRep	CoordRepType

typedef BaseArray::Iterator	Iterator

typedef NumericTraits < ValueType >::RealType	RealType

typedef Point	Self

typedef FixedArray< TCoordRep, NPointDimension >	Superclass

typedef TCoordRep	ValueType

typedef Vector< ValueType, NPointDimension >	VectorType

Public Types inherited from itk::FixedArray< TCoordRep, NPointDimension >
typedef ValueType	CArray [VLength]

typedef const ValueType *	const_pointer

typedef const ValueType &	const_reference

typedef const ValueType *	ConstIterator

typedef ValueType *	Iterator

typedef ValueType *	pointer

typedef ValueType &	reference

typedef unsigned int	SizeType

typedef TCoordRep	ValueType

Public Member Functions
template<typename TCoordRepB >
RealType	EuclideanDistanceTo (const Point< TCoordRepB, NPointDimension > &pa) 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

Self	operator+ (const VectorType &vec) const

const Self &	operator+= (const VectorType &vec)

VectorType	operator- (const Self &pnt) const

Self	operator- (const VectorType &vec) const

const Self &	operator-= (const VectorType &vec)

Point &	operator= (const Self &r)

Point &	operator= (const ValueType r[NPointDimension])

bool	operator== (const Self &pt) const

	Point ()

void	SetToMidPoint (const Self &, const Self &)

template<typename TCoordRepB >
RealType	SquaredEuclideanDistanceTo (const Point< TCoordRepB, NPointDimension > &pa) const


template<class TPointValueType >
	Point (const Point< TPointValueType, NPointDimension > &r)

	Point (const ValueType r[NPointDimension])

	Point (const ValueType &v)


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)


template<typename TCoordRepB >
void	CastFrom (const Point< TCoordRepB, NPointDimension > &pa)

Public Member Functions inherited from itk::FixedArray< TCoordRep, NPointDimension >
Iterator	Begin ()

ConstIterator	Begin () const

Iterator	End ()

ConstIterator	End () const

void	Fill (const ValueType &)

ValueType *	GetDataPointer ()

const ValueType *	GetDataPointer () const

bool	operator!= (const FixedArray &r) const

FixedArray &	operator= (const ValueType r[VLength])

bool	operator== (const FixedArray &r) const

ReverseIterator	rBegin ()

ConstReverseIterator	rBegin () const

ReverseIterator	rEnd ()

ConstReverseIterator	rEnd () const

SizeType	Size () const

	FixedArray ()

	FixedArray (const ValueType r[VLength])

	FixedArray (const ValueType &r)

	FixedArray (const FixedArray< TFixedArrayValueType, VLength > &r)

FixedArray &	operator= (const FixedArray< TFixedArrayValueType, VLength > &r)

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

void	SetElement (unsigned short index, const_reference value)

const_reference	GetElement (unsigned short index) const

Static Public Member Functions
static unsigned int	GetPointDimension ()

Static Public Member Functions inherited from itk::FixedArray< TCoordRep, NPointDimension >
static FixedArray	Filled (const ValueType &)

Static Public Attributes
static const unsigned int	PointDimension = NPointDimension

Static Public Attributes inherited from itk::FixedArray< TCoordRep, NPointDimension >
static const unsigned int	Dimension

static const unsigned int	Length

Member Typedef Documentation

template<class 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.

template<class TCoordRep, unsigned int NPointDimension = 3>

typedef BaseArray::ConstIterator itk::Point< TCoordRep, NPointDimension >::ConstIterator

Definition at line 71 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

typedef TCoordRep itk::Point< TCoordRep, NPointDimension >::CoordRepType

Definition at line 61 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

typedef BaseArray::Iterator itk::Point< TCoordRep, NPointDimension >::Iterator

Definition at line 70 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

typedef NumericTraits< ValueType >::RealType itk::Point< TCoordRep, NPointDimension >::RealType

Definition at line 63 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

typedef Point itk::Point< TCoordRep, NPointDimension >::Self

Standard class typedefs.

Definition at line 55 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

typedef FixedArray< TCoordRep, NPointDimension > itk::Point< TCoordRep, NPointDimension >::Superclass

Definition at line 56 of file itkPoint.h.

template<class 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<class 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<class 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<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 85 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

itk::Point< TCoordRep, NPointDimension >::Point ( const ValueType r[NPointDimension] )

inline

Pass-through constructors for the Array base class.

Definition at line 86 of file itkPoint.h.

template<class TCoordRep, unsigned int NPointDimension = 3>

itk::Point< TCoordRep, NPointDimension >::Point ( const ValueType & v )

inline

Pass-through constructors for the Array base class.

Definition at line 87 of file itkPoint.h.

Member Function Documentation

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 228 of file itkPoint.h.

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 259 of file itkPoint.h.

template<class 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<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_ref< TCoordRep > itk::Point< TCoordRep, NPointDimension >::GetVnlVector ( void )

Get a vnl_vector_ref referencing the same memory block

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>

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<class 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<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 108 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>

VectorType itk::Point< TCoordRep, NPointDimension >::operator- ( const Self & pnt ) const

Computes the Vector difference between two points

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>

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 Self & r )

Pass-through assignment operator for the Array base class.

template<class TCoordRep, unsigned int NPointDimension = 3>

Point& itk::Point< TCoordRep, NPointDimension >::operator= ( const ValueType r[NPointDimension] )

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 97 of file itkPoint.h.

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 >::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 *	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 >::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.

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 242 of file itkPoint.h.

Referenced by itk::Point< double, TPointDimension >::EuclideanDistanceTo().

Member Data Documentation

template<class 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 file:

itkPoint.h

Detailed Description

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

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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