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itk::FlatStructuringElement< VDimension > Class Template Reference

#include <itkFlatStructuringElement.h>

+ Inheritance diagram for itk::FlatStructuringElement< VDimension >:
+ Collaboration diagram for itk::FlatStructuringElement< VDimension >:

Detailed Description

template<unsigned int VDimension>
class itk::FlatStructuringElement< VDimension >

A class to support a variety of flat structuring elements, including versions created by decomposition of lines.

FlatStructuringElement provides several static methods, which can be used to create a structuring element with a particular shape, size, etc. Currently, those methods enable the creation of the following structuring elements: ball, box, cross, annulus, or polygon. Polygons are available as fast approximations of balls using line decompositions. Boxes also use line decompositions.

"Flat" refers to binary as opposed to grayscale structuring elements. Flat structuring elements can be used for both binary and grayscale images.

A Neighborhood has an N-dimensional radius. The radius is defined separately for each dimension as the number of pixels that the neighborhood extends outward from the center pixel. For example, a 2D Neighborhood object with a radius of 2x3 has sides of length 5x7. However, in the case of balls and annuli, this definition is slightly different from the parametric definition of those objects. For example, an ellipse of radius 2x3 has a diameter of 4x6, not 5x7. To have a diameter of 5x7, the radius would need to increase by 0.5 in each dimension. Thus, the "radius" of the neighborhood and the "radius" of the object should be distinguished.

To accomplish this, the "ball" and "annulus" structuring elements have an optional flag called "radiusIsParametric" (off by default). Setting this flag to true will use the parametric definition of the object and will generate structuring elements with more accurate areas, which can be especially important when morphological operations are intended to remove or retain objects of particular sizes. When the mode is turned off (default), the radius is the same, but the object diameter is set to (radius*2)+1, which is the size of the neighborhood region. Thus, the original ball and annulus structuring elements have a systematic bias in the radius of +0.5 voxels in each dimension relative to the parametric definition of the radius. Thus, we recommend turning this mode on for more accurate structuring elements, but this mode is turned off by default for backward compatibility.

As an example, a 3D ball of radius 5 should have an area of 523. With this mode turned on, the number of "on" pixels is 515 (error 1.6%), but with it turned off, the area is 739 (error 41%). For a 3D annulus of radius 5 and thickness 2, the area should be 410. With this mode turned on, the area is 392 (error 4.5%), but when turned off it is 560 (error 36%). This same trend holds for balls and annuli of any radius or dimension. For more detailed experiments with this mode, please refer to the results of the test itkFlatStructuringElementTest.cxx or the wiki example.

Wiki Examples:
Wiki Examples:

Definition at line 88 of file itkFlatStructuringElement.h.

Classes

struct  StructuringElementFacet
 

Public Types

typedef Superclass::ConstIterator ConstIterator
 
typedef std::vector< LTypeDecompType
 
typedef Superclass::Iterator Iterator
 
typedef Vector< float, VDimension > LType
 
typedef Superclass::OffsetType OffsetType
 
typedef Superclass::PixelType PixelType
 
typedef Superclass::RadiusType RadiusType
 
typedef FlatStructuringElement
< VDimension > 
Self
 
typedef Superclass::SizeType SizeType
 
typedef
Superclass::SliceIteratorType 
SliceIteratorType
 
typedef Neighborhood< bool,
VDimension > 
Superclass
 
- Public Types inherited from itk::Neighborhood< bool, VDimension >
typedef NeighborhoodAllocator
< bool > 
AllocatorType
 
typedef
AllocatorType::const_iterator 
ConstIterator
 
typedef unsigned int DimensionValueType
 
typedef AllocatorType::iterator Iterator
 
typedef SizeValueType NeighborIndexType
 
typedef Offset< VDimension > OffsetType
 
typedef bool PixelType
 
typedef Neighborhood Self
 
typedef SizeType::SizeValueType SizeValueType
 
typedef SliceIterator< bool, SelfSliceIteratorType
 

Public Member Functions

bool CheckParallel (LType NewVec) const
 
void ComputeBufferFromLines ()
 
 FlatStructuringElement ()
 
virtual ~FlatStructuringElement ()
 
bool GetDecomposable () const
 
void SetDecomposable (bool v)
 
const DecompTypeGetLines () const
 
void AddLine (LType l)
 
bool GetRadiusIsParametric () const
 
void SetRadiusIsParametric (bool flag)
 
virtual void RadiusIsParametricOn ()
 
virtual void RadiusIsParametricOff ()
 
- Public Member Functions inherited from itk::Neighborhood< bool, VDimension >
NeighborIndexType GetCenterNeighborhoodIndex () const
 
bool GetCenterValue () const
 
virtual NeighborIndexType GetNeighborhoodIndex (const OffsetType &) const
 
OffsetType GetOffset (NeighborIndexType i) const
 
const SizeType GetRadius () const
 
SizeValueType GetRadius (DimensionValueType n) const
 
SizeValueType GetSize (DimensionValueType n) const
 
SizeType GetSize () const
 
std::slice GetSlice (unsigned int) const
 
OffsetValueType GetStride (DimensionValueType axis) const
 
 Neighborhood (const Self &other)
 
bool operator!= (const Self &other) const
 
Selfoperator= (const Self &other)
 
bool operator== (const Self &other) const
 
void Print (std::ostream &os) const
 
void SetRadius (const SizeType &)
 
void SetRadius (const SizeValueType)
 
NeighborIndexType Size () const
 
virtual ~Neighborhood ()
 
 Neighborhood ()
 
Iterator End ()
 
ConstIterator End () const
 
Iterator Begin ()
 
ConstIterator Begin () const
 
bool & operator[] (NeighborIndexType i)
 
const bool & operator[] (NeighborIndexType i) const
 
bool & GetElement (NeighborIndexType i)
 
bool & operator[] (const OffsetType &o)
 
const bool & operator[] (const OffsetType &o) const
 
void SetRadius (const SizeValueType *rad)
 
AllocatorTypeGetBufferReference ()
 
const AllocatorTypeGetBufferReference () const
 

Static Public Member Functions

static Self Annulus (RadiusType radius, unsigned int thickness=1, bool includeCenter=false, bool radiusIsParametric=false)
 
static Self Ball (RadiusType radius, bool radiusIsParametric=false)
 
static Self Box (RadiusType radius)
 
static Self Cross (RadiusType radius)
 
static Self Polygon (RadiusType radius, unsigned lines)
 

Static Public Attributes

static const unsigned int NeighborhoodDimension = VDimension
 
- Static Public Attributes inherited from itk::Neighborhood< bool, VDimension >
static const unsigned int NeighborhoodDimension
 

Protected Member Functions

void PrintSelf (std::ostream &os, Indent indent) const
 
- Protected Member Functions inherited from itk::Neighborhood< bool, VDimension >
virtual void Allocate (NeighborIndexType i)
 
virtual void ComputeNeighborhoodOffsetTable ()
 
virtual void ComputeNeighborhoodStrideTable ()
 
void SetSize ()
 

Private Types

typedef
StructuringElementFacet
< VDimension > 
FacetType
 
typedef
StructuringElementFacet< 3 > 
FacetType3
 
typedef Vector< float, 2 > LType2
 
typedef Vector< float, 3 > LType3
 

Static Private Member Functions

template<typename TStructuringElement , typename TRadius >
static void GeneratePolygon (TStructuringElement &res, TRadius radius, unsigned lines)
 
static void GeneratePolygon (itk::FlatStructuringElement< 2 > &res, itk::Size< 2 > radius, unsigned lines)
 
static void GeneratePolygon (itk::FlatStructuringElement< 3 > &res, itk::Size< 3 > radius, unsigned lines)
 

Private Attributes

bool m_Decomposable
 
DecompType m_Lines
 
bool m_RadiusIsParametric
 

Additional Inherited Members

- Public Attributes inherited from itk::Neighborhood< bool, VDimension >
typedef::itk::Size< VDimension > RadiusType
 
typedef::itk::Size< VDimension > SizeType
 

Member Typedef Documentation

template<unsigned int VDimension>
typedef Superclass::ConstIterator itk::FlatStructuringElement< VDimension >::ConstIterator

Definition at line 102 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef std::vector< LType > itk::FlatStructuringElement< VDimension >::DecompType

Definition at line 118 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef StructuringElementFacet< VDimension > itk::FlatStructuringElement< VDimension >::FacetType
private

Definition at line 221 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef StructuringElementFacet< 3 > itk::FlatStructuringElement< VDimension >::FacetType3
private

Definition at line 231 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Superclass::Iterator itk::FlatStructuringElement< VDimension >::Iterator

Iterator typedef support. Note the naming is intentional, i.e., AllocatorType::iterator and AllocatorType::const_iterator, because the allocator may be a vnl object or other type, which uses this form.

Definition at line 101 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Vector< float, VDimension > itk::FlatStructuringElement< VDimension >::LType

Definition at line 117 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Vector< float, 2 > itk::FlatStructuringElement< VDimension >::LType2
private

Definition at line 228 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Vector< float, 3 > itk::FlatStructuringElement< VDimension >::LType3
private

Definition at line 230 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Superclass::OffsetType itk::FlatStructuringElement< VDimension >::OffsetType

Definition at line 106 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Superclass::PixelType itk::FlatStructuringElement< VDimension >::PixelType

External support for pixel type.

Definition at line 96 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Superclass::RadiusType itk::FlatStructuringElement< VDimension >::RadiusType

Radius typedef support.

Definition at line 109 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef FlatStructuringElement< VDimension > itk::FlatStructuringElement< VDimension >::Self

Standard class typedefs.

Definition at line 92 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Superclass::SizeType itk::FlatStructuringElement< VDimension >::SizeType

Size and value typedef support.

Definition at line 105 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Superclass::SliceIteratorType itk::FlatStructuringElement< VDimension >::SliceIteratorType

External slice iterator type typedef support.

Definition at line 112 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
typedef Neighborhood< bool, VDimension > itk::FlatStructuringElement< VDimension >::Superclass

Definition at line 93 of file itkFlatStructuringElement.h.

Constructor & Destructor Documentation

template<unsigned int VDimension>
virtual itk::FlatStructuringElement< VDimension >::~FlatStructuringElement ( )
inlinevirtual

Default destructor.

Definition at line 121 of file itkFlatStructuringElement.h.

template<unsigned int VDimension>
itk::FlatStructuringElement< VDimension >::FlatStructuringElement ( )
inline

Member Function Documentation

template<unsigned int VDimension>
void itk::FlatStructuringElement< VDimension >::AddLine ( LType  l)
inline

Return the lines associated with the structuring element

Definition at line 177 of file itkFlatStructuringElement.h.

References itk::FlatStructuringElement< VDimension >::m_Lines.

template<unsigned int VDimension>
static Self itk::FlatStructuringElement< VDimension >::Annulus ( RadiusType  radius,
unsigned int  thickness = 1,
bool  includeCenter = false,
bool  radiusIsParametric = false 
)
static

Create an annulus structuring element

template<unsigned int VDimension>
static Self itk::FlatStructuringElement< VDimension >::Ball ( RadiusType  radius,
bool  radiusIsParametric = false 
)
static

Create a ball structuring element

template<unsigned int VDimension>
static Self itk::FlatStructuringElement< VDimension >::Box ( RadiusType  radius)
static

Various constructors Create a box structuring element. The structuring element is is decomposable.

Referenced by itk::KernelImageFilter< TImage, TImage, TKernel >::MakeKernel().

template<unsigned int VDimension>
bool itk::FlatStructuringElement< VDimension >::CheckParallel ( LType  NewVec) const
template<unsigned int VDimension>
void itk::FlatStructuringElement< VDimension >::ComputeBufferFromLines ( )

Fill the buffer of the structuring element based on the lines associated to the structuring element

template<unsigned int VDimension>
static Self itk::FlatStructuringElement< VDimension >::Cross ( RadiusType  radius)
static

Create a cross structuring element

template<unsigned int VDimension>
template<typename TStructuringElement , typename TRadius >
static void itk::FlatStructuringElement< VDimension >::GeneratePolygon ( TStructuringElement &  res,
TRadius  radius,
unsigned  lines 
)
staticprivate
template<unsigned int VDimension>
static void itk::FlatStructuringElement< VDimension >::GeneratePolygon ( itk::FlatStructuringElement< 2 > &  res,
itk::Size< 2 >  radius,
unsigned  lines 
)
staticprivate
template<unsigned int VDimension>
static void itk::FlatStructuringElement< VDimension >::GeneratePolygon ( itk::FlatStructuringElement< 3 > &  res,
itk::Size< 3 >  radius,
unsigned  lines 
)
staticprivate
template<unsigned int VDimension>
bool itk::FlatStructuringElement< VDimension >::GetDecomposable ( ) const
inline

Returns whether the structuring element is decomposable or not. If the structuring is decomposable, the set of lines associated with the structuring may be used by an algorithm instead of the standard buffer.

Definition at line 162 of file itkFlatStructuringElement.h.

References itk::FlatStructuringElement< VDimension >::m_Decomposable.

Referenced by itk::KernelImageFilter< TImage, TImage, TKernel >::MakeKernel().

template<unsigned int VDimension>
const DecompType& itk::FlatStructuringElement< VDimension >::GetLines ( ) const
inline

Return the lines associated with the structuring element

Definition at line 173 of file itkFlatStructuringElement.h.

References itk::FlatStructuringElement< VDimension >::m_Lines.

template<unsigned int VDimension>
bool itk::FlatStructuringElement< VDimension >::GetRadiusIsParametric ( ) const
inline

The RadiusIsParametric mode ensures that the area of the foreground corresponds to the radius that was specified. This defaults to "off" for backward compatibility.

Definition at line 196 of file itkFlatStructuringElement.h.

References itk::FlatStructuringElement< VDimension >::m_RadiusIsParametric.

template<unsigned int VDimension>
static Self itk::FlatStructuringElement< VDimension >::Polygon ( RadiusType  radius,
unsigned  lines 
)
static

Create a polygon structuring element. The structuring element is is decomposable. lines is the number of elements in the decomposition

template<unsigned int VDimension>
void itk::FlatStructuringElement< VDimension >::PrintSelf ( std::ostream &  ,
Indent   
) const
protectedvirtual

Standard itk object method.

Reimplemented from itk::Neighborhood< bool, VDimension >.

template<unsigned int VDimension>
virtual void itk::FlatStructuringElement< VDimension >::RadiusIsParametricOff ( )
virtual

The RadiusIsParametric mode ensures that the area of the foreground corresponds to the radius that was specified. This defaults to "off" for backward compatibility.

template<unsigned int VDimension>
virtual void itk::FlatStructuringElement< VDimension >::RadiusIsParametricOn ( )
virtual

The RadiusIsParametric mode ensures that the area of the foreground corresponds to the radius that was specified. This defaults to "off" for backward compatibility.

template<unsigned int VDimension>
void itk::FlatStructuringElement< VDimension >::SetDecomposable ( bool  v)
inline

Returns whether the structuring element is decomposable or not. If the structuring is decomposable, the set of lines associated with the structuring may be used by an algorithm instead of the standard buffer.

Definition at line 166 of file itkFlatStructuringElement.h.

References itk::FlatStructuringElement< VDimension >::m_Decomposable.

template<unsigned int VDimension>
void itk::FlatStructuringElement< VDimension >::SetRadiusIsParametric ( bool  flag)
inline

The RadiusIsParametric mode ensures that the area of the foreground corresponds to the radius that was specified. This defaults to "off" for backward compatibility.

Definition at line 200 of file itkFlatStructuringElement.h.

References itk::FlatStructuringElement< VDimension >::m_RadiusIsParametric.

Member Data Documentation

template<unsigned int VDimension>
bool itk::FlatStructuringElement< VDimension >::m_Decomposable
private
template<unsigned int VDimension>
DecompType itk::FlatStructuringElement< VDimension >::m_Lines
private
template<unsigned int VDimension>
bool itk::FlatStructuringElement< VDimension >::m_RadiusIsParametric
private
template<unsigned int VDimension>
const unsigned int itk::FlatStructuringElement< VDimension >::NeighborhoodDimension = VDimension
static

External support for dimensionality.

Definition at line 115 of file itkFlatStructuringElement.h.


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