#include <itkGaussianOperator.h>
Public Types | |
typedef TAllocator | AllocatorType |
typedef AllocatorType::const_iterator | ConstIterator |
typedef AllocatorType::iterator | Iterator |
typedef Offset< VDimension > | OffsetType |
typedef NumericTraits< TPixel > ::RealType | PixelRealType |
typedef TPixel | PixelType |
typedef ::itk::Size< VDimension > | RadiusType |
typedef GaussianOperator | Self |
typedef Superclass::SizeType | SizeType |
typedef SizeType::SizeValueType | SizeValueType |
typedef SliceIterator< TPixel, Self > | SliceIteratorType |
typedef NeighborhoodOperator < TPixel, VDimension, TAllocator > | Superclass |
Public Member Functions | |
virtual void | CreateDirectional () |
virtual void | CreateToRadius (const unsigned long) |
virtual void | CreateToRadius (const SizeType &) |
virtual void | FlipAxes () |
GaussianOperator () | |
unsigned int | GetCenterNeighborhoodIndex () const |
TPixel | GetCenterValue () const |
unsigned long | GetDirection () const |
double | GetMaximumError () |
unsigned int | GetMaximumKernelWidth () const |
virtual unsigned int | GetNeighborhoodIndex (const OffsetType &) const |
OffsetType | GetOffset (unsigned int i) const |
unsigned long | GetRadius (const unsigned long n) const |
const SizeType | GetRadius () const |
SizeType | GetSize () const |
unsigned long | GetSize (const unsigned long n) const |
std::slice | GetSlice (unsigned int) const |
unsigned | GetStride (const unsigned axis) const |
double | GetVariance () |
itkStaticConstMacro (NeighborhoodDimension, unsigned int, VDimension) | |
bool | operator!= (const Self &other) const |
bool | operator== (const Self &other) const |
void | Print (std::ostream &os) const |
void | ScaleCoefficients (PixelRealType) |
void | SetDirection (const unsigned long &direction) |
void | SetMaximumError (const double &max_error) |
void | SetMaximumKernelWidth (unsigned int n) |
void | SetRadius (const unsigned long) |
void | SetRadius (const SizeType &) |
void | SetVariance (const double &variance) |
unsigned int | Size () const |
ConstIterator | Begin () const |
Iterator | Begin () |
ConstIterator | End () const |
Iterator | End () |
GaussianOperator (const Self &other) | |
const AllocatorType & | GetBufferReference () const |
AllocatorType & | GetBufferReference () |
TPixel & | GetElement (unsigned int i) |
const TPixel & | operator[] (unsigned int i) const |
TPixel & | operator[] (unsigned int i) |
Self & | operator= (const Self &other) |
const TPixel & | operator[] (const OffsetType &o) const |
TPixel & | operator[] (const OffsetType &o) |
virtual void | PrintSelf (std::ostream &os, Indent i) const |
void | SetRadius (const unsigned long *rad) |
Protected Types | |
typedef Superclass::CoefficientVector | CoefficientVector |
Protected Member Functions | |
virtual void | Allocate (unsigned int i) |
virtual void | ComputeNeighborhoodOffsetTable () |
virtual void | ComputeNeighborhoodStrideTable () |
virtual void | Fill (const CoefficientVector &)=0 |
void | Fill (const CoefficientVector &coeff) |
virtual void | FillCenteredDirectional (const CoefficientVector &) |
CoefficientVector | GenerateCoefficients () |
double | ModifiedBesselI (int, double) |
double | ModifiedBesselI0 (double) |
double | ModifiedBesselI1 (double) |
void | InitializeToZero () |
void | SetSize () |
GaussianOperator can be used to perform Gaussian blurring by taking its inner product with to a Neighborhood (NeighborhooIterator) that is swept across an image region. It is a directional operator. N successive applications oriented along each dimensional direction will effect separable, efficient, N-D Gaussian blurring of an image region.
GaussianOperator takes two parameters:
(1) The floating-point variance of the desired Gaussian function.
(2) The "maximum error" allowed in the discrete Gaussian function. "Maximum errror" is defined as the difference between the area under the discrete Gaussian curve and the area under the continuous Gaussian. Maximum error affects the Gaussian operator size. Care should be taken not to make this value too small relative to the variance lest the operator size become unreasonably large.
References: The Gaussian kernel contained in this operator was described by Tony Lindeberg (Discrete Scale-Space Theory and the Scale-Space Primal Sketch. Dissertation. Royal Institute of Technology, Stockholm, Sweden. May 1991.).
Definition at line 61 of file itkGaussianOperator.h.
typedef TAllocator itk::Neighborhood< TPixel , VDimension, TAllocator >::AllocatorType [inherited] |
External support for allocator type.
Reimplemented in itk::BinaryBallStructuringElement< TPixel, VDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
Definition at line 63 of file itkNeighborhood.h.
typedef Superclass::CoefficientVector itk::GaussianOperator< TPixel, VDimension, TAllocator >::CoefficientVector [protected] |
Typedef support for coefficient vector type. Necessary to fix bug in the microsoft VC++ compiler.
Reimplemented from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.
Definition at line 147 of file itkGaussianOperator.h.
typedef AllocatorType::const_iterator itk::Neighborhood< TPixel , VDimension, TAllocator >::ConstIterator [inherited] |
Reimplemented in itk::BinaryBallStructuringElement< TPixel, VDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
Definition at line 75 of file itkNeighborhood.h.
typedef AllocatorType::iterator itk::Neighborhood< TPixel , VDimension, TAllocator >::Iterator [inherited] |
Iterator typedef support. Note the naming is intentional, i.e., iterator and const_iterator, because the allocator may be a vnl object or other type, which uses this form.
Reimplemented in itk::BinaryBallStructuringElement< TPixel, VDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
Definition at line 74 of file itkNeighborhood.h.
typedef Offset<VDimension> itk::Neighborhood< TPixel , VDimension, TAllocator >::OffsetType [inherited] |
Offset type used to reference neighbor locations
Reimplemented in itk::AnnulusOperator< TPixel, TDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
Definition at line 85 of file itkNeighborhood.h.
typedef NumericTraits< TPixel >::RealType itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::PixelRealType [inherited] |
Reimplemented in itk::DerivativeOperator< TPixel, VDimension, TAllocator >.
Definition at line 138 of file itkNeighborhoodOperator.h.
typedef TPixel itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::PixelType [inherited] |
External support for pixel type
Reimplemented from itk::Neighborhood< TPixel, VDimension, TAllocator >.
Reimplemented in itk::DerivativeOperator< TPixel, VDimension, TAllocator >, itk::ForwardDifferenceOperator< TPixel, VDimension, TAllocator >, and itk::LaplacianOperator< TPixel, VDimension, TAllocator >.
Definition at line 76 of file itkNeighborhoodOperator.h.
typedef ::itk::Size<VDimension> itk::Neighborhood< TPixel , VDimension, TAllocator >::RadiusType [inherited] |
Radius typedef support.
Reimplemented in itk::BinaryBallStructuringElement< TPixel, VDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
Definition at line 82 of file itkNeighborhood.h.
typedef GaussianOperator itk::GaussianOperator< TPixel, VDimension, TAllocator >::Self |
Standard class typedefs.
Reimplemented from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.
Definition at line 66 of file itkGaussianOperator.h.
typedef Superclass::SizeType itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::SizeType [inherited] |
Size object typedef support
Reimplemented from itk::Neighborhood< TPixel, VDimension, TAllocator >.
Reimplemented in itk::LaplacianOperator< TPixel, VDimension, TAllocator >.
Definition at line 73 of file itkNeighborhoodOperator.h.
typedef SizeType::SizeValueType itk::Neighborhood< TPixel , VDimension, TAllocator >::SizeValueType [inherited] |
Reimplemented in itk::AnnulusOperator< TPixel, TDimension, TAllocator >, itk::BinaryBallStructuringElement< TPixel, VDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
Definition at line 79 of file itkNeighborhood.h.
typedef SliceIterator<TPixel , Self> itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::SliceIteratorType [inherited] |
Slice iterator typedef support
Reimplemented from itk::Neighborhood< TPixel, VDimension, TAllocator >.
Definition at line 79 of file itkNeighborhoodOperator.h.
typedef NeighborhoodOperator<TPixel, VDimension, TAllocator> itk::GaussianOperator< TPixel, VDimension, TAllocator >::Superclass |
Reimplemented from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.
Definition at line 67 of file itkGaussianOperator.h.
itk::GaussianOperator< TPixel, VDimension, TAllocator >::GaussianOperator | ( | ) | [inline] |
Constructor.
Definition at line 70 of file itkGaussianOperator.h.
itk::GaussianOperator< TPixel, VDimension, TAllocator >::GaussianOperator | ( | const Self & | other | ) | [inline] |
Copy constructor
Definition at line 73 of file itkGaussianOperator.h.
References itk::GaussianOperator< TPixel, VDimension, TAllocator >::m_MaximumError, itk::GaussianOperator< TPixel, VDimension, TAllocator >::m_MaximumKernelWidth, and itk::GaussianOperator< TPixel, VDimension, TAllocator >::m_Variance.
virtual void itk::Neighborhood< TPixel , VDimension, TAllocator >::Allocate | ( | unsigned int | i | ) | [inline, protected, virtual, inherited] |
Allocates the neighborhood's memory buffer.
Definition at line 243 of file itkNeighborhood.h.
ConstIterator itk::Neighborhood< TPixel , VDimension, TAllocator >::Begin | ( | void | ) | const [inline, inherited] |
STL-style iterator support.
Definition at line 159 of file itkNeighborhood.h.
Iterator itk::Neighborhood< TPixel , VDimension, TAllocator >::Begin | ( | void | ) | [inline, inherited] |
STL-style iterator support.
Definition at line 155 of file itkNeighborhood.h.
virtual void itk::Neighborhood< TPixel , VDimension, TAllocator >::ComputeNeighborhoodOffsetTable | ( | ) | [protected, virtual, inherited] |
Fills entries into the offset lookup table. Called once on initialization.
virtual void itk::Neighborhood< TPixel , VDimension, TAllocator >::ComputeNeighborhoodStrideTable | ( | ) | [protected, virtual, inherited] |
Computes the entries for the stride table
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::CreateDirectional | ( | ) | [virtual, inherited] |
Creates the operator with length only in the specified direction. The radius of the operator will be 0 except along the axis on which the operator will work.
FillCenteredDirectional
SetDirection()
GetDirection()
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::CreateToRadius | ( | const unsigned | long | ) | [virtual, inherited] |
Creates the operator with a specified radius ("square", same length on each side). The spatial location of the coefficients within the operator is defined by the subclass implementation of the Fill method.
Fill
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::CreateToRadius | ( | const SizeType & | ) | [virtual, inherited] |
Creates the operator with a specified radius. The spatial location of the coefficients within the operator is defined by the subclass implementation of the Fill method.
Fill
ConstIterator itk::Neighborhood< TPixel , VDimension, TAllocator >::End | ( | void | ) | const [inline, inherited] |
STL-style iterator support.
Definition at line 157 of file itkNeighborhood.h.
Iterator itk::Neighborhood< TPixel , VDimension, TAllocator >::End | ( | void | ) | [inline, inherited] |
STL-style iterator support.
Definition at line 153 of file itkNeighborhood.h.
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::Fill | ( | const CoefficientVector & | ) | [protected, pure virtual, inherited] |
A subclass-specific algorithm that positions the coefficients spatially in the operator.
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::Fill | ( | const CoefficientVector & | coeff | ) | [inline, protected] |
Arranges coefficients spatially in the memory buffer.
Definition at line 164 of file itkGaussianOperator.h.
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::FillCenteredDirectional | ( | const CoefficientVector & | ) | [protected, virtual, inherited] |
A pre-defined Fill function that can be called by a subclass Fill function to center coefficients along the axis specified by the SetDirection method. Useful for creating directional operators, or centering coefficients in an N-dimensional neighborhood.
virtual void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::FlipAxes | ( | ) | [virtual, inherited] |
Reverses the direction of all axes of the operator by reversing the order of the coefficients.
CoefficientVector itk::GaussianOperator< TPixel, VDimension, TAllocator >::GenerateCoefficients | ( | ) | [protected, virtual] |
Calculates operator coefficients.
Implements itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.
const AllocatorType& itk::Neighborhood< TPixel , VDimension, TAllocator >::GetBufferReference | ( | ) | const [inline, inherited] |
Returns a reference to the data buffer structure.
Definition at line 206 of file itkNeighborhood.h.
AllocatorType& itk::Neighborhood< TPixel , VDimension, TAllocator >::GetBufferReference | ( | ) | [inline, inherited] |
Returns a reference to the data buffer structure.
Definition at line 204 of file itkNeighborhood.h.
unsigned int itk::Neighborhood< TPixel , VDimension, TAllocator >::GetCenterNeighborhoodIndex | ( | ) | const [inline, inherited] |
Definition at line 224 of file itkNeighborhood.h.
TPixel itk::Neighborhood< TPixel , VDimension, TAllocator >::GetCenterValue | ( | ) | const [inline, inherited] |
Returns the element at the center of the neighborhood.
Definition at line 177 of file itkNeighborhood.h.
unsigned long itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::GetDirection | ( | ) | const [inline, inherited] |
Returns the direction (dimension number) of a directional operator.
Definition at line 104 of file itkNeighborhoodOperator.h.
TPixel & itk::Neighborhood< TPixel , VDimension, TAllocator >::GetElement | ( | unsigned int | i | ) | [inline, inherited] |
Pass-through data access methods to the buffer.
Definition at line 172 of file itkNeighborhood.h.
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::GetMaximumError | ( | ) | [inline] |
Returns the maximum error of the gaussian approximation. Maximum error is the difference between the area under the discrete Gaussian curve and the area under the continuous Gaussian. Maximum error affects the Gaussian operator size.
Definition at line 121 of file itkGaussianOperator.h.
unsigned int itk::GaussianOperator< TPixel, VDimension, TAllocator >::GetMaximumKernelWidth | ( | ) | const [inline] |
Returns the maximum allowed kernel width.
Definition at line 132 of file itkGaussianOperator.h.
virtual unsigned int itk::Neighborhood< TPixel , VDimension, TAllocator >::GetNeighborhoodIndex | ( | const OffsetType & | ) | const [virtual, inherited] |
OffsetType itk::Neighborhood< TPixel , VDimension, TAllocator >::GetOffset | ( | unsigned int | i | ) | const [inline, inherited] |
Returns the itk::Offset from the center of the Neighborhood to the requested neighbor index.
Definition at line 219 of file itkNeighborhood.h.
unsigned long itk::Neighborhood< TPixel , VDimension, TAllocator >::GetRadius | ( | const unsigned long | n | ) | const [inline, inherited] |
Returns the radius of the neighborhood along a specified dimension.
Definition at line 134 of file itkNeighborhood.h.
const SizeType itk::Neighborhood< TPixel , VDimension, TAllocator >::GetRadius | ( | void | ) | const [inline, inherited] |
Returns the radius of the neighborhood.
Definition at line 129 of file itkNeighborhood.h.
SizeType itk::Neighborhood< TPixel , VDimension, TAllocator >::GetSize | ( | void | ) | const [inline, inherited] |
Returns the size (total length of sides) of the neighborhood.
Definition at line 143 of file itkNeighborhood.h.
unsigned long itk::Neighborhood< TPixel , VDimension, TAllocator >::GetSize | ( | const unsigned long | n | ) | const [inline, inherited] |
Returns the size (total length) of the neighborhood along a specified dimension.
Definition at line 139 of file itkNeighborhood.h.
std::slice itk::Neighborhood< TPixel , VDimension, TAllocator >::GetSlice | ( | unsigned | int | ) | const [inherited] |
unsigned itk::Neighborhood< TPixel , VDimension, TAllocator >::GetStride | ( | const unsigned | axis | ) | const [inline, inherited] |
Returns the stride length for the specified dimension. Stride length is the number of pixels between adjacent pixels along the given dimension.
Definition at line 149 of file itkNeighborhood.h.
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::GetVariance | ( | ) | [inline] |
Returns the variance of the Gaussian (scale) for the operator.
Definition at line 114 of file itkGaussianOperator.h.
void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::InitializeToZero | ( | ) | [inline, protected, inherited] |
Initializes all the coefficients in the neighborhood to zero values
Definition at line 164 of file itkNeighborhoodOperator.h.
itk::Neighborhood< TPixel , VDimension, TAllocator >::itkStaticConstMacro | ( | NeighborhoodDimension | , | |
unsigned | int, | |||
VDimension | ||||
) | [inherited] |
External support for dimensionality.
Reimplemented in itk::BinaryBallStructuringElement< TPixel, VDimension, TAllocator >, and itk::BinaryCrossStructuringElement< TPixel, VDimension, TAllocator >.
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::ModifiedBesselI | ( | int | , | |
double | ||||
) | [protected] |
Returns the value of the modified Bessel function Ik(x) at a point x>=0, where k>=2.
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::ModifiedBesselI0 | ( | double | ) | [protected] |
Returns the value of the modified Bessel function I0(x) at a point x >= 0.
double itk::GaussianOperator< TPixel, VDimension, TAllocator >::ModifiedBesselI1 | ( | double | ) | [protected] |
Returns the value of the modified Bessel function I1(x) at a point x, x real.
bool itk::Neighborhood< TPixel , VDimension, TAllocator >::operator!= | ( | const Self & | other | ) | const [inline, inherited] |
Not Equal operator.
Definition at line 121 of file itkNeighborhood.h.
Self& itk::GaussianOperator< TPixel, VDimension, TAllocator >::operator= | ( | const Self & | other | ) | [inline] |
Assignment operator
Definition at line 83 of file itkGaussianOperator.h.
References itk::GaussianOperator< TPixel, VDimension, TAllocator >::m_MaximumError, itk::GaussianOperator< TPixel, VDimension, TAllocator >::m_MaximumKernelWidth, and itk::GaussianOperator< TPixel, VDimension, TAllocator >::m_Variance.
bool itk::Neighborhood< TPixel , VDimension, TAllocator >::operator== | ( | const Self & | other | ) | const [inline, inherited] |
Comparison operator.
Definition at line 113 of file itkNeighborhood.h.
const TPixel & itk::Neighborhood< TPixel , VDimension, TAllocator >::operator[] | ( | const OffsetType & | o | ) | const [inline, inherited] |
Get pixel value by offset
Definition at line 213 of file itkNeighborhood.h.
TPixel & itk::Neighborhood< TPixel , VDimension, TAllocator >::operator[] | ( | const OffsetType & | o | ) | [inline, inherited] |
Get pixel value by offset
Definition at line 211 of file itkNeighborhood.h.
const TPixel & itk::Neighborhood< TPixel , VDimension, TAllocator >::operator[] | ( | unsigned int | i | ) | const [inline, inherited] |
Pass-through data access methods to the buffer.
Definition at line 170 of file itkNeighborhood.h.
TPixel & itk::Neighborhood< TPixel , VDimension, TAllocator >::operator[] | ( | unsigned int | i | ) | [inline, inherited] |
Pass-through data access methods to the buffer.
Definition at line 168 of file itkNeighborhood.h.
void itk::Neighborhood< TPixel , VDimension, TAllocator >::Print | ( | std::ostream & | os | ) | const [inline, inherited] |
Standard itk object method.
Definition at line 200 of file itkNeighborhood.h.
virtual void itk::GaussianOperator< TPixel, VDimension, TAllocator >::PrintSelf | ( | std::ostream & | os, | |
Indent | i | |||
) | const [inline, virtual] |
Prints some debugging information.
Reimplemented from itk::NeighborhoodOperator< TPixel, VDimension, TAllocator >.
Definition at line 136 of file itkGaussianOperator.h.
References itk::Indent::GetNextIndent(), and HardConnectedComponentImageFilter::PrintSelf().
void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::ScaleCoefficients | ( | PixelRealType | ) | [inherited] |
Multiplies all of the coefficients of the kernel by a single scalar value.
void itk::NeighborhoodOperator< TPixel , VDimension, TAllocator >::SetDirection | ( | const unsigned long & | direction | ) | [inline, inherited] |
Sets the dimensional direction of a directional operator.
Definition at line 100 of file itkNeighborhoodOperator.h.
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::SetMaximumError | ( | const double & | max_error | ) | [inline] |
Sets the desired maximum error of the gaussian approximation. Maximum error is the difference between the area under the discrete Gaussian curve and the area under the continuous Gaussian. Maximum error affects the Gaussian operator size. The value must be between 0.0 and 1.0.
Definition at line 103 of file itkGaussianOperator.h.
References itkExceptionMacro.
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::SetMaximumKernelWidth | ( | unsigned int | n | ) | [inline] |
Sets a limit for growth of the kernel. Small maximum error values with large variances will yield very large kernel sizes. This value can be used to truncate a kernel in such instances. A warning will be given on truncation of the kernel.
Definition at line 128 of file itkGaussianOperator.h.
void itk::Neighborhood< TPixel , VDimension, TAllocator >::SetRadius | ( | const unsigned | long | ) | [inherited] |
Overloads SetRadius to allow a single long integer argument that is used as the radius of all the dimensions of the Neighborhood (resulting in a "square" neighborhood).
void itk::Neighborhood< TPixel , VDimension, TAllocator >::SetRadius | ( | const unsigned long * | rad | ) | [inline, inherited] |
Sets the radius for the neighborhood. Overloaded to support an unsigned long array.
Definition at line 186 of file itkNeighborhood.h.
void itk::Neighborhood< TPixel , VDimension, TAllocator >::SetRadius | ( | const SizeType & | ) | [inherited] |
Sets the radius for the neighborhood, calculates size from the radius, and allocates storage.
void itk::Neighborhood< TPixel , VDimension, TAllocator >::SetSize | ( | ) | [inline, protected, inherited] |
Sets the length along each dimension.
Definition at line 233 of file itkNeighborhood.h.
void itk::GaussianOperator< TPixel, VDimension, TAllocator >::SetVariance | ( | const double & | variance | ) | [inline] |
Sets the desired variance of the Gaussian kernel.
Definition at line 94 of file itkGaussianOperator.h.
unsigned int itk::Neighborhood< TPixel , VDimension, TAllocator >::Size | ( | void | ) | const [inline, inherited] |
More STL-style support.
Definition at line 164 of file itkNeighborhood.h.