ITK  4.2.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Private Member Functions | Private Attributes
itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage > Class Template Reference

#include <itkRecursiveGaussianImageFilter.h>

+ Inheritance diagram for itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >:
+ Collaboration diagram for itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >:

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
enum  OrderEnumType {
  ZeroOrder,
  FirstOrder,
  SecondOrder
}
typedef TOutputImage OutputImageType
typedef SmartPointer< SelfPointer
typedef Superclass::RealType RealType
typedef Superclass::ScalarRealType ScalarRealType
typedef
RecursiveGaussianImageFilter 
Self
typedef
RecursiveSeparableImageFilter
< TInputImage, TOutputImage > 
Superclass
- Public Types inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
typedef TInputImage::ConstPointer InputImageConstPointer
typedef TInputImage::Pointer InputImagePointer
typedef TInputImage InputImageType
typedef TInputImage::PixelType InputPixelType
typedef TOutputImage::RegionType OutputImageRegionType
- Public Types inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
typedef InputImageType::PixelType InputImagePixelType
typedef InputImageType::RegionType InputImageRegionType
typedef
Superclass::OutputImagePixelType 
OutputImagePixelType
typedef
Superclass::OutputImagePointer 
OutputImagePointer
- Public Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
- Public Types inherited from itk::ImageSource< TOutputImage >
typedef
Superclass::DataObjectIdentifierType 
DataObjectIdentifierType
typedef DataObject::Pointer DataObjectPointer
typedef
Superclass::DataObjectPointerArraySizeType 
DataObjectPointerArraySizeType
- Public Types inherited from itk::ProcessObject
typedef std::vector
< DataObjectPointer
DataObjectPointerArray
typedef std::vector
< DataObjectIdentifierType
NameArray
- Public Types inherited from itk::Object
- Public Types inherited from itk::LightObject

Public Member Functions

virtual ::itk::LightObject::Pointer CreateAnother (void) const
virtual const char * GetNameOfClass () const
virtual bool GetNormalizeAcrossScale () const
void SetFirstOrder ()
virtual void SetNormalizeAcrossScale (bool _arg)
void SetSecondOrder ()
void SetZeroOrder ()
virtual ScalarRealType GetSigma () const
virtual void SetSigma (ScalarRealType _arg)
virtual void SetOrder (OrderEnumType _arg)
virtual OrderEnumType GetOrder () const
- Public Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
virtual unsigned int GetDirection () const
const TInputImage * GetInputImage (void)
virtual void SetDirection (unsigned int _arg)
void SetInputImage (const TInputImage *)
- Public Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
virtual bool CanRunInPlace () const
virtual void SetInPlace (bool _arg)
virtual bool GetInPlace () const
virtual void InPlaceOn ()
virtual void InPlaceOff ()
- Public Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
const InputImageTypeGetInput (void) const
const InputImageTypeGetInput (unsigned int idx) const
virtual void PopBackInput ()
virtual void PopFrontInput ()
virtual void PushBackInput (const InputImageType *image)
virtual void PushFrontInput (const InputImageType *image)
virtual void SetInput (const InputImageType *image)
virtual void SetInput (unsigned int, const TInputImage *image)
- Public Member Functions inherited from itk::ImageSource< TOutputImage >
OutputImageTypeGetOutput (unsigned int idx)
virtual void GraftNthOutput (unsigned int idx, DataObject *output)
virtual void GraftOutput (DataObject *output)
virtual void GraftOutput (const DataObjectIdentifierType &key, DataObject *output)
OutputImageTypeGetOutput (void)
const OutputImageTypeGetOutput (void) const
virtual
ProcessObject::DataObjectPointer 
MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx)
- Public Member Functions inherited from itk::ProcessObject
virtual void AbortGenerateDataOff ()
virtual void AbortGenerateDataOn ()
virtual const bool & GetAbortGenerateData ()
NameArray GetInputNames () const
MultiThreader * GetMultiThreader () const
DataObjectPointerArraySizeType GetNumberOfIndexedInputs () const
DataObjectPointerArraySizeType GetNumberOfInputs () const
DataObjectPointerArraySizeType GetNumberOfOutputs () const
virtual
DataObjectPointerArraySizeType 
GetNumberOfValidRequiredInputs () const
NameArray GetOutputNames () const
virtual const float & GetProgress ()
NameArray GetRequiredInputNames () const
bool HasInput (const DataObjectIdentifierType &key) const
bool HasOutput (const DataObjectIdentifierType &key) const
virtual DataObjectPointer MakeOutput (const DataObjectIdentifierType &)
virtual void PrepareOutputs ()
virtual void PropagateRequestedRegion (DataObject *output)
virtual void ResetPipeline ()
virtual void SetAbortGenerateData (bool _arg)
virtual void SetProgress (float _arg)
virtual void Update ()
virtual void UpdateLargestPossibleRegion ()
virtual void UpdateOutputData (DataObject *output)
virtual void UpdateOutputInformation ()
void UpdateProgress (float amount)
DataObjectPointerArray GetInputs ()
DataObjectPointerArray GetOutputs ()
DataObjectPointerArray GetIndexedInputs ()
DataObjectPointerArray GetIndexedOutputs ()
DataObjectPointerArraySizeType GetNumberOfIndexedOutputs () const
virtual void SetReleaseDataFlag (bool flag)
virtual bool GetReleaseDataFlag () const
void ReleaseDataFlagOn ()
void ReleaseDataFlagOff ()
virtual void SetReleaseDataBeforeUpdateFlag (bool _arg)
virtual const bool & GetReleaseDataBeforeUpdateFlag ()
virtual void ReleaseDataBeforeUpdateFlagOn ()
virtual void ReleaseDataBeforeUpdateFlagOff ()
virtual void SetNumberOfThreads (ThreadIdType _arg)
virtual const ThreadIdTypeGetNumberOfThreads ()
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
unsigned long AddObserver (const EventObject &event, Command *) const
virtual void DebugOff () const
virtual void DebugOn () const
CommandGetCommand (unsigned long tag)
bool GetDebug () const
MetaDataDictionaryGetMetaDataDictionary (void)
const MetaDataDictionaryGetMetaDataDictionary (void) const
virtual unsigned long GetMTime () const
virtual const TimeStampGetTimeStamp () const
bool HasObserver (const EventObject &event) const
void InvokeEvent (const EventObject &)
void InvokeEvent (const EventObject &) const
virtual void Modified () const
virtual void Register () const
void RemoveAllObservers ()
void RemoveObserver (unsigned long tag)
void SetDebug (bool debugFlag) const
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void SetReferenceCount (int)
virtual void UnRegister () const
- Public Member Functions inherited from itk::LightObject
virtual void Delete ()
virtual int GetReferenceCount () const
 itkCloneMacro (Self)
void Print (std::ostream &os, Indent indent=0) const

Static Public Member Functions

static Pointer New ()

Protected Member Functions

void PrintSelf (std::ostream &os, Indent indent) const
 RecursiveGaussianImageFilter ()
virtual void SetUp (ScalarRealType spacing)
virtual ~RecursiveGaussianImageFilter ()
- Protected Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
void BeforeThreadedGenerateData ()
void EnlargeOutputRequestedRegion (DataObject *output)
void FilterDataArray (RealType *outs, const RealType *data, RealType *scratch, unsigned int ln)
 RecursiveSeparableImageFilter ()
unsigned int SplitRequestedRegion (unsigned int i, unsigned int num, OutputImageRegionType &splitRegion)
void ThreadedGenerateData (const OutputImageRegionType &outputRegionForThread, ThreadIdType threadId)
virtual ~RecursiveSeparableImageFilter ()
- Protected Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
virtual void AllocateOutputs ()
virtual bool GetRunningInPlace () const
 InPlaceImageFilter ()
virtual void ReleaseInputs ()
 ~InPlaceImageFilter ()
- Protected Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
virtual void CallCopyInputRegionToOutputRegion (OutputImageRegionType &destRegion, const InputImageRegionType &srcRegion)
virtual void CallCopyOutputRegionToInputRegion (InputImageRegionType &destRegion, const OutputImageRegionType &srcRegion)
virtual void GenerateInputRequestedRegion ()
 ImageToImageFilter ()
virtual void VerifyInputInformation ()
 ~ImageToImageFilter ()
void PushBackInput (const DataObject *input)
void PushFrontInput (const DataObject *input)
- Protected Member Functions inherited from itk::ImageSource< TOutputImage >
virtual void AfterThreadedGenerateData ()
virtual void GenerateData ()
 ImageSource ()
virtual ~ImageSource ()
- Protected Member Functions inherited from itk::ProcessObject
virtual void AddInput (DataObject *input)
virtual void AddOutput (DataObject *output)
bool AddRequiredInputName (const DataObjectIdentifierType &)
virtual void CacheInputReleaseDataFlags ()
virtual void GenerateOutputInformation ()
virtual void GenerateOutputRequestedRegion (DataObject *output)
virtual const
DataObjectPointerArraySizeType
GetNumberOfRequiredInputs ()
virtual const
DataObjectPointerArraySizeType
GetNumberOfRequiredOutputs ()
bool IsIndexedName (const DataObjectIdentifierType &) const
bool IsRequiredInputName (const DataObjectIdentifierType &) const
 itkLegacyMacro (virtual void RemoveInput(DataObject *input))
 itkLegacyMacro (virtual void RemoveOutput(DataObject *output))
 itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))
 itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))
DataObjectPointerArraySizeType MakeIndexFromName (const DataObjectIdentifierType &) const
DataObjectIdentifierType MakeNameFromIndex (DataObjectPointerArraySizeType) const
 ProcessObject ()
virtual void PropagateResetPipeline ()
virtual void RemoveInput (const DataObjectIdentifierType &key)
virtual void RemoveInput (DataObjectPointerArraySizeType)
virtual void RemoveOutput (const DataObjectIdentifierType &key)
virtual void RemoveOutput (DataObjectPointerArraySizeType idx)
bool RemoveRequiredInputName (const DataObjectIdentifierType &)
virtual void RestoreInputReleaseDataFlags ()
virtual void SetInput (const DataObjectIdentifierType &key, DataObject *input)
virtual void SetNthInput (DataObjectPointerArraySizeType num, DataObject *input)
virtual void SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output)
void SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)
void SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)
virtual void SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)
virtual void SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)
virtual void SetOutput (const DataObjectIdentifierType &key, DataObject *output)
virtual void SetPrimaryInput (DataObject *input)
virtual void SetPrimaryOutput (DataObject *output)
void SetRequiredInputNames (const NameArray &)
virtual void VerifyPreconditions ()
 ~ProcessObject ()
DataObjectGetInput (const DataObjectIdentifierType &key)
const DataObjectGetInput (const DataObjectIdentifierType &key) const
DataObjectGetInput (DataObjectPointerArraySizeType)
const DataObjectGetInput (DataObjectPointerArraySizeType idx) const
DataObjectGetPrimaryInput ()
const DataObjectGetPrimaryInput () const
DataObjectGetOutput (const DataObjectIdentifierType &key)
const DataObjectGetOutput (const DataObjectIdentifierType &key) const
DataObjectGetOutput (DataObjectPointerArraySizeType idx)
const DataObjectGetOutput (DataObjectPointerArraySizeType idx) const
DataObjectGetPrimaryOutput ()
const DataObjectGetPrimaryOutput () const
- Protected Member Functions inherited from itk::Object
 Object ()
bool PrintObservers (std::ostream &os, Indent indent) const
virtual void SetTimeStamp (const TimeStamp &time)
virtual ~Object ()
- Protected Member Functions inherited from itk::LightObject
virtual LightObject::Pointer InternalClone () const
 LightObject ()
virtual void PrintHeader (std::ostream &os, Indent indent) const
virtual void PrintTrailer (std::ostream &os, Indent indent) const
virtual ~LightObject ()

Private Member Functions

void ComputeDCoefficients (ScalarRealType sigmad, ScalarRealType W1, ScalarRealType L1, ScalarRealType W2, ScalarRealType L2, ScalarRealType &SD, ScalarRealType &DD, ScalarRealType &ED)
void ComputeNCoefficients (ScalarRealType sigmad, ScalarRealType A1, ScalarRealType B1, ScalarRealType W1, ScalarRealType L1, ScalarRealType A2, ScalarRealType B2, ScalarRealType W2, ScalarRealType L2, ScalarRealType &N0, ScalarRealType &N1, ScalarRealType &N2, ScalarRealType &N3, ScalarRealType &SN, ScalarRealType &DN, ScalarRealType &EN)
void ComputeRemainingCoefficients (bool symmetric)
void operator= (const Self &)
 RecursiveGaussianImageFilter (const Self &)

Private Attributes

bool m_NormalizeAcrossScale
OrderEnumType m_Order
ScalarRealType m_Sigma

Additional Inherited Members

- Protected Attributes inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
ScalarRealType m_BM1
ScalarRealType m_BM2
ScalarRealType m_BM3
ScalarRealType m_BM4
ScalarRealType m_BN1
ScalarRealType m_BN2
ScalarRealType m_BN3
ScalarRealType m_BN4
ScalarRealType m_D1
ScalarRealType m_D2
ScalarRealType m_D3
ScalarRealType m_D4
ScalarRealType m_M1
ScalarRealType m_M2
ScalarRealType m_M3
ScalarRealType m_M4
ScalarRealType m_N0
ScalarRealType m_N1
ScalarRealType m_N2
ScalarRealType m_N3

Detailed Description

template<typename TInputImage, typename TOutputImage = TInputImage>
class itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >

Base class for computing IIR convolution with an approximation of a Gaussian kernel.

\[ \frac{ 1 }{ \sigma \sqrt{ 2 \pi } } \exp{ \left( - \frac{x^2}{ 2 \sigma^2 } \right) } \]

RecursiveGaussianImageFilter is the base class for recursive filters that approximate convolution with the Gaussian kernel. This class implements the recursive filtering method proposed by R.Deriche in IEEE-PAMI Vol.12, No.1, January 1990, pp 78-87, "Fast Algorithms for Low-Level Vision"

Details of the implementation are described in the technical report: R. Deriche, "Recursively Implementing The Gaussian and Its Derivatives", INRIA, 1993, ftp://ftp.inria.fr/INRIA/tech-reports/RR/RR-1893.ps.gz

Further improvements of the algorithm are described in: G. Farneback & C.-F. Westin, "On Implementation of Recursive Gaussian Filters", so far unpublished.

As compared to itk::DiscreteGaussianImageFilter, this filter tends to be faster for large kernels, and it can take the derivative of the blurred image in one step. Also, note that we have itk::RecursiveGaussianImageFilter::SetSigma(), but itk::DiscreteGaussianImageFilter::SetVariance().

See also:
DiscreteGaussianImageFilter
Wiki Examples:

Definition at line 62 of file itkRecursiveGaussianImageFilter.h.


Member Typedef Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>
typedef SmartPointer< const Self > itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ConstPointer
template<typename TInputImage , typename TOutputImage = TInputImage>
typedef TOutputImage itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::OutputImageType

Type of the output image

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

Definition at line 93 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>
typedef SmartPointer< Self > itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Pointer
template<typename TInputImage , typename TOutputImage = TInputImage>
typedef Superclass::RealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::RealType
template<typename TInputImage , typename TOutputImage = TInputImage>
typedef Superclass::ScalarRealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ScalarRealType
template<typename TInputImage , typename TOutputImage = TInputImage>
typedef RecursiveGaussianImageFilter itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Self

Standard class typedefs.

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

Definition at line 67 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>
typedef RecursiveSeparableImageFilter< TInputImage, TOutputImage > itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Superclass

Member Enumeration Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>
enum itk::RecursiveGaussianImageFilter::OrderEnumType

Enum type that indicates if the filter applies the equivalent operation of convolving with a gaussian, first derivative of a gaussian or the second derivative of a gaussian.

Enumerator:
ZeroOrder 
FirstOrder 
SecondOrder 

Definition at line 90 of file itkRecursiveGaussianImageFilter.h.


Constructor & Destructor Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>
itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::RecursiveGaussianImageFilter ( )
protected
template<typename TInputImage , typename TOutputImage = TInputImage>
virtual itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::~RecursiveGaussianImageFilter ( )
inlineprotectedvirtual

Definition at line 158 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>
itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::RecursiveGaussianImageFilter ( const Self )
private

Member Function Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ComputeDCoefficients ( ScalarRealType  sigmad,
ScalarRealType  W1,
ScalarRealType  L1,
ScalarRealType  W2,
ScalarRealType  L2,
ScalarRealType SD,
ScalarRealType DD,
ScalarRealType ED 
)
private

Compute the D coefficients in the recursive filter.

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ComputeNCoefficients ( ScalarRealType  sigmad,
ScalarRealType  A1,
ScalarRealType  B1,
ScalarRealType  W1,
ScalarRealType  L1,
ScalarRealType  A2,
ScalarRealType  B2,
ScalarRealType  W2,
ScalarRealType  L2,
ScalarRealType N0,
ScalarRealType N1,
ScalarRealType N2,
ScalarRealType N3,
ScalarRealType SN,
ScalarRealType DN,
ScalarRealType EN 
)
private

Compute the N coefficients in the recursive filter.

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::ComputeRemainingCoefficients ( bool  symmetric)
private

Compute the M coefficients and the boundary coefficients in the recursive filter.

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual::itk::LightObject::Pointer itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::CreateAnother ( void  ) const
virtual

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual const char* itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetNameOfClass ( ) const
virtual

Type macro that defines a name for this class

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual bool itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetNormalizeAcrossScale ( ) const
virtual
template<typename TInputImage , typename TOutputImage = TInputImage>
virtual OrderEnumType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetOrder ( ) const
virtual

Set/Get the Order of the Gaussian to convolve with.

  • ZeroOrder is equivalent to convolving with a Gaussian. This is the default.
  • FirstOrder is equivalent to convolving with the first derivative of a Gaussian.
  • SecondOrder is equivalent to convolving with the second derivative of a Gaussian.
template<typename TInputImage , typename TOutputImage = TInputImage>
virtual ScalarRealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::GetSigma ( ) const
virtual

Set/Get the Sigma, measured in world coordinates, of the Gaussian kernel. The default is 1.0.

template<typename TInputImage , typename TOutputImage = TInputImage>
static Pointer itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::New ( )
static

Method for creation through the object factory.

Reimplemented from itk::Object.

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::operator= ( const Self )
private

PushBackInput(), PushFronInput() in the public section force the input to be the type expected by an ImageToImageFilter. However, these methods end of "hiding" the versions from the superclass (ProcessObject) whose arguments are DataObjects. Here, we re-expose the versions from ProcessObject to avoid warnings about hiding methods from the superclass.

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetFirstOrder ( )

Explicitly set a first order derivative.

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetNormalizeAcrossScale ( bool  _arg)
virtual

Set/Get the flag for normalizing the gaussian over scale-space.

 This flag enables the analysis of the differential shape of
 features independent of their size ( both pixels and physical
 size ). Following the notation of Tony Lindeberg:

 Let \form#194 be the scale-space
 representation of image \form#195
 where \form#196 is
 the Gaussian function and \form#197 denotes convolution. This
 is a change from above with \form#198.

 Then the normalized derivative operator for normalized
 coordinates across scale is:

\[ \partial_\xi = \sqrt{t} \partial_x \]

 The resulting scaling factor is

\[ \sigma^N \]

where N is the order of the derivative.

When this flag is ON the filter will be normalized in such a way that the values of derivatives are not biased by the size of the object. That is to say the maximum value a feature reaches across scale is independent of the scale of the object.

For analyzing an image across scale-space you want to enable this flag. It is disabled by default.

Note:
Not all scale space axioms are satisfied by this filter, some are only approximated. Particularly, at fine scales ( say less than 1 pixel ) other methods such as a discrete Gaussian kernel should be considered.
template<typename TInputImage , typename TOutputImage = TInputImage>
virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetOrder ( OrderEnumType  _arg)
virtual

Set/Get the Order of the Gaussian to convolve with.

  • ZeroOrder is equivalent to convolving with a Gaussian. This is the default.
  • FirstOrder is equivalent to convolving with the first derivative of a Gaussian.
  • SecondOrder is equivalent to convolving with the second derivative of a Gaussian.
template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetSecondOrder ( )

Explicitly set a second order derivative.

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetSigma ( ScalarRealType  _arg)
virtual

Set/Get the Sigma, measured in world coordinates, of the Gaussian kernel. The default is 1.0.

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetUp ( ScalarRealType  spacing)
protectedvirtual

Set up the coefficients of the filter to approximate a specific kernel. Here it is used to approximate a Gaussian or one of its derivatives. Parameter is the spacing along the dimension to filter.

Implements itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >.

template<typename TInputImage , typename TOutputImage = TInputImage>
void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetZeroOrder ( )

Explicitly set a zeroth order derivative.


Member Data Documentation

template<typename TInputImage , typename TOutputImage = TInputImage>
bool itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::m_NormalizeAcrossScale
private

Normalize the image across scale space

Definition at line 192 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>
OrderEnumType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::m_Order
private

Definition at line 194 of file itkRecursiveGaussianImageFilter.h.

template<typename TInputImage , typename TOutputImage = TInputImage>
ScalarRealType itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::m_Sigma
private

Sigma of the gaussian kernel.

Definition at line 189 of file itkRecursiveGaussianImageFilter.h.


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