ITK  5.3.0
Insight Toolkit
Public Types | Public Member Functions | Static Public Member Functions | Protected Member Functions | Private Member Functions | Private Attributes | List of all members
itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage > Class Template Reference

#include <itkRecursiveGaussianImageFilter.h>

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

Public Types

using ConstPointer = SmartPointer< const Self >
 
using OutputImageType = TOutputImage
 
using Pointer = SmartPointer< Self >
 
using Self = RecursiveGaussianImageFilter
 
using Superclass = RecursiveSeparableImageFilter< TInputImage, TOutputImage >
 
- Public Types inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
using ConstPointer = SmartPointer< const Self >
 
using InputImageConstPointer = typename TInputImage::ConstPointer
 
using InputImagePointer = typename TInputImage::Pointer
 
using InputImageType = TInputImage
 
using InputPixelType = typename TInputImage::PixelType
 
using OutputImageRegionType = typename TOutputImage::RegionType
 
using OutputImageType = TOutputImage
 
using Pointer = SmartPointer< Self >
 
using RealType = typename NumericTraits< InputPixelType >::RealType
 
using ScalarRealType = typename NumericTraits< InputPixelType >::ScalarRealType
 
using Self = RecursiveSeparableImageFilter
 
using Superclass = InPlaceImageFilter< TInputImage, TOutputImage >
 
- Public Types inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
using ConstPointer = SmartPointer< const Self >
 
using InputImageConstPointer = typename InputImageType::ConstPointer
 
using InputImagePixelType = typename InputImageType::PixelType
 
using InputImagePointer = typename InputImageType::Pointer
 
using InputImageRegionType = typename InputImageType::RegionType
 
using InputImageType = TInputImage
 
using Pointer = SmartPointer< Self >
 
using Self = InPlaceImageFilter
 
using Superclass = ImageToImageFilter< TInputImage, TOutputImage >
 
- Public Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
using ConstPointer = SmartPointer< const Self >
 
using InputImageConstPointer = typename InputImageType::ConstPointer
 
using InputImagePixelType = typename InputImageType::PixelType
 
using InputImagePointer = typename InputImageType::Pointer
 
using InputImageRegionType = typename InputImageType::RegionType
 
using InputImageType = TInputImage
 
using Pointer = SmartPointer< Self >
 
using Self = ImageToImageFilter
 
using Superclass = ImageSource< TOutputImage >
 
- Public Types inherited from itk::ImageSource< TOutputImage >
using ConstPointer = SmartPointer< const Self >
 
using DataObjectIdentifierType = Superclass::DataObjectIdentifierType
 
using DataObjectPointer = DataObject::Pointer
 
using DataObjectPointerArraySizeType = Superclass::DataObjectPointerArraySizeType
 
using OutputImagePixelType = typename OutputImageType::PixelType
 
using OutputImagePointer = typename OutputImageType::Pointer
 
using OutputImageRegionType = typename OutputImageType::RegionType
 
using OutputImageType = TOutputImage
 
using Pointer = SmartPointer< Self >
 
using Self = ImageSource
 
using Superclass = ProcessObject
 
- Public Types inherited from itk::ProcessObject
using ConstPointer = SmartPointer< const Self >
 
using DataObjectIdentifierType = DataObject::DataObjectIdentifierType
 
using DataObjectPointer = DataObject::Pointer
 
using DataObjectPointerArray = std::vector< DataObjectPointer >
 
using DataObjectPointerArraySizeType = DataObjectPointerArray::size_type
 
using MultiThreaderType = MultiThreaderBase
 
using NameArray = std::vector< DataObjectIdentifierType >
 
using Pointer = SmartPointer< Self >
 
using Self = ProcessObject
 
using Superclass = Object
 
- Public Types inherited from itk::Object
using ConstPointer = SmartPointer< const Self >
 
using Pointer = SmartPointer< Self >
 
using Self = Object
 
using Superclass = LightObject
 
- Public Types inherited from itk::LightObject
using ConstPointer = SmartPointer< const Self >
 
using Pointer = SmartPointer< Self >
 
using Self = LightObject
 

Public Member Functions

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 (GaussianOrderEnum _arg)
 
virtual GaussianOrderEnum GetOrder () const
 
- Public Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
virtual unsigned int GetDirection () const
 
const TInputImage * GetInputImage ()
 
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 ()
 
- Public Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
const InputImageTypeGetInput () const
 
const InputImageTypeGetInput (unsigned int idx) const
 
void PopBackInput () override
 
void PopFrontInput () override
 
virtual void PushBackInput (const InputImageType *input)
 
virtual void PushFrontInput (const InputImageType *input)
 
virtual void SetInput (const DataObjectIdentifierType &key, DataObject *input)
 
virtual void SetInput (const InputImageType *input)
 
virtual void SetInput (unsigned int, const TInputImage *image)
 
virtual void SetCoordinateTolerance (double _arg)
 
virtual double GetCoordinateTolerance () const
 
virtual void SetDirectionTolerance (double _arg)
 
virtual double GetDirectionTolerance () const
 
- Public Member Functions inherited from itk::ImageSource< TOutputImage >
OutputImageTypeGetOutput (unsigned int idx)
 
OutputImageTypeGetOutput ()
 
const OutputImageTypeGetOutput () const
 
virtual void GraftOutput (DataObject *graft)
 
virtual void GraftOutput (const DataObjectIdentifierType &key, DataObject *graft)
 
virtual void GraftNthOutput (unsigned int idx, DataObject *graft)
 
ProcessObject::DataObjectPointer MakeOutput (ProcessObject::DataObjectPointerArraySizeType idx) override
 
ProcessObject::DataObjectPointer MakeOutput (const ProcessObject::DataObjectIdentifierType &) override
 
- Public Member Functions inherited from itk::ProcessObject
virtual void AbortGenerateDataOn ()
 
virtual const bool & GetAbortGenerateData () const
 
DataObjectPointerArray GetIndexedInputs ()
 
DataObjectPointerArray GetIndexedOutputs ()
 
NameArray GetInputNames () const
 
DataObjectPointerArray GetInputs ()
 
MultiThreaderTypeGetMultiThreader () const
 
DataObjectPointerArraySizeType GetNumberOfIndexedInputs () const
 
DataObjectPointerArraySizeType GetNumberOfIndexedOutputs () const
 
DataObjectPointerArraySizeType GetNumberOfInputs () const
 
DataObjectPointerArraySizeType GetNumberOfOutputs () const
 
virtual DataObjectPointerArraySizeType GetNumberOfValidRequiredInputs () const
 
NameArray GetOutputNames () const
 
DataObjectPointerArray GetOutputs ()
 
virtual float GetProgress () const
 
NameArray GetRequiredInputNames () const
 
bool HasInput (const DataObjectIdentifierType &key) const
 
bool HasOutput (const DataObjectIdentifierType &key) const
 
void IncrementProgress (float increment)
 
virtual void PrepareOutputs ()
 
virtual void PropagateRequestedRegion (DataObject *output)
 
virtual void ResetPipeline ()
 
virtual void SetAbortGenerateData (bool _arg)
 
void SetMultiThreader (MultiThreaderType *threader)
 
virtual void Update ()
 
virtual void UpdateLargestPossibleRegion ()
 
virtual void UpdateOutputData (DataObject *output)
 
virtual void UpdateOutputInformation ()
 
void UpdateProgress (float progress)
 
virtual void SetReleaseDataFlag (bool val)
 
virtual bool GetReleaseDataFlag () const
 
void ReleaseDataFlagOn ()
 
void ReleaseDataFlagOff ()
 
virtual void SetReleaseDataBeforeUpdateFlag (bool _arg)
 
virtual const bool & GetReleaseDataBeforeUpdateFlag () const
 
virtual void ReleaseDataBeforeUpdateFlagOn ()
 
virtual void SetNumberOfWorkUnits (ThreadIdType _arg)
 
virtual const ThreadIdTypeGetNumberOfWorkUnits () const
 
- Public Member Functions inherited from itk::Object
unsigned long AddObserver (const EventObject &event, Command *)
 
unsigned long AddObserver (const EventObject &event, Command *) const
 
unsigned long AddObserver (const EventObject &event, std::function< void(const EventObject &)> function) const
 
LightObject::Pointer CreateAnother () const override
 
virtual void DebugOff () const
 
virtual void DebugOn () const
 
CommandGetCommand (unsigned long tag)
 
bool GetDebug () const
 
MetaDataDictionaryGetMetaDataDictionary ()
 
const MetaDataDictionaryGetMetaDataDictionary () const
 
virtual ModifiedTimeType 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
 
void Register () const override
 
void RemoveAllObservers ()
 
void RemoveObserver (unsigned long tag)
 
void SetDebug (bool debugFlag) const
 
void SetReferenceCount (int) override
 
void UnRegister () const noexcept override
 
void SetMetaDataDictionary (const MetaDataDictionary &rhs)
 
void SetMetaDataDictionary (MetaDataDictionary &&rrhs)
 
virtual void SetObjectName (std::string _arg)
 
virtual const std::string & GetObjectName () const
 
- Public Member Functions inherited from itk::LightObject
Pointer Clone () const
 
virtual void Delete ()
 
virtual int GetReferenceCount () const
 
void Print (std::ostream &os, Indent indent=0) const
 

Static Public Member Functions

static Pointer New ()
 
- Static Public Member Functions inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
static double GetGlobalDefaultCoordinateTolerance ()
 
static double GetGlobalDefaultDirectionTolerance ()
 
static void SetGlobalDefaultCoordinateTolerance (double)
 
static void SetGlobalDefaultDirectionTolerance (double)
 
- Static Public Member Functions inherited from itk::Object
static bool GetGlobalWarningDisplay ()
 
static void GlobalWarningDisplayOff ()
 
static void GlobalWarningDisplayOn ()
 
static Pointer New ()
 
static void SetGlobalWarningDisplay (bool val)
 
- Static Public Member Functions inherited from itk::LightObject
static void BreakOnError ()
 
static Pointer New ()
 

Protected Member Functions

void PrintSelf (std::ostream &os, Indent indent) const override
 
 RecursiveGaussianImageFilter ()
 
void SetUp (ScalarRealType spacing) override
 
void VerifyPreconditions () ITKv5_CONST override
 
 ~RecursiveGaussianImageFilter () override=default
 
- Protected Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
void BeforeThreadedGenerateData () override
 
void DynamicThreadedGenerateData (const OutputImageRegionType &) override
 
void EnlargeOutputRequestedRegion (DataObject *output) override
 
void FilterDataArray (RealType *outs, const RealType *data, RealType *scratch, SizeValueType ln) const
 
void GenerateData () override
 
 RecursiveSeparableImageFilter ()
 
 ~RecursiveSeparableImageFilter () override=default
 
- Protected Member Functions inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
virtual bool GetRunningInPlace () const
 
 InPlaceImageFilter ()=default
 
void ReleaseInputs () override
 
 ~InPlaceImageFilter () override=default
 
void AllocateOutputs () override
 
- 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)
 
void GenerateInputRequestedRegion () override
 
 ImageToImageFilter ()
 
void VerifyInputInformation () ITKv5_CONST override
 
 ~ImageToImageFilter () override=default
 
void PushBackInput (const DataObject *input) override
 
void PushFrontInput (const DataObject *input) override
 
- Protected Member Functions inherited from itk::ImageSource< TOutputImage >
virtual void AfterThreadedGenerateData ()
 
void ClassicMultiThread (ThreadFunctionType callbackFunction)
 
virtual const ImageRegionSplitterBaseGetImageRegionSplitter () const
 
 ImageSource ()
 
virtual unsigned int SplitRequestedRegion (unsigned int i, unsigned int pieces, OutputImageRegionType &splitRegion)
 
 ~ImageSource () override=default
 
virtual void ThreadedGenerateData (const OutputImageRegionType &region, ThreadIdType threadId)
 
virtual bool GetDynamicMultiThreading () const
 
virtual void SetDynamicMultiThreading (bool _arg)
 
virtual void DynamicMultiThreadingOn ()
 
- Protected Member Functions inherited from itk::ProcessObject
virtual void AddInput (DataObject *input)
 
void AddOptionalInputName (const DataObjectIdentifierType &)
 
void AddOptionalInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)
 
virtual void AddOutput (DataObject *output)
 
bool AddRequiredInputName (const DataObjectIdentifierType &)
 
bool AddRequiredInputName (const DataObjectIdentifierType &, DataObjectPointerArraySizeType idx)
 
virtual void CacheInputReleaseDataFlags ()
 
virtual void GenerateOutputInformation ()
 
virtual void GenerateOutputRequestedRegion (DataObject *output)
 
DataObjectGetInput (const DataObjectIdentifierType &key)
 
const DataObjectGetInput (const DataObjectIdentifierType &key) const
 
virtual const DataObjectPointerArraySizeTypeGetNumberOfRequiredInputs () const
 
virtual const DataObjectPointerArraySizeTypeGetNumberOfRequiredOutputs () const
 
bool IsIndexedInputName (const DataObjectIdentifierType &) const
 
bool IsIndexedOutputName (const DataObjectIdentifierType &) const
 
bool IsRequiredInputName (const DataObjectIdentifierType &) const
 
DataObjectPointerArraySizeType MakeIndexFromInputName (const DataObjectIdentifierType &name) const
 
DataObjectPointerArraySizeType MakeIndexFromOutputName (const DataObjectIdentifierType &name) const
 
DataObjectIdentifierType MakeNameFromInputIndex (DataObjectPointerArraySizeType idx) const
 
DataObjectIdentifierType MakeNameFromOutputIndex (DataObjectPointerArraySizeType idx) 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 idx, DataObject *input)
 
virtual void SetNthOutput (DataObjectPointerArraySizeType idx, DataObject *output)
 
void SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)
 
void SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)
 
virtual void SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)
 
virtual void SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)
 
virtual void SetOutput (const DataObjectIdentifierType &name, DataObject *output)
 
virtual void SetPrimaryInput (DataObject *object)
 
virtual void SetPrimaryOutput (DataObject *object)
 
void SetRequiredInputNames (const NameArray &)
 
 ~ProcessObject () override
 
DataObjectGetInput (DataObjectPointerArraySizeType idx)
 
const DataObjectGetInput (DataObjectPointerArraySizeType idx) const
 
DataObjectGetPrimaryInput ()
 
const DataObjectGetPrimaryInput () const
 
virtual void SetPrimaryInputName (const DataObjectIdentifierType &key)
 
virtual const char * GetPrimaryInputName () const
 
DataObjectGetOutput (const DataObjectIdentifierType &key)
 
const DataObjectGetOutput (const DataObjectIdentifierType &key) const
 
virtual void SetPrimaryOutputName (const DataObjectIdentifierType &key)
 
virtual const char * GetPrimaryOutputName () const
 
DataObjectGetOutput (DataObjectPointerArraySizeType i)
 
const DataObjectGetOutput (DataObjectPointerArraySizeType i) const
 
DataObjectGetPrimaryOutput ()
 
const DataObjectGetPrimaryOutput () const
 
virtual bool GetThreaderUpdateProgress () const
 
virtual void ThreaderUpdateProgressOn ()
 
virtual void SetThreaderUpdateProgress (bool arg)
 
- Protected Member Functions inherited from itk::Object
 Object ()
 
bool PrintObservers (std::ostream &os, Indent indent) const
 
virtual void SetTimeStamp (const TimeStamp &timeStamp)
 
 ~Object () override
 
- 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)
 

Private Attributes

bool m_NormalizeAcrossScale
 
GaussianOrderEnum m_Order
 
ScalarRealType m_Sigma
 

Additional Inherited Members

- Static Public Attributes inherited from itk::InPlaceImageFilter< TInputImage, TOutputImage >
static constexpr unsigned int InputImageDimension = TInputImage::ImageDimension
 
static constexpr unsigned int OutputImageDimension = TOutputImage::ImageDimension
 
- Static Public Attributes inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
static constexpr unsigned int InputImageDimension = TInputImage::ImageDimension
 
static constexpr unsigned int OutputImageDimension = TOutputImage::ImageDimension
 
- Static Public Attributes inherited from itk::ImageSource< TOutputImage >
static constexpr unsigned int OutputImageDimension = TOutputImage::ImageDimension
 
- Protected Types inherited from itk::ImageToImageFilter< TInputImage, TOutputImage >
using InputToOutputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::OutputImageDimension, Self::InputImageDimension >
 
using OutputToInputRegionCopierType = ImageToImageFilterDetail::ImageRegionCopier< Self::InputImageDimension, Self::OutputImageDimension >
 
- Static Protected Member Functions inherited from itk::RecursiveSeparableImageFilter< TInputImage, TOutputImage >
template<typename T1 , typename T2 >
static void MathEMAMAMAM (T1 &out, const T1 &a1, const T2 &b1, const T1 &a2, const T2 &b2, const T1 &a3, const T2 &b3, const T1 &a4, const T2 &b4)
 
template<typename T1 , typename T2 >
static void MathEMAMAMAM (VariableLengthVector< T1 > &out, const VariableLengthVector< T1 > &a1, const T2 &b1, const VariableLengthVector< T1 > &a2, const T2 &b2, const VariableLengthVector< T1 > &a3, const T2 &b3, const VariableLengthVector< T1 > &a4, const T2 &b4)
 
template<typename T1 , typename T2 >
static void MathSMAMAMAM (T1 &out, const T1 &a1, const T2 &b1, const T1 &a2, const T2 &b2, const T1 &a3, const T2 &b3, const T1 &a4, const T2 &b4)
 
template<typename T1 , typename T2 >
static void MathSMAMAMAM (VariableLengthVector< T1 > &out, const VariableLengthVector< T1 > &a1, const T2 &b1, const VariableLengthVector< T1 > &a2, const T2 &b2, const VariableLengthVector< T1 > &a3, const T2 &b3, const VariableLengthVector< T1 > &a4, const T2 &b4)
 
- Static Protected Member Functions inherited from itk::ImageSource< TOutputImage >
static const ImageRegionSplitterBaseGetGlobalDefaultSplitter ()
 
static ITK_THREAD_RETURN_FUNCTION_CALL_CONVENTION ThreaderCallback (void *arg)
 
- Static Protected Member Functions inherited from itk::ProcessObject
static constexpr float progressFixedToFloat (uint32_t fixed)
 
static uint32_t progressFloatToFixed (float f)
 
- 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
 
- Protected Attributes inherited from itk::ImageSource< TOutputImage >
bool m_DynamicMultiThreading
 
- Protected Attributes inherited from itk::ProcessObject
TimeStamp m_OutputInformationMTime
 
bool m_Updating
 
- Protected Attributes inherited from itk::LightObject
std::atomic< int > m_ReferenceCount
 

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. Farnebäck & C.-F. Westin, "Improving Deriche-style Recursive Gaussian Filters". J Math Imaging Vis 26, 293–299 (2006). https://doi.org/10.1007/s10851-006-8464-z

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
ITK Sphinx Examples:
Examples
Examples/Filtering/LaplacianRecursiveGaussianImageFilter1.cxx, Examples/Filtering/ResampleVolumesToBeIsotropic.cxx, Examples/Filtering/SecondDerivativeRecursiveGaussianImageFilter.cxx, Examples/Filtering/SmoothingRecursiveGaussianImageFilter.cxx, Examples/Filtering/SubsampleVolume.cxx, and SphinxExamples/src/Filtering/Smoothing/FindHigherDerivativesOfImage/Code.cxx.

Definition at line 100 of file itkRecursiveGaussianImageFilter.h.

Member Typedef Documentation

◆ ConstPointer

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

Definition at line 110 of file itkRecursiveGaussianImageFilter.h.

◆ OutputImageType

template<typename TInputImage , typename TOutputImage = TInputImage>
using itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::OutputImageType = TOutputImage

Type of the output image

Definition at line 130 of file itkRecursiveGaussianImageFilter.h.

◆ Pointer

template<typename TInputImage , typename TOutputImage = TInputImage>
using itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Pointer = SmartPointer<Self>

Definition at line 109 of file itkRecursiveGaussianImageFilter.h.

◆ Self

template<typename TInputImage , typename TOutputImage = TInputImage>
using itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::Self = RecursiveGaussianImageFilter

Standard class type aliases.

Definition at line 107 of file itkRecursiveGaussianImageFilter.h.

◆ Superclass

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

Definition at line 108 of file itkRecursiveGaussianImageFilter.h.

Constructor & Destructor Documentation

◆ RecursiveGaussianImageFilter()

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

◆ ~RecursiveGaussianImageFilter()

template<typename TInputImage , typename TOutputImage = TInputImage>
itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::~RecursiveGaussianImageFilter ( )
overrideprotecteddefault

Member Function Documentation

◆ ComputeDCoefficients()

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.

◆ ComputeNCoefficients()

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.

◆ ComputeRemainingCoefficients()

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.

◆ GetNameOfClass()

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 >.

◆ GetNormalizeAcrossScale()

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

◆ GetOrder()

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual GaussianOrderEnum 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.

◆ GetSigma()

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. An exception will be generated if the Sigma value is less than or equal to zero.

◆ New()

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

Method for creation through the object factory.

◆ PrintSelf()

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

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 >.

◆ SetFirstOrder()

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

Explicitly set a first order derivative.

◆ SetNormalizeAcrossScale()

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

\[ L(x; t) = g(x; t) \ast f(x) \]

be the scale-space representation of image

\[ f(x) \]

where

\[ g(x; t) = \frac{1}{ \sqrt{ 2 \pi t} } \exp{ \left( -\frac{x^2}{ 2 t } \right) } \]

is the Gaussian function and

\[\ast\]

denotes convolution. This is a change from above with

\[ t = \sigma^2 \]

.

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.

◆ SetOrder()

template<typename TInputImage , typename TOutputImage = TInputImage>
virtual void itk::RecursiveGaussianImageFilter< TInputImage, TOutputImage >::SetOrder ( GaussianOrderEnum  _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.

◆ SetSecondOrder()

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

Explicitly set a second order derivative.

◆ SetSigma()

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. An exception will be generated if the Sigma value is less than or equal to zero.

◆ SetUp()

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

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 >.

◆ SetZeroOrder()

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

Explicitly set a zeroth order derivative.

◆ VerifyPreconditions()

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

Verifies that the process object has been configured correctly, that all required inputs are set, and needed parameters are set appropriately. If not valid an exceptions will be thrown.

This method is called before UpdateOutputInformation is propagated to the inputs.

The ProcessObject's implementation verifies that the NumberOfRequiredInputs are set and not null.

Reimplemented from itk::ProcessObject.

Member Data Documentation

◆ m_NormalizeAcrossScale

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

Normalize the image across scale space

Definition at line 265 of file itkRecursiveGaussianImageFilter.h.

◆ m_Order

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

Definition at line 267 of file itkRecursiveGaussianImageFilter.h.

◆ m_Sigma

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

Sigma of the gaussian kernel.

Definition at line 262 of file itkRecursiveGaussianImageFilter.h.


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