#include <itkBSplineScatteredDataPointSetToImageFilter.h>

Detailed Description

template<typename TInputPointSet, typename TOutputImage>
class itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >

Image filter which provides a B-spline output approximation.

Given an n-D image with scattered data, this filter finds a fast approximation to that irregularly spaced data using uniform B-splines. The traditional method of inverting the observation matrix to find a least-squares fit is made obsolete. Therefore, memory issues are not a concern and inverting large matrices is not applicable. In addition, this allows fitting to be multi-threaded. This class generalizes from Lee's original paper to encompass n-D data in m-D parametric space and any feasible B-spline order as well as the option of specifying a confidence value for each point.

In addition to specifying the input point set, one must specify the number of control points. The specified number of control points must be greater than m_SplineOrder. If one wishes to use the multilevel component of this algorithm, one must also specify the number of levels in the hierarchy. If this is desired, the number of control points becomes the number of control points for the coarsest level. The algorithm then increases the number of control points at each level so that the B-spline n-D grid is refined to twice the previous level.

There are two parts to fitting scattered data: the parameterization assignment problem and the fitting problem given a parameterization. This filter only addresses the second problem in that the user must provide a parametric value for each scattered datum. Different parametric assignment schemes result in different B-spline object outputs.

This filter is general in that it accepts n-D scattered data in m-D parametric dimensions. Input to this filter is an m-D point set with a Vector data type of n dimensions. This means that the parametric values are stored in the points container of the point set whereas the scattered data are stored in the points data container of the point set.

Typical B-spline objects include curves, which have a parametric dimension of 1 and a data dimension of 2 or 3 (depending on the space in which the curve resides) and deformation fields which commonly have parametric and data dimensions of 2 or 3 (again depending on the space of the field). As an example, a curve through a set of 2D points has data dimension 2 and parametric dimension 1. The univariate curve could be represented as: <x(u),y(u)> Another example is a 3D deformation of 3D points, which has parametric dimension 3 and data dimension 3 and can be represented as: <dx(u,v,w), dy(u,v,w), dz(u,v,w)>. However, as mentioned before, the code is general such that, if the user wanted, she could model a time varying 3-D displacement field which resides in 4-D space as <dx(u, v, w, t), dy(u, v, w, t), dz(u, v, w, t)>.

The output is an image defining the sampled B-spline parametric domain where each pixel houses the sampled B-spline object value. For a curve fit to 3-D points, the output is a 1-D image where each voxel contains a vector with the approximated (x,y,z) location. The continuous, finite, rectilinear domain (as well as the sampling rate) is specified via the combination of the SetSpacing() and SetSize() functions. For a 2-D deformation on 2-D points, the output is a 2-D image where each voxel contains the approximated (dx, dy) vector.

The parameterization must be specified using SetPoint, where the actual coordinates of the point are set via SetPointData. For example, to compute a spline through the (ordered) 2D points (5,6) and (7,8), you should use:

using DataType = itk::Vector< float, 2 >;
PointSetType::PointType param0;
param0[0] = 0.0;
DataType p0;
p0[0] =  10.0; p0[1]= 10.0;
pointSet->SetPoint(0, param0);
pointSet->SetPointData( 0, p0 );
 
PointSetType::PointType param1;
param1[0] = 1.0;
DataType p1;
p1[0] =  80.0; p1[1]= 50.0;
pointSet->SetPoint(1, param1);
pointSet->SetPointData( 1, p1 );

Author: Nicholas J. Tustison

This code was contributed in the Insight Journal paper: "N-D C^k B-Spline Scattered Data Approximation" by Nicholas J. Tustison, James C. Gee https://doi.org/10.54294/0d55to

REFERENCE: S. Lee, G. Wolberg, and S. Y. Shin, "Scattered Data Interpolation with Multilevel B-Splines", IEEE Transactions on Visualization and Computer Graphics, 3(3):228-244, 1997.

REFERENCE: N.J. Tustison and J.C. Gee, "Generalized n-D C^k Scattered Data Approximation with Confidence Values", Proceedings of the MIAR conference, August 2006.

ITK Sphinx Examples:

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Definition at line 132 of file itkBSplineScatteredDataPointSetToImageFilter.h.

Inheritance diagram for itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >:

Collaboration diagram for itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >:

Public Types
using	ArrayType = FixedArray< unsigned int, Self::ImageDimension >

using	ConstPointer = SmartPointer< const Self >

using	ImageType = TOutputImage

using	IndexType = typename ImageType::IndexType

using	KernelOrder0Type = BSplineKernelFunction< 0 >

using	KernelOrder1Type = BSplineKernelFunction< 1 >

using	KernelOrder2Type = BSplineKernelFunction< 2 >

using	KernelOrder3Type = BSplineKernelFunction< 3 >

using	KernelType = CoxDeBoorBSplineKernelFunction< 3 >

using	OutputImageRegionType = RegionType

using	PixelType = typename ImageType::PixelType

using	PointDataContainerPointer = typename PointDataContainerType::Pointer

using	PointDataContainerType = typename PointSetType::PointDataContainer

using	PointDataImagePointer = typename PointDataImageType::Pointer

using	PointDataImageType = Image< PointDataType, Self::ImageDimension >

using	PointDataType = typename PointSetType::PixelType

using	Pointer = SmartPointer< Self >

using	PointSetPointer = typename PointSetType::Pointer

using	PointSetType = TInputPointSet

using	PointType = typename PointSetType::PointType

using	RealArrayType = FixedArray< RealType, Self::ImageDimension >

using	RealImagePointer = typename RealImageType::Pointer

using	RealImageType = Image< RealType, Self::ImageDimension >

using	RealType = float

using	RegionType = typename ImageType::RegionType

using	Self = BSplineScatteredDataPointSetToImageFilter

using	SizeType = typename ImageType::SizeType

using	Superclass = PointSetToImageFilter< TInputPointSet, TOutputImage >

using	WeightsContainerType = VectorContainer< unsigned int, RealType >

Public Types inherited from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >
using	ConstPointer = SmartPointer< const Self >

using	DirectionType = typename TOutputImage::DirectionType

using	InputPointSetConstPointer = typename InputPointSetType::ConstPointer

using	InputPointSetPointer = typename InputPointSetType::Pointer

using	InputPointSetType = TInputPointSet

using	OutputImagePointer = typename OutputImageType::Pointer

using	OutputImageType = TOutputImage

using	Pointer = SmartPointer< Self >

using	PointType = typename TOutputImage::PointType

using	Self = PointSetToImageFilter

using	SizeType = typename TOutputImage::SizeType

using	SpacingType = typename TOutputImage::SpacingType

using	Superclass = ImageSource< TOutputImage >

using	ValueType = typename OutputImageType::ValueType

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 ArrayType &	GetCurrentNumberOfControlPoints () const

const char *	GetNameOfClass () const override

virtual const ArrayType &	GetNumberOfLevels () const

PointDataImagePointer	GetPhiLattice ()

virtual const ArrayType &	GetSplineOrder () const

void	SetNumberOfLevels (const ArrayType &)

void	SetNumberOfLevels (unsigned int)

void	SetPointWeights (WeightsContainerType *weights)

void	SetSplineOrder (const ArrayType &)

void	SetSplineOrder (unsigned int)


virtual void	SetNumberOfControlPoints (ArrayType _arg)

virtual const ArrayType &	GetNumberOfControlPoints () const


virtual void	SetBSplineEpsilon (RealType _arg)

virtual RealType	GetBSplineEpsilon () const


virtual void	SetCloseDimension (ArrayType _arg)

virtual const ArrayType &	GetCloseDimension () const


virtual void	SetGenerateOutputImage (bool _arg)

virtual const bool &	GetGenerateOutputImage () const

virtual void	GenerateOutputImageOn ()

Public Member Functions inherited from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >
const InputPointSetType *	GetInput ()

const InputPointSetType *	GetInput (unsigned int idx)

const char *	GetNameOfClass () const override

virtual const PointType &	GetOrigin () const

virtual const SpacingType &	GetSpacing () const

virtual void	SetInput (const DataObjectIdentifierType &key, DataObject *input)

virtual void	SetInput (const InputPointSetType *input)

virtual void	SetInput (unsigned int, const InputPointSetType *pointset)

virtual void	SetOrigin (const float *v)

virtual void	SetSpacing (const float *v)

virtual void	SetSpacing (SpacingType _arg)

virtual void	SetSpacing (const double *v)

virtual void	SetDirection (DirectionType _arg)

virtual const DirectionType &	GetDirection () const

virtual void	SetOrigin (PointType _arg)

virtual void	SetOrigin (const double *v)

virtual void	SetInsideValue (ValueType _arg)

virtual ValueType	GetInsideValue () const

virtual void	SetOutsideValue (ValueType _arg)

virtual ValueType	GetOutsideValue () const

virtual void	SetSize (SizeType _arg)

virtual SizeType	GetSize () const

Public Member Functions inherited from itk::ImageSource< TOutputImage >
const char *	GetNameOfClass () const override

OutputImageType *	GetOutput (unsigned int idx)

OutputImageType *	GetOutput ()

const OutputImageType *	GetOutput () 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 void	EnlargeOutputRequestedRegion (DataObject *)

virtual const bool &	GetAbortGenerateData () const

DataObjectPointerArray	GetIndexedInputs ()

DataObjectPointerArray	GetIndexedOutputs ()

NameArray	GetInputNames () const

DataObjectPointerArray	GetInputs ()

MultiThreaderType *	GetMultiThreader () const

const char *	GetNameOfClass () const override

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 DataObjectPointer	MakeOutput (const DataObjectIdentifierType &)

virtual DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType idx)

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 ThreadIdType &	GetNumberOfWorkUnits () const

Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *cmd) 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

Command *	GetCommand (unsigned long tag)

bool	GetDebug () const

MetaDataDictionary &	GetMetaDataDictionary ()

const MetaDataDictionary &	GetMetaDataDictionary () const

virtual ModifiedTimeType	GetMTime () const

const char *	GetNameOfClass () const override

virtual const TimeStamp &	GetTimeStamp () 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) const

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 Pointer	CreateAnother () const

virtual void	Delete ()

virtual const char *	GetNameOfClass () const

virtual int	GetReferenceCount () const

void	Print (std::ostream &os, Indent indent=0) const

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const noexcept

Static Public Member Functions
static Pointer	New ()

Static Public Member Functions inherited from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >
static Pointer	New ()

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 ()

Static Public Attributes
static constexpr unsigned int	ImageDimension = TOutputImage::ImageDimension

Static Public Attributes inherited from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >
static constexpr unsigned int	InputPointSetDimension = InputPointSetType::PointDimension

static constexpr unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Static Public Attributes inherited from itk::ImageSource< TOutputImage >
static constexpr unsigned int	OutputImageDimension = TOutputImage::ImageDimension

Protected Member Functions
void	AfterThreadedGenerateData () override

void	BeforeThreadedGenerateData () override

	BSplineScatteredDataPointSetToImageFilter ()

void	DynamicThreadedGenerateData (const RegionType &) override

void	GenerateData () override

void	PrintSelf (std::ostream &os, Indent indent) const override

unsigned int	SplitRequestedRegion (unsigned int, unsigned int, RegionType &) override

void	ThreadedGenerateData (const RegionType &, ThreadIdType) override

	~BSplineScatteredDataPointSetToImageFilter () override=default

Protected Member Functions inherited from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >
void	GenerateData () override

void	GenerateOutputInformation () override

	PointSetToImageFilter ()

void	PrintSelf (std::ostream &os, Indent indent) const override

	~PointSetToImageFilter () override=default

Protected Member Functions inherited from itk::ImageSource< TOutputImage >
virtual void	AfterThreadedGenerateData ()

virtual void	AllocateOutputs ()

virtual void	BeforeThreadedGenerateData ()

void	ClassicMultiThread (ThreadFunctionType callbackFunction)

void	GenerateData () override

virtual const ImageRegionSplitterBase *	GetImageRegionSplitter () const

	ImageSource ()

void	PrintSelf (std::ostream &os, Indent indent) const override

virtual unsigned int	SplitRequestedRegion (unsigned int i, unsigned int pieces, OutputImageRegionType &splitRegion)

	~ImageSource () override=default

virtual void	ThreadedGenerateData (const OutputImageRegionType &region, ThreadIdType threadId)

virtual void	DynamicThreadedGenerateData (const OutputImageRegionType &outputRegionForThread)

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	GenerateData ()

virtual void	GenerateInputRequestedRegion ()

virtual void	GenerateOutputInformation ()

virtual void	GenerateOutputRequestedRegion (DataObject *output)

DataObject *	GetInput (const DataObjectIdentifierType &key)

const DataObject *	GetInput (const DataObjectIdentifierType &key) const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs () const

virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs () 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

virtual void	PopBackInput ()

virtual void	PopFrontInput ()

void	PrintSelf (std::ostream &os, Indent indent) const override

	ProcessObject ()

virtual void	PropagateResetPipeline ()

virtual void	PushBackInput (const DataObject *input)

virtual void	PushFrontInput (const DataObject *input)

virtual void	ReleaseInputs ()

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 &)

virtual void	VerifyInputInformation () const

virtual void	VerifyPreconditions () const

	~ProcessObject () override

DataObject *	GetInput (DataObjectPointerArraySizeType idx)

const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const

DataObject *	GetPrimaryInput ()

const DataObject *	GetPrimaryInput () const

virtual void	SetPrimaryInputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryInputName () const

DataObject *	GetOutput (const DataObjectIdentifierType &key)

const DataObject *	GetOutput (const DataObjectIdentifierType &key) const

virtual void	SetPrimaryOutputName (const DataObjectIdentifierType &key)

virtual const char *	GetPrimaryOutputName () const

DataObject *	GetOutput (DataObjectPointerArraySizeType i)

const DataObject *	GetOutput (DataObjectPointerArraySizeType i) const

DataObject *	GetPrimaryOutput ()

const DataObject *	GetPrimaryOutput () 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

void	PrintSelf (std::ostream &os, Indent indent) const override

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	PrintSelf (std::ostream &os, Indent indent) const

virtual void	PrintTrailer (std::ostream &os, Indent indent) const

virtual	~LightObject ()

Private Member Functions
void	CollapsePhiLattice (PointDataImageType , PointDataImageType , const RealType, const unsigned int)

void	GenerateOutputImage ()

IndexType	NumberToIndex (const unsigned int, const SizeType)

void	RefineControlPointLattice ()

void	SetPhiLatticeParametricDomainParameters ()

void	ThreadedGenerateDataForFitting (const RegionType &, ThreadIdType)

void	ThreadedGenerateDataForReconstruction (const RegionType &, ThreadIdType)

void	ThreadedGenerateDataForUpdatingResidualValues (const RegionType &, ThreadIdType)

Private Attributes
RealType	m_BSplineEpsilon { static_cast<RealType>(1e-3) }

ArrayType	m_CloseDimension {}

unsigned int	m_CurrentLevel { 0 }

ArrayType	m_CurrentNumberOfControlPoints {}

std::vector< PointDataImagePointer >	m_DeltaLatticePerThread {}

bool	m_DoMultilevel { false }

bool	m_DoUpdateResidualValues { false }

bool	m_GenerateOutputImage { true }

bool	m_IsFittingComplete { false }

KernelType::Pointer	m_Kernel [ImageDimension] {}

KernelOrder0Type::Pointer	m_KernelOrder0 {}

KernelOrder1Type::Pointer	m_KernelOrder1 {}

KernelOrder2Type::Pointer	m_KernelOrder2 {}

KernelOrder3Type::Pointer	m_KernelOrder3 {}

unsigned int	m_MaximumNumberOfLevels { 1 }

ArrayType	m_NumberOfControlPoints {}

ArrayType	m_NumberOfLevels {}

std::vector< RealImagePointer >	m_OmegaLatticePerThread {}

PointDataImageType::Pointer	m_PhiLattice {}

WeightsContainerType::Pointer	m_PointWeights {}

PointDataImageType::Pointer	m_PsiLattice {}

vnl_matrix< RealType >	m_RefinedLatticeCoefficients [ImageDimension] {}

PointDataContainerPointer	m_ResidualPointSetValues {}

ArrayType	m_SplineOrder {}

bool	m_UsePointWeights { false }

Additional Inherited Members
Static Protected Member Functions inherited from itk::ImageSource< TOutputImage >
static const ImageRegionSplitterBase *	GetGlobalDefaultSplitter ()

static ITK_THREAD_RETURN_FUNCTION_CALL_CONVENTION	ThreaderCallback (void *arg)

Static Protected Member Functions inherited from itk::ProcessObject
template<typename TSourceObject >
static void	MakeRequiredOutputs (TSourceObject &sourceObject, const DataObjectPointerArraySizeType numberOfRequiredOutputs)

static constexpr float	progressFixedToFloat (uint32_t fixed)

static uint32_t	progressFloatToFixed (float f)

Protected Attributes inherited from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >
DirectionType	m_Direction {}

ValueType	m_InsideValue {}

PointType	m_Origin {}

ValueType	m_OutsideValue {}

SizeType	m_Size {}

SpacingType	m_Spacing {}

Protected Attributes inherited from itk::ImageSource< TOutputImage >
bool	m_DynamicMultiThreading { true }

Protected Attributes inherited from itk::ProcessObject
TimeStamp	m_OutputInformationMTime {}

bool	m_Updating {}

Protected Attributes inherited from itk::LightObject
std::atomic< int >	m_ReferenceCount {}

Member Typedef Documentation

◆ ArrayType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ArrayType = FixedArray<unsigned int, Self::ImageDimension>

Definition at line 179 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ ConstPointer

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ConstPointer = SmartPointer<const Self>

Definition at line 142 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ ImageType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ImageType = TOutputImage

Definition at line 153 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ IndexType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::IndexType = typename ImageType::IndexType

Definition at line 161 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ KernelOrder0Type

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::KernelOrder0Type = BSplineKernelFunction<0>

Definition at line 184 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ KernelOrder1Type

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::KernelOrder1Type = BSplineKernelFunction<1>

Definition at line 185 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ KernelOrder2Type

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::KernelOrder2Type = BSplineKernelFunction<2>

Definition at line 186 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ KernelOrder3Type

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::KernelOrder3Type = BSplineKernelFunction<3>

Definition at line 187 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ KernelType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::KernelType = CoxDeBoorBSplineKernelFunction<3>

Interpolation kernel type (default spline order = 3).

Definition at line 183 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ OutputImageRegionType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::OutputImageRegionType = RegionType

Definition at line 159 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PixelType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PixelType = typename ImageType::PixelType

Image type alias support

Definition at line 157 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointDataContainerPointer

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointDataContainerPointer = typename PointDataContainerType::Pointer

Definition at line 168 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointDataContainerType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointDataContainerType = typename PointSetType::PointDataContainer

Definition at line 167 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointDataImagePointer

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointDataImagePointer = typename PointDataImageType::Pointer

Definition at line 178 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointDataImageType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointDataImageType = Image<PointDataType, Self::ImageDimension>

Image types.

Definition at line 175 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointDataType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointDataType = typename PointSetType::PixelType

Definition at line 166 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ Pointer

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::Pointer = SmartPointer<Self>

Definition at line 141 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointSetPointer

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointSetPointer = typename PointSetType::Pointer

Definition at line 165 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointSetType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointSetType = TInputPointSet

Definition at line 154 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ PointType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::PointType = typename PointSetType::PointType

PointSet type alias support

Definition at line 164 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ RealArrayType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::RealArrayType = FixedArray<RealType, Self::ImageDimension>

Definition at line 180 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ RealImagePointer

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::RealImagePointer = typename RealImageType::Pointer

Definition at line 177 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ RealImageType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::RealImageType = Image<RealType, Self::ImageDimension>

Definition at line 176 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ RealType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::RealType = float

Other type alias.

Definition at line 171 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ RegionType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::RegionType = typename ImageType::RegionType

Definition at line 158 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ Self

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::Self = BSplineScatteredDataPointSetToImageFilter

Standard class type aliases.

Definition at line 139 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ SizeType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SizeType = typename ImageType::SizeType

Definition at line 160 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ Superclass

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::Superclass = PointSetToImageFilter<TInputPointSet, TOutputImage>

Definition at line 140 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ WeightsContainerType

template<typename TInputPointSet , typename TOutputImage >

using itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::WeightsContainerType = VectorContainer<unsigned int, RealType>

Definition at line 172 of file itkBSplineScatteredDataPointSetToImageFilter.h.

Constructor & Destructor Documentation

◆ BSplineScatteredDataPointSetToImageFilter()

template<typename TInputPointSet , typename TOutputImage >

itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::BSplineScatteredDataPointSetToImageFilter ( )

protected

◆ ~BSplineScatteredDataPointSetToImageFilter()

template<typename TInputPointSet , typename TOutputImage >

itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::~BSplineScatteredDataPointSetToImageFilter ( )

overrideprotecteddefault

Member Function Documentation

◆ AfterThreadedGenerateData()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::AfterThreadedGenerateData ( )

overrideprotectedvirtual

If an imaging filter needs to perform processing after all processing threads have completed, the filter can can provide an implementation for AfterThreadedGenerateData(). The execution flow in the default GenerateData() method will be: 1) Allocate the output buffer 2) Call BeforeThreadedGenerateData() 3) Spawn threads, calling ThreadedGenerateData() in each thread. 4) Call AfterThreadedGenerateData() Note that this flow of control is only available if a filter provides a ThreadedGenerateData() method and NOT a GenerateData() method.

Reimplemented from itk::ImageSource< TOutputImage >.

◆ BeforeThreadedGenerateData()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::BeforeThreadedGenerateData ( )

overrideprotectedvirtual

If an imaging filter needs to perform processing after the buffer has been allocated but before threads are spawned, the filter can can provide an implementation for BeforeThreadedGenerateData(). The execution flow in the default GenerateData() method will be: 1) Allocate the output buffer 2) Call BeforeThreadedGenerateData() 3) Spawn threads, calling ThreadedGenerateData() in each thread. 4) Call AfterThreadedGenerateData() Note that this flow of control is only available if a filter provides a ThreadedGenerateData() method and NOT a GenerateData() method.

Reimplemented from itk::ImageSource< TOutputImage >.

◆ CollapsePhiLattice()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::CollapsePhiLattice	(	PointDataImageType *	,
		PointDataImageType *	,
		const	RealType,
		const unsigned int
	)

private

Sub-function used by GenerateOutputImageFast() to generate the sampled B-spline object quickly.

◆ DynamicThreadedGenerateData()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::DynamicThreadedGenerateData ( const RegionType & )

inlineoverrideprotected

Definition at line 303 of file itkBSplineScatteredDataPointSetToImageFilter.h.

◆ GenerateData()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GenerateData ( )

overrideprotectedvirtual

A version of GenerateData() specific for image processing filters. This implementation will split the processing across multiple threads. The buffer is allocated by this method. Then the BeforeThreadedGenerateData() method is called (if provided). Then, a series of threads are spawned each calling DynamicThreadedGenerateData(). After all the threads have completed processing, the AfterThreadedGenerateData() method is called (if provided). If an image processing filter cannot be threaded, the filter should provide an implementation of GenerateData(). That implementation is responsible for allocating the output buffer. If a filter can be threaded, it should NOT provide a GenerateData() method but should provide a DynamicThreadedGenerateData() instead.

See also: ThreadedGenerateData()

Reimplemented from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >.

◆ GenerateOutputImage()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GenerateOutputImage ( )

private

This function is not used as it requires an evaluation of all (SplineOrder+1)^ImageDimensions B-spline weights for each evaluation.

◆ GenerateOutputImageOn()

template<typename TInputPointSet , typename TOutputImage >

virtual void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GenerateOutputImageOn ( )

virtual

Set/Get whether or not the sampled output B-spline object is constructed. The result of the fitting process is an n-D grid of control points which describe the continuous B-spline object.

◆ GetBSplineEpsilon()

template<typename TInputPointSet , typename TOutputImage >

virtual RealType itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetBSplineEpsilon ( ) const

virtual

Set/Get the epsilon used for B-splines. The B-spline parametric domain in 1-D is defined on the half-closed interval [a,b). Extension to n-D is defined similarly. This presents some difficulty for defining the the image domain to be co-extensive with the parametric domain. We use the B-spline epsilon to push the edge of the image boundary inside the B-spline parametric domain.

◆ GetCloseDimension()

template<typename TInputPointSet , typename TOutputImage >

virtual const ArrayType & itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetCloseDimension ( ) const

virtual

Set/Get the array to define the periodicity of the dimensions in the parametric space is to be. This array of 0/1 values defines whether a particular dimension of the parametric space is to be considered periodic or not. For example, if you are using interpolating along a 1D closed curve, the array type will have size 1, and you should set the first element of this array to the value "1". In the case that you were interpolating in a planar surface with cylindrical topology, the array type will have two components, and you should set to "1" the component that goes around the cylinder, and set to "0" the component that goes from the top of the cylinder to the bottom. This will indicate the periodicity of that parameter to the filter. Internally, in order to make periodic the domain of the parameter, the filter will reuse some of the points at the beginning of the domain as if they were also located at the end of the domain. The number of points to be reused will depend on the spline order. As a user, you don't need to replicate the points, the filter will do this for you.

◆ GetCurrentNumberOfControlPoints()

template<typename TInputPointSet , typename TOutputImage >

virtual const ArrayType & itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetCurrentNumberOfControlPoints ( ) const

virtual

Get the number of current control points for each parametric dimension at the current fitting level. The B-spline mesh size is equal to the number of control points minus the spline order. Default = 4 in each dimension.

◆ GetGenerateOutputImage()

template<typename TInputPointSet , typename TOutputImage >

virtual const bool & itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetGenerateOutputImage ( ) const

virtual

Set/Get whether or not the sampled output B-spline object is constructed. The result of the fitting process is an n-D grid of control points which describe the continuous B-spline object.

◆ GetNameOfClass()

template<typename TInputPointSet , typename TOutputImage >

const char * itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetNameOfClass ( ) const

overridevirtual

See also: LightObject::GetNameOfClass()

Reimplemented from itk::PointSetToImageFilter< TInputPointSet, TOutputImage >.

◆ GetNumberOfControlPoints()

template<typename TInputPointSet , typename TOutputImage >

virtual const ArrayType & itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetNumberOfControlPoints ( ) const

virtual

Set/Get the number of control points for each parametric dimension at the initial fitting level. The B-spline mesh size is equal to the number of control points minus the spline order. Default = 4 in each dimension.

◆ GetNumberOfLevels()

template<typename TInputPointSet , typename TOutputImage >

virtual const ArrayType & itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetNumberOfLevels ( ) const

virtual

Get the number of fitting levels for all parametric dimensions. Starting with the mesh size implied by setting the number of control points, the mesh size is doubled at each fitting level. Default = 1 in all parametric dimensions.

◆ GetPhiLattice()

template<typename TInputPointSet , typename TOutputImage >

PointDataImagePointer itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetPhiLattice ( )

inline

Get the control point lattice produced by the fitting process.

Definition at line 287 of file itkBSplineScatteredDataPointSetToImageFilter.h.

References itk::ProcessObject::GetOutput().

◆ GetSplineOrder()

template<typename TInputPointSet , typename TOutputImage >

virtual const ArrayType & itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::GetSplineOrder ( ) const

virtual

Get the spline order for all parametric dimensions. The spline order determines the continuity between B-spline elements and the degree of polynomial used to construct the B-spline elements. Default = 3.

◆ New()

template<typename TInputPointSet , typename TOutputImage >

static Pointer itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::New ( )

static

Method for creation through the object factory.

◆ NumberToIndex()

template<typename TInputPointSet , typename TOutputImage >

IndexType itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::NumberToIndex	(	const unsigned int	,
		const	SizeType
	)

private

Convert number to index given a size of image. Used to index the local control point neighborhoods.

◆ PrintSelf()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, 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::PointSetToImageFilter< TInputPointSet, TOutputImage >.

◆ RefineControlPointLattice()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::RefineControlPointLattice ( )

private

Function used to propagate the fitting solution at one fitting level to the next level with the mesh resolution doubled.

◆ SetBSplineEpsilon()

template<typename TInputPointSet , typename TOutputImage >

virtual void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetBSplineEpsilon ( RealType _arg )

virtual

Set/Get the epsilon used for B-splines. The B-spline parametric domain in 1-D is defined on the half-closed interval [a,b). Extension to n-D is defined similarly. This presents some difficulty for defining the the image domain to be co-extensive with the parametric domain. We use the B-spline epsilon to push the edge of the image boundary inside the B-spline parametric domain.

◆ SetCloseDimension()

template<typename TInputPointSet , typename TOutputImage >

virtual void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetCloseDimension ( ArrayType _arg )

virtual

Set/Get the array to define the periodicity of the dimensions in the parametric space is to be. This array of 0/1 values defines whether a particular dimension of the parametric space is to be considered periodic or not. For example, if you are using interpolating along a 1D closed curve, the array type will have size 1, and you should set the first element of this array to the value "1". In the case that you were interpolating in a planar surface with cylindrical topology, the array type will have two components, and you should set to "1" the component that goes around the cylinder, and set to "0" the component that goes from the top of the cylinder to the bottom. This will indicate the periodicity of that parameter to the filter. Internally, in order to make periodic the domain of the parameter, the filter will reuse some of the points at the beginning of the domain as if they were also located at the end of the domain. The number of points to be reused will depend on the spline order. As a user, you don't need to replicate the points, the filter will do this for you.

◆ SetGenerateOutputImage()

template<typename TInputPointSet , typename TOutputImage >

virtual void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetGenerateOutputImage ( bool _arg )

virtual

Set/Get whether or not the sampled output B-spline object is constructed. The result of the fitting process is an n-D grid of control points which describe the continuous B-spline object.

◆ SetNumberOfControlPoints()

template<typename TInputPointSet , typename TOutputImage >

virtual void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetNumberOfControlPoints ( ArrayType _arg )

virtual

Set/Get the number of control points for each parametric dimension at the initial fitting level. The B-spline mesh size is equal to the number of control points minus the spline order. Default = 4 in each dimension.

◆ SetNumberOfLevels() [1/2]

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetNumberOfLevels ( const ArrayType & )

Set the number of fitting levels in each parametric dimension separately. Starting with the mesh size implied by setting the number of control points, the mesh size is doubled at each fitting level. Default = 1 in all parametric dimensions.

◆ SetNumberOfLevels() [2/2]

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetNumberOfLevels ( unsigned int )

Set the number of fitting levels assuming the number of fitting levels is the same for each parametric dimension. Starting with the mesh size implied by setting the number of control points, the mesh size is doubled at each fitting level. Default = 1 in all parametric dimensions.

◆ SetPhiLatticeParametricDomainParameters()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetPhiLatticeParametricDomainParameters ( )

private

Set the grid parametric domain parameters such as the origin, size, spacing, and direction.

◆ SetPointWeights()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetPointWeights ( WeightsContainerType * weights )

A weighted fitting is possible where each input point is assigned a relative weighting.

◆ SetSplineOrder() [1/2]

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetSplineOrder ( const ArrayType & )

Set the spline order for each parametric dimension separately. The spline order determines the continuity between B-spline elements and the degree of polynomial used to construct the B-spline elements. Default = 3.

◆ SetSplineOrder() [2/2]

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SetSplineOrder ( unsigned int )

Set the spline order assuming it is the same in all parametric dimensions. The spline order determines the continuity between B-spline elements and the degree of polynomial used to construct the B-spline elements. Default = 3.

◆ SplitRequestedRegion()

template<typename TInputPointSet , typename TOutputImage >

unsigned int itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::SplitRequestedRegion	(	unsigned int	,
		unsigned int	,
		RegionType &
	)

overrideprotected

◆ ThreadedGenerateData()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ThreadedGenerateData	(	const RegionType &	,
		ThreadIdType
	)

overrideprotected

◆ ThreadedGenerateDataForFitting()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ThreadedGenerateDataForFitting	(	const RegionType &	,
		ThreadIdType
	)

private

Function used to generate the sampled B-spline object quickly.

◆ ThreadedGenerateDataForReconstruction()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ThreadedGenerateDataForReconstruction	(	const RegionType &	,
		ThreadIdType
	)

private

Function used to generate the sampled B-spline object quickly.

◆ ThreadedGenerateDataForUpdatingResidualValues()

template<typename TInputPointSet , typename TOutputImage >

void itk::BSplineScatteredDataPointSetToImageFilter< TInputPointSet, TOutputImage >::ThreadedGenerateDataForUpdatingResidualValues	(	const RegionType &	,
		ThreadIdType
	)