#include <itkBSplineControlPointImageFunction.h>

Inheritance diagram for itk::BSplineControlPointImageFunction< TInputImage, TCoordRep >:

Collaboration diagram for itk::BSplineControlPointImageFunction< TInputImage, TCoordRep >:

Detailed Description

template<class TInputImage, class TCoordRep = double>
class itk::BSplineControlPointImageFunction< TInputImage, TCoordRep >

Evaluate a B-spline object given a grid of control points.

The output of the class itkBSplineScatteredDataPointSetToImageFilter: is a control point grid defining a B-spline object. This class is used to hold various routines meant to operate on that control point grid. In addition to specifying the control point grid as the input, the user must also supply the spline order and the parametric domain (i.e. size, domain, origin, spacing).

Operations include

Evaluation of the B-spline object at any point in the domain.
Evaluation of the gradient of the B-spline object at any point in the domain.
Evaluation of the Hessian of the B-spline object at any point in the domain.
Inverse estimation. Given a user-specified data point, one can find the parameters which minimize the "distance" between the evaluated data point and the B-spline object evaluated at those parameters. This is useful, for example, in determining the parametric values of a point on the curve closest to a user-specified point.

Author: Nicholas J. Tustison

Definition at line 66 of file itkBSplineControlPointImageFunction.h.

Public Types
typedef FixedArray< unsigned, ImageDimension >	ArrayType

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::ContinuousIndexType	ContinuousIndexType

typedef TInputImage	ControlPointLatticeType

typedef TCoordRep	CoordRepType

typedef VariableSizeMatrix < CoordRepType >	GradientType

typedef VariableSizeMatrix < CoordRepType >	HessianComponentType

typedef InputImageType::IndexType	IndexType

typedef InputImageType::RegionType	InputImageRegionType

typedef TInputImage	InputImageType

typedef BSplineKernelFunction< 0 >	KernelOrder0Type

typedef BSplineKernelFunction< 1 >	KernelOrder1Type

typedef BSplineKernelFunction< 2 >	KernelOrder2Type

typedef BSplineKernelFunction< 3 >	KernelOrder3Type

typedef CoxDeBoorBSplineKernelFunction< 3 >	KernelType

typedef InputImageType::PointType	OriginType

typedef PixelType	OutputType

typedef InputImageType::PixelType	PixelType

typedef SmartPointer< Self >	Pointer

typedef InputImageType::PointType	PointType

typedef RealImageType::Pointer	RealImagePointer

typedef Image< CoordRepType, ImageDimension >	RealImageType

typedef InputImageType::RegionType	RegionType

typedef BSplineControlPointImageFunction	Self

typedef InputImageType::SizeType	SizeType

typedef InputImageType::SpacingType	SpacingType

typedef ImageFunction < TInputImage, typename TInputImage::PixelType, TCoordRep >	Superclass

Public Types inherited from itk::ImageFunction< TInputImage, TInputImage::PixelType, TCoordRep >
typedef SmartPointer< const Self >	ConstPointer

typedef ContinuousIndex < TCoordRep, itkGetStaticConstMacro(ImageDimension) >	ContinuousIndexType

typedef TCoordRep	CoordRepType

typedef InputImageType::IndexType	IndexType

typedef InputImageType::IndexValueType	IndexValueType

typedef InputImageType::ConstPointer	InputImageConstPointer

typedef TInputImage	InputImageType

typedef InputImageType::PixelType	InputPixelType

typedef TInputImage::PixelType	OutputType

typedef SmartPointer< Self >	Pointer

typedef Point< TCoordRep, itkGetStaticConstMacro(ImageDimension) >	PointType

typedef ImageFunction	Self

typedef FunctionBase< Point < TCoordRep, itkGetStaticConstMacro(ImageDimension) > , TInputImage::PixelType >	Superclass

Public Types inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, TInputImage::PixelType >
typedef SmartPointer< const Self >	ConstPointer

typedef Point< TCoordRep, TInputImage::ImageDimension >	InputType

typedef TInputImage::PixelType	OutputType

typedef SmartPointer< Self >	Pointer

typedef FunctionBase	Self

typedef Object	Superclass

Public Types inherited from itk::Object
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Object	Self

typedef LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const

virtual OutputType	Evaluate (const PointType &) const

virtual OutputType	EvaluateAtContinuousIndex (const ContinuousIndexType &) const

virtual OutputType	EvaluateAtIndex (const IndexType &) const

OutputType	EvaluateAtParametricPoint (const PointType &) const

GradientType	EvaluateGradient (const PointType &) const

GradientType	EvaluateGradientAtContinuousIndex (const ContinuousIndexType &) const

GradientType	EvaluateGradientAtIndex (const IndexType &) const

GradientType	EvaluateGradientAtParametricPoint (const PointType &) const

HessianComponentType	EvaluateHessian (const PointType &, const unsigned int) const

HessianComponentType	EvaluateHessianAtContinuousIndex (const ContinuousIndexType &, const unsigned int) const

HessianComponentType	EvaluateHessianAtIndex (const IndexType &, const unsigned int) const

HessianComponentType	EvaluateHessianAtParametricPoint (const PointType &, const unsigned int) const

virtual const ArrayType &	GetCloseDimension ()

virtual OriginType	GetOrigin () const

virtual SizeType	GetSize () const

virtual SpacingType	GetSpacing () const

virtual const ArrayType &	GetSplineOrder ()

virtual void	SetCloseDimension (ArrayType _arg)

virtual void	SetInputImage (const InputImageType *)

virtual void	SetOrigin (OriginType _arg)

virtual void	SetSize (SizeType _arg)

virtual void	SetSpacing (SpacingType _arg)

void	SetSplineOrder (const unsigned int)

void	SetSplineOrder (const ArrayType &)

Public Member Functions inherited from itk::ImageFunction< TInputImage, TInputImage::PixelType, TCoordRep >
void	ConvertContinuousIndexToNearestIndex (const ContinuousIndexType &cindex, IndexType &index) const

void	ConvertPointToContinuousIndex (const PointType &point, ContinuousIndexType &cindex) const

void	ConvertPointToNearestIndex (const PointType &point, IndexType &index) const

virtual TInputImage::PixelType	Evaluate (const PointType &point) const =0

virtual TInputImage::PixelType	EvaluateAtContinuousIndex (const ContinuousIndexType &index) const =0

virtual const ContinuousIndexType &	GetEndContinuousIndex ()

virtual const IndexType &	GetEndIndex ()

const InputImageType *	GetInputImage () const

virtual const char *	GetNameOfClass () const

virtual const ContinuousIndexType &	GetStartContinuousIndex ()

virtual const IndexType &	GetStartIndex ()

virtual bool	IsInsideBuffer (const IndexType &index) const

virtual bool	IsInsideBuffer (const ContinuousIndexType &index) const

virtual bool	IsInsideBuffer (const PointType &point) const

Static Public Member Functions
static Pointer	New ()

Static Public Attributes
static const unsigned int	ImageDimension = TInputImage::ImageDimension

Static Public Attributes inherited from itk::ImageFunction< TInputImage, TInputImage::PixelType, TCoordRep >
static const unsigned int	ImageDimension

Protected Member Functions
	BSplineControlPointImageFunction ()

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

virtual	~BSplineControlPointImageFunction ()

Protected Member Functions inherited from itk::ImageFunction< TInputImage, TInputImage::PixelType, TCoordRep >
	ImageFunction ()

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

	~ImageFunction ()

Protected Member Functions inherited from itk::FunctionBase< Point< TCoordRep, TInputImage::ImageDimension >, TInputImage::PixelType >
	FunctionBase ()

	~FunctionBase ()

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
	BSplineControlPointImageFunction (const Self &)

void	operator= (const Self &)

Additional Inherited Members
Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

Protected Attributes inherited from itk::ImageFunction< TInputImage, TInputImage::PixelType, TCoordRep >
ContinuousIndexType	m_EndContinuousIndex

IndexType	m_EndIndex

InputImageConstPointer	m_Image

ContinuousIndexType	m_StartContinuousIndex

IndexType	m_StartIndex