ITK  4.3.0
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itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder > Class Template Reference
Module ITKTransform

#include <itkBSplineDeformableTransform.h>

+ Inheritance diagram for itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >:
+ Collaboration diagram for itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >:

Detailed Description

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
class itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >

Deformable transform using a BSpline representation.

This class encapsulates a deformable transform of points from one N-dimensional space to another N-dimensional space. The deformation field is modelled using B-splines. A deformation is defined on a sparse regular grid of control points $ \vec{\lambda}_j $ and is varied by defining a deformation $ \vec{g}(\vec{\lambda}_j) $ of each control point. The deformation $ D(\vec{x}) $ at any point $ \vec{x} $ is obtained by using a B-spline interpolation kernel.

The deformation field grid is defined by a user specified GridRegion, GridSpacing and GridOrigin. Each grid/control point has associated with it N deformation coefficients $ \vec{\delta}_j $, representing the N directional components of the deformation. Deformation outside the grid plus support region for the BSpline interpolation is assumed to be zero.

Additionally, the user can specified an addition bulk transform $ B $ such that the transformed point is given by:

\[ \vec{y} = B(\vec{x}) + D(\vec{x}) \]

The parameters for this transform is an N x N-D grid of spline coefficients. The user specifies the parameters as one flat array: each N-D grid is represented by an array in the same way an N-D image is represented in the buffer; the N arrays are then concatentated together on form a single array.

For efficiency, this transform does not make a copy of the parameters. It only keeps a pointer to the input parameters and assumes that the memory is managed by the caller.

The following illustrates the typical usage of this class: 

* typedef BSplineDeformableTransform<double,2,3> TransformType;
* TransformType::Pointer transform = TransformType::New();
*
* transform->SetGridRegion( region );
* transform->SetGridSpacing( spacing );
* transform->SetGridOrigin( origin );
*
* // NB: the region must be set first before setting the parameters
*
* TransformType::ParametersType parameters(
*                                       transform->GetNumberOfParameters() );
*
* // Fill the parameters with values
*
* transform->SetParameters( parameters )
*
* outputPoint = transform->TransformPoint( inputPoint );
*
*

An alternative way to set the B-spline coefficients is via array of images. The grid region, spacing and origin information is taken directly from the first image. It is assumed that the subsequent images are the same buffered region. The following illustrates the API: 

*
* TransformType::ImageConstPointer images[2];
*
* // Fill the images up with values
*
* transform->SetCoefficientImages( images );
* outputPoint = transform->TransformPoint( inputPoint );
*
*

Warning: use either the SetParameters() or SetCoefficientImages() API. Mixing the two modes may results in unexpected results.

The class is templated coordinate representation type (float or double), the space dimension and the spline order.

Wiki Examples:

Definition at line 109 of file itkBSplineDeformableTransform.h.

Public Types

typedef
BulkTransformType::ConstPointer 		BulkTransformPointer
 
typedef Transform< ScalarType,
itkGetStaticConstMacro(SpaceDimension),
itkGetStaticConstMacro(SpaceDimension)> 		BulkTransformType
 
typedef
Superclass::CoefficientImageArray 		CoefficientImageArray
 
typedef SmartPointer< const Self > ConstPointer
 
typedef
Superclass::ContinuousIndexType 		ContinuousIndexType
 
typedef Superclass::DirectionType DirectionType
 
typedef Superclass::ImagePointer ImagePointer
 
typedef Superclass::ImageType ImageType
 
typedef Superclass::IndexType IndexType
 
typedef
Superclass::InputCovariantVectorType 		InputCovariantVectorType
 
typedef Superclass::InputVectorType InputVectorType
 
typedef
Superclass::InputVnlVectorType 		InputVnlVectorType
 
typedef Superclass::JacobianType JacobianType
 
typedef Superclass::MeshSizeType MeshSizeType
 
typedef
Superclass::NumberOfParametersType 		NumberOfParametersType
 
typedef Superclass::OriginType OriginType
 
typedef
Superclass::OutputCovariantVectorType 		OutputCovariantVectorType
 
typedef
Superclass::OutputVectorType 		OutputVectorType
 
typedef
Superclass::OutputVnlVectorType 		OutputVnlVectorType
 
typedef
Superclass::ParameterIndexArrayType 		ParameterIndexArrayType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 		ParametersValueType
 
typedef Superclass::SpacingType PhysicalDimensionsType
 
typedef Superclass::PixelType PixelType
 
typedef SmartPointer< Self > Pointer
 
typedef Superclass::RegionType RegionType
 
typedef Superclass::ScalarType ScalarType
 
typedef BSplineDeformableTransform Self
 
typedef Superclass::SizeType SizeType
 
typedef Superclass::SpacingType SpacingType
 
typedef BSplineBaseTransform
< TScalarType, NDimensions,
VSplineOrder > 		Superclass
 
typedef
Superclass::WeightsFunctionType 		WeightsFunctionType
 
typedef Superclass::WeightsType WeightsType
 
typedef Point< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		InputPointType
 
typedef Point< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		OutputPointType
 
- Public Types inherited from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >
typedef FixedArray
< ImagePointer, NDimensions > 		CoefficientImageArray
 
typedef SmartPointer< const Self > ConstPointer
 
typedef
WeightsFunctionType::ContinuousIndexType 		ContinuousIndexType
 
typedef Superclass::DerivativeType DerivativeType
 
typedef ImageType::DirectionType DirectionType
 
typedef ImageType::Pointer ImagePointer
 
typedef Image
< ParametersValueType,
itkGetStaticConstMacro(SpaceDimension)> 		ImageType
 
typedef RegionType::IndexType IndexType
 
typedef vnl_vector_fixed
< TScalarType, SpaceDimension > 		InputVnlVectorType
 
typedef Superclass::JacobianType JacobianType
 
typedef SizeType MeshSizeType
 
typedef
Superclass::NumberOfParametersType 		NumberOfParametersType
 
typedef ImageType::PointType OriginType
 
typedef vnl_vector_fixed
< TScalarType, SpaceDimension > 		OutputVnlVectorType
 
typedef Array< unsigned long > ParameterIndexArrayType
 
typedef Superclass::ParametersType ParametersType
 
typedef ParametersType::ValueType ParametersValueType
 
typedef ImageType::SpacingType PhysicalDimensionsType
 
typedef ImageType::PixelType PixelType
 
typedef SmartPointer< Self > Pointer
 
typedef ImageRegion
< itkGetStaticConstMacro(SpaceDimension)> 		RegionType
 
typedef Superclass::ScalarType ScalarType
 
typedef BSplineBaseTransform Self
 
typedef RegionType::SizeType SizeType
 
typedef ImageType::SpacingType SpacingType
 
typedef Transform< TScalarType,
NDimensions, NDimensions > 		Superclass
 
typedef
Superclass::TransformCategoryType 		TransformCategoryType
 
typedef
BSplineInterpolationWeightFunction
< ScalarType,
itkGetStaticConstMacro(SpaceDimension),
itkGetStaticConstMacro(SplineOrder)> 		WeightsFunctionType
 
typedef
WeightsFunctionType::WeightsType 		WeightsType
 
typedef Vector< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		InputVectorType
 
typedef Vector< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		OutputVectorType
 
typedef CovariantVector
< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		InputCovariantVectorType
 
typedef CovariantVector
< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		OutputCovariantVectorType
 
typedef Point< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		InputPointType
 
typedef Point< TScalarType,
itkGetStaticConstMacro(SpaceDimension)> 		OutputPointType
 
- Public Types inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
typedef SmartPointer< const Self > ConstPointer
 
typedef Array
< ParametersValueType > 		DerivativeType
 
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 		DirectionChangeMatrix
 
typedef CovariantVector
< TScalarType,
NInputDimensions > 		InputCovariantVectorType
 
typedef DiffusionTensor3D
< TScalarType > 		InputDiffusionTensor3DType
 
typedef Matrix< double,
itkGetStaticConstMacro(InputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 		InputDirectionMatrix
 
typedef Point< TScalarType,
NInputDimensions > 		InputPointType
 
typedef
SymmetricSecondRankTensor
< TScalarType,
NInputDimensions > 		InputSymmetricSecondRankTensorType
 
typedef VariableLengthVector
< TScalarType > 		InputVectorPixelType
 
typedef Vector< TScalarType,
NInputDimensions > 		InputVectorType
 
typedef vnl_vector_fixed
< TScalarType,
NInputDimensions > 		InputVnlVectorType
 
typedef
InverseTransformBaseType::Pointer 		InverseTransformBasePointer
 
typedef Transform< TScalarType,
NOutputDimensions,
NInputDimensions > 		InverseTransformBaseType
 
typedef Array2D
< ParametersValueType > 		JacobianType
 
typedef Matrix< TScalarType,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> 		MatrixType
 
typedef
Superclass::NumberOfParametersType 		NumberOfParametersType
 
typedef CovariantVector
< TScalarType,
NOutputDimensions > 		OutputCovariantVectorType
 
typedef DiffusionTensor3D
< TScalarType > 		OutputDiffusionTensor3DType
 
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(OutputSpaceDimension)> 		OutputDirectionMatrix
 
typedef Point< TScalarType,
NOutputDimensions > 		OutputPointType
 
typedef
SymmetricSecondRankTensor
< TScalarType,
NOutputDimensions > 		OutputSymmetricSecondRankTensorType
 
typedef VariableLengthVector
< TScalarType > 		OutputVectorPixelType
 
typedef Vector< TScalarType,
NOutputDimensions > 		OutputVectorType
 
typedef vnl_vector_fixed
< TScalarType,
NOutputDimensions > 		OutputVnlVectorType
 
typedef Superclass::ParametersType ParametersType
 
typedef
Superclass::ParametersValueType 		ParametersValueType
 
typedef SmartPointer< Self > Pointer
 
typedef TScalarType ScalarType
 
typedef Transform Self
 
typedef TransformBase Superclass
 
- Public Types inherited from itk::TransformBase
typedef SmartPointer< const Self > ConstPointer
 
typedef IdentifierType NumberOfParametersType
 
typedef OptimizerParameters
< ParametersValueType > 		ParametersType
 
typedef double ParametersValueType
 
typedef SmartPointer< Self > Pointer
 
typedef TransformBase Self
 
typedef Object Superclass
 
enum  TransformCategoryType {
  UnknownTransformCategory =0,
  Linear =1,
  BSpline =2,
  Spline =3,
  DisplacementField =4,
  VelocityField =5
}
 
- 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 void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const
 
virtual DirectionType GetGridDirection () const
 
virtual OriginType GetGridOrigin () const
 
virtual RegionType GetGridRegion () const
 
virtual SpacingType GetGridSpacing () const
 
virtual const char * GetNameOfClass () const
 
virtual NumberOfParametersType GetNumberOfParameters () const
 
NumberOfParametersType GetNumberOfParametersPerDimension () const
 
virtual const RegionType & GetValidRegion ()
 
 itkCloneMacro (Self)
 
virtual void SetCoefficientImages (const CoefficientImageArray &images)
 
virtual void SetGridDirection (const DirectionType &)
 
virtual void SetGridOrigin (const OriginType &)
 
virtual void SetGridRegion (const RegionType &)
 
virtual void SetGridSpacing (const SpacingType &)
 
virtual void SetFixedParameters (const ParametersType &parameters)
 
virtual void TransformPoint (const InputPointType &inputPoint, OutputPointType &outputPoint, WeightsType &weights, ParameterIndexArrayType &indices, bool &inside) const
 
virtual void SetBulkTransform (const BulkTransformType *_arg)
 
virtual const BulkTransformType * GetBulkTransform ()
 
- Public Member Functions inherited from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >
void ComputeJacobianFromBSplineWeightsWithRespectToPosition (const InputPointType &, WeightsType &, ParameterIndexArrayType &) const
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
 
const CoefficientImageArray GetCoefficientImages () const
 
virtual const ParametersType & GetFixedParameters () const
 
unsigned int GetNumberOfAffectedWeights () const
 
virtual NumberOfParametersType GetNumberOfLocalParameters () const
 
unsigned long GetNumberOfWeights () const
 
virtual const ParametersType & GetParameters () const
 
virtual TransformCategoryType GetTransformCategory () const
 
 itkCloneMacro (Self)
 
void SetIdentity ()
 
void SetParameters (const ParametersType &parameters)
 
void SetParametersByValue (const ParametersType &parameters)
 
OutputPointType TransformPoint (const InputPointType &point) const
 
virtual void UpdateTransformParameters (const DerivativeType &update, TScalarType factor=1.0)
 
virtual OutputVectorType TransformVector (const InputVectorType &) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
 
- Public Member Functions inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
virtual void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const
 
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const
 
unsigned int GetInputSpaceDimension (void) const
 
bool GetInverse (Self *) const
 
virtual InverseTransformBasePointer GetInverseTransform () const
 
unsigned int GetOutputSpaceDimension (void) const
 
virtual std::string GetTransformTypeAsString () const
 
virtual bool IsLinear () const
 
 itkCloneMacro (Self)
 
virtual void SetFixedParameters (const ParametersType &)=0
 
virtual void SetParameters (const ParametersType &)=0
 
virtual void SetParametersByValue (const ParametersType &p)
 
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const
 
virtual OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const
 
virtual OutputDiffusionTensor3DType TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const
 
virtual OutputDiffusionTensor3DType TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const
 
virtual OutputVectorPixelType TransformDiffusionTensor3D (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const
 
virtual
OutputSymmetricSecondRankTensorType 		TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const
 
virtual
OutputSymmetricSecondRankTensorType 		TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const
 
virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const
 
virtual OutputVectorType TransformVector (const InputVectorType &vector, const InputPointType &point) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
 
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const
 
virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &) const
 
virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const
 
virtual void UpdateTransformParameters (const DerivativeType &update, TScalarType factor=1.0)
 
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const
 

Static Public Attributes

static const unsigned int SpaceDimension = NDimensions
 
static const unsigned int SplineOrder = VSplineOrder
 
- Static Public Attributes inherited from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >
static const unsigned int SpaceDimension = NDimensions
 
static const unsigned int SplineOrder = VSplineOrder
 
- Static Public Attributes inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
static const unsigned int InputSpaceDimension
 
static const unsigned int OutputSpaceDimension
 

Protected Member Functions

 BSplineDeformableTransform ()
 
void PrintSelf (std::ostream &os, Indent indent) const
 
virtual ~BSplineDeformableTransform ()
 
- Protected Member Functions inherited from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >
 BSplineBaseTransform ()
 
virtual WeightsFunctionType * GetWeightsFunction ()
 
void SetFixedParametersFromTransformDomainInformation () const
 
virtual void SetWeightsFunction (WeightsFunctionType *_arg)
 
void WrapAsImages ()
 
virtual ~BSplineBaseTransform ()
 
- Protected Member Functions inherited from itk::Transform< TScalarType, NDimensions, NDimensions >
virtual LightObject::Pointer InternalClone () const
 
OutputDiffusionTensor3DType PreservationOfPrincipalDirectionDiffusionTensor3DReorientation (const InputDiffusionTensor3DType, const JacobianType) const
 
 Transform ()
 
 Transform (NumberOfParametersType NumberOfParameters)
 
virtual ~Transform ()
 
- Protected Member Functions inherited from itk::TransformBase
 TransformBase ()
 
virtual ~TransformBase ()
 
- 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
 LightObject ()
 
virtual void PrintHeader (std::ostream &os, Indent indent) const
 
virtual void PrintTrailer (std::ostream &os, Indent indent) const
 
virtual ~LightObject ()
 

Private Member Functions

 BSplineDeformableTransform (const Self &)
 
virtual bool InsideValidRegion (ContinuousIndexType &) const
 
void operator= (const Self &)
 
virtual void SetCoefficientImageInformationFromFixedParameters ()
 
virtual void SetFixedParametersGridDirectionFromTransformDomainInformation () const
 
virtual void SetFixedParametersGridOriginFromTransformDomainInformation () const
 
virtual void SetFixedParametersGridSizeFromTransformDomainInformation () const
 
virtual void SetFixedParametersGridSpacingFromTransformDomainInformation () const
 
void UpdateValidGridRegion ()
 

Private Attributes

BulkTransformPointer m_BulkTransform
 
const DirectionType & m_GridDirection
 
const OriginType & m_GridOrigin
 
const RegionType & m_GridRegion
 
const SpacingType & m_GridSpacing
 
unsigned long m_Offset
 
bool m_SplineOrderOdd
 
RegionType m_ValidRegion
 
IndexType m_ValidRegionFirst
 
IndexType m_ValidRegionLast
 
static Pointer New ()
 
virtual ::itk::LightObject::Pointer CreateAnother (void) const
 

Additional Inherited Members

- Static Public Member Functions inherited from itk::Object
static bool GetGlobalWarningDisplay ()
 
static void GlobalWarningDisplayOff ()
 
static void GlobalWarningDisplayOn ()
 
static Pointer New ()
 
static void SetGlobalWarningDisplay (bool flag)
 
- Protected Types inherited from itk::LightObject
typedef int InternalReferenceCountType
 
- Protected Attributes inherited from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >
CoefficientImageArray m_CoefficientImages
 
ParametersType m_InternalParametersBuffer
 
WeightsFunctionType::Pointer m_WeightsFunction
 

Member Typedef Documentation

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef BulkTransformType::ConstPointer itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::BulkTransformPointer

Definition at line 298 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Transform<ScalarType, itkGetStaticConstMacro(SpaceDimension), itkGetStaticConstMacro(SpaceDimension)> itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::BulkTransformType

Definition at line 294 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::CoefficientImageArray itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::CoefficientImageArray

Definition at line 201 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef SmartPointer<const Self> itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ConstPointer

Definition at line 117 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ContinuousIndexType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ContinuousIndexType

Definition at line 241 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::DirectionType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::DirectionType

Definition at line 234 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ImagePointer itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ImagePointer

Definition at line 200 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ImageType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ImageType

Definition at line 199 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::IndexType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::IndexType

Definition at line 231 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::InputCovariantVectorType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::InputCovariantVectorType

Standard covariant vector type for this class.

Definition at line 165 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Point<TScalarType, itkGetStaticConstMacro( SpaceDimension )> itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::InputPointType

Standard coordinate point type for this class.

Definition at line 173 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::InputVectorType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::InputVectorType

Standard vector type for this class.

Definition at line 161 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::InputVnlVectorType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::InputVnlVectorType

Standard vnl_vector type for this class.

Definition at line 169 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::JacobianType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::JacobianType

Standard Jacobian container.

Definition at line 155 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::MeshSizeType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::MeshSizeType

Definition at line 270 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::NumberOfParametersType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::NumberOfParametersType

The number of parameters defininig this transform.

Definition at line 158 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::OriginType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::OriginType

Definition at line 235 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::OutputCovariantVectorType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::OutputCovariantVectorType

Definition at line 166 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Point<TScalarType, itkGetStaticConstMacro( SpaceDimension )> itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::OutputPointType

Standard coordinate point type for this class.

Definition at line 174 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::OutputVectorType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::OutputVectorType

Definition at line 162 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::OutputVnlVectorType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::OutputVnlVectorType

Definition at line 170 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ParameterIndexArrayType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ParameterIndexArrayType

Parameter index array type.

Definition at line 244 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ParametersType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ParametersType

Standard parameters container.

Definition at line 152 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ParametersValueType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ParametersValueType

Parameters as SpaceDimension number of images.

Definition at line 198 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::SpacingType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::PhysicalDimensionsType

Definition at line 267 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::PixelType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::PixelType

Definition at line 268 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef SmartPointer<Self> itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::Pointer

Definition at line 116 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::RegionType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::RegionType

Typedefs for specifying the extent of the grid.

Definition at line 229 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::ScalarType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ScalarType

Standard scalar type for this class.

Definition at line 149 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef BSplineDeformableTransform itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::Self

Standard class typedefs.

Definition at line 114 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::SizeType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SizeType

Definition at line 232 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::SpacingType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SpacingType

Definition at line 233 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef BSplineBaseTransform<TScalarType,NDimensions,VSplineOrder> itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::Superclass

Definition at line 115 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::WeightsFunctionType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WeightsFunctionType

Interpolation weights function type.

Definition at line 238 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
typedef Superclass::WeightsType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::WeightsType

Definition at line 240 of file itkBSplineDeformableTransform.h.

Constructor & Destructor Documentation

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::BSplineDeformableTransform ( )
protected
template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::~BSplineDeformableTransform ( )
protectedvirtual
template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::BSplineDeformableTransform ( const Self &  )
private

Member Function Documentation

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::ComputeJacobianWithRespectToParameters ( const InputPointType &  ,
JacobianType &   
) const
virtual

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual ::itk::LightObject::Pointer itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::CreateAnother ( void  ) const
inlinevirtual

New macro for creation of through the object factory.

Reimplemented from itk::Object.

Definition at line 125 of file itkBSplineDeformableTransform.h.

References itk::SmartPointer< TObjectType >::GetPointer().

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual const BulkTransformType* itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetBulkTransform ( )
virtual

This method specifies the bulk transform to be applied. The default is the identity transform.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual DirectionType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetGridDirection ( ) const
virtual

Function to retrieve the transform domain direction.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual OriginType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetGridOrigin ( ) const
virtual

Function to retrieve the transform domain origin.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual RegionType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetGridRegion ( ) const
virtual

Function to retrieve the transform domain mesh size.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual SpacingType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetGridSpacing ( ) const
virtual

This method retrieve the grid spacing or resolution.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual const char* itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetNameOfClass ( ) const
virtual

Run-time type information (and related methods).

Reimplemented from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual NumberOfParametersType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetNumberOfParameters ( ) const
virtual

Return the number of parameters that completely define the Transfom

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
NumberOfParametersType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetNumberOfParametersPerDimension ( ) const
virtual

Return the number of parameters per dimension

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual const RegionType& itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::GetValidRegion ( )
virtual

Return the region of the grid wholly within the support region

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual bool itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::InsideValidRegion ( ContinuousIndexType &  ) const
privatevirtual

Check if a continuous index is inside the valid region.

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::itkCloneMacro ( Self  )

implement type-specific clone method

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
static Pointer itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::New ( )
static

New macro for creation of through the object factory.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::operator= ( const Self &  )
private
template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const
protectedvirtual

Print contents of an BSplineDeformableTransform.

Reimplemented from itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetBulkTransform ( const BulkTransformType *  _arg)
virtual

This method specifies the bulk transform to be applied. The default is the identity transform.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetCoefficientImageInformationFromFixedParameters ( )
privatevirtual

Construct control point grid size from transform domain information

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetCoefficientImages ( const CoefficientImageArray &  images)
virtual

Set the array of coefficient images.

This is an alternative API for setting the BSpline coefficients as an array of SpaceDimension images. The fixed parameters are taken from the first image. It is assumed that the buffered region of all the subsequent images are the same as the first image. Note that no error checking is done.

Warning: use either the SetParameters() or SetCoefficientImages() API. Mixing the two modes may results in unexpected results.

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetFixedParameters ( const ParametersType &  parameters)
virtual

This method sets the fixed parameters of the transform. For a BSpline deformation transform, the parameters are the following: Grid Size, Grid Origin, and Grid Spacing

The fixed parameters are the three times the size of the templated dimensions. This function has the effect of make the following calls: transform->SetGridSpacing( spacing ); transform->SetGridOrigin( origin ); transform->SetGridDirection( direction ); transform->SetGridRegion( bsplineRegion );

This function was added to allow the transform to work with the itkTransformReader/Writer I/O filters.

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetFixedParametersGridDirectionFromTransformDomainInformation ( ) const
privatevirtual

Construct control point grid direction from transform domain information

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetFixedParametersGridOriginFromTransformDomainInformation ( ) const
privatevirtual

Construct control point grid origin from transform domain information

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetFixedParametersGridSizeFromTransformDomainInformation ( ) const
privatevirtual

Construct control point grid size from transform domain information

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetFixedParametersGridSpacingFromTransformDomainInformation ( ) const
privatevirtual

Construct control point grid spacing from transform domain information

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetGridDirection ( const DirectionType &  )
virtual

Function to specify the transform domain direction.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetGridOrigin ( const OriginType &  )
virtual

Function to specify the transform domain origin.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetGridRegion ( const RegionType &  )
virtual

Function to specify the transform domain mesh size.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SetGridSpacing ( const SpacingType &  )
virtual

This method specifies the grid spacing or resolution.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
virtual void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::TransformPoint ( const InputPointType &  inputPoint,
OutputPointType &  outputPoint,
WeightsType &  weights,
ParameterIndexArrayType &  indices,
bool &  inside 
) const
virtual

Transform points by a BSpline deformable transformation. On return, weights contains the interpolation weights used to compute the deformation and indices of the x (zeroth) dimension coefficient parameters in the support region used to compute the deformation. Parameter indices for the i-th dimension can be obtained by adding ( i * this->GetNumberOfParametersPerDimension() ) to the indices array.

Implements itk::BSplineBaseTransform< TScalarType, NDimensions, VSplineOrder >.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
void itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::UpdateValidGridRegion ( )
private

Member Data Documentation

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
BulkTransformPointer itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_BulkTransform
private

The bulk transform.

Definition at line 353 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
const DirectionType& itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_GridDirection
private

Definition at line 350 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
const OriginType& itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_GridOrigin
private

Definition at line 348 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
const RegionType& itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_GridRegion
private

The variables defining the coefficient grid domain for the InternalParametersBuffer are taken from the m_CoefficientImages[0] image, and must be kept in sync with them. by using references to that instance, this is more naturally enforced and does not introduce a speed penalty of dereferencing through the pointers (although it does enforce some internal class synchronization).

Definition at line 347 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
const SpacingType& itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_GridSpacing
private

Definition at line 349 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
unsigned long itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_Offset
private

Variables defining the interpolation support region.

Definition at line 358 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
bool itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_SplineOrderOdd
private

Definition at line 359 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
RegionType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_ValidRegion
private

Definition at line 355 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
IndexType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_ValidRegionFirst
private

Definition at line 361 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
IndexType itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::m_ValidRegionLast
private

Definition at line 360 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
const unsigned int itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SpaceDimension = NDimensions
static

Dimension of the domain space.

Definition at line 143 of file itkBSplineDeformableTransform.h.

template<class TScalarType = double, unsigned int NDimensions = 3, unsigned int VSplineOrder = 3>
const unsigned int itk::BSplineDeformableTransform< TScalarType, NDimensions, VSplineOrder >::SplineOrder = VSplineOrder
static

The BSpline order.

Definition at line 146 of file itkBSplineDeformableTransform.h.

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