ITK  4.0.0
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itk::DisplacementFieldTransform< TScalar, NDimensions > Class Template Reference

Provides local/dense/high-dimensionaltiy transformation via a a displacement field. More...

#include <itkDisplacementFieldTransform.h>

Inheritance diagram for itk::DisplacementFieldTransform< TScalar, NDimensions >:
Collaboration diagram for itk::DisplacementFieldTransform< TScalar, NDimensions >:

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
typedef Superclass::DerivativeType DerivativeType
typedef
DisplacementFieldType::DirectionType 
DirectionType
typedef
DisplacementFieldType::Pointer 
DisplacementFieldPointer
typedef Image
< OutputVectorType, Dimension
DisplacementFieldType
typedef
DisplacementFieldType::IndexType 
IndexType
typedef
Superclass::InputCovariantVectorType 
InputCovariantVectorType
typedef
Superclass::InputDiffusionTensor3DType 
InputDiffusionTensor3DType
typedef Superclass::InputPointType InputPointType
typedef CovariantVector
< ScalarType,
InputDiffusionTensor3DType::Dimension > 
InputTensorEigenVectorType
typedef
Superclass::InputVectorPixelType 
InputVectorPixelType
typedef Superclass::InputVectorType InputVectorType
typedef
Superclass::InputVnlVectorType 
InputVnlVectorType
typedef
VectorInterpolateImageFunction
< DisplacementFieldType,
ScalarType
InterpolatorType
typedef
Superclass::InverseTransformBasePointer 
InverseTransformBasePointer
typedef Superclass::JacobianType JacobianType
typedef
Superclass::NumberOfParametersType 
NumberOfParametersType
typedef
ImageVectorOptimizerParametersHelper
< ScalarType,
OutputVectorType::Dimension,
Dimension
OptimizerParametersHelperType
typedef
Superclass::OutputCovariantVectorType 
OutputCovariantVectorType
typedef
Superclass::OutputDiffusionTensor3DType 
OutputDiffusionTensor3DType
typedef Superclass::OutputPointType OutputPointType
typedef CovariantVector
< ScalarType,
OutputDiffusionTensor3DType::Dimension > 
OutputTensorEigenVectorType
typedef
Superclass::OutputVectorPixelType 
OutputVectorPixelType
typedef
Superclass::OutputVectorType 
OutputVectorType
typedef
Superclass::OutputVnlVectorType 
OutputVnlVectorType
typedef Superclass::ParametersType ParametersType
typedef
Superclass::ParametersValueType 
ParametersValueType
typedef
DisplacementFieldType::PixelType 
PixelType
typedef SmartPointer< SelfPointer
typedef
DisplacementFieldType::PointType 
PointType
typedef
DisplacementFieldType::RegionType 
RegionType
typedef Superclass::ScalarType ScalarType
typedef DisplacementFieldTransform Self
typedef
DisplacementFieldType::SizeType 
SizeType
typedef
DisplacementFieldType::SpacingType 
SpacingType
typedef Transform< TScalar,
NDimensions, NDimensions > 
Superclass

Public Member Functions

virtual void ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const
virtual void ComputeJacobianWithRespectToParameters (const IndexType &, JacobianType &j) const
virtual void ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const
virtual void ComputeJacobianWithRespectToPosition (const IndexType &x, JacobianType &j) const
virtual ::itk::LightObject::Pointer CreateAnother (void) const
virtual DisplacementFieldTypeGetDisplacementField ()
virtual const unsigned long & GetDisplacementFieldSetTime ()
bool GetInverse (Self *inverse) const
virtual void GetInverseJacobianOfForwardFieldWithRespectToPosition (const IndexType &index, JacobianType &jacobian, bool useSVD=false) const
virtual void GetInverseJacobianOfForwardFieldWithRespectToPosition (const InputPointType &point, JacobianType &jacobian, bool useSVD=false) const
virtual InverseTransformBasePointer GetInverseTransform () const
virtual const char * GetNameOfClass () const
virtual NumberOfParametersType GetNumberOfLocalParameters (void) const
virtual bool HasLocalSupport () const
virtual bool IsLinear () const
virtual void SetDisplacementField (DisplacementFieldType *field)
virtual void SetFixedParameters (const ParametersType &)
virtual OutputVectorPixelType TransformCovariantVector (const InputVectorPixelType &) const
OutputVectorPixelType TransformDiffusionTensor (const InputVectorPixelType &) const
virtual OutputPointType TransformPoint (const InputPointType &thisPoint) const
virtual OutputVnlVectorType TransformVector (const InputVnlVectorType &) const
virtual OutputVectorPixelType TransformVector (const InputVectorPixelType &) const
virtual void UpdateTransformParameters (DerivativeType &update, ScalarType factor=1.0)
virtual DisplacementFieldTypeGetInverseDisplacementField ()
virtual void SetInverseDisplacementField (DisplacementFieldType *inverseDisplacementField)
virtual InterpolatorTypeGetInterpolator ()
virtual void SetInterpolator (InterpolatorType *interpolator)
virtual OutputVectorType TransformVector (const InputVectorType &) const
OutputDiffusionTensor3DType TransformDiffusionTensor (const InputDiffusionTensor3DType &) const
virtual OutputCovariantVectorType TransformCovariantVector (const InputCovariantVectorType &) const
virtual void SetParameters (const ParametersType &params)
virtual void ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &j) const

Static Public Member Functions

static Pointer New ()

Static Public Attributes

static const unsigned int Dimension = NDimensions

Protected Member Functions

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

Protected Attributes

DisplacementFieldType::Pointer m_DisplacementField
unsigned long m_DisplacementFieldSetTime
InterpolatorType::Pointer m_Interpolator
DisplacementFieldType::Pointer m_InverseDisplacementField

Private Member Functions

virtual void ComputeJacobianWithRespectToPositionInternal (const IndexType &index, JacobianType &jacobian, bool doInverseJacobian) const
virtual void SetFixedParametersFromDisplacementField () const
virtual void VerifyFixedParametersInformation ()
JacobianType m_IdentityJacobian
 DisplacementFieldTransform (const Self &)
void operator= (const Self &)

Detailed Description

template<class TScalar, unsigned int NDimensions>
class itk::DisplacementFieldTransform< TScalar, NDimensions >

Provides local/dense/high-dimensionaltiy transformation via a a displacement field.

The displacement field stores vectors of displacements, with dimension NDimensions. Transformation is performed at a given point by adding the displacement at that point to the input point.

T(x, p), x is the position, p is the local parameter at position x. For a 2D example:

x = (x0, x1), p = (p0, p1)

then T(x, p) is defined as:

T(x, p) = (T0, T1) = (x0+p0, x1+p1)

During transformation, out-of-bounds input points are returned with zero displacement.

The displacement field is defined using an itkImage, and must be set before use by the user, using SetDisplacementField. The image has the same dimensionality as the input and output spaces, defined by template parameter NDimensions, and is an image of vectors of type OutputVectorType, with dimensionality NDimensions as well.

An interpolator of type VectorInterpolateImageFunction is used with the displacement field image. By default, VectorLinearInterpolateImageFunction is used, and the user can override using SetInterpolator.

The displacement field data is stored using the common OptimizerParameters type in conjunction with the ImageVectorOptimizerParametersHelper class. This allows access of the displacement field image as if it were an itkArray, allowing transparent use with other classes.

Warning:
The SetParameters method will copy the passed parameters, which can be costly since displacement fields are dense and thus potentially very large.

The UpdateTransformParameters method simply adds the provided update array, applying the usual optional scaling factor. Derived classes may provide different behavior.

Because this is a local transform, methods that have a version that takes a point must be used, such as TransformVector, TransformCovariantVector, and TransformDiffusionTensor. Also, ComputeJacobianWithRespectToParameters simply returns an identity matrix (see method documentation), and ComputeJacobianWithRespectToPosition should be used.

Definition at line 87 of file itkDisplacementFieldTransform.h.


Member Typedef Documentation

template<class TScalar , unsigned int NDimensions>
typedef SmartPointer<const Self> itk::DisplacementFieldTransform< TScalar, NDimensions >::ConstPointer
template<class TScalar , unsigned int NDimensions>
typedef Superclass::DerivativeType itk::DisplacementFieldTransform< TScalar, NDimensions >::DerivativeType
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::DirectionType itk::DisplacementFieldTransform< TScalar, NDimensions >::DirectionType
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::Pointer itk::DisplacementFieldTransform< TScalar, NDimensions >::DisplacementFieldPointer
template<class TScalar , unsigned int NDimensions>
typedef Image<OutputVectorType, Dimension> itk::DisplacementFieldTransform< TScalar, NDimensions >::DisplacementFieldType
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::IndexType itk::DisplacementFieldTransform< TScalar, NDimensions >::IndexType

Standard types for the displacement Field

Definition at line 175 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InputCovariantVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::InputCovariantVectorType

Standard covariant vector type for this class

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Definition at line 141 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InputDiffusionTensor3DType itk::DisplacementFieldTransform< TScalar, NDimensions >::InputDiffusionTensor3DType

Standard diffusion tensor type for this class

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Definition at line 151 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InputPointType itk::DisplacementFieldTransform< TScalar, NDimensions >::InputPointType

Standard coordinate point type for this class.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 129 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef CovariantVector<ScalarType, InputDiffusionTensor3DType::Dimension> itk::DisplacementFieldTransform< TScalar, NDimensions >::InputTensorEigenVectorType

Standard tensor type for this class

Definition at line 157 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InputVectorPixelType itk::DisplacementFieldTransform< TScalar, NDimensions >::InputVectorPixelType

Standard variable length vector type for this class this provides an interface for the VectorImage class

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Definition at line 136 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InputVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::InputVectorType

Standard vector type for this class.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 133 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InputVnlVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::InputVnlVectorType

Standard vnl_vector type for this class.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Definition at line 146 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef VectorInterpolateImageFunction<DisplacementFieldType, ScalarType> itk::DisplacementFieldTransform< TScalar, NDimensions >::InterpolatorType

Definition at line 172 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::InverseTransformBasePointer itk::DisplacementFieldTransform< TScalar, NDimensions >::InverseTransformBasePointer
template<class TScalar , unsigned int NDimensions>
typedef Superclass::JacobianType itk::DisplacementFieldTransform< TScalar, NDimensions >::JacobianType
template<class TScalar , unsigned int NDimensions>
typedef Superclass::NumberOfParametersType itk::DisplacementFieldTransform< TScalar, NDimensions >::NumberOfParametersType

The number of parameters defininig this transform.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 126 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef ImageVectorOptimizerParametersHelper< ScalarType, OutputVectorType::Dimension, Dimension> itk::DisplacementFieldTransform< TScalar, NDimensions >::OptimizerParametersHelperType

Define the internal parameter helper used to access the field

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 188 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::OutputCovariantVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputCovariantVectorType
template<class TScalar , unsigned int NDimensions>
typedef Superclass::OutputDiffusionTensor3DType itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputDiffusionTensor3DType
template<class TScalar , unsigned int NDimensions>
typedef Superclass::OutputPointType itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputPointType
template<class TScalar , unsigned int NDimensions>
typedef CovariantVector<ScalarType, OutputDiffusionTensor3DType::Dimension> itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputTensorEigenVectorType

Definition at line 159 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::OutputVectorPixelType itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputVectorPixelType
template<class TScalar , unsigned int NDimensions>
typedef Superclass::OutputVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputVectorType
template<class TScalar , unsigned int NDimensions>
typedef Superclass::OutputVnlVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::OutputVnlVectorType
template<class TScalar , unsigned int NDimensions>
typedef Superclass::ParametersType itk::DisplacementFieldTransform< TScalar, NDimensions >::ParametersType

Type of the input parameters.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 119 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::ParametersValueType itk::DisplacementFieldTransform< TScalar, NDimensions >::ParametersValueType

Type of the input parameters.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 120 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::PixelType itk::DisplacementFieldTransform< TScalar, NDimensions >::PixelType

Definition at line 181 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef SmartPointer<Self> itk::DisplacementFieldTransform< TScalar, NDimensions >::Pointer
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::PointType itk::DisplacementFieldTransform< TScalar, NDimensions >::PointType
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::RegionType itk::DisplacementFieldTransform< TScalar, NDimensions >::RegionType

Definition at line 176 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
typedef Superclass::ScalarType itk::DisplacementFieldTransform< TScalar, NDimensions >::ScalarType
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldTransform itk::DisplacementFieldTransform< TScalar, NDimensions >::Self
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::SizeType itk::DisplacementFieldTransform< TScalar, NDimensions >::SizeType
template<class TScalar , unsigned int NDimensions>
typedef DisplacementFieldType::SpacingType itk::DisplacementFieldTransform< TScalar, NDimensions >::SpacingType
template<class TScalar , unsigned int NDimensions>
typedef Transform<TScalar, NDimensions, NDimensions> itk::DisplacementFieldTransform< TScalar, NDimensions >::Superclass

Constructor & Destructor Documentation

template<class TScalar , unsigned int NDimensions>
itk::DisplacementFieldTransform< TScalar, NDimensions >::DisplacementFieldTransform ( ) [protected]
template<class TScalar , unsigned int NDimensions>
virtual itk::DisplacementFieldTransform< TScalar, NDimensions >::~DisplacementFieldTransform ( ) [protected, virtual]
template<class TScalar , unsigned int NDimensions>
itk::DisplacementFieldTransform< TScalar, NDimensions >::DisplacementFieldTransform ( const Self ) [private]

Create an identity jacobian for use in ComputeJacobianWithRespectToParameters.


Member Function Documentation

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::ComputeInverseJacobianWithRespectToPosition ( const InputPointType x,
JacobianType j 
) const [virtual]

Compute the jacobian with respect to the position, by point. j will be resized as needed.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::ComputeJacobianWithRespectToParameters ( const IndexType ,
JacobianType j 
) const [inline, virtual]

Compute the jacobian with respect to the parameters at an index. Simply returns identity matrix, sized [NDimensions, NDimensions]. See ComputeJacobianWithRespectToParameters( InputPointType, ... ) for rationale.

Definition at line 337 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::ComputeJacobianWithRespectToParameters ( const InputPointType ,
JacobianType j 
) const [inline, virtual]

Compute the jacobian with respect to the parameters at a point. Simply returns identity matrix, sized [NDimensions, NDimensions].

T(x, p), x is the position, p is the local parameter at position x. Take a 2D example, x = (x0, x1), p = (p0, p1) and T(x, p) is defined as:

T(x, p) = (T0, T1) = (x0+p0, x1+p1)

Each local deformation is defined as a translation transform. So the Jacobian w.r.t parameters are

dT/dp = [ dT0/dp0, dT0/dp1; dT1/dp0, dT1/dp1 ];

= [1, 0; 0, 1];

TODO: format the above for doxygen formula.

Definition at line 324 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::ComputeJacobianWithRespectToPosition ( const InputPointType x,
JacobianType j 
) const [virtual]

Compute the jacobian with respect to the position, by point. j will be resized as needed.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::ComputeJacobianWithRespectToPosition ( const IndexType x,
JacobianType j 
) const [virtual]

Compute the jacobian with respect to the position, by index. j will be resized as needed.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::ComputeJacobianWithRespectToPositionInternal ( const IndexType index,
JacobianType jacobian,
bool  doInverseJacobian 
) const [private, virtual]

Internal method for calculating either forward or inverse jacobian, depending on state of doInverseJacobian. Used by public methods ComputeJacobianWithRespectToPosition and GetInverseJacobianOfForwardFieldWithRespectToPosition to perform actual work. doInverseJacobian indicates that the inverse jacobian should be returned

template<class TScalar , unsigned int NDimensions>
virtual::itk::LightObject::Pointer itk::DisplacementFieldTransform< TScalar, NDimensions >::CreateAnother ( void  ) const [inline, virtual]

Leave CreateAnother undefined. To fully implement here, it must be sure to copy all members. It may be called from transform-cloning that only copies parameters, so override here to prevent its use without copying full members.

Reimplemented from itk::Object.

Reimplemented in itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >.

Definition at line 107 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
virtual DisplacementFieldType* itk::DisplacementFieldTransform< TScalar, NDimensions >::GetDisplacementField ( ) [virtual]

Get/Set the displacement field.

template<class TScalar , unsigned int NDimensions>
virtual const unsigned long& itk::DisplacementFieldTransform< TScalar, NDimensions >::GetDisplacementFieldSetTime ( ) [virtual]

Get the modification time of displacement field

template<class TScalar , unsigned int NDimensions>
virtual InterpolatorType* itk::DisplacementFieldTransform< TScalar, NDimensions >::GetInterpolator ( ) [virtual]

Get/Set the interpolator.

template<class TScalar , unsigned int NDimensions>
bool itk::DisplacementFieldTransform< TScalar, NDimensions >::GetInverse ( Self inverse) const

Return an inverse of this transform.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

template<class TScalar , unsigned int NDimensions>
virtual DisplacementFieldType* itk::DisplacementFieldTransform< TScalar, NDimensions >::GetInverseDisplacementField ( ) [virtual]

Get/Set the inverse displacement field.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::GetInverseJacobianOfForwardFieldWithRespectToPosition ( const InputPointType point,
JacobianType jacobian,
bool  useSVD = false 
) const [virtual]

Compute the inverse jacobian of the forward displacement field with respect to the position, by point. Note that this is different than the jacobian of the inverse displacement field. This takes advantage of the ability to compute the inverse jacobian of a displacement field by simply reversing the sign of the forward jacobian. However, a more accurate method for computing the inverse jacobian is to take the inverse of the jacobian matrix. This method is more computationally expensive and may be used by setting useSVD to true

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::GetInverseJacobianOfForwardFieldWithRespectToPosition ( const IndexType index,
JacobianType jacobian,
bool  useSVD = false 
) const [virtual]

Compute the inverse jacobian of the forward displacement field with respect to the position, by index.Note that this is different than the jacobian of the inverse displacement field. This takes advantage of the ability to compute the inverse jacobian of a displacement field by simply reversing the sign of the forward jacobian. However, a more accurate method for computing the inverse jacobian is to take the inverse of the jacobian matrix. This method is more computationally expensive and may be used by setting useSVD to true

template<class TScalar , unsigned int NDimensions>
virtual InverseTransformBasePointer itk::DisplacementFieldTransform< TScalar, NDimensions >::GetInverseTransform ( ) const [virtual]

Return an inverse of this transform.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

template<class TScalar , unsigned int NDimensions>
virtual const char* itk::DisplacementFieldTransform< TScalar, NDimensions >::GetNameOfClass ( ) const [virtual]
template<class TScalar , unsigned int NDimensions>
virtual NumberOfParametersType itk::DisplacementFieldTransform< TScalar, NDimensions >::GetNumberOfLocalParameters ( void  ) const [inline, virtual]

Return the number of local parameters that completely defines the Transform at an individual voxel. For transforms with local support, this will enable downstream computation of the jacobian wrt only the local support region. For instance, in the case of a deformation field, this will be equal to the number of image dimensions. If it is an affine transform, this will be the same as the GetNumberOfParameters().

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 406 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
virtual bool itk::DisplacementFieldTransform< TScalar, NDimensions >::HasLocalSupport ( ) const [inline, virtual]

Indicates if this transform is a "global" transform e.g. an affine transform, or a local one, e.g. a deformation field.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 411 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
virtual bool itk::DisplacementFieldTransform< TScalar, NDimensions >::IsLinear ( ) const [inline, virtual]

This transform is not linear.

Reimplemented from itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 401 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
static Pointer itk::DisplacementFieldTransform< TScalar, NDimensions >::New ( ) [static]
template<class TScalar , unsigned int NDimensions>
void itk::DisplacementFieldTransform< TScalar, NDimensions >::operator= ( const Self ) [private]
template<class TScalar , unsigned int NDimensions>
void itk::DisplacementFieldTransform< TScalar, NDimensions >::PrintSelf ( std::ostream &  os,
Indent  indent 
) const [protected, virtual]

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::Object.

Reimplemented in itk::BSplineSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::GaussianSmoothingOnUpdateDisplacementFieldTransform< TScalar, NDimensions >, itk::GaussianSmoothingOnUpdateTimeVaryingVelocityFieldTransform< TScalar, NDimensions >, and itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::SetDisplacementField ( DisplacementFieldType field) [virtual]

Set the displacement field. Create special set accessor to update interpolator and assign displacement field to transform parameters container.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::SetFixedParameters ( const ParametersType ) [virtual]

This method sets the fixed parameters of the transform. For a displacement field transform, the fixed parameters are the following: field size, field origin, field spacing, and field direction.

Note: If a displacement field already exists, this function creates a new one with zero displacement (identity transform). If an inverse displacement field exists, a new one is also created.

Implements itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::SetFixedParametersFromDisplacementField ( ) const [private, virtual]

Convenience method which reads the information from the current displacement field into m_FixedParameters.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::SetInterpolator ( InterpolatorType interpolator) [virtual]

Get/Set the interpolator.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::SetInverseDisplacementField ( DisplacementFieldType inverseDisplacementField) [virtual]

Get/Set the inverse displacement field.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::SetParameters ( const ParametersType params) [inline, virtual]

Set the transformation parameters. This sets the displacement field image directly.

Implements itk::Transform< TScalar, NDimensions, NDimensions >.

Reimplemented in itk::TimeVaryingVelocityFieldTransform< TScalar, NDimensions >.

Definition at line 275 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro, and itk::Array< TValueType >::Size().

template<class TScalar , unsigned int NDimensions>
virtual OutputCovariantVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformCovariantVector ( const InputCovariantVectorType ) const [inline, virtual]

Definition at line 258 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
virtual OutputVectorPixelType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformCovariantVector ( const InputVectorPixelType ) const [inline, virtual]

Definition at line 266 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
OutputDiffusionTensor3DType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformDiffusionTensor ( const InputDiffusionTensor3DType ) const [inline]

Definition at line 241 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
OutputVectorPixelType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformDiffusionTensor ( const InputVectorPixelType ) const [inline]

Definition at line 249 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
virtual OutputPointType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformPoint ( const InputPointType thisPoint) const [virtual]

Method to transform a point. Out-of-bounds points will be returned with zero displacemnt.

template<class TScalar , unsigned int NDimensions>
virtual OutputVectorPixelType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformVector ( const InputVectorPixelType ) const [inline, virtual]

Definition at line 226 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
virtual OutputVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformVector ( const InputVectorType ) const [inline, virtual]

Definition at line 219 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
virtual OutputVnlVectorType itk::DisplacementFieldTransform< TScalar, NDimensions >::TransformVector ( const InputVnlVectorType ) const [inline, virtual]

Definition at line 233 of file itkDisplacementFieldTransform.h.

References itkExceptionMacro.

template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::UpdateTransformParameters ( DerivativeType update,
ScalarType  factor = 1.0 
) [virtual]
template<class TScalar , unsigned int NDimensions>
virtual void itk::DisplacementFieldTransform< TScalar, NDimensions >::VerifyFixedParametersInformation ( ) [private, virtual]

Internal method to check that the inverse and forward displacement fields have the same fixed parameters.


Member Data Documentation

template<class TScalar , unsigned int NDimensions>
const unsigned int itk::DisplacementFieldTransform< TScalar, NDimensions >::Dimension = NDimensions [static]
template<class TScalar , unsigned int NDimensions>
DisplacementFieldType::Pointer itk::DisplacementFieldTransform< TScalar, NDimensions >::m_DisplacementField [protected]

The displacement field and its inverse (if it exists).

Definition at line 421 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
unsigned long itk::DisplacementFieldTransform< TScalar, NDimensions >::m_DisplacementFieldSetTime [protected]

Track when the displacement field was last set/assigned, as distinct from when it may have had its contents modified.

Definition at line 429 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
JacobianType itk::DisplacementFieldTransform< TScalar, NDimensions >::m_IdentityJacobian [protected]

Create an identity jacobian for use in ComputeJacobianWithRespectToParameters.

Definition at line 433 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
InterpolatorType::Pointer itk::DisplacementFieldTransform< TScalar, NDimensions >::m_Interpolator [protected]

The interpolator.

Definition at line 425 of file itkDisplacementFieldTransform.h.

template<class TScalar , unsigned int NDimensions>
DisplacementFieldType::Pointer itk::DisplacementFieldTransform< TScalar, NDimensions >::m_InverseDisplacementField [protected]

Definition at line 422 of file itkDisplacementFieldTransform.h.


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