template<typename TParametersValueType, unsigned int NDimensions>
class itk::TimeVaryingVelocityFieldTransform< TParametersValueType, NDimensions >
Transform objects based on integration of a time-varying velocity field.
Diffeomorphisms are topology-preserving mappings that are useful for describing biologically plausible deformations. Mathematically, a diffeomorphism,
, is generated from a time-varying velocity field, v, as described by the first-order differential equation:
In this class, the input is the time-varying velocity field. The output diffeomorphism is produced using fourth order Runge-Kutta.
- Warning
- The output deformation field needs to have dimensionality of 1 less than the input time-varying velocity field. It is assumed that the last dimension of the time-varying velocity field corresponds to Time, and the other dimensions represent Space.
- Author
- Nick Tustison
-
Brian Avants
Definition at line 54 of file itkTimeVaryingVelocityFieldTransform.h.
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef Superclass::DerivativeType | DerivativeType |
|
typedef
Superclass::DisplacementFieldType | DisplacementFieldType |
|
typedef
Superclass::FixedParametersType | FixedParametersType |
|
typedef
FixedParametersType::ValueType | FixedParametersValueType |
|
typedef
Superclass::InterpolatorType | InterpolatorType |
|
typedef
Superclass::InverseTransformBasePointer | InverseTransformBasePointer |
|
typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
|
typedef Superclass::ParametersType | ParametersType |
|
typedef ParametersType::ValueType | ParametersValueType |
|
typedef SmartPointer< Self > | Pointer |
|
typedef Superclass::ScalarType | ScalarType |
|
typedef
TimeVaryingVelocityFieldTransform | Self |
|
typedef VelocityFieldTransform
< TParametersValueType,
NDimensions > | Superclass |
|
typedef VelocityFieldType::Pointer | TimeVaryingVelocityFieldPointer |
|
typedef VelocityFieldType | TimeVaryingVelocityFieldType |
|
typedef Transform
< TParametersValueType,
NDimensions, NDimensions >
::Pointer | TransformPointer |
|
typedef
Superclass::VelocityFieldInterpolatorType | VelocityFieldIntegratorType |
|
typedef
Superclass::VelocityFieldType | VelocityFieldType |
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef Superclass::DerivativeType | DerivativeType |
|
typedef
VelocityFieldType::DirectionType | DirectionType |
|
typedef
DisplacementFieldType::Pointer | DisplacementFieldPointer |
|
typedef
Superclass::DisplacementFieldType | DisplacementFieldType |
|
typedef
Superclass::FixedParametersType | FixedParametersType |
|
typedef
Superclass::FixedParametersValueType | FixedParametersValueType |
|
typedef
VelocityFieldType::IndexType | IndexType |
|
typedef Superclass::InputPointType | InputPointType |
|
typedef
Superclass::InputVectorPixelType | InputVectorPixelType |
|
typedef Superclass::InputVectorType | InputVectorType |
|
typedef
Superclass::InverseTransformBasePointer | InverseTransformBasePointer |
|
typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
|
typedef
ImageVectorOptimizerParametersHelper
< ScalarType, Dimension,
VelocityFieldDimension > | OptimizerParametersHelperType |
|
typedef Superclass::OutputPointType | OutputPointType |
|
typedef
Superclass::OutputVectorPixelType | OutputVectorPixelType |
|
typedef
Superclass::OutputVectorType | OutputVectorType |
|
typedef Superclass::ParametersType | ParametersType |
|
typedef
Superclass::ParametersValueType | ParametersValueType |
|
typedef
VelocityFieldType::PixelType | PixelType |
|
typedef SmartPointer< Self > | Pointer |
|
typedef
VelocityFieldType::PointType | PointType |
|
typedef
VelocityFieldType::RegionType | RegionType |
|
typedef Superclass::ScalarType | ScalarType |
|
typedef VelocityFieldTransform | Self |
|
typedef VelocityFieldType::SizeType | SizeType |
|
typedef
VelocityFieldType::SpacingType | SpacingType |
|
typedef
DisplacementFieldTransform
< TParametersValueType,
NDimensions > | Superclass |
|
typedef
Superclass::TransformCategoryType | TransformCategoryType |
|
typedef
VelocityFieldInterpolatorType::Pointer | VelocityFieldInterpolatorPointer |
|
typedef
VectorInterpolateImageFunction
< VelocityFieldType,
ScalarType > | VelocityFieldInterpolatorType |
|
typedef VelocityFieldType::Pointer | VelocityFieldPointer |
|
typedef Image
< OutputVectorType,
VelocityFieldDimension > | VelocityFieldType |
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef Superclass::DerivativeType | DerivativeType |
|
typedef
DisplacementFieldType::DirectionType | DirectionType |
|
typedef
DisplacementFieldType::ConstPointer | DisplacementFieldConstPointer |
|
typedef
DisplacementFieldType::Pointer | DisplacementFieldPointer |
|
typedef Image
< OutputVectorType, Dimension > | DisplacementFieldType |
|
typedef
Superclass::FixedParametersType | FixedParametersType |
|
typedef
Superclass::FixedParametersValueType | FixedParametersValueType |
|
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< Self > | Pointer |
|
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
< TParametersValueType,
NDimensions, NDimensions > | Superclass |
|
typedef
Superclass::TransformCategoryType | TransformCategoryType |
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef Array
< ParametersValueType > | DerivativeType |
|
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> | DirectionChangeMatrix |
|
typedef
Superclass::FixedParametersType | FixedParametersType |
|
typedef
Superclass::FixedParametersValueType | FixedParametersValueType |
|
typedef CovariantVector
< TParametersValueType,
NInputDimensions > | InputCovariantVectorType |
|
typedef DiffusionTensor3D
< TParametersValueType > | InputDiffusionTensor3DType |
|
typedef Matrix< double,
itkGetStaticConstMacro(InputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> | InputDirectionMatrix |
|
typedef Point
< TParametersValueType,
NInputDimensions > | InputPointType |
|
typedef
SymmetricSecondRankTensor
< TParametersValueType,
NInputDimensions > | InputSymmetricSecondRankTensorType |
|
typedef VariableLengthVector
< TParametersValueType > | InputVectorPixelType |
|
typedef Vector
< TParametersValueType,
NInputDimensions > | InputVectorType |
|
typedef vnl_vector_fixed
< TParametersValueType,
NInputDimensions > | InputVnlVectorType |
|
typedef
InverseTransformBaseType::Pointer | InverseTransformBasePointer |
|
typedef Transform
< TParametersValueType,
NOutputDimensions,
NInputDimensions > | InverseTransformBaseType |
|
typedef Array2D
< ParametersValueType > | JacobianType |
|
typedef Matrix
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
|
typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
|
typedef CovariantVector
< TParametersValueType,
NOutputDimensions > | OutputCovariantVectorType |
|
typedef DiffusionTensor3D
< TParametersValueType > | OutputDiffusionTensor3DType |
|
typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(OutputSpaceDimension)> | OutputDirectionMatrix |
|
typedef Point
< TParametersValueType,
NOutputDimensions > | OutputPointType |
|
typedef
SymmetricSecondRankTensor
< TParametersValueType,
NOutputDimensions > | OutputSymmetricSecondRankTensorType |
|
typedef VariableLengthVector
< TParametersValueType > | OutputVectorPixelType |
|
typedef Vector
< TParametersValueType,
NOutputDimensions > | OutputVectorType |
|
typedef vnl_vector_fixed
< TParametersValueType,
NOutputDimensions > | OutputVnlVectorType |
|
typedef Superclass::ParametersType | ParametersType |
|
typedef
Superclass::ParametersValueType | ParametersValueType |
|
typedef SmartPointer< Self > | Pointer |
|
typedef ParametersValueType | ScalarType |
|
typedef Transform | Self |
|
typedef TransformBaseTemplate
< TParametersValueType > | Superclass |
|
typedef
Superclass::TransformCategoryType | TransformCategoryType |
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef OptimizerParameters
< FixedParametersValueType > | FixedParametersType |
|
typedef double | FixedParametersValueType |
|
typedef IdentifierType | NumberOfParametersType |
|
typedef OptimizerParameters
< ParametersValueType > | ParametersType |
|
typedef TParametersValueType | ParametersValueType |
|
typedef SmartPointer< Self > | Pointer |
|
typedef TransformBaseTemplate | Self |
|
typedef Object | Superclass |
|
enum | TransformCategoryType {
UnknownTransformCategory =0,
Linear =1,
BSpline =2,
Spline =3,
DisplacementField =4,
VelocityField =5
} |
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef SmartPointer< Self > | Pointer |
|
typedef Object | Self |
|
typedef LightObject | Superclass |
|
typedef SmartPointer< const Self > | ConstPointer |
|
typedef SmartPointer< Self > | Pointer |
|
typedef LightObject | Self |
|
|
virtual ::itk::LightObject::Pointer | CreateAnother () const |
|
virtual const char * | GetNameOfClass () const |
|
virtual void | IntegrateVelocityField () override |
|
virtual void | SetTimeVaryingVelocityField (VelocityFieldType *field) |
|
|
VelocityFieldType * | GetTimeVaryingVelocityField () |
|
VelocityFieldType * | GetModifiableTimeVaryingVelocityField () |
|
const VelocityFieldType * | GetTimeVaryingVelocityField () const |
|
virtual ::itk::LightObject::Pointer | CreateAnother () const |
|
bool | GetInverse (Self *inverse) const |
|
virtual InverseTransformBasePointer | GetInverseTransform () const override |
|
virtual ScalarType | GetLowerTimeBound () const |
|
virtual unsigned int | GetNumberOfIntegrationSteps () const |
|
virtual ScalarType | GetUpperTimeBound () const |
|
virtual const unsigned long & | GetVelocityFieldSetTime () const |
|
virtual void | SetFixedParameters (const FixedParametersType &) override |
|
virtual void | SetLowerTimeBound (ScalarType _arg) |
|
virtual void | SetNumberOfIntegrationSteps (unsigned int _arg) |
|
virtual void | SetUpperTimeBound (ScalarType _arg) |
|
virtual void | UpdateTransformParameters (const DerivativeType &update, ScalarType factor=1.0) override |
|
virtual void | SetVelocityField (VelocityFieldType *) |
|
virtual VelocityFieldType * | GetModifiableVelocityField () |
|
virtual const VelocityFieldType * | GetVelocityField () const |
|
virtual void | SetVelocityFieldInterpolator (VelocityFieldInterpolatorType *) |
|
virtual
VelocityFieldInterpolatorType * | GetModifiableVelocityFieldInterpolator () |
|
virtual const
VelocityFieldInterpolatorType * | GetVelocityFieldInterpolator () const |
|
virtual void | SetDisplacementField (DisplacementFieldType *displacementField) override |
|
virtual void | ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const override |
|
virtual void | ComputeJacobianWithRespectToParameters (const IndexType &, JacobianType &j) const |
|
virtual void | ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const override |
|
virtual void | ComputeJacobianWithRespectToPosition (const IndexType &x, JacobianType &j) const |
|
virtual const ModifiedTimeType & | GetDisplacementFieldSetTime () const |
|
bool | GetInverse (Self *inverse) const |
|
virtual void | GetInverseJacobianOfForwardFieldWithRespectToPosition (const InputPointType &point, JacobianType &jacobian, bool useSVD=false) const |
|
virtual void | GetInverseJacobianOfForwardFieldWithRespectToPosition (const IndexType &index, JacobianType &jacobian, bool useSVD=false) const |
|
virtual NumberOfParametersType | GetNumberOfLocalParameters (void) const override |
|
virtual TransformCategoryType | GetTransformCategory () const override |
|
virtual void | SetIdentity () |
|
virtual OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &) const override |
|
OutputVectorPixelType | TransformDiffusionTensor (const InputVectorPixelType &) const |
|
virtual OutputPointType | TransformPoint (const InputPointType &thisPoint) const override |
|
virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &) const override |
|
virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &) const override |
|
virtual DisplacementFieldType * | GetModifiableDisplacementField () |
|
virtual const
DisplacementFieldType * | GetDisplacementField () const |
|
virtual void | SetInverseDisplacementField (DisplacementFieldType *inverseDisplacementField) |
|
virtual DisplacementFieldType * | GetModifiableInverseDisplacementField () |
|
virtual const
DisplacementFieldType * | GetInverseDisplacementField () const |
|
virtual void | SetInterpolator (InterpolatorType *interpolator) |
|
virtual InterpolatorType * | GetModifiableInterpolator () |
|
virtual const InterpolatorType * | GetInterpolator () const |
|
virtual void | SetInverseInterpolator (InterpolatorType *interpolator) |
|
virtual InterpolatorType * | GetModifiableInverseInterpolator () |
|
virtual const InterpolatorType * | GetInverseInterpolator () const |
|
virtual OutputVectorType | TransformVector (const InputVectorType &) const override |
|
OutputDiffusionTensor3DType | TransformDiffusionTensor (const InputDiffusionTensor3DType &) const |
|
virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &) const override |
|
virtual void | SetParameters (const ParametersType ¶ms) override |
|
virtual void | ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &j) const override |
|
virtual void | SetCoordinateTolerance (double _arg) |
|
virtual double | GetCoordinateTolerance () const |
|
virtual void | SetDirectionTolerance (double _arg) |
|
virtual double | GetDirectionTolerance () const |
|
virtual void | ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const |
|
virtual void | ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0 |
|
virtual void | ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const |
|
virtual void | ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const |
|
virtual void | CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override |
|
virtual void | CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override |
|
virtual const FixedParametersType & | GetFixedParameters (void) const override |
|
unsigned int | GetInputSpaceDimension (void) const override |
|
bool | GetInverse (Self *) const |
|
virtual NumberOfParametersType | GetNumberOfFixedParameters () const |
|
virtual NumberOfParametersType | GetNumberOfParameters (void) const override |
|
unsigned int | GetOutputSpaceDimension (void) const override |
|
virtual const ParametersType & | GetParameters (void) const override |
|
virtual std::string | GetTransformTypeAsString () const override |
|
virtual bool | IsLinear () const |
|
| itkCloneMacro (Self) |
|
virtual void | SetParametersByValue (const ParametersType &p) override |
|
virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &) const |
|
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 OutputPointType | TransformPoint (const InputPointType &) const =0 |
|
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 &) 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, ParametersValueType factor=1.0) |
|
unsigned long | AddObserver (const EventObject &event, Command *) |
|
unsigned long | AddObserver (const EventObject &event, Command *) const |
|
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 |
|
virtual const TimeStamp & | GetTimeStamp () const |
|
bool | HasObserver (const EventObject &event) const |
|
void | InvokeEvent (const EventObject &) |
|
void | InvokeEvent (const EventObject &) const |
|
virtual void | Modified () const |
|
virtual void | Register () const override |
|
void | RemoveAllObservers () |
|
void | RemoveObserver (unsigned long tag) |
|
void | SetDebug (bool debugFlag) const |
|
void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
|
virtual void | SetReferenceCount (int) override |
|
virtual void | UnRegister () const noexceptoverride |
|
virtual void | SetObjectName (std::string _arg) |
|
virtual const std::string & | GetObjectName () const |
|
virtual void | Delete () |
|
virtual int | GetReferenceCount () const |
|
| itkCloneMacro (Self) |
|
void | Print (std::ostream &os, Indent indent=0) const |
|