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.
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef
Superclass::DisplacementFieldType | DisplacementFieldType |
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typedef
Superclass::FixedParametersType | FixedParametersType |
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typedef
FixedParametersType::ValueType | FixedParametersValueType |
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typedef
Superclass::InterpolatorType | InterpolatorType |
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typedef
Superclass::InverseTransformBasePointer | InverseTransformBasePointer |
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typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef Superclass::ParametersType | ParametersType |
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typedef ParametersType::ValueType | ParametersValueType |
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typedef SmartPointer< Self > | Pointer |
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typedef Superclass::ScalarType | ScalarType |
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typedef
TimeVaryingVelocityFieldTransform | Self |
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typedef VelocityFieldTransform
< TParametersValueType,
NDimensions > | Superclass |
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typedef VelocityFieldType::Pointer | TimeVaryingVelocityFieldPointer |
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typedef VelocityFieldType | TimeVaryingVelocityFieldType |
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typedef Transform
< TParametersValueType,
NDimensions, NDimensions >
::Pointer | TransformPointer |
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typedef
Superclass::VelocityFieldInterpolatorType | VelocityFieldIntegratorType |
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typedef
Superclass::VelocityFieldType | VelocityFieldType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef
VelocityFieldType::DirectionType | DirectionType |
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typedef
DisplacementFieldType::Pointer | DisplacementFieldPointer |
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typedef
Superclass::DisplacementFieldType | DisplacementFieldType |
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typedef
Superclass::FixedParametersType | FixedParametersType |
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typedef
Superclass::FixedParametersValueType | FixedParametersValueType |
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typedef
VelocityFieldType::IndexType | IndexType |
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typedef Superclass::InputPointType | InputPointType |
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typedef
Superclass::InputVectorPixelType | InputVectorPixelType |
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typedef Superclass::InputVectorType | InputVectorType |
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typedef
Superclass::InverseTransformBasePointer | InverseTransformBasePointer |
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typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef
ImageVectorOptimizerParametersHelper
< ScalarType, Dimension,
VelocityFieldDimension > | OptimizerParametersHelperType |
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typedef Superclass::OutputPointType | OutputPointType |
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typedef
Superclass::OutputVectorPixelType | OutputVectorPixelType |
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typedef
Superclass::OutputVectorType | OutputVectorType |
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typedef Superclass::ParametersType | ParametersType |
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typedef
Superclass::ParametersValueType | ParametersValueType |
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typedef
VelocityFieldType::PixelType | PixelType |
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typedef SmartPointer< Self > | Pointer |
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typedef
VelocityFieldType::PointType | PointType |
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typedef
VelocityFieldType::RegionType | RegionType |
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typedef Superclass::ScalarType | ScalarType |
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typedef VelocityFieldTransform | Self |
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typedef VelocityFieldType::SizeType | SizeType |
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typedef
VelocityFieldType::SpacingType | SpacingType |
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typedef
DisplacementFieldTransform
< TParametersValueType,
NDimensions > | Superclass |
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typedef
Superclass::TransformCategoryType | TransformCategoryType |
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typedef
VelocityFieldInterpolatorType::Pointer | VelocityFieldInterpolatorPointer |
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typedef
VectorInterpolateImageFunction
< VelocityFieldType,
ScalarType > | VelocityFieldInterpolatorType |
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typedef VelocityFieldType::Pointer | VelocityFieldPointer |
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typedef Image
< OutputVectorType,
VelocityFieldDimension > | VelocityFieldType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Superclass::DerivativeType | DerivativeType |
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typedef
DisplacementFieldType::DirectionType | DirectionType |
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typedef
DisplacementFieldType::ConstPointer | DisplacementFieldConstPointer |
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typedef
DisplacementFieldType::Pointer | DisplacementFieldPointer |
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typedef Image
< OutputVectorType, Dimension > | DisplacementFieldType |
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typedef
Superclass::FixedParametersType | FixedParametersType |
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typedef
Superclass::FixedParametersValueType | FixedParametersValueType |
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typedef
DisplacementFieldType::IndexType | IndexType |
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typedef
Superclass::InputCovariantVectorType | InputCovariantVectorType |
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typedef
Superclass::InputDiffusionTensor3DType | InputDiffusionTensor3DType |
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typedef Superclass::InputPointType | InputPointType |
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typedef CovariantVector
< ScalarType,
InputDiffusionTensor3DType::Dimension > | InputTensorEigenVectorType |
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typedef
Superclass::InputVectorPixelType | InputVectorPixelType |
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typedef Superclass::InputVectorType | InputVectorType |
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typedef
Superclass::InputVnlVectorType | InputVnlVectorType |
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typedef
VectorInterpolateImageFunction
< DisplacementFieldType,
ScalarType > | InterpolatorType |
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typedef
Superclass::InverseTransformBasePointer | InverseTransformBasePointer |
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typedef Superclass::JacobianType | JacobianType |
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typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef
ImageVectorOptimizerParametersHelper
< ScalarType,
OutputVectorType::Dimension,
Dimension > | OptimizerParametersHelperType |
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typedef
Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
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typedef
Superclass::OutputDiffusionTensor3DType | OutputDiffusionTensor3DType |
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typedef Superclass::OutputPointType | OutputPointType |
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typedef CovariantVector
< ScalarType,
OutputDiffusionTensor3DType::Dimension > | OutputTensorEigenVectorType |
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typedef
Superclass::OutputVectorPixelType | OutputVectorPixelType |
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typedef
Superclass::OutputVectorType | OutputVectorType |
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typedef
Superclass::OutputVnlVectorType | OutputVnlVectorType |
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typedef Superclass::ParametersType | ParametersType |
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typedef
Superclass::ParametersValueType | ParametersValueType |
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typedef
DisplacementFieldType::PixelType | PixelType |
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typedef SmartPointer< Self > | Pointer |
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typedef
DisplacementFieldType::PointType | PointType |
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typedef
DisplacementFieldType::RegionType | RegionType |
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typedef Superclass::ScalarType | ScalarType |
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typedef DisplacementFieldTransform | Self |
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typedef
DisplacementFieldType::SizeType | SizeType |
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typedef
DisplacementFieldType::SpacingType | SpacingType |
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typedef Transform
< TParametersValueType,
NDimensions, NDimensions > | Superclass |
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typedef
Superclass::TransformCategoryType | TransformCategoryType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef Array
< ParametersValueType > | DerivativeType |
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typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> | DirectionChangeMatrix |
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typedef
Superclass::FixedParametersType | FixedParametersType |
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typedef
Superclass::FixedParametersValueType | FixedParametersValueType |
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typedef CovariantVector
< TParametersValueType,
NInputDimensions > | InputCovariantVectorType |
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typedef DiffusionTensor3D
< TParametersValueType > | InputDiffusionTensor3DType |
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typedef Matrix< double,
itkGetStaticConstMacro(InputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> | InputDirectionMatrix |
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typedef Point
< TParametersValueType,
NInputDimensions > | InputPointType |
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typedef
SymmetricSecondRankTensor
< TParametersValueType,
NInputDimensions > | InputSymmetricSecondRankTensorType |
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typedef VariableLengthVector
< TParametersValueType > | InputVectorPixelType |
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typedef Vector
< TParametersValueType,
NInputDimensions > | InputVectorType |
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typedef vnl_vector_fixed
< TParametersValueType,
NInputDimensions > | InputVnlVectorType |
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typedef
InverseTransformBaseType::Pointer | InverseTransformBasePointer |
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typedef Transform
< TParametersValueType,
NOutputDimensions,
NInputDimensions > | InverseTransformBaseType |
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typedef Array2D
< ParametersValueType > | JacobianType |
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typedef Matrix
< TParametersValueType,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
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typedef
Superclass::NumberOfParametersType | NumberOfParametersType |
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typedef CovariantVector
< TParametersValueType,
NOutputDimensions > | OutputCovariantVectorType |
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typedef DiffusionTensor3D
< TParametersValueType > | OutputDiffusionTensor3DType |
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typedef Matrix< double,
itkGetStaticConstMacro(OutputSpaceDimension),
itkGetStaticConstMacro(OutputSpaceDimension)> | OutputDirectionMatrix |
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typedef Point
< TParametersValueType,
NOutputDimensions > | OutputPointType |
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typedef
SymmetricSecondRankTensor
< TParametersValueType,
NOutputDimensions > | OutputSymmetricSecondRankTensorType |
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typedef VariableLengthVector
< TParametersValueType > | OutputVectorPixelType |
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typedef Vector
< TParametersValueType,
NOutputDimensions > | OutputVectorType |
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typedef vnl_vector_fixed
< TParametersValueType,
NOutputDimensions > | OutputVnlVectorType |
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typedef Superclass::ParametersType | ParametersType |
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typedef
Superclass::ParametersValueType | ParametersValueType |
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typedef SmartPointer< Self > | Pointer |
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typedef ParametersValueType | ScalarType |
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typedef Transform | Self |
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typedef TransformBaseTemplate
< TParametersValueType > | Superclass |
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typedef
Superclass::TransformCategoryType | TransformCategoryType |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef OptimizerParameters
< FixedParametersValueType > | FixedParametersType |
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typedef double | FixedParametersValueType |
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typedef IdentifierType | NumberOfParametersType |
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typedef OptimizerParameters
< ParametersValueType > | ParametersType |
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typedef TParametersValueType | ParametersValueType |
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typedef SmartPointer< Self > | Pointer |
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typedef TransformBaseTemplate | Self |
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typedef Object | Superclass |
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enum | TransformCategoryType {
UnknownTransformCategory =0,
Linear =1,
BSpline =2,
Spline =3,
DisplacementField =4,
VelocityField =5
} |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef SmartPointer< Self > | Pointer |
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typedef Object | Self |
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typedef LightObject | Superclass |
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typedef SmartPointer< const Self > | ConstPointer |
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typedef SmartPointer< Self > | Pointer |
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typedef LightObject | Self |
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virtual ::itk::LightObject::Pointer | CreateAnother () const |
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virtual const char * | GetNameOfClass () const |
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virtual void | IntegrateVelocityField () override |
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virtual void | SetTimeVaryingVelocityField (VelocityFieldType *field) |
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VelocityFieldType * | GetTimeVaryingVelocityField () |
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VelocityFieldType * | GetModifiableTimeVaryingVelocityField () |
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const VelocityFieldType * | GetTimeVaryingVelocityField () const |
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virtual ::itk::LightObject::Pointer | CreateAnother () const |
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bool | GetInverse (Self *inverse) const |
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virtual InverseTransformBasePointer | GetInverseTransform () const override |
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virtual ScalarType | GetLowerTimeBound () const |
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virtual unsigned int | GetNumberOfIntegrationSteps () const |
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virtual ScalarType | GetUpperTimeBound () const |
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virtual const unsigned long & | GetVelocityFieldSetTime () const |
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virtual void | SetFixedParameters (const FixedParametersType &) override |
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virtual void | SetLowerTimeBound (ScalarType _arg) |
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virtual void | SetNumberOfIntegrationSteps (unsigned int _arg) |
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virtual void | SetUpperTimeBound (ScalarType _arg) |
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virtual void | UpdateTransformParameters (const DerivativeType &update, ScalarType factor=1.0) override |
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virtual void | SetVelocityField (VelocityFieldType *) |
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virtual VelocityFieldType * | GetModifiableVelocityField () |
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virtual const VelocityFieldType * | GetVelocityField () const |
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virtual void | SetVelocityFieldInterpolator (VelocityFieldInterpolatorType *) |
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virtual
VelocityFieldInterpolatorType * | GetModifiableVelocityFieldInterpolator () |
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virtual const
VelocityFieldInterpolatorType * | GetVelocityFieldInterpolator () const |
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virtual void | SetDisplacementField (DisplacementFieldType *displacementField) override |
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virtual void | ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const override |
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virtual void | ComputeJacobianWithRespectToParameters (const IndexType &, JacobianType &j) const |
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virtual void | ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianType &j) const override |
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virtual void | ComputeJacobianWithRespectToPosition (const IndexType &x, JacobianType &j) const |
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virtual const ModifiedTimeType & | GetDisplacementFieldSetTime () const |
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bool | GetInverse (Self *inverse) const |
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virtual void | GetInverseJacobianOfForwardFieldWithRespectToPosition (const InputPointType &point, JacobianType &jacobian, bool useSVD=false) const |
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virtual void | GetInverseJacobianOfForwardFieldWithRespectToPosition (const IndexType &index, JacobianType &jacobian, bool useSVD=false) const |
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virtual NumberOfParametersType | GetNumberOfLocalParameters (void) const override |
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virtual TransformCategoryType | GetTransformCategory () const override |
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virtual void | SetIdentity () |
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virtual OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &) const override |
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OutputVectorPixelType | TransformDiffusionTensor (const InputVectorPixelType &) const |
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virtual OutputPointType | TransformPoint (const InputPointType &thisPoint) const override |
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virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &) const override |
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virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &) const override |
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virtual DisplacementFieldType * | GetModifiableDisplacementField () |
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virtual const
DisplacementFieldType * | GetDisplacementField () const |
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virtual void | SetInverseDisplacementField (DisplacementFieldType *inverseDisplacementField) |
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virtual DisplacementFieldType * | GetModifiableInverseDisplacementField () |
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virtual const
DisplacementFieldType * | GetInverseDisplacementField () const |
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virtual void | SetInterpolator (InterpolatorType *interpolator) |
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virtual InterpolatorType * | GetModifiableInterpolator () |
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virtual const InterpolatorType * | GetInterpolator () const |
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virtual void | SetInverseInterpolator (InterpolatorType *interpolator) |
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virtual InterpolatorType * | GetModifiableInverseInterpolator () |
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virtual const InterpolatorType * | GetInverseInterpolator () const |
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virtual OutputVectorType | TransformVector (const InputVectorType &) const override |
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OutputDiffusionTensor3DType | TransformDiffusionTensor (const InputDiffusionTensor3DType &) const |
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virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &) const override |
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virtual void | SetParameters (const ParametersType ¶ms) override |
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virtual void | ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &j) const override |
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virtual void | SetCoordinateTolerance (double _arg) |
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virtual double | GetCoordinateTolerance () const |
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virtual void | SetDirectionTolerance (double _arg) |
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virtual double | GetDirectionTolerance () const |
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virtual void | ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, JacobianType &jacobian) const |
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virtual void | ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const =0 |
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virtual void | ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const |
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virtual void | ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianType &) const |
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virtual void | CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override |
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virtual void | CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override |
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virtual const FixedParametersType & | GetFixedParameters (void) const override |
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unsigned int | GetInputSpaceDimension (void) const override |
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bool | GetInverse (Self *) const |
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virtual NumberOfParametersType | GetNumberOfFixedParameters () const |
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virtual NumberOfParametersType | GetNumberOfParameters (void) const override |
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unsigned int | GetOutputSpaceDimension (void) const override |
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virtual const ParametersType & | GetParameters (void) const override |
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virtual std::string | GetTransformTypeAsString () const override |
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virtual bool | IsLinear () const |
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| itkCloneMacro (Self) |
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virtual void | SetParametersByValue (const ParametersType &p) override |
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virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &) const |
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virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const |
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virtual OutputDiffusionTensor3DType | TransformDiffusionTensor3D (const InputDiffusionTensor3DType &) const |
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virtual OutputDiffusionTensor3DType | TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const |
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virtual OutputPointType | TransformPoint (const InputPointType &) const =0 |
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virtual
OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const |
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virtual
OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const |
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virtual OutputVectorType | TransformVector (const InputVectorType &) const |
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virtual OutputVectorType | TransformVector (const InputVectorType &vector, const InputPointType &point) const |
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virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &) const |
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virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const |
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virtual void | UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0) |
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unsigned long | AddObserver (const EventObject &event, Command *) |
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unsigned long | AddObserver (const EventObject &event, Command *) const |
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virtual void | DebugOff () const |
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virtual void | DebugOn () const |
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Command * | GetCommand (unsigned long tag) |
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bool | GetDebug () const |
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MetaDataDictionary & | GetMetaDataDictionary () |
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const MetaDataDictionary & | GetMetaDataDictionary () const |
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virtual ModifiedTimeType | GetMTime () const |
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virtual const TimeStamp & | GetTimeStamp () const |
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bool | HasObserver (const EventObject &event) const |
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void | InvokeEvent (const EventObject &) |
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void | InvokeEvent (const EventObject &) const |
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virtual void | Modified () const |
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virtual void | Register () const override |
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void | RemoveAllObservers () |
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void | RemoveObserver (unsigned long tag) |
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void | SetDebug (bool debugFlag) const |
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void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
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virtual void | SetReferenceCount (int) override |
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virtual void | UnRegister () const noexceptoverride |
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virtual void | SetObjectName (std::string _arg) |
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virtual const std::string & | GetObjectName () const |
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virtual void | Delete () |
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virtual int | GetReferenceCount () const |
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| itkCloneMacro (Self) |
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void | Print (std::ostream &os, Indent indent=0) const |
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