template<typename TParametersValueType = double>
class itk::Similarity3DTransform< TParametersValueType >
Similarity3DTransform of a vector space (e.g. space coordinates)
This transform applies a rotation, translation and isotropic scaling to the space.
The parameters for this transform can be set either using individual Set methods or in serialized form using SetParameters() and SetFixedParameters().
The serialization of the optimizable parameters is an array of 7 elements. The first 3 elements are the components of the versor representation of 3D rotation. The next 3 parameters defines the translation in each dimension. The last parameter defines the isotropic scaling.
The serialization of the fixed parameters is an array of 3 elements defining the center of rotation.
- See also
- VersorRigid3DTransform
Definition at line 47 of file itkSimilarity3DTransform.h.
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using | ConstPointer = SmartPointer< const Self > |
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using | Pointer = SmartPointer< Self > |
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using | ScaleType = TParametersValueType |
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using | Self = Similarity3DTransform |
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using | Superclass = VersorRigid3DTransform< TParametersValueType > |
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using | AngleType = typename VersorType::ValueType |
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using | AxisType = typename VersorType::VectorType |
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using | AxisValueType = typename AxisType::ValueType |
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using | ConstPointer = SmartPointer< const Self > |
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using | DerivativeType = Array< ParametersValueType > |
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using | ParametersValueType = typename ParametersType::ValueType |
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using | Pointer = SmartPointer< Self > |
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using | Self = VersorRigid3DTransform |
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using | Superclass = VersorTransform< double > |
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using | VectorType = typename VersorType::VectorType |
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using | VersorType = Versor< double > |
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using | AngleType = typename VersorType::ValueType |
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using | AxisType = typename VersorType::VectorType |
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using | AxisValueType = typename AxisType::ValueType |
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using | CenterType = InputPointType |
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using | ConstPointer = SmartPointer< const Self > |
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using | InputCovariantVectorType = CovariantVector< double, Self::InputSpaceDimension > |
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using | InputPointType = Point< double, Self::InputSpaceDimension > |
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using | InputVectorType = Vector< double, Self::InputSpaceDimension > |
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using | InputVnlVectorType = vnl_vector_fixed< double, Self::InputSpaceDimension > |
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using | InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension > |
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using | InverseMatrixType = Matrix< double, Self::InputSpaceDimension, Self::OutputSpaceDimension > |
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using | JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension > |
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using | JacobianType = Array2D< ParametersValueType > |
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using | MatrixType = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | OffsetType = OutputVectorType |
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using | OutputCovariantVectorType = CovariantVector< double, Self::OutputSpaceDimension > |
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using | OutputPointType = Point< double, Self::OutputSpaceDimension > |
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using | OutputVectorType = Vector< double, Self::OutputSpaceDimension > |
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using | OutputVnlVectorType = vnl_vector_fixed< double, Self::OutputSpaceDimension > |
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using | ParametersValueType = typename ParametersType::ValueType |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = ParametersValueType |
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using | Self = VersorTransform |
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using | Superclass = Rigid3DTransform< double > |
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using | VersorType = Versor< double > |
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using | VnlQuaternionType = vnl_quaternion< double > |
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using | CenterType = InputPointType |
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using | ConstPointer = SmartPointer< const Self > |
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using | InputCovariantVectorType = CovariantVector< double, Self::InputSpaceDimension > |
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using | InputPointType = Point< double, Self::InputSpaceDimension > |
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using | InputVectorType = Vector< double, Self::InputSpaceDimension > |
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using | InputVnlVectorType = vnl_vector_fixed< double, Self::InputSpaceDimension > |
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using | InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension > |
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using | InverseMatrixType = Matrix< double, Self::InputSpaceDimension, Self::OutputSpaceDimension > |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = typename Superclass::InverseTransformBaseType |
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using | JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension > |
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using | JacobianType = Array2D< ParametersValueType > |
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using | MatrixType = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | MatrixValueType = typename MatrixType::ValueType |
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using | OffsetType = OutputVectorType |
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using | OutputCovariantVectorType = CovariantVector< double, Self::OutputSpaceDimension > |
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using | OutputPointType = Point< double, Self::OutputSpaceDimension > |
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using | OutputVectorType = Vector< double, Self::OutputSpaceDimension > |
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using | OutputVectorValueType = typename OutputVectorType::ValueType |
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using | OutputVnlVectorType = vnl_vector_fixed< double, Self::OutputSpaceDimension > |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = ParametersValueType |
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using | Self = Rigid3DTransform |
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using | Superclass = MatrixOffsetTransformBase< double, 3, 3 > |
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using | TranslationType = OutputVectorType |
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using | CenterType = InputPointType |
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using | ConstPointer = SmartPointer< const Self > |
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using | InputCovariantVectorType = CovariantVector< double, Self::InputSpaceDimension > |
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using | InputDiffusionTensor3DType = DiffusionTensor3D< double > |
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using | InputPointType = Point< double, Self::InputSpaceDimension > |
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using | InputPointValueType = typename InputPointType::ValueType |
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using | InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VInputDimension > |
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using | InputTensorEigenVectorType = CovariantVector< double, InputDiffusionTensor3DType::Dimension > |
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using | InputVectorPixelType = VariableLengthVector< double > |
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using | InputVectorType = Vector< double, Self::InputSpaceDimension > |
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using | InputVnlVectorType = vnl_vector_fixed< double, Self::InputSpaceDimension > |
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using | InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension > |
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using | InverseMatrixType = Matrix< double, Self::InputSpaceDimension, Self::OutputSpaceDimension > |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = typename Superclass::InverseTransformBaseType |
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using | InverseTransformType = MatrixOffsetTransformBase< double, VOutputDimension, VInputDimension > |
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using | JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension > |
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using | JacobianType = Array2D< ParametersValueType > |
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using | MatrixType = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | MatrixValueType = typename MatrixType::ValueType |
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using | OffsetType = OutputVectorType |
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using | OffsetValueType = typename OffsetType::ValueType |
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using | OutputCovariantVectorType = CovariantVector< double, Self::OutputSpaceDimension > |
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using | OutputDiffusionTensor3DType = DiffusionTensor3D< double > |
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using | OutputPointType = Point< double, Self::OutputSpaceDimension > |
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using | OutputPointValueType = typename OutputPointType::ValueType |
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using | OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VOutputDimension > |
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using | OutputVectorPixelType = VariableLengthVector< double > |
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using | OutputVectorType = Vector< double, Self::OutputSpaceDimension > |
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using | OutputVectorValueType = typename OutputVectorType::ValueType |
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using | OutputVnlVectorType = vnl_vector_fixed< double, Self::OutputSpaceDimension > |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = ParametersValueType |
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using | Self = MatrixOffsetTransformBase |
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using | Superclass = Transform< double, VInputDimension, VOutputDimension > |
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using | TranslationType = OutputVectorType |
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using | TranslationValueType = typename TranslationType::ValueType |
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using | ConstPointer = SmartPointer< const Self > |
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using | DerivativeType = Array< ParametersValueType > |
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using | DirectionChangeMatrix = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | FixedParametersType = OptimizerParameters< FixedParametersValueType > |
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using | FixedParametersValueType = double |
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using | InputCovariantVectorType = CovariantVector< double, VInputDimension > |
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using | InputDiffusionTensor3DType = DiffusionTensor3D< double > |
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using | InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension > |
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using | InputPointType = Point< double, VInputDimension > |
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using | InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VInputDimension > |
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using | InputVectorPixelType = VariableLengthVector< double > |
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using | InputVectorType = Vector< double, VInputDimension > |
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using | InputVnlVectorType = vnl_vector_fixed< double, VInputDimension > |
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using | InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension > |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = Transform< double, VOutputDimension, VInputDimension > |
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using | JacobianPositionType = vnl_matrix_fixed< ParametersValueType, VOutputDimension, VInputDimension > |
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using | JacobianType = Array2D< ParametersValueType > |
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using | MatrixType = Matrix< double, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | NumberOfParametersType = IdentifierType |
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using | OutputCovariantVectorType = CovariantVector< double, VOutputDimension > |
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using | OutputDiffusionTensor3DType = DiffusionTensor3D< double > |
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using | OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension > |
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using | OutputPointType = Point< double, VOutputDimension > |
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using | OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< double, VOutputDimension > |
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using | OutputVectorPixelType = VariableLengthVector< double > |
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using | OutputVectorType = Vector< double, VOutputDimension > |
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using | OutputVnlVectorType = vnl_vector_fixed< double, VOutputDimension > |
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using | ParametersType = OptimizerParameters< ParametersValueType > |
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using | ParametersValueType = double |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = ParametersValueType |
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using | Self = Transform |
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using | Superclass = TransformBaseTemplate< double > |
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using | TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory |
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using | ConstPointer = SmartPointer< const Self > |
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using | FixedParametersType = OptimizerParameters< FixedParametersValueType > |
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using | FixedParametersValueType = double |
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using | NumberOfParametersType = IdentifierType |
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using | ParametersType = OptimizerParameters< ParametersValueType > |
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using | ParametersValueType = double |
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using | Pointer = SmartPointer< Self > |
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using | Self = TransformBaseTemplate |
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using | Superclass = Object |
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using | TransformCategoryEnum = TransformBaseTemplateEnums::TransformCategory |
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using | TransformCategoryType = TransformCategoryEnum |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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const char * | GetNameOfClass () const override |
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const ParametersType & | GetParameters () const override |
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virtual const ScaleType & | GetScale () const |
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void | SetIdentity () override |
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void | SetMatrix (const MatrixType &matrix) override |
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void | SetMatrix (const MatrixType &matrix, const TParametersValueType tolerance) override |
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void | SetParameters (const ParametersType ¶meters) override |
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void | SetScale (ScaleType scale) |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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const char * | GetNameOfClass () const override |
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const ParametersType & | GetParameters () const override |
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void | SetParameters (const ParametersType ¶meters) override |
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void | UpdateTransformParameters (const DerivativeType &update, double factor=1.0) override |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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const char * | GetNameOfClass () const override |
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const ParametersType & | GetParameters () const override |
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virtual const VersorType & | GetVersor () const |
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void | SetIdentity () override |
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void | SetParameters (const ParametersType ¶meters) override |
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void | SetRotation (const AxisType &axis, AngleType angle) |
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void | SetRotation (const VersorType &versor) |
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const char * | GetNameOfClass () const override |
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bool | MatrixIsOrthogonal (const MatrixType &matrix, const double tolerance=MatrixOrthogonalityTolerance< double >::GetTolerance()) |
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void | SetMatrix (const MatrixType &matrix) override |
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virtual void | SetMatrix (const MatrixType &matrix, const double tolerance) |
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void | SetParameters (const ParametersType ¶meters) override |
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void | Translate (const OffsetType &offset, bool pre=false) |
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void | Compose (const Self *other, bool pre=false) |
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void | ComputeInverseJacobianWithRespectToPosition (const InputPointType &x, InverseJacobianPositionType &jac) const override |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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virtual void | ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const |
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void | ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianPositionType &jac) const override |
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const InputPointType & | GetCenter () const |
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const FixedParametersType & | GetFixedParameters () const override |
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InverseTransformBasePointer | GetInverseTransform () const override |
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virtual const MatrixType & | GetMatrix () const |
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const char * | GetNameOfClass () const override |
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const OutputVectorType & | GetOffset () const |
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const ParametersType & | GetParameters () const override |
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TransformCategoryEnum | GetTransformCategory () const override |
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const OutputVectorType & | GetTranslation () const |
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bool | IsLinear () const override |
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void | SetFixedParameters (const FixedParametersType &) override |
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virtual void | SetIdentity () |
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void | SetParameters (const ParametersType ¶meters) override |
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virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &) const |
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OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &vec) const override |
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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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OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &vect) const override |
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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 &inputTensor, const InputPointType &point) const |
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OutputDiffusionTensor3DType | TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const |
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OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &tensor) const override |
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OutputPointType | TransformPoint (const InputPointType &point) const override |
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virtual OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const |
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OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor) const override |
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virtual OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const |
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OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor) const override |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &) const |
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OutputVectorPixelType | TransformVector (const InputVectorPixelType &vect) const override |
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virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &vector, const InputPointType &point) const |
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virtual OutputVectorType | TransformVector (const InputVectorType &) const |
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OutputVectorType | TransformVector (const InputVectorType &vect) const override |
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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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OutputVnlVectorType | TransformVector (const InputVnlVectorType &vect) const override |
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virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &vector, const InputPointType &point) const |
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void | SetOffset (const OutputVectorType &offset) |
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void | SetCenter (const InputPointType ¢er) |
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void | SetTranslation (const OutputVectorType &translation) |
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bool | GetInverse (InverseTransformType *inverse) const |
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virtual void | ComputeJacobianWithRespectToParametersCachedTemporaries (const InputPointType &p, JacobianType &jacobian, JacobianType &) const |
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void | CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end) override |
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void | CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end) override |
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const FixedParametersType & | GetFixedParameters () const override |
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unsigned int | GetInputSpaceDimension () const override |
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bool | GetInverse (Self *) const |
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virtual InverseTransformBasePointer | GetInverseTransform () const |
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const char * | GetNameOfClass () const override |
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virtual NumberOfParametersType | GetNumberOfFixedParameters () const |
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virtual NumberOfParametersType | GetNumberOfLocalParameters () const |
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NumberOfParametersType | GetNumberOfParameters () const override |
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unsigned int | GetOutputSpaceDimension () const override |
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const ParametersType & | GetParameters () const override |
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TransformCategoryEnum | GetTransformCategory () const override |
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std::string | GetTransformTypeAsString () const override |
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virtual bool | IsLinear () const |
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| itkCloneMacro (Self) |
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void | SetFixedParameters (const FixedParametersType &) override=0 |
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void | SetParameters (const ParametersType &) override=0 |
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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 &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const |
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virtual OutputPointType | TransformPoint (const InputPointType &) const=0 |
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virtual OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &) const |
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virtual OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, 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 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 void | UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0) |
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virtual void | ComputeJacobianWithRespectToParameters (const InputPointType &, JacobianType &) const=0 |
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virtual void | ComputeJacobianWithRespectToPosition (const InputPointType &, JacobianPositionType &) const |
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template< typename TImage > std std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void > | ApplyToImageMetadata (SmartPointer< TImage > image) const |
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virtual void | CopyInFixedParameters (const FixedParametersValueType *const begin, const FixedParametersValueType *const end)=0 |
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virtual void | CopyInParameters (const ParametersValueType *const begin, const ParametersValueType *const end)=0 |
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virtual const FixedParametersType & | GetFixedParameters () const=0 |
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virtual unsigned int | GetInputSpaceDimension () const=0 |
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virtual NumberOfParametersType | GetNumberOfParameters () const=0 |
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virtual unsigned int | GetOutputSpaceDimension () const=0 |
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virtual const ParametersType & | GetParameters () const=0 |
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virtual TransformCategoryEnum | GetTransformCategory () const=0 |
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virtual std::string | GetTransformTypeAsString () const=0 |
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| ITK_DISALLOW_COPY_AND_MOVE (TransformBaseTemplate) |
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| itkGetConstReferenceMacro (InputSpaceName, std::string) |
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| itkGetConstReferenceMacro (OutputSpaceName, std::string) |
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| itkOverrideGetNameOfClassMacro (TransformBaseTemplate) |
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| itkSetMacro (InputSpaceName, std::string) |
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| itkSetMacro (OutputSpaceName, std::string) |
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virtual void | SetFixedParameters (const FixedParametersType &)=0 |
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virtual void | SetParameters (const ParametersType &)=0 |
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virtual void | SetParametersByValue (const ParametersType &p)=0 |
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