template<typename TParametersValueType = double>
class itk::ScaleSkewVersor3DTransform< TParametersValueType >
ScaleSkewVersor3DTransform of a vector space (e.g. space coordinates)
This transform applies a versor rotation and translation & scale/skew 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 15 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 next 3 parameters defines scaling in each dimension. The last 6 parameters defines the skew.
The serialization of the fixed parameters is an array of 3 elements defining the center of rotation.
The transform can be described as: where is the rotation matrix given the versor, , and .
Definition at line 54 of file itkScaleSkewVersor3DTransform.h.
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using | AngleType = typename Superclass::AngleType |
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using | AxisType = typename Superclass::AxisType |
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using | AxisValueType = typename Superclass::AxisValueType |
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using | CenterType = typename Superclass::CenterType |
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using | ConstPointer = SmartPointer< const Self > |
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using | FixedParametersType = typename Superclass::FixedParametersType |
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using | InputCovariantVectorType = typename Superclass::InputCovariantVectorType |
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using | InputPointType = typename Superclass::InputPointType |
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using | InputVectorType = typename Superclass::InputVectorType |
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using | InputVnlVectorType = typename Superclass::InputVnlVectorType |
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using | InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType |
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using | InverseMatrixType = typename Superclass::InverseMatrixType |
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using | JacobianPositionType = typename Superclass::JacobianPositionType |
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using | JacobianType = typename Superclass::JacobianType |
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using | MatrixType = typename Superclass::MatrixType |
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using | OffsetType = typename Superclass::OffsetType |
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using | OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType |
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using | OutputPointType = typename Superclass::OutputPointType |
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using | OutputVectorType = typename Superclass::OutputVectorType |
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using | OutputVnlVectorType = typename Superclass::OutputVnlVectorType |
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using | ParametersType = typename Superclass::ParametersType |
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using | ParametersValueType = typename Superclass::ParametersValueType |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = typename Superclass::ScalarType |
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using | ScaleVectorType = Vector< TParametersValueType, 3 > |
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using | ScaleVectorValueType = typename ScaleVectorType::ValueType |
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using | Self = ScaleSkewVersor3DTransform |
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using | SkewVectorType = Vector< TParametersValueType, 6 > |
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using | SkewVectorValueType = typename SkewVectorType::ValueType |
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using | Superclass = VersorRigid3DTransform< TParametersValueType > |
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using | TranslationType = typename Superclass::TranslationType |
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using | TranslationValueType = typename TranslationType::ValueType |
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using | VersorType = typename Superclass::VersorType |
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using | AngleType = typename Superclass::AngleType |
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using | AxisType = typename Superclass::AxisType |
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using | AxisValueType = typename Superclass::AxisValueType |
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using | CenterType = typename Superclass::CenterType |
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using | ConstPointer = SmartPointer< const Self > |
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using | DerivativeType = Array< ParametersValueType > |
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using | FixedParametersType = typename Superclass::FixedParametersType |
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using | InputCovariantVectorType = typename Superclass::InputCovariantVectorType |
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using | InputPointType = typename Superclass::InputPointType |
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using | InputVectorType = typename Superclass::InputVectorType |
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using | InputVnlVectorType = typename Superclass::InputVnlVectorType |
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using | InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType |
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using | InverseMatrixType = typename Superclass::InverseMatrixType |
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using | JacobianPositionType = typename Superclass::JacobianPositionType |
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using | JacobianType = typename Superclass::JacobianType |
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using | MatrixType = typename Superclass::MatrixType |
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using | OffsetType = typename Superclass::OffsetType |
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using | OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType |
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using | OutputPointType = typename Superclass::OutputPointType |
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using | OutputVectorType = typename Superclass::OutputVectorType |
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using | OutputVnlVectorType = typename Superclass::OutputVnlVectorType |
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using | ParametersType = typename Superclass::ParametersType |
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using | ParametersValueType = typename Superclass::ParametersValueType |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = typename Superclass::ScalarType |
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using | Self = VersorRigid3DTransform |
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using | Superclass = VersorTransform< TParametersValueType > |
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using | TranslationType = typename Superclass::TranslationType |
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using | TranslationValueType = typename Superclass::TranslationValueType |
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using | VectorType = typename VersorType::VectorType |
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using | VersorType = typename Superclass::VersorType |
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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 = typename Superclass::CenterType |
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using | ConstPointer = SmartPointer< const Self > |
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using | FixedParametersType = typename Superclass::FixedParametersType |
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using | InputCovariantVectorType = typename Superclass::InputCovariantVectorType |
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using | InputPointType = typename Superclass::InputPointType |
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using | InputVectorType = typename Superclass::InputVectorType |
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using | InputVnlVectorType = typename Superclass::InputVnlVectorType |
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using | InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType |
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using | InverseMatrixType = typename Superclass::InverseMatrixType |
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using | JacobianPositionType = typename Superclass::JacobianPositionType |
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using | JacobianType = typename Superclass::JacobianType |
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using | MatrixType = typename Superclass::MatrixType |
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using | OffsetType = typename Superclass::OffsetType |
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using | OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType |
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using | OutputPointType = typename Superclass::OutputPointType |
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using | OutputVectorType = typename Superclass::OutputVectorType |
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using | OutputVnlVectorType = typename Superclass::OutputVnlVectorType |
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using | ParametersType = typename Superclass::ParametersType |
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using | ParametersValueType = typename ParametersType::ValueType |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = typename Superclass::ScalarType |
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using | Self = VersorTransform |
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using | Superclass = Rigid3DTransform< TParametersValueType > |
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using | VersorType = Versor< TParametersValueType > |
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using | VnlQuaternionType = vnl_quaternion< TParametersValueType > |
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using | CenterType = typename Superclass::CenterType |
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using | ConstPointer = SmartPointer< const Self > |
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using | FixedParametersType = typename Superclass::FixedParametersType |
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using | FixedParametersValueType = typename Superclass::FixedParametersValueType |
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using | InputCovariantVectorType = typename Superclass::InputCovariantVectorType |
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using | InputPointType = typename Superclass::InputPointType |
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using | InputVectorType = typename Superclass::InputVectorType |
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using | InputVnlVectorType = typename Superclass::InputVnlVectorType |
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using | InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType |
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using | InverseMatrixType = typename Superclass::InverseMatrixType |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = typename Superclass::InverseTransformBaseType |
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using | JacobianPositionType = typename Superclass::JacobianPositionType |
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using | JacobianType = typename Superclass::JacobianType |
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using | MatrixType = typename Superclass::MatrixType |
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using | MatrixValueType = typename Superclass::MatrixValueType |
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using | OffsetType = typename Superclass::OffsetType |
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using | OutputCovariantVectorType = typename Superclass::OutputCovariantVectorType |
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using | OutputPointType = typename Superclass::OutputPointType |
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using | OutputVectorType = typename Superclass::OutputVectorType |
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using | OutputVectorValueType = typename Superclass::OutputVectorValueType |
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using | OutputVnlVectorType = typename Superclass::OutputVnlVectorType |
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using | ParametersType = typename Superclass::ParametersType |
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using | ParametersValueType = typename Superclass::ParametersValueType |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = typename Superclass::ScalarType |
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using | Self = Rigid3DTransform |
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using | Superclass = MatrixOffsetTransformBase< TParametersValueType, 3, 3 > |
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using | TranslationType = typename Superclass::TranslationType |
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using | CenterType = InputPointType |
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using | ConstPointer = SmartPointer< const Self > |
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using | FixedParametersType = typename Superclass::FixedParametersType |
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using | FixedParametersValueType = typename Superclass::FixedParametersValueType |
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using | InputCovariantVectorType = CovariantVector< TParametersValueType, Self::InputSpaceDimension > |
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using | InputDiffusionTensor3DType = typename Superclass::InputDiffusionTensor3DType |
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using | InputPointType = Point< TParametersValueType, Self::InputSpaceDimension > |
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using | InputPointValueType = typename InputPointType::ValueType |
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using | InputSymmetricSecondRankTensorType = typename Superclass::InputSymmetricSecondRankTensorType |
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using | InputTensorEigenVectorType = CovariantVector< TParametersValueType, InputDiffusionTensor3DType::Dimension > |
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using | InputVectorPixelType = typename Superclass::InputVectorPixelType |
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using | InputVectorType = Vector< TParametersValueType, Self::InputSpaceDimension > |
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using | InputVnlVectorType = vnl_vector_fixed< TParametersValueType, Self::InputSpaceDimension > |
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using | InverseJacobianPositionType = typename Superclass::InverseJacobianPositionType |
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using | InverseMatrixType = Matrix< TParametersValueType, 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 = typename Superclass::JacobianPositionType |
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using | JacobianType = typename Superclass::JacobianType |
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using | MatrixType = Matrix< TParametersValueType, 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< TParametersValueType, Self::OutputSpaceDimension > |
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using | OutputDiffusionTensor3DType = typename Superclass::OutputDiffusionTensor3DType |
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using | OutputPointType = Point< TParametersValueType, Self::OutputSpaceDimension > |
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using | OutputPointValueType = typename OutputPointType::ValueType |
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using | OutputSymmetricSecondRankTensorType = typename Superclass::OutputSymmetricSecondRankTensorType |
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using | OutputVectorPixelType = typename Superclass::OutputVectorPixelType |
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using | OutputVectorType = Vector< TParametersValueType, Self::OutputSpaceDimension > |
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using | OutputVectorValueType = typename OutputVectorType::ValueType |
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using | OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, Self::OutputSpaceDimension > |
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using | ParametersType = typename Superclass::ParametersType |
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using | ParametersValueType = typename Superclass::ParametersValueType |
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using | Pointer = SmartPointer< Self > |
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using | ScalarType = typename Superclass::ScalarType |
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using | Self = MatrixOffsetTransformBase |
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using | Superclass = Transform< TParametersValueType, NInputDimensions, NOutputDimensions > |
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using | TransformCategoryType = typename Superclass::TransformCategoryType |
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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 = typename Superclass::FixedParametersType |
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using | FixedParametersValueType = typename Superclass::FixedParametersValueType |
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using | InputCovariantVectorType = CovariantVector< TParametersValueType, NInputDimensions > |
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using | InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType > |
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using | InputDirectionMatrix = Matrix< double, Self::InputSpaceDimension, Self::InputSpaceDimension > |
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using | InputPointType = Point< TParametersValueType, NInputDimensions > |
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using | InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NInputDimensions > |
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using | InputVectorPixelType = VariableLengthVector< TParametersValueType > |
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using | InputVectorType = Vector< TParametersValueType, NInputDimensions > |
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using | InputVnlVectorType = vnl_vector_fixed< TParametersValueType, NInputDimensions > |
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using | InverseJacobianPositionType = vnl_matrix_fixed< ParametersValueType, NInputDimensions, NOutputDimensions > |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = Transform< TParametersValueType, NOutputDimensions, NInputDimensions > |
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using | JacobianPositionType = vnl_matrix_fixed< ParametersValueType, NOutputDimensions, NInputDimensions > |
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using | JacobianType = Array2D< ParametersValueType > |
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using | MatrixType = Matrix< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | NumberOfParametersType = typename Superclass::NumberOfParametersType |
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using | OutputCovariantVectorType = CovariantVector< TParametersValueType, NOutputDimensions > |
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using | OutputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType > |
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using | OutputDirectionMatrix = Matrix< double, Self::OutputSpaceDimension, Self::OutputSpaceDimension > |
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using | OutputPointType = Point< TParametersValueType, NOutputDimensions > |
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using | OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, NOutputDimensions > |
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using | OutputVectorPixelType = VariableLengthVector< TParametersValueType > |
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using | OutputVectorType = Vector< TParametersValueType, NOutputDimensions > |
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using | OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, NOutputDimensions > |
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using | ParametersType = typename Superclass::ParametersType |
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using | ParametersValueType = typename Superclass::ParametersValueType |
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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< TParametersValueType > |
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using | TransformCategoryType = typename Superclass::TransformCategoryType |
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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 = TParametersValueType |
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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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enum | TransformCategoryType {
UnknownTransformCategory =0,
Linear =1,
BSpline =2,
Spline =3,
DisplacementField =4,
VelocityField =5
} |
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using | ConstPointer = SmartPointer< const Self > |
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using | Pointer = SmartPointer< Self > |
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using | Self = Object |
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using | Superclass = LightObject |
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using | ConstPointer = SmartPointer< const Self > |
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using | Pointer = SmartPointer< Self > |
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using | Self = LightObject |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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virtual ::itk::LightObject::Pointer | CreateAnother () const |
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virtual const char * | GetNameOfClass () const |
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const ParametersType & | GetParameters () const override |
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virtual const ScaleVectorType & | GetScale () const |
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virtual const SkewVectorType & | GetSkew () const |
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void | SetIdentity () override |
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void | SetParameters (const ParametersType ¶meters) override |
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void | SetScale (const ScaleVectorType &scale) |
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void | SetSkew (const SkewVectorType &skew) |
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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 | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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virtual ::itk::LightObject::Pointer | CreateAnother () const |
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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, TParametersValueType factor=1.0) override |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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virtual ::itk::LightObject::Pointer | CreateAnother () const |
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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 VersorType &versor) |
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void | SetRotation (const AxisType &axis, AngleType angle) |
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bool | MatrixIsOrthogonal (const MatrixType &matrix, const TParametersValueType tolerance=MatrixOrthogonalityTolerance< TParametersValueType >::GetTolerance()) |
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void | SetMatrix (const MatrixType &matrix) 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 &x, JacobianType &j) const override |
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void | ComputeJacobianWithRespectToPosition (const InputPointType &x, JacobianPositionType &jac) const override |
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virtual ::itk::LightObject::Pointer | CreateAnother () const |
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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 OutputVectorType & | GetOffset () const |
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const ParametersType & | GetParameters () const override |
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TransformCategoryType | 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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void | SetParameters (const ParametersType ¶meters) override |
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OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &vector) const override |
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OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &vector) const override |
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OutputDiffusionTensor3DType | TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor) const override |
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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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OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor) const override |
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OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor) const override |
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OutputVectorType | TransformVector (const InputVectorType &vector) const override |
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OutputVnlVectorType | TransformVector (const InputVnlVectorType &vector) const override |
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OutputVectorPixelType | TransformVector (const InputVectorPixelType &vector) const override |
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virtual void | SetMatrix (const MatrixType &matrix) |
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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 (Self *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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unsigned int | GetInputSpaceDimension () const override |
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bool | GetInverse (Self *) const |
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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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std::string | GetTransformTypeAsString () const override |
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| itkCloneMacro (Self) |
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void | SetParametersByValue (const ParametersType &p) override |
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virtual OutputCovariantVectorType | TransformCovariantVector (const InputCovariantVectorType &vector, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformCovariantVector (const InputVectorPixelType &vector, const InputPointType &point) const |
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virtual OutputDiffusionTensor3DType | TransformDiffusionTensor3D (const InputDiffusionTensor3DType &tensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &tensor, const InputPointType &point) const |
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virtual
OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &tensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &tensor, const InputPointType &point) const |
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virtual OutputVectorType | TransformVector (const InputVectorType &vector, const InputPointType &point) const |
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virtual OutputVnlVectorType | TransformVector (const InputVnlVectorType &vector, const InputPointType &point) 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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| itkLegacyMacro (virtual void ComputeJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) const) |
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| itkLegacyMacro (virtual void ComputeInverseJacobianWithRespectToPosition(const InputPointType &x, JacobianType &jacobian) 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 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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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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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 | SetReferenceCount (int) override |
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void | UnRegister () const noexceptoverride |
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void | SetMetaDataDictionary (const MetaDataDictionary &rhs) |
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void | SetMetaDataDictionary (MetaDataDictionary &&rrhs) |
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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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