template<typename TParametersValueType = double>
class itk::Similarity2DTransform< TParametersValueType >
Similarity2DTransform of a vector space (e.g. space coordinates)
This transform applies a homogeneous scale and rigid transform in 2D space. The transform is specified as a scale and rotation around a arbitrary center and is followed by a translation. given one angle for rotation, a homogeneous scale and a 2D offset for translation.
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 3 elements ordered as follows: p[0] = scale p[1] = angle p[2] = x component of the translation p[3] = y component of the translation
The serialization of the fixed parameters is an array of 2 elements ordered as follows: p[0] = x coordinate of the center p[1] = y coordinate of the center
Access methods for the center, translation and underlying matrix offset vectors are documented in the superclass MatrixOffsetTransformBase.
Access methods for the angle are documented in superclass Rigid2DTransform.
- See also
- Transform
-
MatrixOffsetTransformBase
-
Rigid2DTransform
- Examples
- Examples/Filtering/ResampleImageFilter5.cxx, and Examples/RegistrationITKv4/ImageRegistration7.cxx.
Definition at line 62 of file itkSimilarity2DTransform.h.
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using | ConstPointer = SmartPointer< const Self > |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = typename Superclass::InverseTransformBaseType |
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using | Pointer = SmartPointer< Self > |
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using | ScaleType = TParametersValueType |
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using | Self = Similarity2DTransform |
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using | Superclass = Rigid2DTransform< TParametersValueType > |
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using | ConstPointer = SmartPointer< const Self > |
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using | InverseTransformBasePointer = typename InverseTransformBaseType::Pointer |
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using | InverseTransformBaseType = typename Superclass::InverseTransformBaseType |
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using | Pointer = SmartPointer< Self > |
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using | Self = Rigid2DTransform |
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using | Superclass = MatrixOffsetTransformBase< TParametersValueType, 2, 2 > |
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using | CenterType = InputPointType |
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using | ConstPointer = SmartPointer< const Self > |
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using | InputCovariantVectorType = CovariantVector< TParametersValueType, Self::InputSpaceDimension > |
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using | InputDiffusionTensor3DType = DiffusionTensor3D< TParametersValueType > |
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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 = SymmetricSecondRankTensor< TParametersValueType, VInputDimension > |
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using | InputTensorEigenVectorType = CovariantVector< TParametersValueType, InputDiffusionTensor3DType::Dimension > |
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using | InputVectorPixelType = VariableLengthVector< TParametersValueType > |
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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 = vnl_matrix_fixed< ParametersValueType, VInputDimension, VOutputDimension > |
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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 | InverseTransformType = MatrixOffsetTransformBase< TParametersValueType, 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< 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 = DiffusionTensor3D< TParametersValueType > |
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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 = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension > |
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using | OutputVectorPixelType = VariableLengthVector< TParametersValueType > |
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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 | Pointer = SmartPointer< Self > |
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using | ScalarType = ParametersValueType |
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using | Self = MatrixOffsetTransformBase |
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using | Superclass = Transform< TParametersValueType, 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 | InputCovariantVectorType = CovariantVector< TParametersValueType, VInputDimension > |
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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, VInputDimension > |
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using | InputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VInputDimension > |
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using | InputVectorPixelType = VariableLengthVector< TParametersValueType > |
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using | InputVectorType = Vector< TParametersValueType, VInputDimension > |
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using | InputVnlVectorType = vnl_vector_fixed< TParametersValueType, 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< TParametersValueType, 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< TParametersValueType, Self::OutputSpaceDimension, Self::InputSpaceDimension > |
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using | OutputCovariantVectorType = CovariantVector< TParametersValueType, VOutputDimension > |
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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, VOutputDimension > |
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using | OutputSymmetricSecondRankTensorType = SymmetricSecondRankTensor< TParametersValueType, VOutputDimension > |
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using | OutputVectorPixelType = VariableLengthVector< TParametersValueType > |
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using | OutputVectorType = Vector< TParametersValueType, VOutputDimension > |
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using | OutputVnlVectorType = vnl_vector_fixed< TParametersValueType, VOutputDimension > |
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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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void | CloneInverseTo (Pointer &result) const |
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void | CloneTo (Pointer &result) const |
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void | ComputeJacobianWithRespectToParameters (const InputPointType &p, JacobianType &jacobian) const override |
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bool | GetInverse (Self *inverse) const |
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InverseTransformBasePointer | GetInverseTransform () 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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InputCovariantVectorType | BackTransform (const OutputCovariantVectorType &vect) const |
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InputPointType | BackTransform (const OutputPointType &point) const |
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InputVectorType | BackTransform (const OutputVectorType &vect) const |
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InputVnlVectorType | BackTransform (const OutputVnlVectorType &vect) const |
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void | CloneInverseTo (Pointer &result) const |
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void | CloneTo (Pointer &result) const |
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virtual const TParametersValueType & | GetAngle () const |
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bool | GetInverse (Self *inverse) const |
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const char * | GetNameOfClass () const override |
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const ParametersType & | GetParameters () const override |
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void | SetAngle (TParametersValueType angle) |
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void | SetAngleInDegrees (TParametersValueType angle) |
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void | Translate (const OffsetType &offset, bool pre=false) |
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void | SetRotation (TParametersValueType angle) |
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virtual const TParametersValueType & | GetRotation () const |
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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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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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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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| 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 &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformDiffusionTensor3D (const InputVectorPixelType &inputTensor, const InputPointType &point) const |
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virtual OutputSymmetricSecondRankTensorType | TransformSymmetricSecondRankTensor (const InputSymmetricSecondRankTensorType &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformSymmetricSecondRankTensor (const InputVectorPixelType &inputTensor, const InputPointType &point) const |
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virtual OutputVectorPixelType | TransformVector (const InputVectorPixelType &vector, 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 void | UpdateTransformParameters (const DerivativeType &update, ParametersValueType factor=1.0) |
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template<typename TImage > |
template< typename TImage > std std::enable_if_t< TImage::ImageDimension==VInputDimension &&TImage::ImageDimension==VOutputDimension, void > | ApplyToImageMetadata (SmartPointer< TImage > image) const |
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