ITK
4.3.0
Insight Segmentation and Registration Toolkit
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#include <itkSimilarity3DTransform.h>
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.
Definition at line 48 of file itkSimilarity3DTransform.h.
Public Types | |
typedef Superclass::AngleType | AngleType |
typedef Superclass::AxisType | AxisType |
typedef Superclass::CenterType | CenterType |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef Superclass::InverseMatrixType | InverseMatrixType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::MatrixType | MatrixType |
typedef Superclass::OffsetType | OffsetType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef TScalarType | ScaleType |
typedef Similarity3DTransform | Self |
typedef VersorRigid3DTransform < TScalarType > | Superclass |
typedef Superclass::TranslationType | TranslationType |
typedef Superclass::VersorType | VersorType |
Public Types inherited from itk::VersorRigid3DTransform< TScalarType > | |
typedef Superclass::AngleType | AngleType |
typedef Superclass::AxisType | AxisType |
typedef Superclass::AxisValueType | AxisValueType |
typedef Superclass::CenterType | CenterType |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef Superclass::InverseMatrixType | InverseMatrixType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::MatrixType | MatrixType |
typedef Superclass::OffsetType | OffsetType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParameterValueType | ParameterValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef VersorRigid3DTransform | Self |
typedef VersorTransform < TScalarType > | Superclass |
typedef Superclass::TranslationType | TranslationType |
typedef Superclass::TranslationValueType | TranslationValueType |
typedef Superclass::VersorType | VersorType |
Public Types inherited from itk::VersorTransform< TScalarType > | |
typedef VersorType::ValueType | AngleType |
typedef VersorType::VectorType | AxisType |
typedef AxisType::ValueType | AxisValueType |
typedef Superclass::CenterType | CenterType |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef Superclass::InverseMatrixType | InverseMatrixType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::MatrixType | MatrixType |
typedef Superclass::OffsetType | OffsetType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef ParametersType::ValueType | ParameterValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef VersorTransform | Self |
typedef Rigid3DTransform < TScalarType > | Superclass |
typedef Versor< TScalarType > | VersorType |
typedef vnl_quaternion < TScalarType > | VnlQuaternionType |
Public Types inherited from itk::Rigid3DTransform< TScalarType > | |
typedef Superclass::CenterType | CenterType |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef Superclass::InverseMatrixType | InverseMatrixType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Superclass::InverseTransformBaseType | InverseTransformBaseType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::MatrixType | MatrixType |
typedef Superclass::MatrixValueType | MatrixValueType |
typedef Superclass::OffsetType | OffsetType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVectorValueType | OutputVectorValueType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef Rigid3DTransform | Self |
typedef MatrixOffsetTransformBase < TScalarType, 3, 3 > | Superclass |
typedef Superclass::TranslationType | TranslationType |
Public Types inherited from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 > | |
typedef InputPointType | CenterType |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputDiffusionTensor3DType | InputDiffusionTensor3DType |
typedef Superclass::InputSymmetricSecondRankTensorType | InputSymmetricSecondRankTensorType |
typedef CovariantVector < TScalarType, InputDiffusionTensor3DType::Dimension > | InputTensorEigenVectorType |
typedef Superclass::InputVectorPixelType | InputVectorPixelType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> | InverseMatrixType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Superclass::InverseTransformBaseType | InverseTransformBaseType |
typedef Superclass::JacobianType | JacobianType |
typedef OutputVectorType | OffsetType |
typedef OffsetType::ValueType | OffsetValueType |
typedef Superclass::OutputDiffusionTensor3DType | OutputDiffusionTensor3DType |
typedef Superclass::OutputSymmetricSecondRankTensorType | OutputSymmetricSecondRankTensorType |
typedef Superclass::OutputVectorPixelType | OutputVectorPixelType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef MatrixOffsetTransformBase | Self |
typedef Transform< TScalarType, NInputDimensions, NOutputDimensions > | Superclass |
typedef Superclass::TransformCategoryType | TransformCategoryType |
typedef OutputVectorType | TranslationType |
typedef TranslationType::ValueType | TranslationValueType |
typedef Vector< TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputVectorType |
typedef Vector< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputVectorType |
typedef OutputVectorType::ValueType | OutputVectorValueType |
typedef CovariantVector < TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputCovariantVectorType |
typedef CovariantVector < TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputCovariantVectorType |
typedef vnl_vector_fixed < TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputVnlVectorType |
typedef vnl_vector_fixed < TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputVnlVectorType |
typedef Point< TScalarType, itkGetStaticConstMacro(InputSpaceDimension)> | InputPointType |
typedef InputPointType::ValueType | InputPointValueType |
typedef Point< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension)> | OutputPointType |
typedef OutputPointType::ValueType | OutputPointValueType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
typedef MatrixType::ValueType | MatrixValueType |
Public Types inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
typedef SmartPointer< const Self > | ConstPointer |
typedef Array < ParametersValueType > | DerivativeType |
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | DirectionChangeMatrix |
typedef CovariantVector < TScalarType, NInputDimensions > | InputCovariantVectorType |
typedef DiffusionTensor3D < TScalarType > | InputDiffusionTensor3DType |
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | InputDirectionMatrix |
typedef Point< TScalarType, NInputDimensions > | InputPointType |
typedef SymmetricSecondRankTensor < TScalarType, NInputDimensions > | InputSymmetricSecondRankTensorType |
typedef VariableLengthVector < TScalarType > | InputVectorPixelType |
typedef Vector< TScalarType, NInputDimensions > | InputVectorType |
typedef vnl_vector_fixed < TScalarType, NInputDimensions > | InputVnlVectorType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions > | InverseTransformBaseType |
typedef Array2D < ParametersValueType > | JacobianType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
typedef Superclass::NumberOfParametersType | NumberOfParametersType |
typedef CovariantVector < TScalarType, NOutputDimensions > | OutputCovariantVectorType |
typedef DiffusionTensor3D < TScalarType > | OutputDiffusionTensor3DType |
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> | OutputDirectionMatrix |
typedef Point< TScalarType, NOutputDimensions > | OutputPointType |
typedef SymmetricSecondRankTensor < TScalarType, NOutputDimensions > | OutputSymmetricSecondRankTensorType |
typedef VariableLengthVector < TScalarType > | OutputVectorPixelType |
typedef Vector< TScalarType, NOutputDimensions > | OutputVectorType |
typedef vnl_vector_fixed < TScalarType, NOutputDimensions > | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef TScalarType | ScalarType |
typedef Transform | Self |
typedef TransformBase | Superclass |
Public Types inherited from itk::TransformBase | |
typedef SmartPointer< const Self > | ConstPointer |
typedef IdentifierType | NumberOfParametersType |
typedef OptimizerParameters < ParametersValueType > | ParametersType |
typedef double | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef TransformBase | Self |
typedef Object | Superclass |
enum | TransformCategoryType { UnknownTransformCategory =0, Linear =1, BSpline =2, Spline =3, DisplacementField =4, VelocityField =5 } |
Public Types inherited from itk::Object | |
typedef SmartPointer< const Self > | ConstPointer |
typedef SmartPointer< Self > | Pointer |
typedef Object | Self |
typedef LightObject | Superclass |
Public Types inherited from itk::LightObject | |
typedef SmartPointer< const Self > | ConstPointer |
typedef SmartPointer< Self > | Pointer |
typedef LightObject | Self |
Static Public Member Functions | |
static Pointer | New () |
Static Public Member Functions inherited from itk::VersorRigid3DTransform< TScalarType > | |
static Pointer | New () |
Static Public Member Functions inherited from itk::VersorTransform< TScalarType > | |
static Pointer | New () |
Static Public Attributes | |
static const unsigned int | SpaceDimension = 3 |
static const unsigned int | InputSpaceDimension = 3 |
static const unsigned int | OutputSpaceDimension = 3 |
static const unsigned int | ParametersDimension = 7 |
Static Public Attributes inherited from itk::VersorRigid3DTransform< TScalarType > | |
static const unsigned int | SpaceDimension = 3 |
static const unsigned int | InputSpaceDimension = 3 |
static const unsigned int | OutputSpaceDimension = 3 |
static const unsigned int | ParametersDimension = 6 |
Static Public Attributes inherited from itk::VersorTransform< TScalarType > | |
static const unsigned int | SpaceDimension = 3 |
static const unsigned int | InputSpaceDimension = 3 |
static const unsigned int | OutputSpaceDimension = 3 |
static const unsigned int | ParametersDimension = 3 |
Static Public Attributes inherited from itk::Rigid3DTransform< TScalarType > | |
static const unsigned int | SpaceDimension = 3 |
static const unsigned int | InputSpaceDimension = 3 |
static const unsigned int | OutputSpaceDimension = 3 |
static const unsigned int | ParametersDimension = 12 |
Static Public Attributes inherited from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 > | |
static const unsigned int | InputSpaceDimension |
static const unsigned int | OutputSpaceDimension |
static const unsigned int | ParametersDimension |
Static Public Attributes inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
static const unsigned int | InputSpaceDimension = NInputDimensions |
static const unsigned int | OutputSpaceDimension = NOutputDimensions |
Private Member Functions | |
void | operator= (const Self &) |
Similarity3DTransform (const Self &) | |
Private Attributes | |
ScaleType | m_Scale |
Additional Inherited Members | |
Protected Types inherited from itk::LightObject | |
typedef int | InternalReferenceCountType |
Protected Attributes inherited from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions > | |
DirectionChangeMatrix | m_DirectionChange |
ParametersType | m_FixedParameters |
ParametersType | m_Parameters |
typedef Superclass::AngleType itk::Similarity3DTransform< TScalarType >::AngleType |
Definition at line 92 of file itkSimilarity3DTransform.h.
typedef Superclass::AxisType itk::Similarity3DTransform< TScalarType >::AxisType |
Definition at line 91 of file itkSimilarity3DTransform.h.
typedef Superclass::CenterType itk::Similarity3DTransform< TScalarType >::CenterType |
Definition at line 85 of file itkSimilarity3DTransform.h.
typedef SmartPointer<const Self> itk::Similarity3DTransform< TScalarType >::ConstPointer |
Definition at line 56 of file itkSimilarity3DTransform.h.
typedef Superclass::InputCovariantVectorType itk::Similarity3DTransform< TScalarType >::InputCovariantVectorType |
Definition at line 81 of file itkSimilarity3DTransform.h.
typedef Superclass::InputPointType itk::Similarity3DTransform< TScalarType >::InputPointType |
Definition at line 75 of file itkSimilarity3DTransform.h.
typedef Superclass::InputVectorType itk::Similarity3DTransform< TScalarType >::InputVectorType |
Definition at line 77 of file itkSimilarity3DTransform.h.
typedef Superclass::InputVnlVectorType itk::Similarity3DTransform< TScalarType >::InputVnlVectorType |
Definition at line 79 of file itkSimilarity3DTransform.h.
typedef Superclass::InverseMatrixType itk::Similarity3DTransform< TScalarType >::InverseMatrixType |
Definition at line 84 of file itkSimilarity3DTransform.h.
typedef Superclass::JacobianType itk::Similarity3DTransform< TScalarType >::JacobianType |
Definition at line 73 of file itkSimilarity3DTransform.h.
typedef Superclass::MatrixType itk::Similarity3DTransform< TScalarType >::MatrixType |
Definition at line 83 of file itkSimilarity3DTransform.h.
typedef Superclass::OffsetType itk::Similarity3DTransform< TScalarType >::OffsetType |
Definition at line 86 of file itkSimilarity3DTransform.h.
typedef Superclass::OutputCovariantVectorType itk::Similarity3DTransform< TScalarType >::OutputCovariantVectorType |
Definition at line 82 of file itkSimilarity3DTransform.h.
typedef Superclass::OutputPointType itk::Similarity3DTransform< TScalarType >::OutputPointType |
Definition at line 76 of file itkSimilarity3DTransform.h.
typedef Superclass::OutputVectorType itk::Similarity3DTransform< TScalarType >::OutputVectorType |
Definition at line 78 of file itkSimilarity3DTransform.h.
typedef Superclass::OutputVnlVectorType itk::Similarity3DTransform< TScalarType >::OutputVnlVectorType |
Definition at line 80 of file itkSimilarity3DTransform.h.
typedef Superclass::ParametersType itk::Similarity3DTransform< TScalarType >::ParametersType |
Parameters Type
Definition at line 72 of file itkSimilarity3DTransform.h.
typedef SmartPointer<Self> itk::Similarity3DTransform< TScalarType >::Pointer |
Definition at line 55 of file itkSimilarity3DTransform.h.
typedef Superclass::ScalarType itk::Similarity3DTransform< TScalarType >::ScalarType |
Definition at line 74 of file itkSimilarity3DTransform.h.
typedef TScalarType itk::Similarity3DTransform< TScalarType >::ScaleType |
Definition at line 93 of file itkSimilarity3DTransform.h.
typedef Similarity3DTransform itk::Similarity3DTransform< TScalarType >::Self |
Standard class typedefs.
Definition at line 53 of file itkSimilarity3DTransform.h.
typedef VersorRigid3DTransform<TScalarType> itk::Similarity3DTransform< TScalarType >::Superclass |
Definition at line 54 of file itkSimilarity3DTransform.h.
typedef Superclass::TranslationType itk::Similarity3DTransform< TScalarType >::TranslationType |
Definition at line 87 of file itkSimilarity3DTransform.h.
typedef Superclass::VersorType itk::Similarity3DTransform< TScalarType >::VersorType |
Versor type.
Definition at line 90 of file itkSimilarity3DTransform.h.
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Definition at line 128 of file itkSimilarity3DTransform.h.
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This method computes the Jacobian matrix of the transformation. given point or vector, returning the transformed point or vector. The rank of the Jacobian will also indicate if the transform is invertible at this point.
Reimplemented from itk::VersorRigid3DTransform< TScalarType >.
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Recomputes the matrix by calling the Superclass::ComputeMatrix() and then applying the scale factor.
Reimplemented from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.
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Computes the parameters from an input matrix.
Reimplemented from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.
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Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.
Reimplemented from itk::Object.
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Run-time type information (and related methods).
Reimplemented from itk::VersorRigid3DTransform< TScalarType >.
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Get the Transformation Parameters.
Reimplemented from itk::VersorRigid3DTransform< TScalarType >.
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New macro for creation of through a Smart Pointer.
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Print contents of an Rigid3DTransform
Reimplemented from itk::Rigid3DTransform< TScalarType >.
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Set the parameters to the IdentityTransform
Reimplemented from itk::VersorTransform< TScalarType >.
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Directly set the rotation matrix of the transform.
Reimplemented from itk::Rigid3DTransform< TScalarType >.
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Set the transformation from a container of parameters This is typically used by optimizers. There are 7 parameters. The first three represent the versor, the next three represent the translation and the last one represents the scaling factor.
Reimplemented from itk::Rigid3DTransform< TScalarType >.
void itk::Similarity3DTransform< TScalarType >::SetScale | ( | ScaleType | scale | ) |
Set/Get the value of the isotropic scaling factor
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Dimension of parameters.
Definition at line 66 of file itkSimilarity3DTransform.h.
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Definition at line 145 of file itkSimilarity3DTransform.h.
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Dimension of parameters.
Definition at line 67 of file itkSimilarity3DTransform.h.
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Dimension of parameters.
Definition at line 68 of file itkSimilarity3DTransform.h.
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Dimension of parameters.
Definition at line 65 of file itkSimilarity3DTransform.h.