ITK
4.3.0
Insight Segmentation and Registration Toolkit
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#include <itkQuaternionRigidTransform.h>
QuaternionRigidTransform of a vector space (e.g. space coordinates).
This transform applies a rotation and translation to the space given a quaternion and a 3D translation. Rotation is about a user specified center.
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 4 elements are the components of the quaternion representation of 3D rotation. The last 3 parameters defines the translation in each dimension.
The serialization of the fixed parameters is an array of 3 elements defining the center of rotation.
Definition at line 49 of file itkQuaternionRigidTransform.h.
Public Types | |
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::OutputVectorValueType | OutputVectorValueType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef Superclass::ParametersValueType | ParametersValueType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::ScalarType | ScalarType |
typedef QuaternionRigidTransform | Self |
typedef Rigid3DTransform < TScalarType > | Superclass |
typedef Superclass::TranslationType | TranslationType |
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 Attributes | |
static const unsigned int | InputSpaceDimension = 3 |
static const unsigned int | OutputSpaceDimension = 3 |
static const unsigned int | SpaceDimension = 3 |
static const unsigned int | ParametersDimension = 7 |
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 &) |
QuaternionRigidTransform (const Self &) | |
Private Attributes | |
VnlQuaternionType | m_Rotation |
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::CenterType itk::QuaternionRigidTransform< TScalarType >::CenterType |
Definition at line 88 of file itkQuaternionRigidTransform.h.
typedef SmartPointer<const Self> itk::QuaternionRigidTransform< TScalarType >::ConstPointer |
Definition at line 57 of file itkQuaternionRigidTransform.h.
typedef Superclass::InputCovariantVectorType itk::QuaternionRigidTransform< TScalarType >::InputCovariantVectorType |
Definition at line 84 of file itkQuaternionRigidTransform.h.
typedef Superclass::InputPointType itk::QuaternionRigidTransform< TScalarType >::InputPointType |
Definition at line 77 of file itkQuaternionRigidTransform.h.
typedef Superclass::InputVectorType itk::QuaternionRigidTransform< TScalarType >::InputVectorType |
Definition at line 79 of file itkQuaternionRigidTransform.h.
typedef Superclass::InputVnlVectorType itk::QuaternionRigidTransform< TScalarType >::InputVnlVectorType |
Definition at line 82 of file itkQuaternionRigidTransform.h.
typedef Superclass::InverseMatrixType itk::QuaternionRigidTransform< TScalarType >::InverseMatrixType |
Definition at line 87 of file itkQuaternionRigidTransform.h.
typedef Superclass::JacobianType itk::QuaternionRigidTransform< TScalarType >::JacobianType |
Definition at line 75 of file itkQuaternionRigidTransform.h.
typedef Superclass::MatrixType itk::QuaternionRigidTransform< TScalarType >::MatrixType |
Definition at line 86 of file itkQuaternionRigidTransform.h.
typedef Superclass::OffsetType itk::QuaternionRigidTransform< TScalarType >::OffsetType |
Definition at line 89 of file itkQuaternionRigidTransform.h.
typedef Superclass::OutputCovariantVectorType itk::QuaternionRigidTransform< TScalarType >::OutputCovariantVectorType |
Definition at line 85 of file itkQuaternionRigidTransform.h.
typedef Superclass::OutputPointType itk::QuaternionRigidTransform< TScalarType >::OutputPointType |
Definition at line 78 of file itkQuaternionRigidTransform.h.
typedef Superclass::OutputVectorType itk::QuaternionRigidTransform< TScalarType >::OutputVectorType |
Definition at line 80 of file itkQuaternionRigidTransform.h.
typedef Superclass::OutputVectorValueType itk::QuaternionRigidTransform< TScalarType >::OutputVectorValueType |
Definition at line 81 of file itkQuaternionRigidTransform.h.
typedef Superclass::OutputVnlVectorType itk::QuaternionRigidTransform< TScalarType >::OutputVnlVectorType |
Definition at line 83 of file itkQuaternionRigidTransform.h.
typedef Superclass::ParametersType itk::QuaternionRigidTransform< TScalarType >::ParametersType |
Parameters Type
Definition at line 73 of file itkQuaternionRigidTransform.h.
typedef Superclass::ParametersValueType itk::QuaternionRigidTransform< TScalarType >::ParametersValueType |
Definition at line 74 of file itkQuaternionRigidTransform.h.
typedef SmartPointer<Self> itk::QuaternionRigidTransform< TScalarType >::Pointer |
Definition at line 56 of file itkQuaternionRigidTransform.h.
typedef Superclass::ScalarType itk::QuaternionRigidTransform< TScalarType >::ScalarType |
Definition at line 76 of file itkQuaternionRigidTransform.h.
typedef QuaternionRigidTransform itk::QuaternionRigidTransform< TScalarType >::Self |
Standard class typedefs.
Definition at line 54 of file itkQuaternionRigidTransform.h.
typedef Rigid3DTransform<TScalarType> itk::QuaternionRigidTransform< TScalarType >::Superclass |
Definition at line 55 of file itkQuaternionRigidTransform.h.
typedef Superclass::TranslationType itk::QuaternionRigidTransform< TScalarType >::TranslationType |
Definition at line 90 of file itkQuaternionRigidTransform.h.
typedef vnl_quaternion<TScalarType> itk::QuaternionRigidTransform< TScalarType >::VnlQuaternionType |
VnlQuaternion type.
Definition at line 93 of file itkQuaternionRigidTransform.h.
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Definition at line 133 of file itkQuaternionRigidTransform.h.
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Compute the Jacobian of the transformation. 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.
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Reimplemented from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.
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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::Rigid3DTransform< TScalarType >.
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Get the Transformation Parameters.
Reimplemented from itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >.
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Get the rotation from an QuaternionRigidTransform. This method returns the value of the rotation of the QuaternionRigidTransform.
Definition at line 105 of file itkQuaternionRigidTransform.h.
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New macro for creation of through a Smart Pointer
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Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.
Reimplemented from itk::Object.
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Set the parameters to the IdentityTransform
Reimplemented from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.
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Set the transformation from a container of parameters. This is typically used by optimizers. There are 7 parameters. The first four represents the quaternion and the last three represents the offset.
Reimplemented from itk::Rigid3DTransform< TScalarType >.
void itk::QuaternionRigidTransform< TScalarType >::SetRotation | ( | const VnlQuaternionType & | rotation | ) |
Compute the Jacobian Matrix of the transformation at one point Set the rotation of the rigid transform. This method sets the rotation of a QuaternionRigidTransform to a value specified by the user.
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Definition at line 141 of file itkQuaternionRigidTransform.h.
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Dimension of parameters
Definition at line 66 of file itkQuaternionRigidTransform.h.
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Rotation of the transformation.
Definition at line 155 of file itkQuaternionRigidTransform.h.
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Dimension of parameters
Definition at line 67 of file itkQuaternionRigidTransform.h.
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Dimension of parameters
Definition at line 69 of file itkQuaternionRigidTransform.h.
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Dimension of parameters
Definition at line 68 of file itkQuaternionRigidTransform.h.