ITK
4.4.0
Insight Segmentation and Registration Toolkit
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#include <itkRigid3DTransform.h>
Rigid3DTransform of a vector space (e.g. space coordinates)
This transform applies a rotation and translation in 3D space. The transform is specified as a rotation matrix around a arbitrary center and is followed by a 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 12 elements. The first 9 parameters represents the rotation matrix in row-major order (where the column index varies the fastest). 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 in each dimension.
The Rigid3DTransform is intended to be a base class that defines a consistent family of transform types that respect rigid transformations. Only classes that derive from Rigid3DTransform should be used.
Definition at line 58 of file itkRigid3DTransform.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 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 Attributes | |
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 &) |
Rigid3DTransform (const Self &) | |
Additional Inherited Members | |
Static Public Member Functions inherited from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 > | |
static Pointer | New () |
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::Rigid3DTransform< TScalarType >::CenterType |
Definition at line 99 of file itkRigid3DTransform.h.
typedef SmartPointer< const Self > itk::Rigid3DTransform< TScalarType >::ConstPointer |
Definition at line 66 of file itkRigid3DTransform.h.
typedef Superclass::InputCovariantVectorType itk::Rigid3DTransform< TScalarType >::InputCovariantVectorType |
Definition at line 90 of file itkRigid3DTransform.h.
typedef Superclass::InputPointType itk::Rigid3DTransform< TScalarType >::InputPointType |
Definition at line 94 of file itkRigid3DTransform.h.
typedef Superclass::InputVectorType itk::Rigid3DTransform< TScalarType >::InputVectorType |
Definition at line 87 of file itkRigid3DTransform.h.
typedef Superclass::InputVnlVectorType itk::Rigid3DTransform< TScalarType >::InputVnlVectorType |
Definition at line 92 of file itkRigid3DTransform.h.
typedef Superclass::InverseMatrixType itk::Rigid3DTransform< TScalarType >::InverseMatrixType |
Definition at line 97 of file itkRigid3DTransform.h.
typedef InverseTransformBaseType::Pointer itk::Rigid3DTransform< TScalarType >::InverseTransformBasePointer |
Definition at line 106 of file itkRigid3DTransform.h.
typedef Superclass::InverseTransformBaseType itk::Rigid3DTransform< TScalarType >::InverseTransformBaseType |
Base inverse transform type. This type should not be changed to the concrete inverse transform type or inheritance would be lost.
Definition at line 105 of file itkRigid3DTransform.h.
typedef Superclass::JacobianType itk::Rigid3DTransform< TScalarType >::JacobianType |
Definition at line 85 of file itkRigid3DTransform.h.
typedef Superclass::MatrixType itk::Rigid3DTransform< TScalarType >::MatrixType |
Definition at line 96 of file itkRigid3DTransform.h.
typedef Superclass::MatrixValueType itk::Rigid3DTransform< TScalarType >::MatrixValueType |
Definition at line 98 of file itkRigid3DTransform.h.
typedef Superclass::OffsetType itk::Rigid3DTransform< TScalarType >::OffsetType |
Definition at line 101 of file itkRigid3DTransform.h.
typedef Superclass::OutputCovariantVectorType itk::Rigid3DTransform< TScalarType >::OutputCovariantVectorType |
Definition at line 91 of file itkRigid3DTransform.h.
typedef Superclass::OutputPointType itk::Rigid3DTransform< TScalarType >::OutputPointType |
Definition at line 95 of file itkRigid3DTransform.h.
typedef Superclass::OutputVectorType itk::Rigid3DTransform< TScalarType >::OutputVectorType |
Definition at line 88 of file itkRigid3DTransform.h.
typedef Superclass::OutputVectorValueType itk::Rigid3DTransform< TScalarType >::OutputVectorValueType |
Definition at line 89 of file itkRigid3DTransform.h.
typedef Superclass::OutputVnlVectorType itk::Rigid3DTransform< TScalarType >::OutputVnlVectorType |
Definition at line 93 of file itkRigid3DTransform.h.
typedef Superclass::ParametersType itk::Rigid3DTransform< TScalarType >::ParametersType |
Definition at line 83 of file itkRigid3DTransform.h.
typedef Superclass::ParametersValueType itk::Rigid3DTransform< TScalarType >::ParametersValueType |
Definition at line 84 of file itkRigid3DTransform.h.
typedef SmartPointer< Self > itk::Rigid3DTransform< TScalarType >::Pointer |
Definition at line 65 of file itkRigid3DTransform.h.
typedef Superclass::ScalarType itk::Rigid3DTransform< TScalarType >::ScalarType |
Definition at line 86 of file itkRigid3DTransform.h.
typedef Rigid3DTransform itk::Rigid3DTransform< TScalarType >::Self |
Standard class typedefs.
Definition at line 63 of file itkRigid3DTransform.h.
typedef MatrixOffsetTransformBase< TScalarType, 3, 3 > itk::Rigid3DTransform< TScalarType >::Superclass |
Definition at line 64 of file itkRigid3DTransform.h.
typedef Superclass::TranslationType itk::Rigid3DTransform< TScalarType >::TranslationType |
Definition at line 100 of file itkRigid3DTransform.h.
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Run-time type information (and related methods).
Reimplemented from itk::MatrixOffsetTransformBase< TScalarType, 3, 3 >.
Reimplemented in itkv3::Rigid3DTransform< TScalarType >, itk::QuaternionRigidTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Euler3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, and itk::CenteredEuler3DTransform< TScalarType >.
itk::Rigid3DTransform< TScalarType >::itkLegacyMacro | ( | InputPointType BackTransform(const OutputPointType &point) | const | ) |
Back transform by an affine transformation
This method finds the point or vector that maps to a given point or vector under the affine transformation defined by self. If no such point exists, an exception is thrown.
itk::Rigid3DTransform< TScalarType >::itkLegacyMacro | ( | InputVectorType BackTransform(const OutputVectorType &vector) | const | ) |
Back transform by an affine transformation
This method finds the point or vector that maps to a given point or vector under the affine transformation defined by self. If no such point exists, an exception is thrown.
itk::Rigid3DTransform< TScalarType >::itkLegacyMacro | ( | InputVnlVectorType BackTransform(const OutputVnlVectorType &vector) | const | ) |
Back transform by an affine transformation
This method finds the point or vector that maps to a given point or vector under the affine transformation defined by self. If no such point exists, an exception is thrown.
itk::Rigid3DTransform< TScalarType >::itkLegacyMacro | ( | InputCovariantVectorType BackTransform(const OutputCovariantVectorType &vector) | const | ) |
Back transform by an affine transformation
This method finds the point or vector that maps to a given point or vector under the affine transformation defined by self. If no such point exists, an exception is thrown.
bool itk::Rigid3DTransform< TScalarType >::MatrixIsOrthogonal | ( | const MatrixType & | matrix, |
double | tol = 1e-10 |
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Utility function to test if a matrix is orthogonal within a specified tolerance
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Print contents of an Rigid3DTransform
Reimplemented from itk::Object.
Reimplemented in itk::VersorTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, and itk::VersorRigid3DTransform< TScalarType >.
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Directly set the rotation matrix of the transform.
Reimplemented in itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, and itk::ScaleVersor3DTransform< TScalarType >.
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Set the transformation from a container of parameters This is typically used by optimizers. There are 12 parameters. The first 9 represents the rotation matrix is row-major order and the last 3 represents the translation.
Implements itk::Transform< TScalarType, NInputDimensions, NOutputDimensions >.
Reimplemented in itk::QuaternionRigidTransform< TScalarType >, itk::ScaleSkewVersor3DTransform< TScalarType >, itk::Similarity3DTransform< TScalarType >, itk::VersorTransform< TScalarType >, itk::ScaleVersor3DTransform< TScalarType >, itk::VersorRigid3DTransform< TScalarType >, itk::CenteredEuler3DTransform< TScalarType >, and itk::Euler3DTransform< TScalarType >.
void itk::Rigid3DTransform< TScalarType >::Translate | ( | const OffsetType & | offset, |
bool | pre = false |
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Compose the transformation with a translation
This method modifies self to include a translation of the origin. The translation is precomposed with self if pre is true, and postcomposed otherwise.
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Dimension of the space.
Definition at line 78 of file itkRigid3DTransform.h.
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Dimension of the space.
Definition at line 79 of file itkRigid3DTransform.h.
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Dimension of the space.
Definition at line 80 of file itkRigid3DTransform.h.
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Dimension of the space.
Definition at line 77 of file itkRigid3DTransform.h.