ITK
4.4.0
Insight Segmentation and Registration Toolkit
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#include <itkThinPlateR2LogRSplineKernelTransform.h>
This class defines the thin plate spline (TPS) transformation. It is implemented in as straightforward a manner as possible from the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, Vol. 16 No. 3 June 1997.
The kernel used in this variant of TPS is
Definition at line 38 of file itkThinPlateR2LogRSplineKernelTransform.h.
Public Types | |
typedef SmartPointer< const Self > | ConstPointer |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::JacobianType | JacobianType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef SmartPointer< Self > | Pointer |
typedef Superclass::PointsIterator | PointsIterator |
typedef Superclass::ScalarType | ScalarType |
typedef ThinPlateR2LogRSplineKernelTransform | Self |
typedef KernelTransform < TScalarType, NDimensions > | Superclass |
Public Types inherited from itk::KernelTransform< TScalarType, NDimensions > | |
typedef vnl_matrix_fixed < TScalarType, NDimensions, NDimensions > | AMatrixType |
typedef vnl_vector_fixed < TScalarType, NDimensions > | BMatrixType |
typedef vnl_matrix_fixed < TScalarType, NDimensions, 1 > | ColumnMatrixType |
typedef SmartPointer< const Self > | ConstPointer |
typedef vnl_matrix< TScalarType > | DMatrixType |
typedef vnl_matrix_fixed < TScalarType, NDimensions, NDimensions > | GMatrixType |
typedef vnl_matrix_fixed < TScalarType, NDimensions, NDimensions > | IMatrixType |
typedef Superclass::InputCovariantVectorType | InputCovariantVectorType |
typedef Superclass::InputPointType | InputPointType |
typedef Superclass::InputVectorType | InputVectorType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef Superclass::JacobianType | JacobianType |
typedef vnl_matrix< TScalarType > | KMatrixType |
typedef vnl_matrix< TScalarType > | LMatrixType |
typedef Superclass::OutputCovariantVectorType | OutputCovariantVectorType |
typedef Superclass::OutputPointType | OutputPointType |
typedef Superclass::OutputVectorType | OutputVectorType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef Superclass::ParametersType | ParametersType |
typedef vnl_matrix< TScalarType > | PMatrixType |
typedef SmartPointer< Self > | Pointer |
typedef PointSetType::PointIdentifier | PointIdentifier |
typedef PointSetType::PointsContainerConstIterator | PointsConstIterator |
typedef PointSetType::PointsContainer | PointsContainer |
typedef PointSetType::Pointer | PointSetPointer |
typedef DefaultStaticMeshTraits < TScalarType, NDimensions, NDimensions, TScalarType, TScalarType > | PointSetTraitsType |
typedef PointSet < InputPointType, NDimensions, PointSetTraitsType > | PointSetType |
typedef PointSetType::PointsContainerIterator | PointsIterator |
typedef vnl_matrix_fixed < TScalarType, 1, NDimensions > | RowMatrixType |
typedef Superclass::ScalarType | ScalarType |
typedef KernelTransform | Self |
typedef Transform< TScalarType, NDimensions, NDimensions > | Superclass |
typedef Superclass::TransformCategoryType | TransformCategoryType |
typedef VectorSetType::Pointer | VectorSetPointer |
typedef itk::VectorContainer < SizeValueType, InputVectorType > | VectorSetType |
typedef vnl_matrix< TScalarType > | WMatrixType |
typedef vnl_matrix< TScalarType > | YMatrixType |
Public Types inherited from itk::Transform< TScalarType, NDimensions, NDimensions > | |
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::KernelTransform< TScalarType, NDimensions > | |
static Pointer | New () |
Static Public Attributes | |
static const unsigned int | SpaceDimension = Superclass::SpaceDimension |
Static Public Attributes inherited from itk::KernelTransform< TScalarType, NDimensions > | |
static const unsigned int | SpaceDimension = NDimensions |
Static Public Attributes inherited from itk::Transform< TScalarType, NDimensions, NDimensions > | |
static const unsigned int | InputSpaceDimension |
static const unsigned int | OutputSpaceDimension |
Protected Types | |
typedef Superclass::GMatrixType | GMatrixType |
Private Member Functions | |
void | operator= (const Self &) |
ThinPlateR2LogRSplineKernelTransform (const Self &) | |
Additional Inherited Members | |
Protected Attributes inherited from itk::KernelTransform< TScalarType, NDimensions > | |
AMatrixType | m_AMatrix |
BMatrixType | m_BVector |
VectorSetPointer | m_Displacements |
DMatrixType | m_DMatrix |
GMatrixType | m_GMatrix |
IMatrixType | m_I |
KMatrixType | m_KMatrix |
LMatrixType | m_LMatrix |
PMatrixType | m_PMatrix |
PointSetPointer | m_SourceLandmarks |
double | m_Stiffness |
PointSetPointer | m_TargetLandmarks |
WMatrixType | m_WMatrix |
bool | m_WMatrixComputed |
YMatrixType | m_YMatrix |
typedef SmartPointer< const Self > itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ConstPointer |
Definition at line 46 of file itkThinPlateR2LogRSplineKernelTransform.h.
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protected |
Definition at line 78 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::InputCovariantVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::InputCovariantVectorType |
Definition at line 70 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::InputPointType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::InputPointType |
Definition at line 66 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::InputVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::InputVectorType |
Definition at line 68 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::JacobianType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::JacobianType |
Jacobian Type
Definition at line 61 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::OutputCovariantVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType |
Definition at line 71 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::OutputPointType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputPointType |
Definition at line 67 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::OutputVectorType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::OutputVectorType |
Definition at line 69 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::ParametersType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ParametersType |
Parameters type.
Definition at line 58 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef SmartPointer< Self > itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Pointer |
Definition at line 45 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::PointsIterator itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::PointsIterator |
Definition at line 72 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef Superclass::ScalarType itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::ScalarType |
Scalar type.
Definition at line 52 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef ThinPlateR2LogRSplineKernelTransform itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Self |
Standard class typedefs.
Definition at line 43 of file itkThinPlateR2LogRSplineKernelTransform.h.
typedef KernelTransform< TScalarType, NDimensions > itk::ThinPlateR2LogRSplineKernelTransform< TScalarType, NDimensions >::Superclass |
Definition at line 44 of file itkThinPlateR2LogRSplineKernelTransform.h.
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Definition at line 75 of file itkThinPlateR2LogRSplineKernelTransform.h.
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Definition at line 76 of file itkThinPlateR2LogRSplineKernelTransform.h.
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Compute the contribution of the landmarks weighted by the kernel funcion to the global deformation of the space
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
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Compute G(x) For the thin plate spline, this is: G(x) = r(x)*I where r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]
I = identity matrix.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
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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::KernelTransform< TScalarType, NDimensions >.
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Run-time type information (and related methods).
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
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New macro for creation of through a Smart Pointer
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Dimension of the domain space.
Definition at line 64 of file itkThinPlateR2LogRSplineKernelTransform.h.