ITK
4.2.0
Insight Segmentation and Registration Toolkit
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#include <itkElasticBodyReciprocalSplineKernelTransform.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::ScalarType | ScalarType |
typedef ElasticBodyReciprocalSplineKernelTransform | 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 vnl_matrix< TScalarType > | DMatrixType |
typedef vnl_matrix_fixed < TScalarType, NDimensions, NDimensions > | IMatrixType |
typedef Superclass::InputVnlVectorType | InputVnlVectorType |
typedef vnl_matrix< TScalarType > | KMatrixType |
typedef vnl_matrix< TScalarType > | LMatrixType |
typedef Superclass::OutputVnlVectorType | OutputVnlVectorType |
typedef vnl_matrix< TScalarType > | PMatrixType |
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 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 Array < ParametersValueType > | DerivativeType |
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | DirectionChangeMatrix |
typedef DiffusionTensor3D < TScalarType > | InputDiffusionTensor3DType |
typedef Matrix< double, itkGetStaticConstMacro(InputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | InputDirectionMatrix |
typedef SymmetricSecondRankTensor < TScalarType, NInputDimensions > | InputSymmetricSecondRankTensorType |
typedef VariableLengthVector < TScalarType > | InputVectorPixelType |
typedef InverseTransformBaseType::Pointer | InverseTransformBasePointer |
typedef Transform< TScalarType, NOutputDimensions, NInputDimensions > | InverseTransformBaseType |
typedef Matrix< TScalarType, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(InputSpaceDimension)> | MatrixType |
typedef Superclass::NumberOfParametersType | NumberOfParametersType |
typedef DiffusionTensor3D < TScalarType > | OutputDiffusionTensor3DType |
typedef Matrix< double, itkGetStaticConstMacro(OutputSpaceDimension), itkGetStaticConstMacro(OutputSpaceDimension)> | OutputDirectionMatrix |
typedef SymmetricSecondRankTensor < TScalarType, NOutputDimensions > | OutputSymmetricSecondRankTensorType |
typedef VariableLengthVector < TScalarType > | OutputVectorPixelType |
typedef Superclass::ParametersValueType | ParametersValueType |
Public Types inherited from itk::TransformBase | |
Public Types inherited from itk::Object | |
Public Types inherited from itk::LightObject |
Static Public Member Functions | |
static Pointer | New () |
Static Public Attributes | |
static const unsigned int | SpaceDimension = Superclass::SpaceDimension |
Static Public Attributes inherited from itk::KernelTransform< TScalarType, 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 |
Additional Inherited Members |
This class defines the elastic body spline (EBS) 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 Taken from the paper: The EBS "is based on a physical model of a homogeneous, isotropic, three-dimensional elastic body. The model can approximate the way that some physical objects deform".
Definition at line 41 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef SmartPointer< const Self > itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::ConstPointer |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 51 of file itkElasticBodyReciprocalSplineKernelTransform.h.
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'G' matrix typedef.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 90 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::InputCovariantVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::InputCovariantVectorType |
Standard covariant vector type for this class
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 83 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::InputPointType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::InputPointType |
Standard coordinate point type for this class.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 77 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::InputVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::InputVectorType |
Standard vector type for this class.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 81 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::JacobianType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::JacobianType |
Jacobian type.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 66 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::OutputCovariantVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::OutputCovariantVectorType |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 84 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::OutputPointType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::OutputPointType |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 80 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::OutputVectorType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::OutputVectorType |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 82 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::ParametersType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::ParametersType |
Parameters type.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 63 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef SmartPointer< Self > itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::Pointer |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 50 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef Superclass::ScalarType itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::ScalarType |
Scalar type.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 57 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef ElasticBodyReciprocalSplineKernelTransform itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::Self |
Standard class typedefs.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 46 of file itkElasticBodyReciprocalSplineKernelTransform.h.
typedef KernelTransform< TScalarType, NDimensions > itk::ElasticBodyReciprocalSplineKernelTransform< TScalarType, NDimensions >::Superclass |
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 48 of file itkElasticBodyReciprocalSplineKernelTransform.h.
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alpha, Poisson's ratio
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Compute G(x) For the elastic body spline, this is: G(x) = [alpha*r(x)*I - 3*x*x'/r(x)] where is Poisson's Ratio r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]
I = identity matrix
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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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Get alpha
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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
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
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alpha, Poisson's ratio
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
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Stiffness of the spline. A stiffness of zero results in the standard interpolating spline. A non-zero stiffness allows the spline to approximate rather than interpolate the landmarks. Stiffness values are usually rather small, typically in the range of 0.001 to 0.1. The approximating spline formulation is based on the short paper by R. Sprengel, K. Rohr, H. Stiehl. "Thin-Plate Spline Approximation for Image Registration". In 18th International Conference of the IEEE Engineering in Medicine and Biology Society. 1996.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
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Set alpha. Alpha is related to Poisson's Ratio ( ) as
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alpha, Poisson's ratio
Definition at line 104 of file itkElasticBodyReciprocalSplineKernelTransform.h.
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Dimension of the domain space.
Reimplemented from itk::KernelTransform< TScalarType, NDimensions >.
Definition at line 69 of file itkElasticBodyReciprocalSplineKernelTransform.h.