itk::DiffusionTensor3DFSAffineTransform< TData > Class Template Reference

#include <itkDiffusionTensor3DFSAffineTransform.h>

Inheritance diagram for itk::DiffusionTensor3DFSAffineTransform< TData >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef TData	DataType
typedef Superclass::InternalMatrixTransformType	InternalMatrixTransformType
typedef Superclass::MatrixTransformType	MatrixTransformType
typedef SmartPointer< Self >	Pointer
typedef DiffusionTensor3DFSAffineTransform	Self
typedef DiffusionTensor3DAffineTransform < DataType >	Superclass
Public Member Functions
	itkNewMacro (Self)
Protected Member Functions
void	PreCompute ()
Private Member Functions
MatrixTransformType	ComputeMatrixSquareRoot (MatrixTransformType matrix)
MatrixTransformType	ComputeRotationMatrixFromTransformationMatrix ()

Detailed Description

template<class TData>
class itk::DiffusionTensor3DFSAffineTransform< TData >

This class implements an affine transformation for diffusion tensors. It implements the Finite Strain method presented in the following paper: D.C. Alexander, Member IEEE, C. Pierpaoli, P.J. Basser and J.C Gee: Spatial Transformations of Diffusion Tensor Magnetic Resonance Images, IEEE Transactions on Medical Imaging, Vol 20, No. 11, November 2001

Any nonsingular matrix F can be decomposed into a rigid rotation component R, and a deformation component U, where: F=UR

The tensor position is computed by the given affine transformation F but the tensor is transformed by the extracted rotation matrix R where R=(FF_{T}^{-1/2}F

This class implements an affine transformation for diffusion tensors. It implements the Preservation of Principal Direction method presented in the following paper: D.C. Alexander, Member IEEE, C. Pierpaoli, P.J. Basser and J.C Gee: Spatial Transformations of Diffusion Tensor Magnetic Resonance Images, IEEE Transactions on Medical Imaging, Vol 20, No. 11, November 2001