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/*========================================================================= |
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Program: Insight Segmentation & Registration Toolkit |
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Module: $RCSfile: itkThinPlateR2LogRSplineKernelTransform.h.html,v $ |
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Language: C++ |
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Date: $Date: 2006/01/17 19:15:48 $ |
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Version: $Revision: 1.4 $ |
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Copyright (c) Insight Software Consortium. All rights reserved. |
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See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details. |
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This software is distributed WITHOUT ANY WARRANTY; without even |
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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PURPOSE. See the above copyright notices for more information. |
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=========================================================================*/ |
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#ifndef __itkThinPlateR2LogRSplineKernelTransform_h |
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#define __itkThinPlateR2LogRSplineKernelTransform_h |
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#include "itkKernelTransform.h" |
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namespace itk |
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{ |
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/** \class ThinPlateR2LogRSplineKernelTransform |
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* This class defines the thin plate spline (TPS) transformation. |
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* It is implemented in as straightforward a manner as possible from |
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* the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, |
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* Vol. 16 No. 3 June 1997. |
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* |
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* The kernel used in this variant of TPS is \f$ R^2 log(R) \f$ |
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* |
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* \ingroup Transforms |
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*/ |
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template <class TScalarType, // Data type for scalars (float or double) |
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unsigned int NDimensions = 3> // Number of dimensions |
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class ITK_EXPORT ThinPlateR2LogRSplineKernelTransform : |
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****************public KernelTransform< TScalarType, NDimensions> |
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{ |
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public: |
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/** Standard class typedefs. */ |
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typedef ThinPlateR2LogRSplineKernelTransform Self; |
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TDA |
typedef KernelTransform< TScalarType, NDimensions> Superclass; |
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TDA |
typedef SmartPointer<Self> Pointer; |
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TDA |
typedef SmartPointer<const Self> ConstPointer; |
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/** New macro for creation of through a Smart Pointer */ |
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itkNewMacro( Self ); |
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/** Run-time type information (and related methods). */ |
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itkTypeMacro( ThinPlateR2LogRSplineKernelTransform, KernelTransform ); |
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/** Scalar type. */ |
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typedef typename Superclass::ScalarType ScalarType; |
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/** Parameters type. */ |
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typedef typename Superclass::ParametersType ParametersType; |
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/** Jacobian Type */ |
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typedef typename Superclass::JacobianType JacobianType; |
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/** Dimension of the domain space. */ |
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itkStaticConstMacro(SpaceDimension, unsigned int,Superclass::SpaceDimension); |
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/** These (rather redundant) typedefs are needed because on SGI, typedefs |
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* are not inherited */ |
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typedef typename Superclass::InputPointType InputPointType; |
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typedef typename Superclass::OutputPointType OutputPointType; |
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typedef typename Superclass::InputVectorType InputVectorType; |
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typedef typename Superclass::OutputVectorType OutputVectorType; |
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LEN,TDA |
typedef typename Superclass::InputCovariantVectorType InputCovariantVectorType; |
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LEN,TDA |
typedef typename Superclass::OutputCovariantVectorType OutputCovariantVectorType; |
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typedef typename Superclass::PointsIterator PointsIterator; |
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protected: |
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ThinPlateR2LogRSplineKernelTransform() {}; |
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virtual ~ThinPlateR2LogRSplineKernelTransform() {} |
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/** These (rather redundant) typedefs are needed because on SGI, typedefs |
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* are not inherited. */ |
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typedef typename Superclass::GMatrixType GMatrixType; |
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/** Compute G(x) |
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* For the thin plate spline, this is: |
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* G(x) = r(x)*I |
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* \f$ G(x) = r(x)^2 log( r(x) ) *I \f$ |
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* where |
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* r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2] |
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* \f[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \f] |
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* I = identity matrix. */ |
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const GMatrixType & ComputeG(const InputVectorType & x) const; |
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/** Compute the contribution of the landmarks weighted by the kernel funcion |
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******to the global deformation of the space */ |
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virtual void ComputeDeformationContribution( const InputPointType & inputPoint, |
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OutputPointType & result ) const; |
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*private: |
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ThinPlateR2LogRSplineKernelTransform(const Self&); //purposely not implemented |
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void operator=(const Self&); //purposely not implemented |
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}; |
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} // namespace itk |
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#ifndef ITK_MANUAL_INSTANTIATION |
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#include "itkThinPlateR2LogRSplineKernelTransform.txx" |
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#endif |
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#endif // __itkThinPlateR2LogRSplineKernelTransform_h |
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