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/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkThinPlateR2LogRSplineKernelTransform.h,v $
Language: C++
Date: $Date: 2007-12-20 17:10:46 $
Version: $Revision: 1.12 $
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
#ifndef __itkThinPlateR2LogRSplineKernelTransform_h
#define __itkThinPlateR2LogRSplineKernelTransform_h
#include "itkKernelTransform.h"
namespace itk
{
/** \class ThinPlateR2LogRSplineKernelTransform
* 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 \f$ R^2 log(R) \f$
*
* \ingroup Transforms
*/
template <class TScalarType, // Data type for scalars (float or double)
unsigned int NDimensions = 3> // Number of dimensions
class ITK_EXPORT ThinPlateR2LogRSplineKernelTransform :
public KernelTransform< TScalarType, NDimensions>
{
public:
/** Standard class typedefs. */
typedef ThinPlateR2LogRSplineKernelTransform Self;
typedef KernelTransform< TScalarType, NDimensions> Superclass;
typedef SmartPointer<Self> Pointer;
typedef SmartPointer<const Self> ConstPointer;
/** New macro for creation of through a Smart Pointer */
itkNewMacro( Self );
/** Run-time type information (and related methods). */
itkTypeMacro( ThinPlateR2LogRSplineKernelTransform, KernelTransform );
/** Scalar type. */
typedef typename Superclass::ScalarType ScalarType;
/** Parameters type. */
typedef typename Superclass::ParametersType ParametersType;
/** Jacobian Type */
typedef typename Superclass::JacobianType JacobianType;
/** Dimension of the domain space. */
itkStaticConstMacro(SpaceDimension, unsigned int,Superclass::SpaceDimension);
/** These (rather redundant) typedefs are needed because on SGI, typedefs
* are not inherited */
typedef typename Superclass::InputPointType InputPointType;
typedef typename Superclass::OutputPointType OutputPointType;
typedef typename Superclass::InputVectorType InputVectorType;
typedef typename Superclass::OutputVectorType OutputVectorType;
typedef typename Superclass::InputCovariantVectorType InputCovariantVectorType;
typedef typename Superclass::OutputCovariantVectorType OutputCovariantVectorType;
typedef typename Superclass::PointsIterator PointsIterator;
protected:
ThinPlateR2LogRSplineKernelTransform() {};
virtual ~ThinPlateR2LogRSplineKernelTransform() {}
/** These (rather redundant) typedefs are needed because on SGI, typedefs
* are not inherited. */
typedef typename Superclass::GMatrixType GMatrixType;
/** Compute G(x)
* For the thin plate spline, this is:
* G(x) = r(x)*I
* \f$ G(x) = r(x)^2 log(r(x) ) *I \f$
* where
* r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2]
* \f[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \f]
* I = identity matrix. */
virtual void ComputeG(const InputVectorType& landmarkVector, GMatrixType & gmatrix) const;
/**
* \deprecated in ITK 3.6, please use void ComputeG(vector,gmatrix) instead.
*/
itkLegacyMacro( virtual const GMatrixType & ComputeG(const InputVectorType& landmarkVector) const );
/** Compute the contribution of the landmarks weighted by the kernel funcion
to the global deformation of the space */
virtual void ComputeDeformationContribution( const InputPointType & inputPoint,
OutputPointType & result ) const;
private:
ThinPlateR2LogRSplineKernelTransform(const Self&); //purposely not implemented
void operator=(const Self&); //purposely not implemented
};
} // namespace itk
// Define instantiation macro for this template.
#define ITK_TEMPLATE_ThinPlateR2LogRSplineKernelTransform(_, EXPORT, x, y) namespace itk { \
_(2(class EXPORT ThinPlateR2LogRSplineKernelTransform< ITK_TEMPLATE_2 x >)) \
namespace Templates { typedef ThinPlateR2LogRSplineKernelTransform< ITK_TEMPLATE_2 x > \
ThinPlateR2LogRSplineKernelTransform##y; } \
}
#if ITK_TEMPLATE_EXPLICIT
# include "Templates/itkThinPlateR2LogRSplineKernelTransform+-.h"
#endif
#if ITK_TEMPLATE_TXX
# include "itkThinPlateR2LogRSplineKernelTransform.txx"
#endif
#endif // __itkThinPlateR2LogRSplineKernelTransform_h
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