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/*=========================================================================
*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#ifndef __itkThinPlateSplineKernelTransform_h
#define __itkThinPlateSplineKernelTransform_h
#include "itkKernelTransform.h"
namespace itk
{
/** \class ThinPlateSplineKernelTransform
* 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
*
* \ingroup ITKTransform
*/
template< typename TScalar, // Data type for scalars (float or double)
unsigned int NDimensions = 3 >
// Number of dimensions
class ThinPlateSplineKernelTransform:
public KernelTransform< TScalar, NDimensions >
{
public:
/** Standard class typedefs. */
typedef ThinPlateSplineKernelTransform Self;
typedef KernelTransform< TScalar, 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(ThinPlateSplineKernelTransform, 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 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:
ThinPlateSplineKernelTransform() {}
virtual ~ThinPlateSplineKernelTransform() {}
/** These (rather redundant) typedefs are needed because 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)*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;
/** 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:
ThinPlateSplineKernelTransform(const Self &); //purposely not implemented
void operator=(const Self &); //purposely not implemented
};
} // namespace itk
#ifndef ITK_MANUAL_INSTANTIATION
#include "itkThinPlateSplineKernelTransform.hxx"
#endif
#endif // __itkThinPlateSplineKernelTransform_h
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