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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 itkVolumeSplineKernelTransform_h
#define itkVolumeSplineKernelTransform_h
#include "itkKernelTransform.h"
namespace itk
{
/** \class VolumeSplineKernelTransform
* 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 TParametersValueType,
unsigned int NDimensions=3>
// Number of dimensions
class ITK_TEMPLATE_EXPORT VolumeSplineKernelTransform:
public KernelTransform<TParametersValueType, NDimensions>
{
public:
/** Standard class typedefs. */
typedef VolumeSplineKernelTransform Self;
typedef KernelTransform<TParametersValueType, 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(VolumeSplineKernelTransform, KernelTransform);
/** Scalar type. */
typedef typename Superclass::ScalarType ScalarType;
/** Parameters type. */
typedef typename Superclass::ParametersType ParametersType;
typedef typename Superclass::FixedParametersType FixedParametersType;
/** 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:
VolumeSplineKernelTransform() {}
virtual ~VolumeSplineKernelTransform() ITK_OVERRIDE {}
/** These (rather redundant) typedefs are needed because on typedefs are not inherited. */
typedef typename Superclass::GMatrixType GMatrixType;
/** Compute G(x)
* For the volume plate spline, this is:
* G(x) = r(x)^3*I
* \f$ G(x) = r(x)^3*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 ITK_OVERRIDE;
/** 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 ITK_OVERRIDE;
private:
ITK_DISALLOW_COPY_AND_ASSIGN(VolumeSplineKernelTransform);
};
} // namespace itk
#ifndef ITK_MANUAL_INSTANTIATION
#include "itkVolumeSplineKernelTransform.hxx"
#endif
#endif // itkVolumeSplineKernelTransform_h
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