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/*=========================================================================
*
* Copyright UMC Utrecht and contributors
*
* 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.
*
*=========================================================================*/
/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: $RCSfile: itkVolumeSplineKernelTransform2.h,v $
Date: $Date: 2006/03/18 18:06:38 $
Version: $Revision: 1.8 $
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 itkVolumeSplineKernelTransform2_h
#define itkVolumeSplineKernelTransform2_h
#include "itkKernelTransform2.h"
namespace itk
{
/** \class VolumeSplineKernelTransform2
* 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 Transforms
*/
template <class TScalarType, // Data type for scalars (float or double)
unsigned int NDimensions = 3>
// Number of dimensions
class ITK_TEMPLATE_EXPORT VolumeSplineKernelTransform2 : public KernelTransform2<TScalarType, NDimensions>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(VolumeSplineKernelTransform2);
/** Standard class typedefs. */
using Self = VolumeSplineKernelTransform2;
using Superclass = KernelTransform2<TScalarType, NDimensions>;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
/** New macro for creation of through a Smart Pointer */
itkNewMacro(Self);
/** Run-time type information (and related methods). */
itkTypeMacro(VolumeSplineKernelTransform2, KernelTransform2);
/** Scalar type. */
using typename Superclass::ScalarType;
/** Parameters type. */
using typename Superclass::ParametersType;
/** Jacobian Type */
using typename Superclass::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 */
using typename Superclass::InputPointType;
using typename Superclass::OutputPointType;
using typename Superclass::InputVectorType;
using typename Superclass::OutputVectorType;
using typename Superclass::InputCovariantVectorType;
using typename Superclass::OutputCovariantVectorType;
using typename Superclass::PointsIterator;
protected:
VolumeSplineKernelTransform2() { this->m_FastComputationPossible = true; }
~VolumeSplineKernelTransform2() override = default;
/** These (rather redundant) typedefs are needed because on SGI, typedefs
* are not inherited. */
using typename Superclass::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. */
void
ComputeG(const InputVectorType & x, GMatrixType & GMatrix) const override;
/** Compute the contribution of the landmarks weighted by the kernel funcion
to the global deformation of the space */
void
ComputeDeformationContribution(const InputPointType & inputPoint, OutputPointType & result) const override;
};
} // namespace itk
#ifndef ITK_MANUAL_INSTANTIATION
# include "itkVolumeSplineKernelTransform2.hxx"
#endif
#endif // itkVolumeSplineKernelTransform2_h
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