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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: itkElasticBodySplineKernelTransform2.h,v $
Date: $Date: 2003/09/10 14:29:06 $
Version: $Revision: 1.29 $
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 itkElasticBodySplineKernelTransform2_h
#define itkElasticBodySplineKernelTransform2_h
#include "itkKernelTransform2.h"
namespace itk
{
/** \class ElasticBodySplineKernelTransform2
* This class defines the elastic body spline (EBS) 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
* Taken from the paper:
* The EBS "is based on a physical model of a homogeneous, isotropic,
* three-dimensional elastic body. The model can approximate the way
* that some physical objects deform".
*
* \ingroup Transforms
*/
template <class TScalarType = double, // Data type for scalars (float or double)
unsigned int NDimensions = 3>
// Number of dimensions
class ITK_TEMPLATE_EXPORT ElasticBodySplineKernelTransform2 : public KernelTransform2<TScalarType, NDimensions>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(ElasticBodySplineKernelTransform2);
/** Standard class typedefs. */
using Self = ElasticBodySplineKernelTransform2;
using Superclass = KernelTransform2<TScalarType, NDimensions>;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
/** Run-time type information (and related methods). */
itkTypeMacro(ElasticBodySplineKernelTransform2, KernelTransform2);
/** New macro for creation of through a Smart Pointer */
itkNewMacro(Self);
/** 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);
/** Set alpha. Alpha is related to Poisson's Ratio (\f$\nu\f$) as
* \f$\alpha = 12 ( 1 - \nu ) - 1\f$
*/
// itkSetMacro( Alpha, TScalarType ); Cant use the macro because the matrices must be recomputed
void
SetAlpha(TScalarType Alpha) override
{
this->m_Alpha = Alpha;
this->m_LMatrixComputed = false;
this->m_LInverseComputed = false;
this->m_WMatrixComputed = false;
}
/** Get alpha */
itkGetConstMacro(Alpha, TScalarType);
/** Convenience method */
void
SetPoissonRatio(const TScalarType Nu) override
{
if (Nu > -1.0 && Nu < 0.5)
{
this->SetAlpha(12.0 * (1.0 - Nu) - 1.0);
}
}
const TScalarType
GetPoissonRatio() const override
{
return 1.0 - (this->m_Alpha + 1.0) / 12.0;
}
/** 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;
protected:
ElasticBodySplineKernelTransform2();
~ElasticBodySplineKernelTransform2() override = default;
void
PrintSelf(std::ostream & os, Indent indent) const override;
/** These (rather redundant) typedefs are needed because on SGI, typedefs
* are not inherited */
using typename Superclass::GMatrixType;
/** Compute G(x)
* For the elastic body spline, this is:
* \f[ G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x) \f]
* where
* \f$\alpha = 12 ( 1 - \nu ) - 1\f$, \f$\nu\f$ is Poisson's Ratio,
* \f$ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \f$ and
* \f$I\f$ is the identity matrix.
*/
void
ComputeG(const InputVectorType & x, GMatrixType & GMatrix) const override;
/** alpha, Alpha is related to Poisson's Ratio \f$\nu\f$ as
* \f$\alpha = 12 ( 1 - \nu ) - 1\f$
*/
TScalarType m_Alpha{};
};
} // namespace itk
#ifndef ITK_MANUAL_INSTANTIATION
# include "itkElasticBodySplineKernelTransform2.hxx"
#endif
#endif // itkElasticBodySplineKernelTransform2_h
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