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/*========================================================================= |
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Program: Insight Segmentation & Registration Toolkit |
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Module: $RCSfile: itkElasticBodySplineKernelTransform.h.html,v $ |
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Language: C++ |
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Date: $Date: 2006/01/17 19:15:35 $ |
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Version: $Revision: 1.4 $ |
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Copyright (c) Insight Software Consortium. All rights reserved. |
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See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details. |
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This software is distributed WITHOUT ANY WARRANTY; without even |
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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PURPOSE. See the above copyright notices for more information. |
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=========================================================================*/ |
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#ifndef __itkElasticBodySplineKernelTransform_h |
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#define __itkElasticBodySplineKernelTransform_h |
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#include "itkKernelTransform.h" |
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namespace itk |
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{ |
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/** \class ElasticBodySplineKernelTransform |
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* This class defines the elastic body spline (EBS) transformation. |
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* It is implemented in as straightforward a manner as possible from |
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* the IEEE TMI paper by Davis, Khotanzad, Flamig, and Harms, |
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* Vol. 16 No. 3 June 1997 |
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* Taken from the paper: |
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* The EBS "is based on a physical model of a homogeneous, isotropic, |
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* three-dimensional elastic body. The model can approximate the way |
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* that some physical objects deform". |
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* |
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* \ingroup Transforms |
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*/ |
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template <class TScalarType = double, // Data type for scalars (float or double) |
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unsigned int NDimensions = 3> // Number of dimensions |
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class ITK_EXPORT ElasticBodySplineKernelTransform : |
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**********public KernelTransform< TScalarType, NDimensions> |
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{ |
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public: |
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/** Standard class typedefs. */ |
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typedef ElasticBodySplineKernelTransform Self; |
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typedef KernelTransform< TScalarType, |
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TDA |
NDimensions> Superclass; |
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typedef SmartPointer<Self> Pointer; |
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typedef SmartPointer<const Self> ConstPointer; |
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/** Run-time type information (and related methods). */ |
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itkTypeMacro( ElasticBodySplineKernelTransform, KernelTransform ); |
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/** New macro for creation of through a Smart Pointer */ |
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itkNewMacro( Self ); |
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/** Scalar type. */ |
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typedef typename Superclass::ScalarType ScalarType; |
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/** Parameters type. */ |
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typedef typename Superclass::ParametersType ParametersType; |
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/** Jacobian type. */ |
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typedef typename Superclass::JacobianType JacobianType; |
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/** Dimension of the domain space. */ |
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itkStaticConstMacro(SpaceDimension, unsigned int,Superclass::SpaceDimension); |
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/** Set alpha. Alpha is related to Poisson's Ratio (\f$\nu\f$) as |
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* \f$\alpha = 12 ( 1 - \nu ) - 1\f$ |
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*/ |
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itkSetMacro( Alpha, TScalarType ); |
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/** Get alpha */ |
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itkGetMacro( Alpha, TScalarType ); |
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/** These (rather redundant) typedefs are needed because on SGI, typedefs |
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* are not inherited */ |
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typedef typename Superclass::InputPointType InputPointType; |
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TDA |
typedef typename Superclass::OutputPointType OutputPointType; |
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typedef typename Superclass::InputVectorType InputVectorType; |
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typedef typename Superclass::OutputVectorType OutputVectorType; |
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typedef typename Superclass::InputCovariantVectorType InputCovariantVectorType; |
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typedef typename Superclass::OutputCovariantVectorType OutputCovariantVectorType; |
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protected: |
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ElasticBodySplineKernelTransform(); |
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virtual ~ElasticBodySplineKernelTransform(); |
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void PrintSelf(std::ostream& os, Indent indent) const; |
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/** These (rather redundant) typedefs are needed because on SGI, typedefs |
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* are not inherited */ |
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typedef typename Superclass::GMatrixType GMatrixType; |
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/** Compute G(x) |
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* For the elastic body spline, this is: |
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* G(x) = [alpha*r(x)^2*I - 3*x*x']*r(x) |
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* \f$ G(x) = [\alpha*r(x)^2*I - 3*x*x']*r(x) \f$ |
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* where |
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* \f$\alpha = 12 ( 1 - \nu ) - 1\f$ |
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* \f$\nu\f$ is Poisson's Ratio |
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* r(x) = Euclidean norm = sqrt[x1^2 + x2^2 + x3^2] |
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* \f[ r(x) = \sqrt{ x_1^2 + x_2^2 + x_3^2 } \f] |
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* I = identity matrix */ |
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const GMatrixType & ComputeG(const InputVectorType& x) const; |
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/** alpha, Alpha is related to Poisson's Ratio ($\nu$) as |
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* $\alpha = 12 ( 1 - \nu ) - 1$ |
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*/ |
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TScalarType m_Alpha; |
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**private: |
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ElasticBodySplineKernelTransform(const Self&); //purposely not implemented |
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void operator=(const Self&); //purposely not implemented |
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}; |
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} // namespace itk |
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#ifndef ITK_MANUAL_INSTANTIATION |
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#include "itkElasticBodySplineKernelTransform.txx" |
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#endif |
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#endif // __itkElasticBodySplineKernelTransform_h |
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