text: /*=========================================================================
   *
   *  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.
   *
   *=========================================================================*/
  #ifndef __itkAdvancedCombinationTransform_h
  #define __itkAdvancedCombinationTransform_h
  
  #include "itkAdvancedTransform.h"
  #include "itkExceptionObject.h"
  
  namespace itk
  {
  
  /**
   * \class AdvancedCombinationTransform
   *
   * \brief This class combines two transforms: an 'initial transform'
   * with a 'current transform'.
   *
   * The CombinationTransform class combines an initial transform \f$T_0\f$ with a
   * current transform \f$T_1\f$.
   *
   * Two methods of combining the transforms are supported:
   * \li Addition: \f$T(x) = T_0(x) + T_1(x)\f$
   * \li Composition: \f$T(x) = T_1( T_0(x) )\f$
   *
   * The TransformPoint(), the GetJacobian() and the GetInverse() methods
   * depend on this setting.
   *
   * If the transform is used in a registration framework,
   * the initial transform is assumed constant, and the current
   * transform is assumed to be the transform that is optimised.
   * So, the transform parameters of the CombinationTransform are the
   * parameters of the CurrentTransform \f$T_1\f$.
   *
   * Note: It is mandatory to set a current transform. An initial transform
   * is not mandatory.
   *
   * \ingroup Transforms
   */
  
  template< typename TScalarType, unsigned int NDimensions = 3 >
  class AdvancedCombinationTransform :
    public AdvancedTransform< TScalarType, NDimensions, NDimensions >
  {
  public:
  
    /** Standard itk. */
    typedef AdvancedCombinationTransform Self;
    typedef AdvancedTransform< TScalarType,
      NDimensions, NDimensions >                Superclass;
    typedef SmartPointer< Self >       Pointer;
    typedef SmartPointer< const Self > ConstPointer;
  
    /** New method for creating an object using a factory. */
    itkNewMacro( Self );
  
    /** ITK Type info. */
    itkTypeMacro( AdvancedCombinationTransform, AdvancedTransform );
  
    /** Input and Output space dimension. */
    itkStaticConstMacro( SpaceDimension, unsigned int, NDimensions );
  
    /** Typedefs inherited from Superclass.*/
    typedef typename Superclass::ScalarType                    ScalarType;
    typedef typename Superclass::ParametersType                ParametersType;
    typedef typename Superclass::FixedParametersType           FixedParametersType;
    typedef typename Superclass::ParametersValueType           ParametersValueType;
    typedef typename Superclass::NumberOfParametersType        NumberOfParametersType;
    typedef typename Superclass::DerivativeType                DerivativeType;
    typedef typename Superclass::JacobianType                  JacobianType;
    typedef typename Superclass::InputVectorType               InputVectorType;
    typedef typename Superclass::OutputVectorType              OutputVectorType;
    typedef typename Superclass::InputCovariantVectorType      InputCovariantVectorType;
    typedef typename Superclass::OutputCovariantVectorType     OutputCovariantVectorType;
    typedef typename Superclass::InputVnlVectorType            InputVnlVectorType;
    typedef typename Superclass::OutputVnlVectorType           OutputVnlVectorType;
    typedef typename Superclass::InputPointType                InputPointType;
    typedef typename Superclass::OutputPointType               OutputPointType;
    typedef typename Superclass::NonZeroJacobianIndicesType    NonZeroJacobianIndicesType;
    typedef typename Superclass::SpatialJacobianType           SpatialJacobianType;
    typedef typename Superclass::JacobianOfSpatialJacobianType JacobianOfSpatialJacobianType;
    typedef typename Superclass::SpatialHessianType            SpatialHessianType;
    typedef typename Superclass::JacobianOfSpatialHessianType  JacobianOfSpatialHessianType;
    typedef typename Superclass::InternalMatrixType            InternalMatrixType;
    typedef typename Superclass::InverseTransformBaseType      InverseTransformBaseType;
    typedef typename Superclass::InverseTransformBasePointer   InverseTransformBasePointer;
    typedef typename Superclass::TransformCategoryType         TransformCategoryType;
    typedef typename Superclass::MovingImageGradientType       MovingImageGradientType;
    typedef typename Superclass::MovingImageGradientValueType  MovingImageGradientValueType;
  
    /** Transform typedefs for the from Superclass. */
    typedef typename Superclass::TransformType   TransformType;
    typedef typename TransformType::Pointer      TransformTypePointer;
    typedef typename TransformType::ConstPointer TransformTypeConstPointer;
  
    /** Typedefs for the InitialTransform. */
    typedef Superclass                                  InitialTransformType;
    typedef typename InitialTransformType::Pointer      InitialTransformPointer;
    typedef typename InitialTransformType::ConstPointer InitialTransformConstPointer;
    typedef typename InitialTransformType::InverseTransformBaseType
      InitialTransformInverseTransformBaseType;
    typedef typename InitialTransformType::InverseTransformBasePointer
      InitialTransformInverseTransformBasePointer;
  
    /** Typedefs for the CurrentTransform. */
    typedef Superclass                                  CurrentTransformType;
    typedef typename CurrentTransformType::Pointer      CurrentTransformPointer;
    typedef typename CurrentTransformType::ConstPointer CurrentTransformConstPointer;
    typedef typename CurrentTransformType::InverseTransformBaseType
      CurrentTransformInverseTransformBaseType;
    typedef typename CurrentTransformType::InverseTransformBasePointer
      CurrentTransformInverseTransformBasePointer;
  
    /** Set/Get a pointer to the InitialTransform. */
    virtual void SetInitialTransform( InitialTransformType * _arg );
  
    itkGetModifiableObjectMacro( InitialTransform, InitialTransformType );
  
    /** Set/Get a pointer to the CurrentTransform.
     * Make sure to set the CurrentTransform before calling functions like
     * TransformPoint(), GetJacobian(), SetParameters() etc.
     */
    virtual void SetCurrentTransform( CurrentTransformType * _arg );
  
    itkGetModifiableObjectMacro( CurrentTransform, CurrentTransformType );
  
    /** Return the number of sub-transforms. */
    virtual SizeValueType GetNumberOfTransforms( void ) const;
  
    /** Get the Nth current transform.
      * Exact interface to the ITK4 MultiTransform::GetNthTransform( SizeValueType n )
      * \warning The bounds checking is performed.
      */
    virtual const TransformTypePointer GetNthTransform( SizeValueType n ) const;
  
    /** Control the way transforms are combined. */
    virtual void SetUseComposition( bool _arg );
  
    itkGetConstMacro( UseComposition, bool );
  
    /** Control the way transforms are combined. */
    virtual void SetUseAddition( bool _arg );
  
    itkGetConstMacro( UseAddition, bool );
  
    /**  Method to transform a point. */
    virtual OutputPointType TransformPoint( const InputPointType  & point ) const;
  
    /** ITK4 change:
     * The following pure virtual functions must be overloaded.
     * For now just throw an exception, since these are not used in elastix.
     */
    virtual OutputVectorType TransformVector( const InputVectorType & ) const
    {
      itkExceptionMacro(
          << "TransformVector(const InputVectorType &) is not implemented "
          << "for AdvancedCombinationTransform" );
    }
  
  
    virtual OutputVnlVectorType TransformVector( const InputVnlVectorType & ) const
    {
      itkExceptionMacro(
          << "TransformVector(const InputVnlVectorType &) is not implemented "
          << "for AdvancedCombinationTransform" );
    }
  
  
    virtual OutputCovariantVectorType TransformCovariantVector( const InputCovariantVectorType & ) const
    {
      itkExceptionMacro(
          << "TransformCovariantVector(const InputCovariantVectorType &) is not implemented "
          << "for AdvancedCombinationTransform" );
    }
  
  
    /** Return the number of parameters that completely define the CurrentTransform. */
    virtual NumberOfParametersType GetNumberOfParameters( void ) const;
  
    /** Get the number of nonzero Jacobian indices. By default all. */
    virtual NumberOfParametersType GetNumberOfNonZeroJacobianIndices( void ) const;
  
    /** Get the transformation parameters from the CurrentTransform. */
    virtual const ParametersType & GetParameters( void ) const;
  
    /** Get the fixed parameters from the CurrentTransform. */
    virtual const FixedParametersType & GetFixedParameters( void ) const;
  
    /** Set the transformation parameters in the CurrentTransform. */
    virtual void SetParameters( const ParametersType & param );
  
    /** Set the transformation parameters in the CurrentTransform.
     * This method forces the transform to copy the parameters.
     */
    virtual void SetParametersByValue( const ParametersType & param );
  
    /** Set the fixed parameters in the CurrentTransform. */
    virtual void SetFixedParameters( const FixedParametersType & fixedParam );
  
    /** Return the inverse \f$T^{-1}\f$ of the transform.
     *  This is only possible when:
     * - both the inverses of the initial and the current transform
     *   are defined, and Composition is used:
     *   \f$T^{-1}(y) = T_0^{-1} ( T_1^{-1}(y) )\f$
     * - No initial transform is used and the current transform is defined.
     * In all other cases this function returns false and does not provide
     * an inverse transform. An exception is thrown when no CurrentTransform
     * is set.
     */
    virtual bool GetInverse( Self * inverse ) const;
  
    /** Return whether the transform is linear (or actually: affine)
     * Returns true when both initial and current transform are linear */
    virtual bool IsLinear( void ) const;
  
    /** Special handling for combination transform. If all transforms
     * are linear, then return category Linear. Otherwise if all
     * transforms set to optimize are DisplacementFields, then
     * return DisplacementField category. */
    virtual TransformCategoryType GetTransformCategory() const;
  
    /** Whether the advanced transform has nonzero matrices. */
    virtual bool GetHasNonZeroSpatialHessian( void ) const;
  
    virtual bool HasNonZeroJacobianOfSpatialHessian( void ) const;
  
    /** Compute the (sparse) Jacobian of the transformation. */
    virtual void GetJacobian(
      const InputPointType & ipp,
      JacobianType & j,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** Compute the inner product of the Jacobian with the moving image gradient. */
    virtual void EvaluateJacobianWithImageGradientProduct(
      const InputPointType & ipp,
      const MovingImageGradientType & movingImageGradient,
      DerivativeType & imageJacobian,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** Compute the spatial Jacobian of the transformation. */
    virtual void GetSpatialJacobian(
      const InputPointType & ipp,
      SpatialJacobianType & sj ) const;
  
    /** Compute the spatial Hessian of the transformation. */
    virtual void GetSpatialHessian(
      const InputPointType & ipp,
      SpatialHessianType & sh ) const;
  
    /** Compute the Jacobian of the spatial Jacobian of the transformation. */
    virtual void GetJacobianOfSpatialJacobian(
      const InputPointType & ipp,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** Compute both the spatial Jacobian and the Jacobian of the
     * spatial Jacobian of the transformation.
     */
    virtual void GetJacobianOfSpatialJacobian(
      const InputPointType & ipp,
      SpatialJacobianType & sj,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** Compute the Jacobian of the spatial Hessian of the transformation. */
    virtual void GetJacobianOfSpatialHessian(
      const InputPointType & ipp,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** Compute both the spatial Hessian and the Jacobian of the
     * spatial Hessian of the transformation.
     */
    virtual void GetJacobianOfSpatialHessian(
      const InputPointType & ipp,
      SpatialHessianType & sh,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** Typedefs for function pointers. */
    typedef OutputPointType (Self::* TransformPointFunctionPointer)( const InputPointType & ) const;
    typedef void (Self::*            GetSparseJacobianFunctionPointer)(
      const InputPointType &,
      JacobianType &,
      NonZeroJacobianIndicesType & ) const;
    typedef void (Self::* EvaluateJacobianWithImageGradientProductFunctionPointer)(
      const InputPointType &,
      const MovingImageGradientType &,
      DerivativeType &,
      NonZeroJacobianIndicesType & ) const;
    typedef void (Self::* GetSpatialJacobianFunctionPointer)(
      const InputPointType &,
      SpatialJacobianType & ) const;
    typedef void (Self::* GetSpatialHessianFunctionPointer)(
      const InputPointType &,
      SpatialHessianType & ) const;
    typedef void (Self::* GetJacobianOfSpatialJacobianFunctionPointer)(
      const InputPointType &,
      JacobianOfSpatialJacobianType &,
      NonZeroJacobianIndicesType & ) const;
    typedef void (Self::* GetJacobianOfSpatialJacobianFunctionPointer2)(
      const InputPointType &,
      SpatialJacobianType &,
      JacobianOfSpatialJacobianType &,
      NonZeroJacobianIndicesType & ) const;
    typedef void (Self::* GetJacobianOfSpatialHessianFunctionPointer)(
      const InputPointType &,
      JacobianOfSpatialHessianType &,
      NonZeroJacobianIndicesType & ) const;
    typedef void (Self::* GetJacobianOfSpatialHessianFunctionPointer2)(
      const InputPointType &,
      SpatialHessianType &,
      JacobianOfSpatialHessianType &,
      NonZeroJacobianIndicesType & ) const;
  
  protected:
  
    /** Constructor. */
    AdvancedCombinationTransform();
  
    /** Destructor. */
    virtual ~AdvancedCombinationTransform(){}
  
    /** Declaration of members. */
    InitialTransformPointer m_InitialTransform;
    CurrentTransformPointer m_CurrentTransform;
  
    /** Set the SelectedTransformPointFunction and the
     * SelectedGetJacobianFunction.
     */
    virtual void UpdateCombinationMethod( void );
  
    /** Throw an exception. */
    virtual void NoCurrentTransformSet( void ) const throw ( ExceptionObject );
  
    /**  A pointer to one of the following functions:
     * - TransformPointUseAddition,
     * - TransformPointUseComposition,
     * - TransformPointNoCurrentTransform
     * - TransformPointNoInitialTransform.
     */
    TransformPointFunctionPointer m_SelectedTransformPointFunction;
  
    /**  A pointer to one of the following functions:
     * - GetJacobianUseAddition,
     * - GetJacobianUseComposition,
     * - GetJacobianNoCurrentTransform
     * - GetJacobianNoInitialTransform.
     */
    //GetJacobianFunctionPointer m_SelectedGetJacobianFunction;
  
    /** More of these. */
    GetSparseJacobianFunctionPointer                        m_SelectedGetSparseJacobianFunction;
    EvaluateJacobianWithImageGradientProductFunctionPointer m_SelectedEvaluateJacobianWithImageGradientProductFunction;
    GetSpatialJacobianFunctionPointer                       m_SelectedGetSpatialJacobianFunction;
    GetSpatialHessianFunctionPointer                        m_SelectedGetSpatialHessianFunction;
    GetJacobianOfSpatialJacobianFunctionPointer             m_SelectedGetJacobianOfSpatialJacobianFunction;
    GetJacobianOfSpatialJacobianFunctionPointer2            m_SelectedGetJacobianOfSpatialJacobianFunction2;
    GetJacobianOfSpatialHessianFunctionPointer              m_SelectedGetJacobianOfSpatialHessianFunction;
    GetJacobianOfSpatialHessianFunctionPointer2             m_SelectedGetJacobianOfSpatialHessianFunction2;
  
    /** ************************************************
     * Methods to transform a point.
     */
  
    /** ADDITION: \f$T(x) = T_0(x) + T_1(x) - x\f$ */
    inline OutputPointType TransformPointUseAddition(
      const InputPointType & point ) const;
  
    /** COMPOSITION: \f$T(x) = T_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline OutputPointType TransformPointUseComposition(
      const InputPointType & point ) const;
  
    /** CURRENT ONLY: \f$T(x) = T_1(x)\f$ */
    inline OutputPointType TransformPointNoInitialTransform(
      const InputPointType & point ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline OutputPointType TransformPointNoCurrentTransform(
      const InputPointType & point ) const;
  
    /** ************************************************
     * Methods to compute the sparse Jacobian.
     */
  
    /** ADDITION: \f$J(x) = J_1(x)\f$ */
    inline void GetJacobianUseAddition(
      const InputPointType &,
      JacobianType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** COMPOSITION: \f$J(x) = J_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline void GetJacobianUseComposition(
      const InputPointType &,
      JacobianType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** CURRENT ONLY: \f$J(x) = J_1(x)\f$ */
    inline void GetJacobianNoInitialTransform(
      const InputPointType &,
      JacobianType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline void GetJacobianNoCurrentTransform(
      const InputPointType &,
      JacobianType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** ************************************************
     * Methods to compute the inner product of the Jacobian with the moving image gradient.
     */
  
    /** ADDITION: \f$J(x) = J_1(x)\f$ */
    inline void EvaluateJacobianWithImageGradientProductUseAddition(
      const InputPointType &,
      const MovingImageGradientType &,
      DerivativeType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** COMPOSITION: \f$J(x) = J_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline void EvaluateJacobianWithImageGradientProductUseComposition(
      const InputPointType &,
      const MovingImageGradientType &,
      DerivativeType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** CURRENT ONLY: \f$J(x) = J_1(x)\f$ */
    inline void EvaluateJacobianWithImageGradientProductNoInitialTransform(
      const InputPointType &,
      const MovingImageGradientType &,
      DerivativeType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline void EvaluateJacobianWithImageGradientProductNoCurrentTransform(
      const InputPointType &,
      const MovingImageGradientType &,
      DerivativeType &,
      NonZeroJacobianIndicesType & ) const;
  
    /** ************************************************
     * Methods to compute the spatial Jacobian.
     */
  
    /** ADDITION: \f$J(x) = J_1(x)\f$ */
    inline void GetSpatialJacobianUseAddition(
      const InputPointType & ipp,
      SpatialJacobianType & sj ) const;
  
    /** COMPOSITION: \f$J(x) = J_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline void GetSpatialJacobianUseComposition(
      const InputPointType & ipp,
      SpatialJacobianType & sj ) const;
  
    /** CURRENT ONLY: \f$J(x) = J_1(x)\f$ */
    inline void GetSpatialJacobianNoInitialTransform(
      const InputPointType & ipp,
      SpatialJacobianType & sj ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline void GetSpatialJacobianNoCurrentTransform(
      const InputPointType & ipp,
      SpatialJacobianType & sj ) const;
  
    /** ************************************************
     * Methods to compute the spatial Hessian.
     */
  
    /** ADDITION: \f$J(x) = J_1(x)\f$ */
    inline void GetSpatialHessianUseAddition(
      const InputPointType & ipp,
      SpatialHessianType & sh ) const;
  
    /** COMPOSITION: \f$J(x) = J_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline void GetSpatialHessianUseComposition(
      const InputPointType & ipp,
      SpatialHessianType & sh ) const;
  
    /** CURRENT ONLY: \f$J(x) = J_1(x)\f$ */
    inline void GetSpatialHessianNoInitialTransform(
      const InputPointType & ipp,
      SpatialHessianType & sh ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline void GetSpatialHessianNoCurrentTransform(
      const InputPointType & ipp,
      SpatialHessianType & sh ) const;
  
    /** ************************************************
     * Methods to compute the Jacobian of the spatial Jacobian.
     */
  
    /** ADDITION: \f$J(x) = J_1(x)\f$ */
    inline void GetJacobianOfSpatialJacobianUseAddition(
      const InputPointType & ipp,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialJacobianUseAddition(
      const InputPointType & ipp,
      SpatialJacobianType & sj,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** COMPOSITION: \f$J(x) = J_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline void GetJacobianOfSpatialJacobianUseComposition(
      const InputPointType & ipp,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialJacobianUseComposition(
      const InputPointType & ipp,
      SpatialJacobianType & sj,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** CURRENT ONLY: \f$J(x) = J_1(x)\f$ */
    inline void GetJacobianOfSpatialJacobianNoInitialTransform(
      const InputPointType & ipp,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialJacobianNoInitialTransform(
      const InputPointType & ipp,
      SpatialJacobianType & sj,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline void GetJacobianOfSpatialJacobianNoCurrentTransform(
      const InputPointType & ipp,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialJacobianNoCurrentTransform(
      const InputPointType & ipp,
      SpatialJacobianType & sj,
      JacobianOfSpatialJacobianType & jsj,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** ************************************************
     * Methods to compute the Jacobian of the spatial Hessian.
     */
  
    /** ADDITION: \f$J(x) = J_1(x)\f$ */
    inline void GetJacobianOfSpatialHessianUseAddition(
      const InputPointType & ipp,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialHessianUseAddition(
      const InputPointType & ipp,
      SpatialHessianType & sh,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** COMPOSITION: \f$J(x) = J_1( T_0(x) )\f$
     * \warning: assumes that input and output point type are the same.
     */
    inline void GetJacobianOfSpatialHessianUseComposition(
      const InputPointType & ipp,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    virtual inline void GetJacobianOfSpatialHessianUseComposition(
      const InputPointType & ipp,
      SpatialHessianType & sh,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** CURRENT ONLY: \f$J(x) = J_1(x)\f$ */
    inline void GetJacobianOfSpatialHessianNoInitialTransform(
      const InputPointType & ipp,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialHessianNoInitialTransform(
      const InputPointType & ipp,
      SpatialHessianType & sh,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** NO CURRENT TRANSFORM SET: throw an exception. */
    inline void GetJacobianOfSpatialHessianNoCurrentTransform(
      const InputPointType & ipp,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    inline void GetJacobianOfSpatialHessianNoCurrentTransform(
      const InputPointType & ipp,
      SpatialHessianType & sh,
      JacobianOfSpatialHessianType & jsh,
      NonZeroJacobianIndicesType & nonZeroJacobianIndices ) const;
  
    /** How to combine the transformations. */
    bool m_UseAddition;
    bool m_UseComposition;
  
  private:
  
    AdvancedCombinationTransform( const Self & ); // purposely not implemented
    void operator=( const Self & );               // purposely not implemented
  
  };
  
  } // end namespace itk
  
  #ifndef ITK_MANUAL_INSTANTIATION
  #include "itkAdvancedCombinationTransform.hxx"
  #endif
  
  #endif // end #ifndef __itkAdvancedCombinationTransform_h
  