/*=========================================================================
 *
 *  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 __itkElasticBodyReciprocalSplineKernelTransform_h
#define __itkElasticBodyReciprocalSplineKernelTransform_h

#include "itkKernelTransform.h"

namespace itk
{
/** \class ElasticBodyReciprocalSplineKernelTransform
 * 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 ITKTransform
 */
template< class TScalarType = double,   // Data type for scalars (float or
                                        // double)
          unsigned int NDimensions = 3 >
// Number of dimensions
class ITK_EXPORT ElasticBodyReciprocalSplineKernelTransform:
  public KernelTransform<  TScalarType, NDimensions >
{
public:
  /** Standard class typedefs. */
  typedef ElasticBodyReciprocalSplineKernelTransform Self;
  typedef KernelTransform<  TScalarType,
                            NDimensions > Superclass;

  typedef SmartPointer< Self >       Pointer;
  typedef SmartPointer< const Self > ConstPointer;

  /** Run-time type information (and related methods). */
  itkTypeMacro(ElasticBodyReciprocalSplineKernelTransform, KernelTransform);

  /** New macro for creation of through a Smart Pointer */
  itkNewMacro(Self);

  /** Scalar type. */
  typedef typename Superclass::ScalarType ScalarType;

  /** Parameters type. */
  typedef typename Superclass::ParametersType ParametersType;

  /** Jacobian type. */
  typedef typename Superclass::JacobianType 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$\alpha = 8 ( 1 - \nu ) - 1\f$
   */
  itkSetMacro(Alpha, TScalarType);

  /** Get alpha */
  itkGetConstMacro(Alpha, TScalarType);

  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;

protected:
  ElasticBodyReciprocalSplineKernelTransform();
  virtual ~ElasticBodyReciprocalSplineKernelTransform();
  void PrintSelf(std::ostream & os, Indent indent) const;

  typedef typename Superclass::GMatrixType GMatrixType;
  /** Compute G(x)
   * For the elastic body spline, this is:
   * G(x) = [alpha*r(x)*I - 3*x*x'/r(x)]
   * \f$ G(x) = [\alpha*r(x)*I - 3*x*x'/r(x) ]\f$
   * where
   * \f$\alpha = 8 ( 1 - \nu ) - 1\f$
   * \f$\nu\f$ is Poisson's Ratio
   * 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;

  /** alpha, Poisson's ratio */
  TScalarType m_Alpha;

private:
  ElasticBodyReciprocalSplineKernelTransform(const Self &); //purposely not
                                                            // implemented
  void operator=(const Self &);                             //purposely not

  // implemented
};
} // namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#include "itkElasticBodyReciprocalSplineKernelTransform.hxx"
#endif

#endif // __itkElasticBodyReciprocalSplineKernelTransform_h
