mitkAnisotropicRegistrationCommon.cpp

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/*===================================================================

The Medical Imaging Interaction Toolkit (MITK)

Copyright (c) German Cancer Research Center,
Division of Medical and Biological Informatics.
All rights reserved.

This software is distributed WITHOUT ANY WARRANTY; without
even the implied warranty of MERCHANTABILITY or FITNESS FOR
A PARTICULAR PURPOSE.

See LICENSE.txt or http://www.mitk.org for details.

===================================================================*/

#include <mitkAnisotropicRegistrationCommon.h>
#include <mitkPointSet.h>
#include <vtkPoints.h>

mitk::AnisotropicRegistrationCommon::WeightMatrix mitk::AnisotropicRegistrationCommon::CalculateWeightMatrix(
  const CovarianceMatrix &sigma_X, const CovarianceMatrix &sigma_Y)
{
  WeightMatrix returnValue;

  WeightMatrix sum = sigma_X + sigma_Y;
  vnl_svd<double> svd(sum.GetVnlMatrix());

  WeightMatrix diag;
  diag.Fill(0.0);
  diag[0][0] = 1.0 / sqrt(svd.W(0));
  diag[1][1] = 1.0 / sqrt(svd.W(1));
  diag[2][2] = 1.0 / sqrt(svd.W(2));

  WeightMatrix V; // convert vnl matrix to itk matrix...
  for (unsigned int i = 0; i < 3; ++i)
    for (unsigned int j = 0; j < 3; ++j)
      V[i][j] = svd.V()[i][j];

  // add weighting matrix for point j1 (corresponding to identity transform)
  returnValue = V * diag * V.GetTranspose();

  return returnValue;
}

void mitk::AnisotropicRegistrationCommon::TransformPoints(vtkPoints *src,
                                                          vtkPoints *dst,
                                                          const Rotation &rotation,
                                                          const Translation &translation)
{
#pragma omp parallel for
  for (vtkIdType i = 0; i < src->GetNumberOfPoints(); ++i)
  {
    double p_in[3];
    double p_out[3];
    src->GetPoint(i, p_in);

    for (unsigned int j = 0; j < 3; ++j)
    {
      p_out[j] = p_in[0] * rotation[j][0] + p_in[1] * rotation[j][1] + p_in[2] * rotation[j][2] + translation[j];
    }

    dst->SetPoint(i, p_out);
  }
}

void mitk::AnisotropicRegistrationCommon::PropagateMatrices(const MatrixList &src,
                                                            MatrixList &dst,
                                                            const Rotation &rotation)
{
  const vnl_matrix_fixed<double, 3, 3> rotationT = rotation.GetTranspose();

#pragma omp parallel for
  for (int i = 0; i < static_cast<int>(src.size()); ++i)
  {
    dst[i] = rotation * src[i] * rotationT;
  }
}

double mitk::AnisotropicRegistrationCommon::ComputeTargetRegistrationError(const mitk::PointSet *movingTargets,
                                                                           const mitk::PointSet *fixedTargets,
                                                                           const Rotation &rotation,
                                                                           const Translation &translation)
{
  double tre = 0.0;

  for (int i = 0; i < movingTargets->GetSize(); ++i)
  {
    mitk::Point3D pm = movingTargets->GetPoint(i);
    mitk::Point3D ps = fixedTargets->GetPoint(i);

    // transform point
    pm = rotation * pm + translation;

    const double dist =
      (ps[0] - pm[0]) * (ps[0] - pm[0]) + (ps[1] - pm[1]) * (ps[1] - pm[1]) + (ps[2] - pm[2]) * (ps[2] - pm[2]);

    tre += dist;
  }

  tre /= movingTargets->GetSize();

  return sqrt(tre);
}