mitkAffineTransformBaseTest.cpp

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

The Medical Imaging Interaction Toolkit (MITK)

Copyright (c) German Cancer Research Center (DKFZ)
All rights reserved.

Use of this source code is governed by a 3-clause BSD license that can be
found in the LICENSE file.

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

#include "itkScalableAffineTransform.h"
#include "mitkMatrixConvert.h"
#include "mitkNumericTypes.h"

#include "mitkTestingMacros.h"

using namespace mitk;

static Vector3D offset;
static Matrix3D rotation;
static Point3D originalPoint;
static double originalPointDouble[4];

static vtkMatrix4x4 *homogenMatrix = nullptr;

static vtkMatrix4x4 *expectedHomogenousMatrix = nullptr;
static const double expectedPointAfterTransformation[] = {2, 4, 4, 1};

static void Setup()
{
  originalPoint[0] = 1.0;
  originalPoint[1] = 0.0;
  originalPoint[2] = 0.0;

  for (int i = 0; i < 3; i++)
    originalPointDouble[i] = originalPoint[i]; // same point as the Point3D version
  originalPointDouble[3] = 1;                  // homogenous extension

  offset[0] = 2.0;
  offset[1] = 3.0;
  offset[2] = 4.0;

  // 90� rotation
  rotation.Fill(0);
  rotation[0][1] = -1;
  rotation[1][0] = 1;

  // prepare a Matrix which shall be set later to a specific
  // homogen matrix by TransferItkTransformToVtkMatrix
  // this makes sure, that the initialization to the identity does not
  // overshadow any bugs in TransferItkTransformToVtkMatrix
  // (it actually did that by "helping out" TransferItkTransformToVtkMatrix
  // by setting the (3,3) element to 1).
  homogenMatrix = vtkMatrix4x4::New();
  for (int i = 0; i < 4; i++)
    for (int j = 0; j < 4; j++)
      homogenMatrix->SetElement(i, j, i + j * j); // just some not trivial value

  // set the expected homogenous matrix result
  expectedHomogenousMatrix = vtkMatrix4x4::New();
  expectedHomogenousMatrix->Zero();
  expectedHomogenousMatrix->SetElement(0, 1, -1);
  expectedHomogenousMatrix->SetElement(1, 0, 1);
  expectedHomogenousMatrix->SetElement(0, 3, 2);
  expectedHomogenousMatrix->SetElement(1, 3, 3);
  expectedHomogenousMatrix->SetElement(2, 3, 4);
  expectedHomogenousMatrix->SetElement(3, 3, 1);
}

static void TearDown()
{
  if (homogenMatrix)
    homogenMatrix->Delete();
  if (expectedHomogenousMatrix)
    expectedHomogenousMatrix->Delete();
}

static void testIfPointIsTransformedAsExpected(void)
{
  Setup();

  AffineTransform3D::Pointer transform = AffineTransform3D::New();

  transform->SetOffset(offset);
  transform->SetMatrix(rotation);

  TransferItkTransformToVtkMatrix(transform.GetPointer(), homogenMatrix);

  Point3D pointTransformedByAffineTransform3D = transform->TransformPoint(originalPoint);

  bool pointCorrect = true;
  for (int i = 0; i < 3; i++) // only first three since no homogenous coordinates
    pointCorrect &= Equal(pointTransformedByAffineTransform3D[i], expectedPointAfterTransformation[i]);

  MITK_TEST_CONDITION(pointCorrect, "Point has been correctly transformed by AffineTranform3D")

  TearDown();
}

static void testTransferItkTransformToVtkMatrix(void)
{
  Setup();

  AffineTransform3D::Pointer transform = AffineTransform3D::New();

  transform->SetOffset(offset);
  transform->SetMatrix(rotation);

  TransferItkTransformToVtkMatrix(transform.GetPointer(), homogenMatrix);

  bool allElementsEqual = true;
  for (int i = 0; i < 4; i++)
    for (int j = 0; j < 4; j++)
      allElementsEqual &= Equal(homogenMatrix->GetElement(i, j), expectedHomogenousMatrix->GetElement(i, j));

  MITK_TEST_CONDITION(allElementsEqual, "Homogenous Matrix is set as expected")

  TearDown();
}

static void testIfBothTransformationsProduceSameResults(void)
{
  Setup();

  AffineTransform3D::Pointer transform = AffineTransform3D::New();

  transform->SetOffset(offset);
  transform->SetMatrix(rotation);

  TransferItkTransformToVtkMatrix(transform.GetPointer(), homogenMatrix);

  Point3D pointTransformedByAffineTransform3D = transform->TransformPoint(originalPoint);

  double *pointTransformedByHomogenous = homogenMatrix->MultiplyDoublePoint(originalPointDouble);

  /* check if results match */

  bool pointsMatch = true;
  for (int i = 0; i < 3; i++) // only first three since no homogenous coordinates
    pointsMatch &= Equal(pointTransformedByAffineTransform3D[i], pointTransformedByHomogenous[i]);

  bool homogenousComponentCorrect = Equal(1, pointTransformedByHomogenous[3]);

  MITK_TEST_CONDITION(pointsMatch && homogenousComponentCorrect,
                      "Point transformed by AffineTransform and homogenous coordinates match")

  TearDown();
}

int mitkAffineTransformBaseTest(int /*argc*/, char * /*argv*/ [])
{
  MITK_TEST_BEGIN("AffineTransformationBaseTest");

  testIfPointIsTransformedAsExpected();

  testTransferItkTransformToVtkMatrix();

  testIfBothTransformationsProduceSameResults();

  MITK_TEST_END();
}