File: itkHalfToFullHermitianImageFilterTest.cxx

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/*=========================================================================
 *
 *  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.
 *
 *=========================================================================*/

#include <iostream>

#include "itkChangeInformationImageFilter.h"
#include "itkHalfToFullHermitianImageFilter.h"
#include "itkRandomImageSource.h"
#include "itkRealToHalfHermitianForwardFFTImageFilter.h"

int itkHalfToFullHermitianImageFilterTest(int argc, char *argv[])
{
  // Print usage information.
  if ( argc < 3 )
    {
    std::cerr << "Usage: " << argv[0] << " <test image size x> <test image size y>"
              << std::endl;
    return EXIT_FAILURE;
    }

  // Read in image.
  typedef itk::Image< float, 2 >                 ImageType;
  typedef itk::Image< std::complex< float >, 2 > ComplexImageType;
  typedef itk::RandomImageSource< ImageType >    RandomSourceType;

  RandomSourceType::Pointer source = RandomSourceType::New();
  RandomSourceType::SizeType size;
  size[0] = atoi( argv[1] );
  size[1] = atoi( argv[2] );
  source->SetMin( 0.0f );
  source->SetMax( 1.0f );
  source->SetSize( size );
  source->Update();

  // Change the index of the image's largest possible region to test
  // generality of the filters.
  typedef itk::ChangeInformationImageFilter< ImageType > ChangeFilterType;
  ChangeFilterType::Pointer changer = ChangeFilterType::New();
  changer->ChangeRegionOn();
  ChangeFilterType::OutputImageOffsetValueType indexShift[2];
  indexShift[0] = -3;
  indexShift[1] =  5;
  changer->SetOutputOffset( indexShift );
  changer->SetInput( source->GetOutput() );

  // Compute frequency image, yielding the non-redundant half of the
  // full complex image.
  typedef itk::RealToHalfHermitianForwardFFTImageFilter< ImageType, ComplexImageType > FFTFilter;
  FFTFilter::Pointer fft = FFTFilter::New();
  fft->SetInput( changer->GetOutput() );

  // Expand the non-redundant half to the full complex image.
  typedef itk::HalfToFullHermitianImageFilter< ComplexImageType > HalfToFullFilterType;
  HalfToFullFilterType::Pointer halfToFullFilter = HalfToFullFilterType::New();
  halfToFullFilter->SetActualXDimensionIsOdd( fft->GetActualXDimensionIsOddOutput() );
  halfToFullFilter->SetInput( fft->GetOutput() );
  halfToFullFilter->Update();
  halfToFullFilter->Print(std::cout);

  ComplexImageType::SizeType fftSize = fft->GetOutput()->GetLargestPossibleRegion().GetSize();

  // Test that the output is the expected size.
  ComplexImageType::RegionType halfToFullOutputRegion =
    halfToFullFilter->GetOutput()->GetLargestPossibleRegion();
  ComplexImageType::SizeType halfToFullOutputSize = halfToFullOutputRegion.GetSize();
  if ( halfToFullOutputSize != size )
    {
    std::cerr << "HalfToFullHermitianImageFilter did not produce an image of the expected size. "
              << std::endl;
    std::cerr << "Expected size " << size << ", output size is " << halfToFullOutputSize
              << std::endl;
    return EXIT_FAILURE;
    }

  // Test that the full image has the Hermitian property.
  ComplexImageType::IndexType conjugateRegionIndex;
  conjugateRegionIndex.Fill( 0 );
  conjugateRegionIndex[0] = static_cast< ComplexImageType::IndexValueType >( fftSize[0] ) +
    indexShift[0];
  conjugateRegionIndex[1] = indexShift[1];
  ComplexImageType::SizeType conjugateRegionSize( size );
  conjugateRegionSize[0] -= fftSize[0];
  itk::ImageRegion< ComplexImageType::ImageDimension > conjugateRegion( conjugateRegionIndex,
                                                                        conjugateRegionSize );

  typedef itk::ImageRegionConstIteratorWithIndex< ComplexImageType > ComplexIteratorType;
  ComplexIteratorType it( halfToFullFilter->GetOutput(), conjugateRegion );
  for (it.GoToBegin(); !it.IsAtEnd(); ++it)
    {
    ComplexImageType::IndexType conjugateIndex = it.GetIndex();

    // Flip the indices about the center of the image.
    ComplexImageType::IndexType index( conjugateIndex );
    for (unsigned int i = 0; i < ComplexImageType::ImageDimension; ++i)
      {
      if ( conjugateIndex[i] != indexShift[i] )
        {
        index[i] = size[i] - conjugateIndex[i] + 2*indexShift[i];
        }
      }
    if ( it.Get() != std::conj( halfToFullFilter->GetOutput()->GetPixel( index ) ) )
      {
      std::cerr << std::endl << "Mismatch found in conjugate index " << conjugateIndex
                << " (original index " << index << "). Expected "
                << std::conj( halfToFullFilter->GetOutput()->GetPixel( index ) )
                << ", got " << it.Get() << "." << std::endl;
      return EXIT_FAILURE;
      }
    }

  return EXIT_SUCCESS;
}