ITK/Examples/Registration/MutualInformationAffine
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MutualInformationAffine.cxx
<source lang="cpp">
- include "itkImageRegistrationMethod.h"
- include "itkAffineTransform.h"
- include "itkMutualInformationImageToImageMetric.h"
- include "itkGradientDescentOptimizer.h"
- include "itkNormalizeImageFilter.h"
- include "itkDiscreteGaussianImageFilter.h"
- include "itkResampleImageFilter.h"
- include "itkCastImageFilter.h"
- include "itkCheckerBoardImageFilter.h"
- include "itkEllipseSpatialObject.h"
- include "itkSpatialObjectToImageFilter.h"
- include "itkImageFileWriter.h"
const unsigned int Dimension = 2; typedef unsigned char PixelType;
typedef itk::Image< PixelType, Dimension > ImageType;
static void CreateEllipseImage(ImageType::Pointer image); static void CreateCircleImage(ImageType::Pointer image);
int main( int argc, char *argv[] ) {
// Generate synthetic fixed and moving images ImageType::Pointer fixedImage = ImageType::New(); CreateCircleImage(fixedImage); ImageType::Pointer movingImage = ImageType::New(); CreateEllipseImage(movingImage);
// Write the two synthetic inputs typedef itk::ImageFileWriter< ImageType > WriterType;
WriterType::Pointer fixedWriter = WriterType::New(); fixedWriter->SetFileName("fixed.png"); fixedWriter->SetInput( fixedImage); fixedWriter->Update();
WriterType::Pointer movingWriter = WriterType::New(); movingWriter->SetFileName("moving.png"); movingWriter->SetInput( movingImage); movingWriter->Update();
// We use floats internally typedef float InternalPixelType; typedef itk::Image< float, Dimension> InternalImageType;
// Normalize the images typedef itk::NormalizeImageFilter<ImageType, InternalImageType> NormalizeFilterType;
NormalizeFilterType::Pointer fixedNormalizer = NormalizeFilterType::New(); NormalizeFilterType::Pointer movingNormalizer = NormalizeFilterType::New();
fixedNormalizer->SetInput( fixedImage); movingNormalizer->SetInput( movingImage);
// Smooth the normalized images typedef itk::DiscreteGaussianImageFilter<InternalImageType,InternalImageType> GaussianFilterType;
GaussianFilterType::Pointer fixedSmoother = GaussianFilterType::New(); GaussianFilterType::Pointer movingSmoother = GaussianFilterType::New();
fixedSmoother->SetVariance( 2.0 ); movingSmoother->SetVariance( 2.0 );
fixedSmoother->SetInput( fixedNormalizer->GetOutput() ); movingSmoother->SetInput( movingNormalizer->GetOutput() );
typedef itk::AffineTransform< double, Dimension > TransformType; typedef itk::GradientDescentOptimizer OptimizerType; typedef itk::LinearInterpolateImageFunction< InternalImageType, double > InterpolatorType; typedef itk::ImageRegistrationMethod< InternalImageType, InternalImageType > RegistrationType; typedef itk::MutualInformationImageToImageMetric< InternalImageType, InternalImageType > MetricType;
TransformType::Pointer transform = TransformType::New(); OptimizerType::Pointer optimizer = OptimizerType::New(); InterpolatorType::Pointer interpolator = InterpolatorType::New(); RegistrationType::Pointer registration = RegistrationType::New();
registration->SetOptimizer( optimizer ); registration->SetTransform( transform ); registration->SetInterpolator( interpolator );
MetricType::Pointer metric = MetricType::New(); registration->SetMetric( metric );
// The metric requires a number of parameters to be selected, including // the standard deviation of the Gaussian kernel for the fixed image // density estimate, the standard deviation of the kernel for the moving // image density and the number of samples use to compute the densities // and entropy values. Details on the concepts behind the computation of // the metric can be found in Section // \ref{sec:MutualInformationMetric}. Experience has // shown that a kernel standard deviation of $0.4$ works well for images // which have been normalized to a mean of zero and unit variance. We // will follow this empirical rule in this example.
metric->SetFixedImageStandardDeviation( 0.4 ); metric->SetMovingImageStandardDeviation( 0.4 );
registration->SetFixedImage( fixedSmoother->GetOutput() ); registration->SetMovingImage( movingSmoother->GetOutput() );
fixedNormalizer->Update(); ImageType::RegionType fixedImageRegion = fixedNormalizer->GetOutput()->GetBufferedRegion(); registration->SetFixedImageRegion( fixedImageRegion );
typedef RegistrationType::ParametersType ParametersType; ParametersType initialParameters( transform->GetNumberOfParameters() );
// rotation matrix (identity) initialParameters[0] = 1.0; // R(0,0) initialParameters[1] = 0.0; // R(0,1) initialParameters[2] = 0.0; // R(1,0) initialParameters[3] = 1.0; // R(1,1)
// translation vector initialParameters[4] = 0.0; initialParameters[5] = 0.0;
registration->SetInitialTransformParameters( initialParameters );
// Software Guide : BeginLatex // // We should now define the number of spatial samples to be considered in // the metric computation. Note that we were forced to postpone this setting // until we had done the preprocessing of the images because the number of // samples is usually defined as a fraction of the total number of pixels in // the fixed image. // // The number of spatial samples can usually be as low as $1\%$ of the total // number of pixels in the fixed image. Increasing the number of samples // improves the smoothness of the metric from one iteration to another and // therefore helps when this metric is used in conjunction with optimizers // that rely of the continuity of the metric values. The trade-off, of // course, is that a larger number of samples result in longer computation // times per every evaluation of the metric. // // It has been demonstrated empirically that the number of samples is not a // critical parameter for the registration process. When you start fine // tuning your own registration process, you should start using high values // of number of samples, for example in the range of $20\%$ to $50\%$ of the // number of pixels in the fixed image. Once you have succeeded to register // your images you can then reduce the number of samples progressively until // you find a good compromise on the time it takes to compute one evaluation // of the Metric. Note that it is not useful to have very fast evaluations // of the Metric if the noise in their values results in more iterations // being required by the optimizer to converge. You must then study the // behavior of the metric values as the iterations progress.
const unsigned int numberOfPixels = fixedImageRegion.GetNumberOfPixels();
const unsigned int numberOfSamples = static_cast< unsigned int >( numberOfPixels * 0.01 );
metric->SetNumberOfSpatialSamples( numberOfSamples );
//optimizer->SetLearningRate( 15.0 ); //"All the sampled point mapped to outside of the moving image" //optimizer->SetLearningRate( 1.0 ); optimizer->SetLearningRate( 0.1 ); optimizer->SetNumberOfIterations( 1000 ); optimizer->MaximizeOn(); // We want to maximize mutual information (the default of the optimizer is to minimize)
// Note that large values of the learning rate will make the optimizer // unstable. Small values, on the other hand, may result in the optimizer // needing too many iterations in order to walk to the extrema of the cost // function. The easy way of fine tuning this parameter is to start with // small values, probably in the range of $\{5.0,10.0\}$. Once the other // registration parameters have been tuned for producing convergence, you // may want to revisit the learning rate and start increasing its value until // you observe that the optimization becomes unstable. The ideal value for // this parameter is the one that results in a minimum number of iterations // while still keeping a stable path on the parametric space of the // optimization. Keep in mind that this parameter is a multiplicative factor // applied on the gradient of the Metric. Therefore, its effect on the // optimizer step length is proportional to the Metric values themselves. // Metrics with large values will require you to use smaller values for the // learning rate in order to maintain a similar optimizer behavior.
try { registration->Update(); std::cout << "Optimizer stop condition: " << registration->GetOptimizer()->GetStopConditionDescription() << std::endl; } catch( itk::ExceptionObject & err ) { std::cout << "ExceptionObject caught !" << std::endl; std::cout << err << std::endl; return EXIT_FAILURE; }
ParametersType finalParameters = registration->GetLastTransformParameters();
std::cout << "Final Parameters: " << finalParameters << std::endl;
unsigned int numberOfIterations = optimizer->GetCurrentIteration();
double bestValue = optimizer->GetValue();
// Print out results std::cout << std::endl; std::cout << "Result = " << std::endl; std::cout << " Iterations = " << numberOfIterations << std::endl; std::cout << " Metric value = " << bestValue << std::endl; std::cout << " Numb. Samples = " << numberOfSamples << std::endl;
typedef itk::ResampleImageFilter< ImageType, ImageType > ResampleFilterType;
TransformType::Pointer finalTransform = TransformType::New();
finalTransform->SetParameters( finalParameters ); finalTransform->SetFixedParameters( transform->GetFixedParameters() );
ResampleFilterType::Pointer resample = ResampleFilterType::New();
resample->SetTransform( finalTransform ); resample->SetInput( movingImage);
resample->SetSize( fixedImage->GetLargestPossibleRegion().GetSize() ); resample->SetOutputOrigin( fixedImage->GetOrigin() ); resample->SetOutputSpacing( fixedImage->GetSpacing() ); resample->SetOutputDirection( fixedImage->GetDirection() ); resample->SetDefaultPixelValue( 100 );
WriterType::Pointer writer = WriterType::New(); writer->SetFileName("output.png"); writer->SetInput( resample->GetOutput() ); writer->Update();
return EXIT_SUCCESS;
}
void CreateEllipseImage(ImageType::Pointer image)
{
typedef itk::EllipseSpatialObject< Dimension > EllipseType;
typedef itk::SpatialObjectToImageFilter< EllipseType, ImageType > SpatialObjectToImageFilterType;
SpatialObjectToImageFilterType::Pointer imageFilter = SpatialObjectToImageFilterType::New();
ImageType::SizeType size; size[ 0 ] = 100; size[ 1 ] = 100;
imageFilter->SetSize( size );
ImageType::SpacingType spacing; spacing.Fill(1); imageFilter->SetSpacing(spacing);
EllipseType::Pointer ellipse = EllipseType::New(); EllipseType::ArrayType radiusArray; radiusArray[0] = 10; radiusArray[1] = 20; ellipse->SetRadius(radiusArray);
typedef EllipseType::TransformType TransformType; TransformType::Pointer transform = TransformType::New(); transform->SetIdentity();
TransformType::OutputVectorType translation; TransformType::CenterType center;
translation[ 0 ] = 65; translation[ 1 ] = 45; transform->Translate( translation, false );
ellipse->SetObjectToParentTransform( transform );
imageFilter->SetInput(ellipse);
ellipse->SetDefaultInsideValue(255); ellipse->SetDefaultOutsideValue(0); imageFilter->SetUseObjectValue( true ); imageFilter->SetOutsideValue( 0 );
imageFilter->Update();
image->Graft(imageFilter->GetOutput());
}
void CreateCircleImage(ImageType::Pointer image) {
typedef itk::EllipseSpatialObject< Dimension > EllipseType;
typedef itk::SpatialObjectToImageFilter< EllipseType, ImageType > SpatialObjectToImageFilterType;
SpatialObjectToImageFilterType::Pointer imageFilter = SpatialObjectToImageFilterType::New();
ImageType::SizeType size; size[ 0 ] = 100; size[ 1 ] = 100;
imageFilter->SetSize( size );
ImageType::SpacingType spacing; spacing.Fill(1); imageFilter->SetSpacing(spacing);
EllipseType::Pointer ellipse = EllipseType::New(); EllipseType::ArrayType radiusArray; radiusArray[0] = 10; radiusArray[1] = 10; ellipse->SetRadius(radiusArray);
typedef EllipseType::TransformType TransformType; TransformType::Pointer transform = TransformType::New(); transform->SetIdentity();
TransformType::OutputVectorType translation; TransformType::CenterType center;
translation[ 0 ] = 50; translation[ 1 ] = 50; transform->Translate( translation, false );
ellipse->SetObjectToParentTransform( transform );
imageFilter->SetInput(ellipse);
ellipse->SetDefaultInsideValue(255); ellipse->SetDefaultOutsideValue(0); imageFilter->SetUseObjectValue( true ); imageFilter->SetOutsideValue( 0 );
imageFilter->Update();
image->Graft(imageFilter->GetOutput());
} </source>
CMakeLists.txt
<source lang="cmake"> cmake_minimum_required(VERSION 2.6)
PROJECT(MutualInformationAffine)
FIND_PACKAGE(ITK REQUIRED) INCLUDE(${ITK_USE_FILE})
ADD_EXECUTABLE(MutualInformationAffine MutualInformationAffine.cxx) TARGET_LINK_LIBRARIES(MutualInformationAffine ITKIO ITKNumerics)
</source>