Examples/Filtering/SigmoidImageFilter.cxx

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//  Software Guide : BeginCommandLineArgs
//    INPUTS:  {BrainProtonDensitySlice.png}
//    OUTPUTS: {SigmoidImageFilterOutput.png}
//    ARGUMENTS:    10 240 10 170
//  Software Guide : EndCommandLineArgs
 
//  Software Guide : BeginLatex
//
//  The \doxygen{SigmoidImageFilter} is commonly used as an intensity
//  transform.  It maps a specific range of intensity values into a new
//  intensity range by making a very smooth and continuous transition in the
//  borders of the range.  Sigmoids are widely used as a mechanism for
//  focusing attention on a particular set of values and progressively
//  attenuating the values outside that range. In order to extend the
//  flexibility of the Sigmoid filter, its implementation in ITK includes four
//  parameters that can be tuned to select its input and output intensity
//  ranges. The following equation represents the Sigmoid intensity
//  transformation, applied pixel-wise.
//
//  \begin{equation}
//  I' = (Max-Min)\cdot \frac{1}{\left(1+e^{-\left(\frac{ I - \beta }{\alpha }
//  \right)} \right)} + Min \end{equation}
//
//  In the equation above, $I$ is the intensity of the input pixel, $I'$ the
//  intensity of the output pixel, $Min,Max$ are the minimum and maximum
//  values of the output image, $\alpha$ defines the width of the input
//  intensity range, and $\beta$ defines the intensity around which the range
//  is centered. Figure~\ref{fig:SigmoidParameters} illustrates the
//  significance of each parameter.
//
// \begin{figure} \center
// \includegraphics[width=0.44\textwidth]{SigmoidParameterAlpha}
// \includegraphics[width=0.44\textwidth]{SigmoidParameterBeta}
// \itkcaption[Sigmoid Parameters]{Effects of the various parameters in the
// SigmoidImageFilter.  The alpha parameter defines the width of the intensity
// window.  The beta parameter defines the center of the intensity window.}
// \label{fig:SigmoidParameters} \end{figure}
//
//  This filter will work on images of any dimension and will take advantage
//  of multiple processors when available.
//
//  \index{itk::SigmoidImageFilter }
//
//  Software Guide : EndLatex
 
 
#include "itkImage.h"
#include "itkImageFileReader.h"
#include "itkImageFileWriter.h"
 
 
//  Software Guide : BeginLatex
//
//  The header file corresponding to this filter should be included first.
//
//  \index{itk::SigmoidImageFilter!header}
//
//  Software Guide : EndLatex
 
 
// Software Guide : BeginCodeSnippet
#include "itkSigmoidImageFilter.h"
// Software Guide : EndCodeSnippet
 
 
int
main(int argc, char * argv[])
{
  if (argc < 7)
  {
    std::cerr << "Usage: " << std::endl;
    std::cerr << argv[0] << "  inputImageFile   outputImageFile";
    std::cerr << " OutputMin OutputMax SigmoidAlpha SigmoidBeta" << std::endl;
    return EXIT_FAILURE;
  }
 
  //  Software Guide : BeginLatex
  //
  //  Then pixel and image types for the filter input and output must be
  //  defined.
  //
  //  Software Guide : EndLatex
 
  // Software Guide : BeginCodeSnippet
  using InputPixelType = unsigned char;
  using OutputPixelType = unsigned char;
 
  using InputImageType = itk::Image<InputPixelType, 2>;
  using OutputImageType = itk::Image<OutputPixelType, 2>;
  // Software Guide : EndCodeSnippet
 
  using ReaderType = itk::ImageFileReader<InputImageType>;
  using WriterType = itk::ImageFileWriter<OutputImageType>;
 
  ReaderType::Pointer reader = ReaderType::New();
  WriterType::Pointer writer = WriterType::New();
 
  reader->SetFileName(argv[1]);
  writer->SetFileName(argv[2]);
 
 
  //  Software Guide : BeginLatex
  //
  //  Using the image types, we instantiate the filter type
  //  and create the filter object.
  //
  //  \index{itk::SigmoidImageFilter!instantiation}
  //  \index{itk::SigmoidImageFilter!New()}
  //  \index{itk::SigmoidImageFilter!Pointer}
  //
  //  Software Guide : EndLatex
 
  // Software Guide : BeginCodeSnippet
  using SigmoidFilterType =
    itk::SigmoidImageFilter<InputImageType, OutputImageType>;
  SigmoidFilterType::Pointer sigmoidFilter = SigmoidFilterType::New();
  // Software Guide : EndCodeSnippet
 
 
  //  Software Guide : BeginLatex
  //
  //  The minimum and maximum values desired in the output are defined using
  //  the methods \code{SetOutputMinimum()} and \code{SetOutputMaximum()}.
  //
  //  \index{itk::SigmoidImageFilter!SetOutputMaximum()}
  //  \index{itk::SigmoidImageFilter!SetOutputMinimum()}
  //
  //  Software Guide : EndLatex
 
  const OutputPixelType outputMinimum = std::stoi(argv[3]);
  const OutputPixelType outputMaximum = std::stoi(argv[4]);
 
  // Software Guide : BeginCodeSnippet
  sigmoidFilter->SetOutputMinimum(outputMinimum);
  sigmoidFilter->SetOutputMaximum(outputMaximum);
  // Software Guide : EndCodeSnippet
 
 
  //  Software Guide : BeginLatex
  //
  //  The coefficients $\alpha$ and $\beta$ are set with the methods
  //  \code{SetAlpha()} and \code{SetBeta()}.  Note that $\alpha$ is
  //  proportional to the width of the input intensity window.  As rule of
  //  thumb, we may say that the window is the interval $[-3\alpha, 3\alpha]$.
  //  The boundaries of the intensity window are not sharp.  The $\alpha$
  //  curve approaches its extrema smoothly, as shown in
  //  Figure~\ref{fig:SigmoidParameters}.  You may want to think about this in
  //  the same terms as when taking a range in a population of measures by
  //  defining an interval of $[-3 \sigma, +3 \sigma]$ around the population
  //  mean.
  //
  //  \index{itk::SigmoidImageFilter!SetAlpha()}
  //  \index{itk::SigmoidImageFilter!SetBeta()}
  //
  //  Software Guide : EndLatex
 
  const double alpha = std::stod(argv[5]);
  const double beta = std::stod(argv[6]);
 
  // Software Guide : BeginCodeSnippet
  sigmoidFilter->SetAlpha(alpha);
  sigmoidFilter->SetBeta(beta);
  // Software Guide : EndCodeSnippet
 
 
  //  Software Guide : BeginLatex
  //
  //  The input to the SigmoidImageFilter can be taken from any other filter,
  //  such as an image file reader, for example. The output can be passed down
  //  the pipeline to other filters, like an image file writer. An
  //  \code{Update()} call on any downstream filter will trigger the execution
  //  of the Sigmoid filter.
  //
  //  \index{itk::SigmoidImageFilter!SetInput()}
  //  \index{itk::SigmoidImageFilter!GetOutput()}
  //
  //  Software Guide : EndLatex
 
 
  // Software Guide : BeginCodeSnippet
  sigmoidFilter->SetInput(reader->GetOutput());
  writer->SetInput(sigmoidFilter->GetOutput());
  writer->Update();
  // Software Guide : EndCodeSnippet
 
 
  //  Software Guide : BeginLatex
  //
  // \begin{figure}
  // \center
  // \includegraphics[width=0.44\textwidth]{BrainProtonDensitySlice}
  // \includegraphics[width=0.44\textwidth]{SigmoidImageFilterOutput}
  // \itkcaption[Effect of the Sigmoid filter.]{Effect of the Sigmoid filter
  // on a slice from a MRI proton density brain image.}
  // \label{fig:SigmoidImageFilterOutput}
  // \end{figure}
  //
  //  Figure~\ref{fig:SigmoidImageFilterOutput} illustrates the effect of this
  //  filter on a slice of MRI brain image using the following parameters.
  //
  //  \begin{itemize}
  //  \item Minimum =  10
  //  \item Maximum = 240
  //  \item $\alpha$ =  10
  //  \item $\beta$ = 170
  //  \end{itemize}
  //
  //  As can be seen from the figure, the intensities of the white matter
  //  were expanded in their dynamic range, while intensity values lower than
  //  $\beta - 3 \alpha$ and higher than $\beta + 3\alpha$ became
  //  progressively mapped to the minimum and maximum output values. This is
  //  the way in which a Sigmoid can be used for performing smooth intensity
  //  windowing.
  //
  //  Note that both $\alpha$ and $\beta$ can be positive and negative. A
  //  negative $\alpha$ will have the effect of \emph{negating} the image.
  //  This is illustrated on the left side of
  //  Figure~\ref{fig:SigmoidParameters}. An application of the Sigmoid filter
  //  as preprocessing for segmentation is presented in
  //  Section~\ref{sec:FastMarchingImageFilter}.
  //
  //  Sigmoid curves are common in the natural world.  They represent the
  //  plot of sensitivity to a stimulus. They are also the integral curve of
  //  the Gaussian and, therefore, appear naturally as the response to signals
  //  whose distribution is Gaussian.
  //
  //  Software Guide : EndLatex
 
 
  return EXIT_SUCCESS;
}