void
  CalculateFirstOrderStatistics(itk::Image<TPixel, VImageDimension>* itkImage, mitk::Image::Pointer mask, mitk::GIFFirstOrderStatistics::FeatureListType & featureList)
{
  typedef itk::Image<TPixel, VImageDimension> ImageType;
  typedef itk::Image<int, VImageDimension> MaskType;
  typedef itk::LabelStatisticsImageFilter<ImageType, MaskType> FilterType;
  typedef typename FilterType::HistogramType HistogramType;
  typedef typename HistogramType::IndexType HIndexType;
  typedef itk::MinimumMaximumImageCalculator<ImageType> MinMaxComputerType;

  typename MaskType::Pointer maskImage = MaskType::New();
  mitk::CastToItkImage(mask, maskImage);

  typename MinMaxComputerType::Pointer minMaxComputer = MinMaxComputerType::New();
  minMaxComputer->SetImage(itkImage);
  minMaxComputer->Compute();
  double imageRange = minMaxComputer->GetMaximum() -  minMaxComputer->GetMinimum();

  typename FilterType::Pointer labelStatisticsImageFilter = FilterType::New();
  labelStatisticsImageFilter->SetInput( itkImage );
  labelStatisticsImageFilter->SetLabelInput(maskImage);
  labelStatisticsImageFilter->SetUseHistograms(true);
  labelStatisticsImageFilter->SetHistogramParameters(256, minMaxComputer->GetMinimum(),minMaxComputer->GetMaximum());
  labelStatisticsImageFilter->Update();

  // --------------- Range --------------------
  double range = labelStatisticsImageFilter->GetMaximum(1) - labelStatisticsImageFilter->GetMinimum(1);
  // --------------- Uniformity, Entropy --------------------
  double count = labelStatisticsImageFilter->GetCount(1);
  double std_dev = labelStatisticsImageFilter->GetSigma(1);
  double mean = labelStatisticsImageFilter->GetMean(1);
  auto histogram = labelStatisticsImageFilter->GetHistogram(1);
  HIndexType index;
  index.SetSize(1);
  double binWidth = histogram->GetBinMax(0, 0) - histogram->GetBinMin(0, 0);

  double uniformity = 0;
  double entropy = 0;
  double squared_sum = 0;
  double kurtosis = 0;
  double mean_absolut_deviation = 0;
  double skewness = 0;

  for (int i = 0; i < (int)(histogram->GetSize(0)); ++i)
  {
    index[0] = i;
    double prob = histogram->GetFrequency(index);
    double voxelValue = histogram->GetBinMin(0, i) +binWidth * 0.5;

    squared_sum += prob * voxelValue*voxelValue;
    kurtosis += prob* (voxelValue - mean) * (voxelValue - mean) * (voxelValue - mean) * (voxelValue - mean);
    skewness += prob* (voxelValue - mean) * (voxelValue - mean) * (voxelValue - mean);
    mean_absolut_deviation = prob* std::abs(voxelValue - mean);

    prob /= count;
    uniformity += prob*prob;
    if (prob > 0)
      entropy += prob * std::log(prob);
  }
  double rms = std::sqrt(squared_sum / count);
  kurtosis = kurtosis / count / (std_dev * std_dev);
  skewness = skewness / count / (std_dev * std_dev * std_dev);
  mean_absolut_deviation = mean_absolut_deviation / count;
  double coveredGrayValueRange = range / imageRange;

  featureList.push_back(std::make_pair("FirstOrder Range",range));
  featureList.push_back(std::make_pair("FirstOrder Uniformity",uniformity));
  featureList.push_back(std::make_pair("FirstOrder Entropy",entropy));
  featureList.push_back(std::make_pair("FirstOrder Energy",squared_sum));
  featureList.push_back(std::make_pair("FirstOrder RMS",rms));
  featureList.push_back(std::make_pair("FirstOrder Kurtosis",kurtosis));
  featureList.push_back(std::make_pair("FirstOrder Skewness",skewness));
  featureList.push_back(std::make_pair("FirstOrder Mean absolute deviation",mean_absolut_deviation));
  featureList.push_back(std::make_pair("FirstOrder Covered Image Intensity Range",coveredGrayValueRange));

  featureList.push_back(std::make_pair("FirstOrder Minimum",labelStatisticsImageFilter->GetMinimum(1)));
  featureList.push_back(std::make_pair("FirstOrder Maximum ",labelStatisticsImageFilter->GetMaximum(1)));
  featureList.push_back(std::make_pair("FirstOrder Mean",labelStatisticsImageFilter->GetMean(1)));
  featureList.push_back(std::make_pair("FirstOrder Variance",labelStatisticsImageFilter->GetVariance(1)));
  featureList.push_back(std::make_pair("FirstOrder Sum",labelStatisticsImageFilter->GetSum(1)));
  featureList.push_back(std::make_pair("FirstOrder Median",labelStatisticsImageFilter->GetMedian(1)));
  featureList.push_back(std::make_pair("FirstOrder Standard deviation",labelStatisticsImageFilter->GetSigma(1)));
  featureList.push_back(std::make_pair("FirstOrder No. of Voxel",labelStatisticsImageFilter->GetCount(1)));
}
void
CalculateFirstOrderStatistics(itk::Image<TPixel, VImageDimension>* itkImage, mitk::Image::Pointer mask, mitk::GIFFirstOrderStatistics::FeatureListType & featureList, mitk::GIFFirstOrderStatistics::ParameterStruct params)
{
  typedef itk::Image<TPixel, VImageDimension> ImageType;
  typedef itk::Image<unsigned short, VImageDimension> MaskType;
  typedef itk::LabelStatisticsImageFilter<ImageType, MaskType> FilterType;
  typedef typename FilterType::HistogramType HistogramType;
  typedef typename HistogramType::IndexType HIndexType;
  typedef itk::MinimumMaximumImageCalculator<ImageType> MinMaxComputerType;

  typename MaskType::Pointer maskImage = MaskType::New();
  mitk::CastToItkImage(mask, maskImage);

  double voxelVolume = 1;
  for (unsigned int i = 0; i < std::min<unsigned int>(3, VImageDimension); ++i)
    voxelVolume *= itkImage->GetSpacing()[i];
  double voxelSpace = 1;
  for (unsigned int i = 0; i < VImageDimension; ++i)
    voxelSpace *= itkImage->GetSpacing()[i];

  typename MinMaxComputerType::Pointer minMaxComputer = MinMaxComputerType::New();
  minMaxComputer->SetImage(itkImage);
  minMaxComputer->Compute();
  double imageRange = minMaxComputer->GetMaximum() -  minMaxComputer->GetMinimum();

  typename FilterType::Pointer labelStatisticsImageFilter = FilterType::New();
  labelStatisticsImageFilter->SetInput( itkImage );
  labelStatisticsImageFilter->SetLabelInput(maskImage);
  labelStatisticsImageFilter->SetUseHistograms(true);

  double min = params.MinimumIntensity;
  double max = params.MaximumIntensity;

  labelStatisticsImageFilter->SetHistogramParameters(params.Bins, min,max);
  labelStatisticsImageFilter->Update();

  // --------------- Range --------------------
  double range = labelStatisticsImageFilter->GetMaximum(1) - labelStatisticsImageFilter->GetMinimum(1);
  // --------------- Uniformity, Entropy --------------------
  double count = labelStatisticsImageFilter->GetCount(1);
  //double std_dev = labelStatisticsImageFilter->GetSigma(1);
  double mean = labelStatisticsImageFilter->GetMean(1);
  double median = labelStatisticsImageFilter->GetMedian(1);
  auto histogram = labelStatisticsImageFilter->GetHistogram(1);
  bool histogramIsCalculated = histogram;

  HIndexType index;
  index.SetSize(1);

  double uniformity = 0;
  double entropy = 0;
  double squared_sum = 0;
  double kurtosis = 0;
  double mean_absolut_deviation = 0;
  double median_absolut_deviation = 0;
  double skewness = 0;
  double sum_prob = 0;
  double binWidth = 0;
  double p05th = 0, p10th = 0, p15th = 0, p20th = 0, p25th = 0, p30th = 0, p35th = 0, p40th = 0, p45th = 0, p50th = 0;
  double p55th = 0, p60th = 0, p65th = 0, p70th = 0, p75th = 0, p80th = 0, p85th = 0, p90th = 0, p95th = 0;

  double voxelValue = 0;

  if (histogramIsCalculated)
  {
    binWidth = histogram->GetBinMax(0, 0) - histogram->GetBinMin(0, 0);
    p05th = histogram->Quantile(0, 0.05);
    p10th = histogram->Quantile(0, 0.10);
    p15th = histogram->Quantile(0, 0.15);
    p20th = histogram->Quantile(0, 0.20);
    p25th = histogram->Quantile(0, 0.25);
    p30th = histogram->Quantile(0, 0.30);
    p35th = histogram->Quantile(0, 0.35);
    p40th = histogram->Quantile(0, 0.40);
    p45th = histogram->Quantile(0, 0.45);
    p50th = histogram->Quantile(0, 0.50);
    p55th = histogram->Quantile(0, 0.55);
    p60th = histogram->Quantile(0, 0.60);
    p65th = histogram->Quantile(0, 0.65);
    p70th = histogram->Quantile(0, 0.70);
    p75th = histogram->Quantile(0, 0.75);
    p80th = histogram->Quantile(0, 0.80);
    p85th = histogram->Quantile(0, 0.85);
    p90th = histogram->Quantile(0, 0.90);
    p95th = histogram->Quantile(0, 0.95);
  }
  double Log2=log(2);
  double mode_bin;
  double mode_value = 0;
  double variance = 0;
  if (histogramIsCalculated)
  {
    for (int i = 0; i < (int)(histogram->GetSize(0)); ++i)
    {
      index[0] = i;
      double prob = histogram->GetFrequency(index);


      if (prob < 0.00000001)
        continue;

      voxelValue = histogram->GetBinMin(0, i) + binWidth * 0.5;

      if (prob > mode_value)
      {
        mode_value = prob;
        mode_bin = voxelValue;
      }

      sum_prob += prob;
      squared_sum += prob * voxelValue*voxelValue;

      prob /= count;
      mean_absolut_deviation += prob* std::abs(voxelValue - mean);
      median_absolut_deviation += prob* std::abs(voxelValue - median);
      variance += prob * (voxelValue - mean) * (voxelValue - mean);

      kurtosis += prob* (voxelValue - mean) * (voxelValue - mean) * (voxelValue - mean) * (voxelValue - mean);
      skewness += prob* (voxelValue - mean) * (voxelValue - mean) * (voxelValue - mean);

      uniformity += prob*prob;
      if (prob > 0)
      {
        entropy += prob * std::log(prob) / Log2;
      }
    }
  }
  entropy = -entropy;

  double uncorrected_std_dev = std::sqrt(variance);
  double rms = std::sqrt(squared_sum / count);
  kurtosis = kurtosis / (variance * variance);
  skewness = skewness / (variance * uncorrected_std_dev);
  double coveredGrayValueRange = range / imageRange;
  double coefficient_of_variation = (mean == 0) ? 0 : std::sqrt(variance) / mean;
  double quantile_coefficient_of_dispersion = (p75th - p25th) / (p75th + p25th);

  //Calculate the robust mean absolute deviation
  //First, set all frequencies to 0 that are <10th or >90th percentile
  double meanRobust = 0.0;
  double robustMeanAbsoluteDeviation = 0.0;
  if (histogramIsCalculated)
  {
    for (int i = 0; i < (int)(histogram->GetSize(0)); ++i)
    {
      index[0] = i;
      if (histogram->GetBinMax(0, i) < p10th)
      {
        histogram->SetFrequencyOfIndex(index, 0);
      }
      else if (histogram->GetBinMin(0, i) > p90th)
      {
        histogram->SetFrequencyOfIndex(index, 0);
      }
    }

    //Calculate the mean
    for (int i = 0; i < (int)(histogram->GetSize(0)); ++i)
    {
      index[0] = i;
      meanRobust += histogram->GetFrequency(index) * 0.5 * (histogram->GetBinMin(0, i) + histogram->GetBinMax(0, i));
    }
    meanRobust = meanRobust / histogram->GetTotalFrequency();
    for (int i = 0; i < (int)(histogram->GetSize(0)); ++i)
    {
      index[0] = i;
      robustMeanAbsoluteDeviation += std::abs(histogram->GetFrequency(index) *
        ((0.5 * (histogram->GetBinMin(0, i) + histogram->GetBinMax(0, i)))
        - meanRobust
        ));
    }
    robustMeanAbsoluteDeviation = robustMeanAbsoluteDeviation / histogram->GetTotalFrequency();
  }

  featureList.push_back(std::make_pair(params.prefix + "Mean", labelStatisticsImageFilter->GetMean(1)));
  featureList.push_back(std::make_pair(params.prefix + "Unbiased Variance", labelStatisticsImageFilter->GetVariance(1))); //Siehe Definition von Unbiased Variance estimation. (Wird nicht durch n sondern durch n-1 normalisiert)
  featureList.push_back(std::make_pair(params.prefix + "Biased Variance", variance));
  featureList.push_back(std::make_pair(params.prefix + "Skewness", skewness));
  featureList.push_back(std::make_pair(params.prefix + "Kurtosis", kurtosis));
  featureList.push_back(std::make_pair(params.prefix + "Median", labelStatisticsImageFilter->GetMedian(1)));
  featureList.push_back(std::make_pair(params.prefix + "Minimum", labelStatisticsImageFilter->GetMinimum(1)));
  featureList.push_back(std::make_pair(params.prefix + "Maximum", labelStatisticsImageFilter->GetMaximum(1)));
  featureList.push_back(std::make_pair(params.prefix + "Range", range));
  featureList.push_back(std::make_pair(params.prefix + "Mean Absolute Deviation", mean_absolut_deviation));
  featureList.push_back(std::make_pair(params.prefix + "Robust Mean Absolute Deviation", robustMeanAbsoluteDeviation));
  featureList.push_back(std::make_pair(params.prefix + "Median Absolute Deviation", median_absolut_deviation));
  featureList.push_back(std::make_pair(params.prefix + "Coefficient Of Variation", coefficient_of_variation));
  featureList.push_back(std::make_pair(params.prefix + "Quantile Coefficient Of Dispersion", quantile_coefficient_of_dispersion));
  featureList.push_back(std::make_pair(params.prefix + "Energy", squared_sum));
  featureList.push_back(std::make_pair(params.prefix + "Root Mean Square", rms));

  typename HistogramType::MeasurementVectorType mv(1);
  mv[0] = 0;
  typename HistogramType::IndexType resultingIndex;
  histogram->GetIndex(mv, resultingIndex);
  featureList.push_back(std::make_pair(params.prefix + "Robust Mean", meanRobust));
  featureList.push_back(std::make_pair(params.prefix + "Uniformity", uniformity));
  featureList.push_back(std::make_pair(params.prefix + "Entropy", entropy));
  featureList.push_back(std::make_pair(params.prefix + "Excess Kurtosis", kurtosis - 3));
  featureList.push_back(std::make_pair(params.prefix + "Covered Image Intensity Range", coveredGrayValueRange));
  featureList.push_back(std::make_pair(params.prefix + "Sum", labelStatisticsImageFilter->GetSum(1)));
  featureList.push_back(std::make_pair(params.prefix + "Mode", mode_bin));
  featureList.push_back(std::make_pair(params.prefix + "Mode Probability", mode_value));
  featureList.push_back(std::make_pair(params.prefix + "Unbiased Standard deviation", labelStatisticsImageFilter->GetSigma(1)));
  featureList.push_back(std::make_pair(params.prefix + "Biased Standard deviation", sqrt(variance)));
  featureList.push_back(std::make_pair(params.prefix + "Number Of Voxels", labelStatisticsImageFilter->GetCount(1)));

  featureList.push_back(std::make_pair(params.prefix + "05th Percentile", p05th));
  featureList.push_back(std::make_pair(params.prefix + "10th Percentile", p10th));
  featureList.push_back(std::make_pair(params.prefix + "15th Percentile", p15th));
  featureList.push_back(std::make_pair(params.prefix + "20th Percentile", p20th));
  featureList.push_back(std::make_pair(params.prefix + "25th Percentile", p25th));
  featureList.push_back(std::make_pair(params.prefix + "30th Percentile", p30th));
  featureList.push_back(std::make_pair(params.prefix + "35th Percentile", p35th));
  featureList.push_back(std::make_pair(params.prefix + "40th Percentile", p40th));
  featureList.push_back(std::make_pair(params.prefix + "45th Percentile", p45th));
  featureList.push_back(std::make_pair(params.prefix + "50th Percentile", p50th));
  featureList.push_back(std::make_pair(params.prefix + "55th Percentile", p55th));
  featureList.push_back(std::make_pair(params.prefix + "60th Percentile", p60th));
  featureList.push_back(std::make_pair(params.prefix + "65th Percentile", p65th));
  featureList.push_back(std::make_pair(params.prefix + "70th Percentile", p70th));
  featureList.push_back(std::make_pair(params.prefix + "75th Percentile", p75th));
  featureList.push_back(std::make_pair(params.prefix + "80th Percentile", p80th));
  featureList.push_back(std::make_pair(params.prefix + "85th Percentile", p85th));
  featureList.push_back(std::make_pair(params.prefix + "90th Percentile", p90th));
  featureList.push_back(std::make_pair(params.prefix + "95th Percentile", p95th));
  featureList.push_back(std::make_pair(params.prefix + "Interquartile Range", (p75th - p25th)));
  featureList.push_back(std::make_pair(params.prefix + "Image Dimension", VImageDimension));
  featureList.push_back(std::make_pair(params.prefix + "Voxel Space", voxelSpace));
  featureList.push_back(std::make_pair(params.prefix + "Voxel Volume", voxelVolume));
}