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));
}
void UnivariateDistribution<T>::QuantileFunction(const std::vector<double> &p, std::vector<double> &y)
{
int size = std::min(p.size(), y.size());
for (int i = 0; i != size; ++i)
y[i] = Quantile(p[i]);
}