/*========================================================================= * * Copyright NumFOCUS * * 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. * *=========================================================================*/ #ifndef itkFastSymmetricForcesDemonsRegistrationFunction_hxx #define itkFastSymmetricForcesDemonsRegistrationFunction_hxx #include "itkFastSymmetricForcesDemonsRegistrationFunction.h" #include "itkMacro.h" #include "itkMath.h" namespace itk { /** * Default constructor */ template FastSymmetricForcesDemonsRegistrationFunction:: FastSymmetricForcesDemonsRegistrationFunction() { RadiusType r; unsigned int j; for (j = 0; j < ImageDimension; j++) { r[j] = 0; } this->SetRadius(r); m_TimeStep = 1.0; m_DenominatorThreshold = 1e-9; m_IntensityDifferenceThreshold = 0.001; this->SetMovingImage(nullptr); this->SetFixedImage(nullptr); m_Normalizer = 0.0; m_FixedImageGradientCalculator = GradientCalculatorType::New(); typename DefaultInterpolatorType::Pointer interp = DefaultInterpolatorType::New(); m_MovingImageInterpolator = static_cast(interp.GetPointer()); m_WarpedMovingImageGradientCalculator = MovingGradientCalculatorType::New(); m_MovingImageWarper = WarperType::New(); m_MovingImageWarper->SetInterpolator(m_MovingImageInterpolator); m_Metric = NumericTraits::max(); m_SumOfSquaredDifference = 0.0; m_NumberOfPixelsProcessed = 0L; m_RMSChange = NumericTraits::max(); m_SumOfSquaredChange = 0.0; } /** * Standard "PrintSelf" method. */ template void FastSymmetricForcesDemonsRegistrationFunction::PrintSelf( std::ostream & os, Indent indent) const { Superclass::PrintSelf(os, indent); os << indent << "MovingImageIterpolator: "; os << m_MovingImageInterpolator.GetPointer() << std::endl; os << indent << "FixedImageGradientCalculator: "; os << m_FixedImageGradientCalculator.GetPointer() << std::endl; os << indent << "DenominatorThreshold: "; os << m_DenominatorThreshold << std::endl; os << indent << "IntensityDifferenceThreshold: "; os << m_IntensityDifferenceThreshold << std::endl; os << indent << "Metric: "; os << m_Metric << std::endl; os << indent << "SumOfSquaredDifference: "; os << m_SumOfSquaredDifference << std::endl; os << indent << "NumberOfPixelsProcessed: "; os << m_NumberOfPixelsProcessed << std::endl; os << indent << "RMSChange: "; os << m_RMSChange << std::endl; os << indent << "SumOfSquaredChange: "; os << m_SumOfSquaredChange << std::endl; } /** * */ template void FastSymmetricForcesDemonsRegistrationFunction:: SetIntensityDifferenceThreshold(double threshold) { m_IntensityDifferenceThreshold = threshold; } /** * */ template double FastSymmetricForcesDemonsRegistrationFunction:: GetIntensityDifferenceThreshold() const { return m_IntensityDifferenceThreshold; } /** * Set the function state values before each iteration */ template void FastSymmetricForcesDemonsRegistrationFunction::InitializeIteration() { if (!this->GetMovingImage() || !this->GetFixedImage() || !m_MovingImageInterpolator) { itkExceptionMacro(<< "MovingImage, FixedImage and/or Interpolator not set"); } // cache fixed image information const PixelType fixedImageSpacing = this->GetFixedImage()->GetSpacing(); // compute the normalizer m_Normalizer = 0.0; for (unsigned int k = 0; k < ImageDimension; k++) { m_Normalizer += fixedImageSpacing[k] * fixedImageSpacing[k]; } m_Normalizer /= static_cast(ImageDimension); // setup gradient calculator m_FixedImageGradientCalculator->SetInputImage(this->GetFixedImage()); m_MovingImageWarper->SetOutputOrigin(this->GetFixedImage()->GetOrigin()); m_MovingImageWarper->SetOutputSpacing(this->GetFixedImage()->GetSpacing()); m_MovingImageWarper->SetOutputDirection(this->GetFixedImage()->GetDirection()); m_MovingImageWarper->SetInput(this->GetMovingImage()); m_MovingImageWarper->SetDisplacementField(this->GetDisplacementField()); m_MovingImageWarper->Update(); m_WarpedMovingImageGradientCalculator->SetInputImage(this->m_MovingImageWarper->GetOutput()); // setup moving image interpolator for further access m_MovingImageInterpolator->SetInputImage(this->GetMovingImage()); // initialize metric computation variables m_SumOfSquaredDifference = 0.0; m_NumberOfPixelsProcessed = 0L; m_SumOfSquaredChange = 0.0; } /** * Compute update at a non boundary neighbourhood */ template typename FastSymmetricForcesDemonsRegistrationFunction::PixelType FastSymmetricForcesDemonsRegistrationFunction::ComputeUpdate( const NeighborhoodType & it, void * gd, const FloatOffsetType & itkNotUsed(offset)) { auto * globalData = (GlobalDataStruct *)gd; const IndexType FirstIndex = this->GetFixedImage()->GetLargestPossibleRegion().GetIndex(); const IndexType LastIndex = this->GetFixedImage()->GetLargestPossibleRegion().GetIndex() + this->GetFixedImage()->GetLargestPossibleRegion().GetSize(); const IndexType index = it.GetIndex(); // Get fixed image related information // Note: no need to check the index is within // fixed image buffer. This is done by the external filter. const auto fixedValue = (double)this->GetFixedImage()->GetPixel(index); const CovariantVectorType fixedGradient = m_FixedImageGradientCalculator->EvaluateAtIndex(index); // Get moving image related information // use warped moving image to get moving value and gradient fast(er). const auto movingValue = (double)m_MovingImageWarper->GetOutput()->GetPixel(index); const CovariantVectorType movingGradient = m_WarpedMovingImageGradientCalculator->EvaluateAtIndex(index); // unfortunately (since it's a little redundant) we still need the mapped // center point coordinates PointType mappedCenterPoint; this->GetFixedImage()->TransformIndexToPhysicalPoint(index, mappedCenterPoint); for (unsigned int dim = 0; dim < ImageDimension; dim++) { mappedCenterPoint[dim] += it.GetCenterPixel()[dim]; } /** * Compute Update. * In the original equation the denominator is defined as * * (g-f)^2 + (moving_grad+fixed_grad)_mag^2 * * However there is a mismatch in units between the two terms. * The units for the second term is intensity^2/mm^2 while the * units for the first term is intensity^2. This mismatch is particularly * problematic when the fixed image does not have unit spacing. * In this implementation, we normalize the first term by a factor K, * such that denominator = (g-f)^2/K + grad_mag^2 * where K = mean square spacing to compensate for the mismatch in units. */ double fixedPlusMovingGradientSquaredMagnitude = 0; for (unsigned int dim = 0; dim < ImageDimension; dim++) { fixedPlusMovingGradientSquaredMagnitude += itk::Math::sqr(fixedGradient[dim] + movingGradient[dim]); } const double speedValue = fixedValue - movingValue; const double denominator = itk::Math::sqr(speedValue) / m_Normalizer + fixedPlusMovingGradientSquaredMagnitude; PixelType update; if (itk::Math::abs(speedValue) < m_IntensityDifferenceThreshold || denominator < m_DenominatorThreshold) { update.Fill(0.0); } else { for (unsigned int j = 0; j < ImageDimension; j++) { update[j] = 2 * speedValue * (movingGradient[j] + fixedGradient[j]) / denominator; } } // update the squared change value PointType newMappedCenterPoint; bool IsOutsideRegion = false; for (unsigned int j = 0; j < ImageDimension; j++) { if (globalData) { globalData->m_SumOfSquaredChange += itk::Math::sqr(update[j]); newMappedCenterPoint[j] = mappedCenterPoint[j] + update[j]; if (index[j] < (FirstIndex[j] + 2) || index[j] > (LastIndex[j] - 3)) { IsOutsideRegion = true; } } } // update the metric with the latest deformable field double newMovingValue = 0; if (globalData) { // do not consider voxel on the border (2 voxels) as there are often // artefacts // which falsify the metric if (!IsOutsideRegion) { if (m_MovingImageInterpolator->IsInsideBuffer(newMappedCenterPoint)) { newMovingValue = m_MovingImageInterpolator->Evaluate(newMappedCenterPoint); } else { newMovingValue = 0; } globalData->m_SumOfSquaredDifference += itk::Math::sqr(fixedValue - newMovingValue); globalData->m_NumberOfPixelsProcessed += 1; } } return update; } /** * Update the metric and release the per-thread-global data. */ template void FastSymmetricForcesDemonsRegistrationFunction::ReleaseGlobalDataPointer( void * gd) const { auto * globalData = (GlobalDataStruct *)gd; m_MetricCalculationLock.lock(); m_SumOfSquaredDifference += globalData->m_SumOfSquaredDifference; m_NumberOfPixelsProcessed += globalData->m_NumberOfPixelsProcessed; m_SumOfSquaredChange += globalData->m_SumOfSquaredChange; if (m_NumberOfPixelsProcessed) { m_Metric = m_SumOfSquaredDifference / static_cast(m_NumberOfPixelsProcessed); m_RMSChange = std::sqrt(m_SumOfSquaredChange / static_cast(m_NumberOfPixelsProcessed)); } m_MetricCalculationLock.unlock(); delete globalData; } } // end namespace itk #endif