/*========================================================================= * * 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 * * https://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 itkVectorLinearInterpolateImageFunction_hxx #define itkVectorLinearInterpolateImageFunction_hxx #include "itkMath.h" #include // For min and max. namespace itk { template const unsigned long VectorLinearInterpolateImageFunction::m_Neighbors = 1 << TInputImage::ImageDimension; template auto VectorLinearInterpolateImageFunction::EvaluateAtContinuousIndex( const ContinuousIndexType & index) const -> OutputType { // // Compute base index = closet index below point // Compute distance from point to base index // IndexType baseIndex; InternalComputationType distance[ImageDimension]; const TInputImage * const inputImgPtr = this->GetInputImage(); for (unsigned int dim = 0; dim < ImageDimension; ++dim) { baseIndex[dim] = Math::Floor(index[dim]); distance[dim] = index[dim] - static_cast(baseIndex[dim]); } /** * Interpolated value is the weighted sum of each of the surrounding * neighbors. The weight for each neighbor is the fraction overlap * of the neighbor pixel with respect to a pixel centered on point. */ OutputType output; output.Fill(0.0); using ScalarRealType = typename NumericTraits::ScalarRealType; ScalarRealType totalOverlap{}; for (unsigned int counter = 0; counter < m_Neighbors; ++counter) { InternalComputationType overlap = 1.0; // fraction overlap unsigned int upper = counter; // each bit indicates upper/lower neighbour IndexType neighIndex; // get neighbor index and overlap fraction for (unsigned int dim = 0; dim < ImageDimension; ++dim) { if (upper & 1) { neighIndex[dim] = baseIndex[dim] + 1; // Take care of the case where the pixel is just // in the outer upper boundary of the image grid. neighIndex[dim] = std::min(neighIndex[dim], this->m_EndIndex[dim]); overlap *= distance[dim]; } else { neighIndex[dim] = baseIndex[dim]; // Take care of the case where the pixel is just // in the outer lower boundary of the image grid. neighIndex[dim] = std::max(neighIndex[dim], this->m_StartIndex[dim]); overlap *= 1.0 - distance[dim]; } upper >>= 1; } // get neighbor value only if overlap is not zero if (overlap) { const PixelType & input = inputImgPtr->GetPixel(neighIndex); for (unsigned int k = 0; k < Dimension; ++k) { output[k] += overlap * static_cast(input[k]); } totalOverlap += overlap; } if (totalOverlap == 1.0) { // finished break; } } return (output); } } // end namespace itk #endif