/*========================================================================= * * 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 itkBresenhamLine_hxx #define itkBresenhamLine_hxx #include "itkPoint.h" #include "itkMath.h" namespace itk { template auto BresenhamLine::BuildLine(LType Direction, IdentifierType length) -> OffsetArray { // copied from the line iterator /** Variables that drive the Bresenham-Algorithm */ // The dimension with the largest difference between start and end unsigned int m_MainDirection; // Accumulated error for the other dimensions IndexType m_AccumulateError; // Increment for the error for each step. Two times the difference between // start and end IndexType m_IncrementError; // If enough is accumulated for a dimension, the index has to be // incremented. Will be the number of pixels in the line IndexType m_MaximalError; // Direction of increment. -1 or 1 IndexType m_OverflowIncrement; // After an overflow, the accumulated error is reduced again. Will be // two times the number of pixels in the line IndexType m_ReduceErrorAfterIncrement; OffsetArray result(length); IndexType m_CurrentImageIndex, LastIndex; Direction.Normalize(); // we are going to start at 0 m_CurrentImageIndex.Fill(0); constexpr IndexType StartIndex = { { 0 } }; for (unsigned int i = 0; i < VDimension; ++i) { LastIndex[i] = (IndexValueType)(length * Direction[i]); } // Find the dominant direction IndexValueType maxDistance = 0; unsigned int maxDistanceDimension = 0; for (unsigned int i = 0; i < VDimension; ++i) { auto distance = static_cast(itk::Math::abs(LastIndex[i])); if (distance > maxDistance) { maxDistance = distance; maxDistanceDimension = i; } m_IncrementError[i] = 2 * distance; m_OverflowIncrement[i] = (LastIndex[i] < 0 ? -1 : 1); } m_MainDirection = maxDistanceDimension; m_MaximalError.Fill(maxDistance); m_ReduceErrorAfterIncrement.Fill(2 * maxDistance); m_AccumulateError.Fill(0); unsigned int steps = 1; result[0] = m_CurrentImageIndex - StartIndex; while (steps < length) { // This part is from ++ in LineConstIterator // We need to modify m_AccumulateError, m_CurrentImageIndex, m_IsAtEnd for (unsigned int i = 0; i < VDimension; ++i) { if (i == m_MainDirection) { m_CurrentImageIndex[i] += m_OverflowIncrement[i]; } else { m_AccumulateError[i] += m_IncrementError[i]; if (m_AccumulateError[i] >= m_MaximalError[i]) { m_CurrentImageIndex[i] += m_OverflowIncrement[i]; m_AccumulateError[i] -= m_ReduceErrorAfterIncrement[i]; } } } result[steps] = m_CurrentImageIndex - StartIndex; // produce an offset ++steps; } return (result); } template auto BresenhamLine::BuildLine(IndexType p0, IndexType p1) -> IndexArray { itk::Point point0; itk::Point point1; IdentifierType maxDistance = 0; for (unsigned int i = 0; i < VDimension; ++i) { point0[i] = p0[i]; point1[i] = p1[i]; IdentifierType distance = itk::Math::abs(p0[i] - p1[i]) + 1; if (distance > maxDistance) { maxDistance = distance; } } OffsetArray offsets = this->BuildLine(point1 - point0, maxDistance + 1); IndexArray indices; indices.reserve(offsets.size()); // we might not have to use the last one for (unsigned int i = 0; i < offsets.size(); ++i) { indices.push_back(p0 + offsets[i]); if (indices.back() == p1) { break; } } return indices; } } // namespace itk #endif