File: itkParabolicMorphUtils.h

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/*=========================================================================
 *
 *  Copyright Insight Software Consortium
 *
 *  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 itkParabolicUtils_h
#define itkParabolicUtils_h

#include <itkArray.h>

#include "itkProgressReporter.h"
namespace itk
{
template <typename LineBufferType, typename RealType, typename TInputPixel, bool doDilate>
void
DoLine(LineBufferType & LineBuf, LineBufferType & tmpLineBuf, const RealType magnitude)
{
  static constexpr RealType extreme =
    doDilate ? NumericTraits<TInputPixel>::NonpositiveMin() : NumericTraits<TInputPixel>::max();

  // contact point algorithm
  long koffset = 0, newcontact = 0; // how far away the search starts.

  const long LineLength = LineBuf.size();
  // negative half of the parabola
  for (long pos = 0; pos < LineLength; ++pos)
  {
    RealType BaseVal = extreme; // the base value for comparison
    for (long krange = koffset; krange <= 0; ++krange)
    {
      // difference needs to be paramaterised
      RealType T = LineBuf[pos + krange] - magnitude * krange * krange;
      // switch on template parameter - hopefully gets optimized away.
      if (doDilate ? (T >= BaseVal) : (T <= BaseVal))
      {
        BaseVal = T;
        newcontact = krange;
      }
    }
    tmpLineBuf[pos] = BaseVal;
    koffset = newcontact - 1;
  }
  // positive half of parabola
  koffset = newcontact = 0;
  for (long pos = LineLength - 1; pos >= 0; pos--)
  {
    RealType BaseVal = extreme; // the base value for comparison
    for (long krange = koffset; krange >= 0; krange--)
    {
      RealType T = tmpLineBuf[pos + krange] - magnitude * krange * krange;
      if (doDilate ? (T >= BaseVal) : (T <= BaseVal))
      {
        BaseVal = T;
        newcontact = krange;
      }
    }
    LineBuf[pos] = BaseVal;
    koffset = newcontact + 1;
  }
}


template <typename TInIter,
          typename TOutIter,
          typename RealType,
          typename TInputPixel,
          typename OutputPixelType,
          bool doDilate>
void
doOneDimension(TInIter &          inputIterator,
               TOutIter &         outputIterator,
               ProgressReporter & progress,
               const long         LineLength,
               const unsigned     direction,
               const bool         m_UseImageSpacing,
               const RealType     image_scale,
               const RealType     Sigma)
{
  //  using LineBufferType = typename std::vector<RealType>;

  // message from M.Starring suggested performance gain using Array
  // instead of std::vector.
  using LineBufferType = typename itk::Array<RealType>;
  RealType iscale = 1.0;
  if (m_UseImageSpacing)
  {
    iscale = image_scale;
  }
  constexpr int  magnitudeSign = doDilate ? 1 : -1;
  const RealType magnitude = magnitudeSign * 1.0 / (2.0 * Sigma / (iscale * iscale));
  LineBufferType LineBuf(LineLength);
  LineBufferType tmpLineBuf(LineLength);
  inputIterator.SetDirection(direction);
  outputIterator.SetDirection(direction);
  inputIterator.GoToBegin();
  outputIterator.GoToBegin();

  while (!inputIterator.IsAtEnd() && !outputIterator.IsAtEnd())
  {
    // process this direction
    // fetch the line into the buffer - this methodology is like
    // the gaussian filters
    unsigned int i = 0;
    while (!inputIterator.IsAtEndOfLine())
    {
      LineBuf[i++] = static_cast<RealType>(inputIterator.Get());
      ++inputIterator;
    }

    DoLine<LineBufferType, RealType, TInputPixel, doDilate>(LineBuf, tmpLineBuf, magnitude);
    // copy the line back
    unsigned int j = 0;
    while (!outputIterator.IsAtEndOfLine())
    {
      outputIterator.Set(static_cast<OutputPixelType>(LineBuf[j++]));
      ++outputIterator;
    }

    // now onto the next line
    inputIterator.NextLine();
    outputIterator.NextLine();
    progress.CompletedPixel();
  }
}


} // namespace itk
#endif