File: itkHessian3DToVesselnessMeasureImageFilter.h

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/*=========================================================================
 *
 *  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 itkHessian3DToVesselnessMeasureImageFilter_h
#define itkHessian3DToVesselnessMeasureImageFilter_h

#include "itkSymmetricSecondRankTensor.h"
#include "itkSymmetricEigenAnalysisImageFilter.h"

namespace itk
{
/**
 * \class Hessian3DToVesselnessMeasureImageFilter
 * \brief Line filter to provide a vesselness measure for tubular objects from the
 * hessian matrix.
 *
 * The filter takes as input an image of hessian pixels
 * (SymmetricSecondRankTensor pixels) and preserves pixels that have
 * eigen values \f$ \lambda_3 \f$ close to 0 and \f$\lambda_2\f$ and \f$\lambda_1\f$ as
 * large negative values (for bright tubular structures).
 *
 * \f[ | \lambda_1 | < | \lambda_2 | < | \lambda_3 | \f]
 *
 * \par Notes:
 * The filter takes into account that the eigen values play a crucial role in
 * discriminating shape and orientation of structures.
 *
 * \li Bright tubular structures will have low \f$\lambda_1\f$ and large negative
 * values of \f$\lambda_2\f$ and \f$\lambda_3\f$.
 * \li Conversely dark tubular structures will have a low value of
 * \f$\lambda_1\f$ and large positive values of \f$\lambda_2\f$ and
 * \f$\lambda_3\f$.
 * \li Bright plate like structures have low values of \f$\lambda_1\f$ and
 * \f$\lambda_2\f$ and large negative values of \f$\lambda_3\f$
 * \li Dark plate like structures have low values of \f$\lambda_1\f$ and
 * \f$\lambda_2\f$ and large positive values of \f$\lambda_3\f$
 * \li Bright spherical (blob) like structures have all three eigen values as
 * large negative numbers
 * \li Dark spherical (blob) like structures have all three eigen values as
 * large positive numbers
 *
 * This filter is used to discriminate the Bright tubular structures.
 *
 * \par References:
 * "3D Multi-scale line filter for segmentation and visualization of
 * curvilinear structures in medical images",
 * Yoshinobu Sato, Shin Nakajima, Hideki Atsumi, Thomas Koller,
 * Guido Gerig, Shigeyuki Yoshida, Ron Kikinis.
 *
 * http://www.image.med.osaka-u.ac.jp/member/yoshi/paper/linefilter.pdf
 *
 *
 * \sa HessianRecursiveGaussianImageFilter
 * \sa SymmetricEigenAnalysisImageFilter
 * \sa SymmetricSecondRankTensor
 *
 * \ingroup IntensityImageFilters TensorObjects
 *
 * \ingroup ITKImageFeature
 */

template <typename TPixel>
class ITK_TEMPLATE_EXPORT Hessian3DToVesselnessMeasureImageFilter
  : public ImageToImageFilter<Image<SymmetricSecondRankTensor<double, 3>, 3>, Image<TPixel, 3>>
{
public:
  ITK_DISALLOW_COPY_AND_MOVE(Hessian3DToVesselnessMeasureImageFilter);

  /** Standard class type aliases. */
  using Self = Hessian3DToVesselnessMeasureImageFilter;
  using Superclass = ImageToImageFilter<Image<SymmetricSecondRankTensor<double, 3>, 3>, Image<TPixel, 3>>;

  using Pointer = SmartPointer<Self>;
  using ConstPointer = SmartPointer<const Self>;

  using typename Superclass::InputImageType;
  using typename Superclass::OutputImageType;
  using InputPixelType = typename InputImageType::PixelType;
  using OutputPixelType = TPixel;

  /** Image dimension = 3. */
  static constexpr unsigned int ImageDimension = InputImageType::ImageDimension;
  static constexpr unsigned int InputPixelDimension = InputPixelType::Dimension;

  using EigenValueArrayType = FixedArray<double, Self::InputPixelDimension>;
  using EigenValueImageType = Image<EigenValueArrayType, Self::ImageDimension>;
  using EigenAnalysisFilterType =
    SymmetricEigenAnalysisFixedDimensionImageFilter<ImageDimension, InputImageType, EigenValueImageType>;

  /** \see LightObject::GetNameOfClass() */
  itkOverrideGetNameOfClassMacro(Hessian3DToVesselnessMeasureImageFilter);

  /** Method for creation through the object factory. */
  itkNewMacro(Self);

  /** Set/Get macros for alpha_1. Please refer to
   * http://www.image.med.osaka-u.ac.jp/member/yoshi/paper/linefilter.pdf */
  itkSetMacro(Alpha1, double);
  itkGetConstMacro(Alpha1, double);

  /** Set/Get macros for alpha_2. Please refer to
   * http://www.image.med.osaka-u.ac.jp/member/yoshi/paper/linefilter.pdf */
  itkSetMacro(Alpha2, double);
  itkGetConstMacro(Alpha2, double);

#ifdef ITK_USE_CONCEPT_CHECKING
  // Begin concept checking
  itkConceptMacro(DoubleConvertibleToOutputCheck, (Concept::Convertible<double, OutputPixelType>));
  // End concept checking
#endif

protected:
  Hessian3DToVesselnessMeasureImageFilter();
  ~Hessian3DToVesselnessMeasureImageFilter() override = default;
  void
  PrintSelf(std::ostream & os, Indent indent) const override;

  /** Generate Data */
  void
  GenerateData() override;

private:
  typename EigenAnalysisFilterType::Pointer m_SymmetricEigenValueFilter{};

  double m_Alpha1{};
  double m_Alpha2{};
};
} // end namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#  include "itkHessian3DToVesselnessMeasureImageFilter.hxx"
#endif

#endif