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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 itkParameterizationQuadEdgeMeshFilter_h
#define itkParameterizationQuadEdgeMeshFilter_h
#include "itkBorderQuadEdgeMeshFilter.h"
#include "itkQuadEdgeMeshParamMatrixCoefficients.h"
namespace itk
{
/** \class ParameterizationQuadEdgeMeshFilter
*
* \brief Compute a planar parameterization of the input mesh.
*
* This filter computes a mapping in between a planar parametric domain and
* one input mesh.
*
* This filter is made for fixed boundary parameterization where the
* parametric domain shape is given by the means of the border transform.
* Then, the position of internal vertices (not on the boundary) is directly
* connected to m_CoefficientsComputation.
*
* This filter internally creates and solves a sparse linear system: storage
* and computation can be set by the means of TSolverTraits. Since for 3D
* meshes, this filter solves for similar sparse linear systems for the three
* dimensions, it is highly recommended to use one direct solver which would
* first decompose sparse matrix (e.g. VNLSparseLUSolverTraits).
*
*
* This implementation was taken from the Insight Journal paper:
* https://www.insight-journal.org/browse/publication/202
*
* \ingroup ITKQuadEdgeMeshFiltering
*
* \sphinx
* \sphinxexample{Filtering/QuadEdgeMeshFiltering/ComputePlanarParameterizationOfAMesh,Compute Planar Parameterization
* Of A Mesh} \endsphinx
*/
template <typename TInputMesh, typename TOutputMesh, typename TSolverTraits>
class ITK_TEMPLATE_EXPORT ParameterizationQuadEdgeMeshFilter
: public QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>
{
public:
ITK_DISALLOW_COPY_AND_MOVE(ParameterizationQuadEdgeMeshFilter);
/** Basic types. */
using Self = ParameterizationQuadEdgeMeshFilter;
using Superclass = QuadEdgeMeshToQuadEdgeMeshFilter<TInputMesh, TOutputMesh>;
using Pointer = SmartPointer<Self>;
using ConstPointer = SmartPointer<const Self>;
/** Input types. */
using InputMeshType = TInputMesh;
using InputMeshPointer = typename InputMeshType::Pointer;
using InputMeshConstPointer = typename InputMeshType::ConstPointer;
using InputCoordinateType = typename InputMeshType::CoordRepType;
using InputCoordRepType = InputCoordinateType;
using InputPointType = typename InputMeshType::PointType;
using InputPointVectorType = typename InputPointType::VectorType;
using InputPointIdentifier = typename InputMeshType::PointIdentifier;
using InputQEType = typename InputMeshType::QEType;
using InputVectorType = typename InputMeshType::VectorType;
using InputEdgeListType = typename InputMeshType::EdgeListType;
using InputPixelType = typename InputMeshType::PixelType;
using InputTraits = typename InputMeshType::Traits;
static constexpr unsigned int InputVDimension = InputMeshType::PointDimension;
using InputPointsContainer = typename InputMeshType::PointsContainer;
using InputPointsContainerConstIterator = typename InputMeshType::PointsContainerConstIterator;
using InputCellsContainerConstIterator = typename InputMeshType::CellsContainerConstIterator;
using InputEdgeCellType = typename InputMeshType::EdgeCellType;
using InputPolygonCellType = typename InputMeshType::PolygonCellType;
using InputPointIdList = typename InputMeshType::PointIdList;
using InputQEIterator = typename InputQEType::IteratorGeom;
using InputMapPointIdentifier = std::map<InputPointIdentifier, InputPointIdentifier>;
using InputMapPointIdentifierIterator = typename InputMapPointIdentifier::iterator;
/** Output types. */
using OutputMeshType = TOutputMesh;
using OutputMeshPointer = typename OutputMeshType::Pointer;
using OutputMeshConstPointer = typename OutputMeshType::ConstPointer;
using OutputCoordinateType = typename OutputMeshType::CoordRepType;
using OutputCoordRepType = OutputCoordinateType;
using OutputPointType = typename OutputMeshType::PointType;
using OutputPointIdentifier = typename OutputMeshType::PointIdentifier;
using OutputQEType = typename OutputMeshType::QEType;
using OutputVectorType = typename OutputMeshType::VectorType;
using OutputQEIterator = typename OutputQEType::IteratorGeom;
using OutputPointsContainerIterator = typename OutputMeshType::PointsContainerIterator;
static constexpr unsigned int OutputVDimension = OutputMeshType::PointDimension;
using SolverTraits = TSolverTraits;
using ValueType = typename SolverTraits::ValueType;
using MatrixType = typename SolverTraits::MatrixType;
using VectorType = typename SolverTraits::VectorType;
using MeshBorderTransform = BorderQuadEdgeMeshFilter<InputMeshType, InputMeshType>;
using MeshBorderTransformPointer = typename MeshBorderTransform::Pointer;
using CoefficientsComputation = MatrixCoefficients<InputMeshType>;
public:
void
SetCoefficientsMethod(CoefficientsComputation * iMethod)
{
this->m_CoefficientsMethod = iMethod;
}
itkNewMacro(Self);
itkOverrideGetNameOfClassMacro(ParameterizationQuadEdgeMeshFilter);
itkSetObjectMacro(BorderTransform, MeshBorderTransform);
itkGetModifiableObjectMacro(BorderTransform, MeshBorderTransform);
protected:
ParameterizationQuadEdgeMeshFilter();
~ParameterizationQuadEdgeMeshFilter() override = default;
void
PrintSelf(std::ostream & os, Indent indent) const override;
CoefficientsComputation * m_CoefficientsMethod{};
MeshBorderTransformPointer m_BorderTransform{};
// first is the id of the input mesh and second is the corresponding id
// in m_BoundaryPtMap
InputMapPointIdentifier m_BoundaryPtMap{};
// first is the id of the input mesh and second is the corresponding id
// in m_InternalPtList
InputMapPointIdentifier m_InternalPtMap{};
std::vector<OutputPointType> m_Border{};
void
CopyToOutputBorder();
/**
* \brief From the list of all vertices from the input mesh InputList
* and the list of boundary vertices BoundaryList, Store in
* m_InternalPtList the list of interior vertices (i.e. vertices in
* InputList and not in BoundaryList )
*
* \note I consider ids of points are well chosen (from 0 to
* NumberOfPoints)
*/
void
ComputeListOfInteriorVertices();
/**
* \brief Fill matrix iM and vectors Bx and m_By depending on if one
* vertex is on the border or not.
* \param[in] iM
* \param[in,out] ioBx
* \param[in,out] ioBy
*/
void
FillMatrix(MatrixType & iM, VectorType & ioBx, VectorType & ioBy);
/**
* \brief Solve linear systems : \f$ iM \cdot oX = iBx \f$ and
* \f$ iM \cdot oY = iBy \f$
*
* \param[in] iM
* \param[in] iBx
* \param[in] iBy
* \param[out] oX
* \param[out] oY
*/
void
SolveLinearSystems(const MatrixType & iM,
const VectorType & iBx,
const VectorType & iBy,
VectorType & oX,
VectorType & oY);
void
GenerateData() override;
private:
};
} // end namespace itk
#include "itkParameterizationQuadEdgeMeshFilter.hxx"
#endif
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