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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 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 systemis 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://hdl.handle.net/1926/1315 or
* http://www.insight-journal.org/browse/publication/202
*
* \ingroup ITKQuadEdgeMeshFiltering
*
* \wiki
* \wikiexample{Meshes/QuadEdgeMeshParameterizationFilter,Planar parameterization of a mesh}
* \endwiki
*/
template< typename TInputMesh, typename TOutputMesh, typename TSolverTraits >
class ITK_TEMPLATE_EXPORT ParameterizationQuadEdgeMeshFilter:
public QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh, TOutputMesh >
{
public:
/** Basic types. */
typedef ParameterizationQuadEdgeMeshFilter Self;
typedef QuadEdgeMeshToQuadEdgeMeshFilter< TInputMesh,
TOutputMesh > Superclass;
typedef SmartPointer< Self > Pointer;
typedef SmartPointer< const Self > ConstPointer;
/** Input types. */
typedef TInputMesh InputMeshType;
typedef typename InputMeshType::Pointer InputMeshPointer;
typedef typename InputMeshType::ConstPointer InputMeshConstPointer;
typedef typename InputMeshType::CoordRepType InputCoordRepType;
typedef typename InputMeshType::PointType InputPointType;
typedef typename InputPointType::VectorType InputPointVectorType;
typedef typename InputMeshType::PointIdentifier InputPointIdentifier;
typedef typename InputMeshType::QEType InputQEType;
typedef typename InputMeshType::VectorType InputVectorType;
typedef typename InputMeshType::EdgeListType InputEdgeListType;
typedef typename InputMeshType::PixelType InputPixelType;
typedef typename InputMeshType::Traits InputTraits;
itkStaticConstMacro(InputVDimension, unsigned int, InputMeshType::PointDimension);
typedef typename InputMeshType::PointsContainer InputPointsContainer;
typedef typename InputMeshType::PointsContainerConstIterator InputPointsContainerConstIterator;
typedef typename InputMeshType::CellsContainerConstIterator InputCellsContainerConstIterator;
typedef typename InputMeshType::EdgeCellType InputEdgeCellType;
typedef typename InputMeshType::PolygonCellType InputPolygonCellType;
typedef typename InputMeshType::PointIdList InputPointIdList;
typedef typename InputQEType::IteratorGeom InputQEIterator;
typedef std::map< InputPointIdentifier, InputPointIdentifier > InputMapPointIdentifier;
typedef typename InputMapPointIdentifier::iterator InputMapPointIdentifierIterator;
/** Output types. */
typedef TOutputMesh OutputMeshType;
typedef typename OutputMeshType::Pointer OutputMeshPointer;
typedef typename OutputMeshType::ConstPointer OutputMeshConstPointer;
typedef typename OutputMeshType::CoordRepType OutputCoordRepType;
typedef typename OutputMeshType::PointType OutputPointType;
typedef typename OutputMeshType::PointIdentifier OutputPointIdentifier;
typedef typename OutputMeshType::QEType OutputQEType;
typedef typename OutputMeshType::VectorType OutputVectorType;
typedef typename OutputQEType::IteratorGeom OutputQEIterator;
typedef typename OutputMeshType::PointsContainerIterator OutputPointsContainerIterator;
itkStaticConstMacro(OutputVDimension, unsigned int, OutputMeshType::PointDimension);
typedef TSolverTraits SolverTraits;
typedef typename SolverTraits::ValueType ValueType;
typedef typename SolverTraits::MatrixType MatrixType;
typedef typename SolverTraits::VectorType VectorType;
typedef BorderQuadEdgeMeshFilter< InputMeshType, InputMeshType > MeshBorderTransform;
typedef typename MeshBorderTransform::Pointer MeshBorderTransformPointer;
typedef MatrixCoefficients< InputMeshType > CoefficientsComputation;
public:
void SetCoefficientsMethod(CoefficientsComputation *iMethod)
{
this->m_CoefficientsMethod = iMethod;
}
itkNewMacro(Self);
itkTypeMacro(ParameterizationQuadEdgeMeshFilter, QuadEdgeMeshToQuadEdgeMeshFilter);
itkSetObjectMacro(BorderTransform, MeshBorderTransform);
itkGetModifiableObjectMacro(BorderTransform, MeshBorderTransform);
protected:
ParameterizationQuadEdgeMeshFilter();
virtual ~ParameterizationQuadEdgeMeshFilter() ITK_OVERRIDE {}
void PrintSelf(std::ostream & os, Indent indent) const ITK_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 linears 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() ITK_OVERRIDE;
private:
ITK_DISALLOW_COPY_AND_ASSIGN(ParameterizationQuadEdgeMeshFilter);
};
} // end namespace itk
#include "itkParameterizationQuadEdgeMeshFilter.hxx"
#endif
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