Transform one border of a QuadEdgeMesh into either a circle (conformal) or a square (arclength-wise). More...

#include <itkBorderQuadEdgeMeshFilter.h>

Inheritance diagram for itk::BorderQuadEdgeMeshFilter< TInputMesh, TOutputMesh >:

Collaboration diagram for itk::BorderQuadEdgeMeshFilter< TInputMesh, TOutputMesh >:

Public Types
enum	BorderPickType { LONGEST = 0, LARGEST }
enum	BorderTransformType { SQUARE_BORDER_TRANSFORM = 0, DISK_BORDER_TRANSFORM }
typedef BoundaryRepresentativeEdgesType::Pointer	BoundaryRepresentativeEdgesPointer
typedef QuadEdgeMeshBoundaryEdgesMeshFunction < InputMeshType >	BoundaryRepresentativeEdgesType
typedef SmartPointer< const Self >	ConstPointer
typedef InputMeshType::CellsContainerConstIterator	InputCellsContainerConstIterator
typedef InputMeshType::CoordRepType	InputCoordRepType
typedef InputMeshType::EdgeCellType	InputEdgeCellType
typedef InputEdgeListType::iterator	InputEdgeListIterator
typedef InputMeshType::EdgeListPointerType	InputEdgeListPointerType
typedef InputMeshType::EdgeListType	InputEdgeListType
typedef InputQEType::IteratorGeom	InputIteratorGeom
typedef InputMeshType::ConstPointer	InputMeshConstPointer
typedef TInputMesh	InputMeshType
typedef InputMeshType::PointIdentifier	InputPointIdentifier
typedef InputMeshType::PointIdList	InputPointIdList
typedef InputMeshType::PointsContainer	InputPointsContainer
typedef InputMeshType::PointsContainerConstIterator	InputPointsContainerConstIterator
typedef InputMeshType::PointType	InputPointType
typedef InputMeshType::PolygonCellType	InputPolygonCellType
typedef InputMeshType::QEType	InputQEType
typedef InputMeshType::Traits	InputTraits
typedef std::vector < InputPointType >	InputVectorPointType
typedef InputMeshType::VectorType	InputVectorType
typedef std::map < InputPointIdentifier, OutputPointIdentifier >	MapPointIdentifier
typedef MapPointIdentifier::iterator	MapPointIdentifierIterator
typedef OutputMeshType::CellsContainerConstIterator	OutputCellsContainerConstIterator
typedef OutputMeshType::CoordRepType	OutputCoordRepType
typedef OutputMeshType::EdgeCellType	OutputEdgeCellType
typedef OutputMeshType::EdgeListType	OutputEdgeListType
typedef OutputMeshType::Pointer	OutputMeshPointer
typedef TOutputMesh	OutputMeshType
typedef OutputMeshType::PointIdentifier	OutputPointIdentifier
typedef OutputMeshType::PointIdList	OutputPointIdList
typedef OutputMeshType::PointsContainer	OutputPointsContainer
typedef OutputMeshType::PointsContainerConstIterator	OutputPointsContainerConstIterator
typedef OutputMeshType::PointType	OutputPointType
typedef OutputMeshType::PolygonCellType	OutputPolygonCellType
typedef OutputMeshType::QEType	OutputQEType
typedef OutputMeshType::Traits	OutputTraits
typedef OutputMeshType::VectorType	OutputVectorType
typedef SmartPointer< Self >	Pointer
typedef BorderQuadEdgeMeshFilter	Self
typedef QuadEdgeMeshToQuadEdgeMeshFilter < TInputMesh, TOutputMesh >	Superclass
Public Member Functions
void	ComputeTransform ()
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
InputVectorPointType	GetBorder ()
virtual BorderPickType	GetBorderPick () const
MapPointIdentifier	GetBoundaryPtMap ()
virtual const char *	GetNameOfClass () const
virtual InputCoordRepType	GetRadius () const
virtual BorderTransformType	GetTransformType () const
virtual void	SetBorderPick (BorderPickType _arg)
virtual void	SetRadius (InputCoordRepType _arg)
virtual void	SetTransformType (BorderTransformType _arg)
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	PointDimension = InputTraits::PointDimension
Protected Member Functions
void	ArcLengthSquareTransform ()
	BorderQuadEdgeMeshFilter ()
void	ComputeBoundary ()
InputQEType *	ComputeLargestBorder ()
InputQEType *	ComputeLongestBorder ()
void	DiskTransform ()
void	GenerateData ()
InputPointType	GetMeshBarycentre ()
void	PrintSelf (std::ostream &os, Indent indent) const
InputCoordRepType	RadiusMaxSquare ()
	~BorderQuadEdgeMeshFilter ()
Protected Attributes
InputVectorPointType	m_Border
BorderPickType	m_BorderPick
MapPointIdentifier	m_BoundaryPtMap
InputCoordRepType	m_Radius
BorderTransformType	m_TransformType
Private Member Functions
	BorderQuadEdgeMeshFilter (const Self &)
void	operator= (const Self &)

Detailed Description

template<class TInputMesh, class TOutputMesh = TInputMesh>
class itk::BorderQuadEdgeMeshFilter< TInputMesh, TOutputMesh >

Transform one border of a QuadEdgeMesh into either a circle (conformal) or a square (arclength-wise).

This class is one important step when computing a planar parameterization of one mesh.

If the input mesh has several boundaries, one can choose the one which would be transformed via the variable m_BorderPick.

m_BorderPick == Self::LONGEST refers to the boundary which satisfies:
$b = \arg \max_{b^k} \sum_{i=1}^{N^k} \left\| x_{i}^k - x_{i+1}^k \right\|$

m_BorderPick == Self::LARGEST refers to the boundary which satisfies:
$b = \arg \max_{b^k} N^k$