#include <itkQuadEdgeMeshDecimationQuadricElementHelper.h>

Public Types
using	CoefficientVectorType = vnl_vector_fixed< CoordType, Self::NumberOfCoefficients >

using	CoordType = typename PointType::CoordRepType

using	PointType = TPoint

using	Self = QuadEdgeMeshDecimationQuadricElementHelper

using	TriangleType = TriangleHelper< PointType >

using	VectorType = typename PointType::VectorType

using	VNLMatrixType = vnl_matrix< CoordType >

using	VNLVectorType = vnl_vector_fixed< CoordType, Self::PointDimension >

Public Member Functions
void	AddPoint (const PointType &iP, const VectorType &iN, const CoordType &iWeight=static_cast< CoordType >(1.))

void	AddTriangle (const PointType &iP1, const PointType &iP2, const PointType &iP3, const CoordType &iWeight=static_cast< CoordType >(1.))

CoordType	ComputeError (const PointType &iP) const

CoordType	ComputeErrorAtOptimalLocation (const PointType &iP)

PointType	ComputeOptimalLocation (const PointType &iP)

PointType	ComputeOptimalLocation (const unsigned int &)

VNLMatrixType	GetAMatrix ()

VNLVectorType	GetBVector ()

CoefficientVectorType	GetCoefficients () const

unsigned int	GetRank () const

Self	operator* (const CoordType &iV) const

Self &	operator*= (const CoordType &iV)

Self	operator+ (const Self &iRight) const

Self &	operator+= (const Self &iRight)

Self	operator- (const Self &iRight) const

Self &	operator-= (const Self &iRight)

Self &	operator= (const Self &iRight)

	QuadEdgeMeshDecimationQuadricElementHelper ()

	QuadEdgeMeshDecimationQuadricElementHelper (const CoefficientVectorType &iCoefficients)

	~QuadEdgeMeshDecimationQuadricElementHelper ()=default

Static Public Attributes
static constexpr unsigned int	NumberOfCoefficients = PointDimension * (PointDimension + 1 / 2 + PointDimension + 1)

static constexpr unsigned int	PointDimension = PointType::PointDimension

Protected Member Functions
void	ComputeAMatrixAndBVector ()

Protected Attributes
VNLMatrixType	m_A

VNLVectorType	m_B

CoefficientVectorType	m_Coefficients

unsigned int	m_Rank

CoordType	m_SVDAbsoluteThreshold

CoordType	m_SVDRelativeThreshold

Detailed Description

template<typename TPoint>
class itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >

TODO explicit specification for VDimension=3!!!

Definition at line 32 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Member Typedef Documentation

◆ CoefficientVectorType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::CoefficientVectorType = vnl_vector_fixed<CoordType, Self::NumberOfCoefficients>

Definition at line 45 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ CoordType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::CoordType = typename PointType::CoordRepType

Definition at line 37 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ PointType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointType = TPoint

Definition at line 36 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ Self

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::Self = QuadEdgeMeshDecimationQuadricElementHelper

Definition at line 35 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ TriangleType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::TriangleType = TriangleHelper<PointType>

Definition at line 46 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ VectorType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::VectorType = typename PointType::VectorType

Definition at line 42 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ VNLMatrixType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::VNLMatrixType = vnl_matrix<CoordType>

Definition at line 43 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ VNLVectorType

template<typename TPoint >

using itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::VNLVectorType = vnl_vector_fixed<CoordType, Self::PointDimension>

Definition at line 44 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Constructor & Destructor Documentation

◆ QuadEdgeMeshDecimationQuadricElementHelper() [1/2]

template<typename TPoint >

itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::QuadEdgeMeshDecimationQuadricElementHelper ( )

inline

Definition at line 49 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Rank, and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointDimension.

◆ QuadEdgeMeshDecimationQuadricElementHelper() [2/2]

template<typename TPoint >

itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::QuadEdgeMeshDecimationQuadricElementHelper ( const CoefficientVectorType & iCoefficients )

inline

Definition at line 59 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Rank, and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointDimension.

◆ ~QuadEdgeMeshDecimationQuadricElementHelper()

template<typename TPoint >

itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::~QuadEdgeMeshDecimationQuadricElementHelper ( )

default

Member Function Documentation

◆ AddPoint()

template<typename TPoint >

void itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::AddPoint	(	const PointType &	iP,
		const VectorType &	iN,
		const CoordType &	iWeight = `static_cast<CoordType>(1.)`
	)

inline

Definition at line 183 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients, and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointDimension.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::AddTriangle().

◆ AddTriangle()

template<typename TPoint >

void itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::AddTriangle	(	const PointType &	iP1,
		const PointType &	iP2,
		const PointType &	iP3,
		const CoordType &	iWeight = `static_cast<CoordType>(1.)`
	)

inline

Definition at line 172 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::AddPoint(), and itk::TriangleHelper< TPoint >::ComputeNormal().

Referenced by itk::QuadricDecimationQuadEdgeMeshFilter< TInput, TOutput, TCriterion >::QuadricAtOrigin().

◆ ComputeAMatrixAndBVector()

template<typename TPoint >

void itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector ( )

inlineprotected

Definition at line 263 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_A, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_B, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients, and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointDimension.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetAMatrix(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetBVector(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::QuadEdgeMeshDecimationQuadricElementHelper().

◆ ComputeError()

template<typename TPoint >

CoordType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeError ( const PointType & iP ) const

inline

TODO this method should be really optimized!!!

Definition at line 100 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_A, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_SVDAbsoluteThreshold, and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_SVDRelativeThreshold.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeErrorAtOptimalLocation(), and itk::QuadricDecimationQuadEdgeMeshFilter< TInput, TOutput, TCriterion >::MeasureEdge().

◆ ComputeErrorAtOptimalLocation()

template<typename TPoint >

CoordType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeErrorAtOptimalLocation ( const PointType & iP )

inline

TODO this method should be really optimized!!!

Definition at line 137 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeError(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation().

◆ ComputeOptimalLocation() [1/2]

template<typename TPoint >

PointType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation ( const PointType & iP )

inline

Definition at line 145 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_A, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_B, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Rank, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_SVDAbsoluteThreshold, itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_SVDRelativeThreshold, and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointDimension.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeErrorAtOptimalLocation(), and itk::QuadricDecimationQuadEdgeMeshFilter< TInput, TOutput, TCriterion >::MeasureEdge().

◆ ComputeOptimalLocation() [2/2]

template<typename TPoint >

PointType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation ( const unsigned int & )

inline

TODO to be implemented!!!

Definition at line 168 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ GetAMatrix()

template<typename TPoint >

VNLMatrixType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetAMatrix ( )

inline

Definition at line 79 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_A.

◆ GetBVector()

template<typename TPoint >

VNLVectorType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetBVector ( )

inline

Definition at line 86 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_B.

◆ GetCoefficients()

template<typename TPoint >

CoefficientVectorType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetCoefficients ( ) const

inline

Definition at line 73 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ GetRank()

template<typename TPoint >

unsigned int itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetRank ( ) const

inline

Definition at line 93 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Rank.

◆ operator*()

template<typename TPoint >

Self itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator* ( const CoordType & iV ) const

inline

Definition at line 239 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ operator*=()

template<typename TPoint >

Self& itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator*= ( const CoordType & iV )

inline

Definition at line 247 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ operator+()

template<typename TPoint >

Self itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator+ ( const Self & iRight ) const

inline

Definition at line 214 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ operator+=()

template<typename TPoint >

Self& itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator+= ( const Self & iRight )

inline

Definition at line 220 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ operator-()

template<typename TPoint >

Self itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator- ( const Self & iRight ) const

inline

Definition at line 227 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ operator-=()

template<typename TPoint >

Self& itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator-= ( const Self & iRight )

inline

Definition at line 233 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

◆ operator=()

template<typename TPoint >

Self& itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::operator= ( const Self & iRight )

inline

Definition at line 204 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

References itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients.

Member Data Documentation

◆ m_A

template<typename TPoint >

VNLMatrixType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_A

protected

Definition at line 255 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeError(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetAMatrix().

◆ m_B

template<typename TPoint >

VNLVectorType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_B

protected

Definition at line 256 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetBVector().

◆ m_Coefficients

template<typename TPoint >

CoefficientVectorType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Coefficients

protected

Definition at line 254 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ m_Rank

template<typename TPoint >

unsigned int itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_Rank

protected

Definition at line 257 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::GetRank(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::QuadEdgeMeshDecimationQuadricElementHelper().

◆ m_SVDAbsoluteThreshold

template<typename TPoint >

CoordType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_SVDAbsoluteThreshold

protected

Definition at line 258 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeError(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation().

◆ m_SVDRelativeThreshold

template<typename TPoint >

CoordType itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::m_SVDRelativeThreshold

protected

Definition at line 259 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeError(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation().

◆ NumberOfCoefficients

template<typename TPoint >

constexpr unsigned int itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::NumberOfCoefficients = PointDimension * (PointDimension + 1 / 2 + PointDimension + 1)

staticconstexpr

Definition at line 40 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

◆ PointDimension

template<typename TPoint >

constexpr unsigned int itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::PointDimension = PointType::PointDimension

staticconstexpr

Definition at line 39 of file itkQuadEdgeMeshDecimationQuadricElementHelper.h.

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::AddPoint(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeAMatrixAndBVector(), itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::ComputeOptimalLocation(), and itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::QuadEdgeMeshDecimationQuadricElementHelper().

The documentation for this class was generated from the following file:

itkQuadEdgeMeshDecimationQuadricElementHelper.h

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Detailed Description

template<typename TPoint> class itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >

Member Typedef Documentation

◆ CoefficientVectorType

◆ CoordType

◆ PointType

◆ Self

◆ TriangleType

◆ VectorType

◆ VNLMatrixType

◆ VNLVectorType

Constructor & Destructor Documentation

◆ QuadEdgeMeshDecimationQuadricElementHelper() [1/2]

◆ QuadEdgeMeshDecimationQuadricElementHelper() [2/2]

◆ ~QuadEdgeMeshDecimationQuadricElementHelper()

Member Function Documentation

◆ AddPoint()

◆ AddTriangle()

◆ ComputeAMatrixAndBVector()

◆ ComputeError()

◆ ComputeErrorAtOptimalLocation()

◆ ComputeOptimalLocation() [1/2]

◆ ComputeOptimalLocation() [2/2]

◆ GetAMatrix()

◆ GetBVector()

◆ GetCoefficients()

◆ GetRank()

◆ operator*()

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator=()

Member Data Documentation

◆ m_A

◆ m_B

◆ m_Coefficients

◆ m_Rank

◆ m_SVDAbsoluteThreshold

◆ m_SVDRelativeThreshold

◆ NumberOfCoefficients

◆ PointDimension

template<typename TPoint>
class itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >