Extension to compute curvature values based on a covariance analysis of normal vectors of neighbors projected onto the tangent plane. More...

#include <curvatureEstimation.h>

Inheritance diagram for Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >:

Collaboration diagram for Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >:

Public Types
using	Scalar = typename DataPoint::Scalar
	Alias to scalar type.

using	VectorType = typename Base::VectorType
	Alias to vector type.

using	WFunctor = typename Base::WFunctor
	Alias to weight function.

using	MatrixType = typename DataPoint::MatrixType
	Alias to matrix type.

using	ScalarArray = typename Base::ScalarArray
	Alias to scalar derivatives array.

using	VectorArray = typename Base::VectorArray
	Alias to vector derivatives array.

typedef Eigen::Matrix< Scalar, 2, 2 >	Mat22

typedef Eigen::Matrix< Scalar, 3, 2 >	Mat32

typedef Eigen::Matrix< Scalar, 2, 1 >	Vector2

typedef VectorType::Index	Index

typedef Eigen::SelfAdjointEigenSolver< Mat22 >	Solver
	Solver used to analyse the covariance matrix.

Public Member Functions
ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > &	projectedNormalCovarianceCurvature ()
	Explicit conversion to ProjectedNormalCovarianceCurvatureEstimator , to access methods potentially hidden by heritage.

const ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > &	projectedNormalCovarianceCurvature () const
	Explicit conversion to ProjectedNormalCovarianceCurvatureEstimator , to access methods potentially hidden by heritage.

void	init (const VectorType &_evalPos)
	Set the evaluation position and reset the internal states.

bool	addLocalNeighbor (Scalar w, const VectorType &localQ, const DataPoint &attributes, ScalarArray &dw)
	Add a neighbor to perform the fit.

FIT_RESULT	finalize ()
	Finalize the procedure.

Protected Types
enum	{ Check }

enum	PASS : int { FIRST_PASS = 0 , SECOND_PASS , PASS_COUNT }

using	Base = T
	Base class of the procedure.

Protected Attributes
Vector2	m_cog
	Gravity center.

Mat22	m_cov
	Covariance matrix.

Solver	m_solver
	Solver used to analyse the covariance matrix.

PASS	m_pass
	Current pass.

Mat32	m_tframe
	Tangent frame.

Detailed Description

template<class DataPoint, class _WFunctor, int DiffType, typename T>
class Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >

Extension to compute curvature values based on a covariance analysis of normal vectors of neighbors projected onto the tangent plane.

A 2D covariance matrix is computed from the projections of normals of the neighbors and the two principal curvature values and directions are given by the eigenvalues and associated eigenvectors of the covariance matrix [3].

Note: This procedure requires two passes, the first one for plane fitting and local frame estimation, and the second one for covariance analysis.

Warning: This class is valid only in 3D.; Not it test suite, to be added !

Definition at line 122 of file curvatureEstimation.h.

Member Typedef Documentation

◆ Base

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Base = T

protected

Base class of the procedure.

Definition at line 127 of file curvatureEstimation.h.

◆ Index

template<class DataPoint , class _WFunctor , int DiffType, typename T >

typedef VectorType::Index Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Index

Definition at line 151 of file curvatureEstimation.h.

◆ Mat22

template<class DataPoint , class _WFunctor , int DiffType, typename T >

typedef Eigen::Matrix<Scalar,2,2> Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Mat22

Definition at line 148 of file curvatureEstimation.h.

◆ Mat32

template<class DataPoint , class _WFunctor , int DiffType, typename T >

typedef Eigen::Matrix<Scalar,3,2> Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Mat32

Definition at line 149 of file curvatureEstimation.h.

◆ MatrixType

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::MatrixType = typename DataPoint::MatrixType

Alias to matrix type.

Definition at line 128 of file curvatureEstimation.h.

◆ Scalar

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Scalar = typename DataPoint::Scalar

Alias to scalar type.

Definition at line 127 of file curvatureEstimation.h.

◆ ScalarArray

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::ScalarArray = typename Base::ScalarArray

Alias to scalar derivatives array.

Definition at line 129 of file curvatureEstimation.h.

◆ Solver

template<class DataPoint , class _WFunctor , int DiffType, typename T >

typedef Eigen::SelfAdjointEigenSolver<Mat22> Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Solver

Solver used to analyse the covariance matrix.

Definition at line 153 of file curvatureEstimation.h.

◆ Vector2

template<class DataPoint , class _WFunctor , int DiffType, typename T >

typedef Eigen::Matrix<Scalar,2,1> Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Vector2

Definition at line 150 of file curvatureEstimation.h.

◆ VectorArray

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::VectorArray = typename Base::VectorArray

Alias to vector derivatives array.

Definition at line 129 of file curvatureEstimation.h.

◆ VectorType

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::VectorType = typename Base::VectorType

Alias to vector type.

Definition at line 127 of file curvatureEstimation.h.

◆ WFunctor

template<class DataPoint , class _WFunctor , int DiffType, typename T >

using Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::WFunctor = typename Base::WFunctor

Alias to weight function.

Definition at line 127 of file curvatureEstimation.h.

Member Enumeration Documentation

◆ anonymous enum

template<class DataPoint , class _WFunctor , int DiffType, typename T >

anonymous enum

protected

Definition at line 132 of file curvatureEstimation.h.

◆ PASS

template<class DataPoint , class _WFunctor , int DiffType, typename T >

enum Ponca::ProjectedNormalCovarianceCurvatureEstimator::PASS : int

protected

Definition at line 139 of file curvatureEstimation.h.

Member Function Documentation

◆ addLocalNeighbor()

template<class DataPoint , class _WFunctor , int DiffType, typename T >

bool ProjectedNormalCovarianceCurvatureEstimator::addLocalNeighbor	(	Scalar	w,
		const VectorType &	localQ,
		const DataPoint &	attributes,
		ScalarArray &	dw
	)

inline

Add a neighbor to perform the fit.

Returns: false if param nei is not a valid neighbour (weight = 0)

Definition at line 198 of file curvatureEstimation.hpp.

◆ finalize()

template<class DataPoint , class _WFunctor , int DiffType, typename T >

FIT_RESULT ProjectedNormalCovarianceCurvatureEstimator::finalize ( )

inline

Finalize the procedure.

Returns: Fitting Status

Warning: Must be called be for any use of the fitting output

Definition at line 220 of file curvatureEstimation.hpp.

◆ init()

template<class DataPoint , class _WFunctor , int DiffType, typename T >

void ProjectedNormalCovarianceCurvatureEstimator::init ( const VectorType & _evalPos )

inline

Set the evaluation position and reset the internal states.

Warning: Must be called be for any computation (but after #setWeightFunc)

Definition at line 186 of file curvatureEstimation.hpp.

◆ projectedNormalCovarianceCurvature() [1/2]

template<class DataPoint , class _WFunctor , int DiffType, typename T >

ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > & Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::projectedNormalCovarianceCurvature ( )

inline

Explicit conversion to ProjectedNormalCovarianceCurvatureEstimator , to access methods potentially hidden by heritage.

Definition at line 163 of file curvatureEstimation.h.

◆ projectedNormalCovarianceCurvature() [2/2]

template<class DataPoint , class _WFunctor , int DiffType, typename T >

const ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > & Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::projectedNormalCovarianceCurvature ( ) const

inline

Explicit conversion to ProjectedNormalCovarianceCurvatureEstimator , to access methods potentially hidden by heritage.

Definition at line 163 of file curvatureEstimation.h.

Member Data Documentation

◆ m_cog

template<class DataPoint , class _WFunctor , int DiffType, typename T >

Vector2 Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::m_cog

protected

Gravity center.

Definition at line 156 of file curvatureEstimation.h.

◆ m_cov

template<class DataPoint , class _WFunctor , int DiffType, typename T >

Mat22 Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::m_cov

protected

Covariance matrix.

Definition at line 157 of file curvatureEstimation.h.

◆ m_pass

template<class DataPoint , class _WFunctor , int DiffType, typename T >

PASS Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::m_pass

protected

Current pass.

Definition at line 159 of file curvatureEstimation.h.

◆ m_solver

template<class DataPoint , class _WFunctor , int DiffType, typename T >

Solver Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::m_solver

protected

Solver used to analyse the covariance matrix.

Definition at line 158 of file curvatureEstimation.h.

◆ m_tframe

template<class DataPoint , class _WFunctor , int DiffType, typename T >

Mat32 Ponca::ProjectedNormalCovarianceCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::m_tframe

protected

Tangent frame.

Definition at line 160 of file curvatureEstimation.h.

Public Types

Public Member Functions

Protected Types

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Base

◆ Index

◆ Mat22

◆ Mat32

◆ MatrixType

◆ Scalar

◆ ScalarArray

◆ Solver

◆ Vector2

◆ VectorArray

◆ VectorType

◆ WFunctor

Member Enumeration Documentation

◆ anonymous enum

◆ PASS

Member Function Documentation

◆ addLocalNeighbor()

◆ finalize()

◆ init()

◆ projectedNormalCovarianceCurvature() [1/2]

◆ projectedNormalCovarianceCurvature() [2/2]

Member Data Documentation

◆ m_cog

◆ m_cov

◆ m_pass

◆ m_solver

◆ m_tframe