Ponca::NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > Class Template Reference

Extension to compute curvature values from the Weingarten map \( \frac{d N}{d \mathbf{x}} \). More...

#include <curvatureEstimation.h>

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

Collaboration diagram for Ponca::NormalDerivativesCurvatureEstimator< 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.

Public Member Functions
NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > &	normalDerivativesCurvatureEstimator ()
	Explicit conversion to NormalDerivativesCurvatureEstimator , to access methods potentially hidden by heritage.
const NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > &	normalDerivativesCurvatureEstimator () const
	Explicit conversion to NormalDerivativesCurvatureEstimator , to access methods potentially hidden by heritage.
FIT_RESULT	finalize ()
	Finalize the procedure.

Protected Types
enum	{ Check = Base::PROVIDES_NORMAL_DERIVATIVE && Base::PROVIDES_PRINCIPAL_CURVATURES }
using	Base = T
	Base class of the procedure.

Protected Member Functions
Mat32	tangentPlane (bool useNormal=false) const
	Compute a tangent plane basis.

Detailed Description

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

Extension to compute curvature values from the Weingarten map \( \frac{d N}{d \mathbf{x}} \).

This class extracts curvature information from the spatial derivatives of the normal field \( N \). It first assemble a 2x2 matrix representation of the shape operator, and then performs an eigenvalue decomposition using Eigen::SelfAdjointEigenSolver::computeDirect.

Definition at line 22 of file curvatureEstimation.h.

Member Typedef Documentation

Base

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

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

protected

Base class of the procedure.

Definition at line 24 of file curvatureEstimation.h.

MatrixType

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

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

Alias to matrix type.

Definition at line 25 of file curvatureEstimation.h.

Scalar

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

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

Alias to scalar type.

Definition at line 24 of file curvatureEstimation.h.

VectorType

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

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

Alias to vector type.

Definition at line 24 of file curvatureEstimation.h.

WFunctor

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

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

Alias to weight function.

Definition at line 24 of file curvatureEstimation.h.

Member Enumeration Documentation

anonymous enum

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

anonymous enum

protected

Definition at line 28 of file curvatureEstimation.h.

Member Function Documentation

finalize()

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

FIT_RESULT NormalDerivativesCurvatureEstimator::finalize ( )

inline

Finalize the procedure.

Returns

Fitting Status

Warning

Must be called be for any use of the fitting output

Definition at line 3 of file curvatureEstimation.hpp.

normalDerivativesCurvatureEstimator() [1/2]

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

NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > & Ponca::NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::normalDerivativesCurvatureEstimator ( )

inline

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

Definition at line 38 of file curvatureEstimation.h.

normalDerivativesCurvatureEstimator() [2/2]

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

const NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T > & Ponca::NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::normalDerivativesCurvatureEstimator ( ) const

inline

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

Definition at line 38 of file curvatureEstimation.h.

tangentPlane()

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

NormalDerivativesCurvatureEstimator< DataPoint, _WFunctor, DiffType, T >::Mat32 NormalDerivativesCurvatureEstimator::tangentPlane ( bool  useNormal = false ) const

inlineprotected

Compute a tangent plane basis.

The tangent plane can be calculated from the normal vector or from its derivatives, depending of the useNormal parameter

Definition at line 55 of file curvatureEstimation.hpp.