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Public Member Functions
template<class ListType >
	quadricFitting (const point &, const vector, const ListType &)
	Construct from point, normal, and neighbouring points. More...

template<class ListType >
	quadricFitting (const point &, const ListType &)
	Construct from point and other points. More...

	~quadricFitting ()

const vector &	normal () const
	Return surface normal. More...

scalar	minCurvature () const
	Return min curvature. More...

scalar	maxCurvature () const
	Return max curvature. More...

scalar	meanCurvature () const
	Return mean curvature. More...

scalar	gaussianCurvature () const
	Return Gaussian curvature. More...

vector	minCurvatureVector () const
	Return min curvature vector. More...

vector	maxCurvatureVector () const
	Return max curvature vector. More...

Private Member Functions
void	calculateNormalVector ()
	initial estimate of the normal vector More...

void	calculateCoordinateSystem ()
	calculate transformed coordinate system More...

void	calculateQuadricCoeffs ()
	calculate coefficients of the quadric surface fit More...

void	calculateBestFit ()

Private Attributes
point	origin_
	seed point for fitting the quadric surface More...

vector	normal_
	normal vector at the origin More...

vector	vecX_
	x-coordinate vector for the transformed coordinate system More...

vector	vecY_
	y-coordinate vector for the transformed coordinate system More...

DynList< point >	otherPoints_
	other points More...

DynList< point >	transformedPoints_
	transformed coordinates of other points More...

scalarField	coefficients_
	coefficients of the quadric surface More...

Detailed Description

Definition at line 51 of file quadricFitting.H.

Constructor & Destructor Documentation

◆ quadricFitting() [1/2]

quadricFitting	(	const point &	origin,
		const vector	normal,
		const ListType &	otherPoints
	)

inline

Construct from point, normal, and neighbouring points.

Definition at line 201 of file quadricFittingI.H.

References Foam::exit(), Foam::FatalError, FatalErrorIn, forAll, Foam::mag(), Foam::magSqr(), and Vector< scalar >::zero.

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◆ quadricFitting() [2/2]

quadricFitting	(	const point &	origin,
		const ListType &	otherPoints
	)

inline

Construct from point and other points.

Definition at line 245 of file quadricFittingI.H.

References forAll.

◆ ~quadricFitting()

~quadricFitting ( )

inline

Definition at line 267 of file quadricFittingI.H.

Member Function Documentation

◆ calculateNormalVector()

void calculateNormalVector ( )

private

initial estimate of the normal vector

find the eigenvalues of the tensor

estimate the normal as the eigenvector associated to the smallest eigenvalue

Definition at line 37 of file quadricFittingI.H.

References Foam::eigenValues(), Foam::eigenVector(), forAll, quadricFitting::normal_, quadricFitting::origin_, quadricFitting::otherPoints_, Foam::symm(), and SymmTensor< scalar >::zero.

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◆ calculateCoordinateSystem()

void calculateCoordinateSystem ( )

private

calculate transformed coordinate system

transform other points to this new coordinate system

Definition at line 58 of file quadricFittingI.H.

References delta, Foam::endl(), FatalErrorIn, forAll, Foam::mag(), Foam::magSqr(), plane::nearestPoint(), quadricFitting::normal_, quadricFitting::origin_, quadricFitting::otherPoints_, p, quadricFitting::transformedPoints_, quadricFitting::vecX_, quadricFitting::vecY_, and Vector< scalar >::zero.

Referenced by quadricFitting::calculateBestFit().

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◆ calculateQuadricCoeffs()

void calculateQuadricCoeffs ( )

private

calculate coefficients of the quadric surface fit

Definition at line 114 of file quadricFittingI.H.

References quadricFitting::coefficients_, forAll, simpleMatrix::LUsolve(), Foam::mag(), quadricFitting::normal_, p, DynList< T, staticSize >::setSize(), simpleMatrix::source(), Foam::sqr(), and quadricFitting::transformedPoints_.

Referenced by quadricFitting::calculateBestFit().

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◆ calculateBestFit()

void calculateBestFit ( )

private

iterative procedure for updating normals until the best fit is achieved

correct the normal

Definition at line 158 of file quadricFittingI.H.

References quadricFitting::calculateCoordinateSystem(), quadricFitting::calculateQuadricCoeffs(), quadricFitting::coefficients_, Foam::endl(), Foam::Info, Foam::mag(), quadricFitting::normal_, quadricFitting::otherPoints_, Foam::sqr(), Foam::sqrt(), quadricFitting::transformedPoints_, quadricFitting::vecX_, and quadricFitting::vecY_.

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◆ normal()

const vector & normal ( ) const

inline

Return surface normal.

Definition at line 273 of file quadricFittingI.H.

References quadricFitting::normal_.

◆ minCurvature()

scalar minCurvature ( ) const

inline

Return min curvature.

Definition at line 279 of file quadricFittingI.H.

References quadricFitting::coefficients_, Foam::sqr(), and Foam::sqrt().

Referenced by triSurfaceCurvatureEstimator::calculateSurfaceCurvatures(), quadricFitting::gaussianCurvature(), and quadricFitting::meanCurvature().

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◆ maxCurvature()

scalar maxCurvature ( ) const

inline

Return max curvature.

Definition at line 289 of file quadricFittingI.H.

References quadricFitting::coefficients_, Foam::sqr(), and Foam::sqrt().

Referenced by triSurfaceCurvatureEstimator::calculateSurfaceCurvatures(), quadricFitting::gaussianCurvature(), and quadricFitting::meanCurvature().

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◆ meanCurvature()

scalar meanCurvature ( ) const

inline

Return mean curvature.

Definition at line 299 of file quadricFittingI.H.

References quadricFitting::maxCurvature(), and quadricFitting::minCurvature().

Referenced by triSurfaceCurvatureEstimator::calculateSurfaceCurvatures().

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◆ gaussianCurvature()

scalar gaussianCurvature ( ) const

inline

Return Gaussian curvature.

Definition at line 305 of file quadricFittingI.H.

References quadricFitting::maxCurvature(), and quadricFitting::minCurvature().

Referenced by triSurfaceCurvatureEstimator::calculateSurfaceCurvatures().

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◆ minCurvatureVector()

vector minCurvatureVector ( ) const

inline

Return min curvature vector.

Definition at line 311 of file quadricFittingI.H.

References Foam::atan(), quadricFitting::coefficients_, Foam::cos(), Foam::sin(), Foam::stabilise(), quadricFitting::vecX_, and quadricFitting::vecY_.

Referenced by triSurfaceCurvatureEstimator::calculateSurfaceCurvatures().

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◆ maxCurvatureVector()

vector maxCurvatureVector ( ) const

inline

Return max curvature vector.

Definition at line 324 of file quadricFittingI.H.

References Foam::atan(), quadricFitting::coefficients_, Foam::cos(), Foam::sin(), Foam::stabilise(), quadricFitting::vecX_, and quadricFitting::vecY_.

Referenced by triSurfaceCurvatureEstimator::calculateSurfaceCurvatures().

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Field Documentation

◆ origin_

point origin_

private

seed point for fitting the quadric surface

Definition at line 55 of file quadricFitting.H.

Referenced by quadricFitting::calculateCoordinateSystem(), and quadricFitting::calculateNormalVector().

◆ normal_

vector normal_

private

normal vector at the origin

Definition at line 58 of file quadricFitting.H.

Referenced by quadricFitting::calculateBestFit(), quadricFitting::calculateCoordinateSystem(), quadricFitting::calculateNormalVector(), quadricFitting::calculateQuadricCoeffs(), and quadricFitting::normal().

◆ vecX_

vector vecX_

private

x-coordinate vector for the transformed coordinate system

Definition at line 61 of file quadricFitting.H.

Referenced by quadricFitting::calculateBestFit(), quadricFitting::calculateCoordinateSystem(), quadricFitting::maxCurvatureVector(), and quadricFitting::minCurvatureVector().

◆ vecY_

vector vecY_

private

y-coordinate vector for the transformed coordinate system

Definition at line 64 of file quadricFitting.H.

Referenced by quadricFitting::calculateBestFit(), quadricFitting::calculateCoordinateSystem(), quadricFitting::maxCurvatureVector(), and quadricFitting::minCurvatureVector().

◆ otherPoints_

DynList<point> otherPoints_

private

other points

Definition at line 67 of file quadricFitting.H.

Referenced by quadricFitting::calculateBestFit(), quadricFitting::calculateCoordinateSystem(), and quadricFitting::calculateNormalVector().

◆ transformedPoints_

DynList<point> transformedPoints_

private

transformed coordinates of other points

Definition at line 70 of file quadricFitting.H.

Referenced by quadricFitting::calculateBestFit(), quadricFitting::calculateCoordinateSystem(), and quadricFitting::calculateQuadricCoeffs().

◆ coefficients_

scalarField coefficients_

private

coefficients of the quadric surface

Definition at line 73 of file quadricFitting.H.

Referenced by quadricFitting::calculateBestFit(), quadricFitting::calculateQuadricCoeffs(), quadricFitting::maxCurvature(), quadricFitting::maxCurvatureVector(), quadricFitting::minCurvature(), and quadricFitting::minCurvatureVector().

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

applications/extra/cfMesh-v1.1.2/meshLibrary/utilities/helperClasses/geometry/quadricFitting/quadricFitting.H
applications/extra/cfMesh-v1.1.2/meshLibrary/utilities/helperClasses/geometry/quadricFitting/quadricFittingI.H

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ quadricFitting() [1/2]

◆ quadricFitting() [2/2]

◆ ~quadricFitting()

Member Function Documentation

◆ calculateNormalVector()

◆ calculateCoordinateSystem()

◆ calculateQuadricCoeffs()

◆ calculateBestFit()

◆ normal()

◆ minCurvature()

◆ maxCurvature()

◆ meanCurvature()

◆ gaussianCurvature()

◆ minCurvatureVector()

◆ maxCurvatureVector()

Field Documentation

◆ origin_

◆ normal_

◆ vecX_

◆ vecY_

◆ otherPoints_

◆ transformedPoints_

◆ coefficients_