Helper class for the quadric fit. More...

#include <Approximation.h>

Public Types
typedef double(*	Function) (double, double, double)
	WildMagic library uses function with this interface. More...

Public Member Functions
void	Assign (const double *pKoef)
	Apply quadric coefficients. More...

bool	CurvatureInfo (double x, double y, double z, double &rfCurv0, double &rfCurv1)

bool	CurvatureInfo (double x, double y, double z, double &rfCurv0, double &rfCurv1, Wm4::Vector3< double > &rkDir0, Wm4::Vector3< double > &rkDir1, double &dDistance)
	Redirector to a method of the WildMagic library. More...

double	F (double x, double y, double z)

	FunctionContainer (const double *pKoef)
	The constructor expects an array of quadric coefficients. More...

double	Fx (double x, double y, double z)

double	Fxx (double x, double y, double z)

double	Fxy (double x, double y, double z)

double	Fxz (double x, double y, double z)

double	Fy (double x, double y, double z)

double	Fyy (double x, double y, double z)

double	Fyz (double x, double y, double z)

double	Fz (double x, double y, double z)

double	Fzz (double x, double y, double z)

Base::Vector3f	GetGradient (double x, double y, double z) const

Base::Matrix4D	GetHessian (double x, double y, double z) const

double &	operator[] (int idx)
	Access to the quadric coefficients. More...

	~FunctionContainer ()
	Destructor. More...

Protected Attributes
double	dKoeff [10]
	Coefficients of quadric. More...

Wm4::ImplicitSurface< double > *	pImplSurf
	Access to the WildMagic library. More...

Detailed Description

Helper class for the quadric fit.

Includes the partial derivates of the quadric and serves for calculation of the quadric properties.

Member Typedef Documentation

◆ Function

typedef double(* MeshCore::FunctionContainer::Function) (double, double, double)

WildMagic library uses function with this interface.

Constructor & Destructor Documentation

◆ FunctionContainer()

MeshCore::FunctionContainer::FunctionContainer ( const double * pKoef )

The constructor expects an array of quadric coefficients.

Parameters

pKoef Pointer to the quadric coefficients (double [10])

References Assign(), dKoeff, and pImplSurf.

◆ ~FunctionContainer()

MeshCore::FunctionContainer::~FunctionContainer ( )

Destructor.

Deletes the ImpicitSurface instance of the WildMagic library

References pImplSurf.

Member Function Documentation

◆ Assign()

void MeshCore::FunctionContainer::Assign ( const double * pKoef )

Apply quadric coefficients.

Parameters

pKoef Pointer to the quadric coefficients (double [10])

References dKoeff.

Referenced by FunctionContainer().

◆ CurvatureInfo() [1/2]

bool MeshCore::FunctionContainer::CurvatureInfo	(	double	x,
		double	y,
		double	z,
		double &	rfCurv0,
		double &	rfCurv1
	)

References dKoeff, Fx(), Fy(), and Fz().

◆ CurvatureInfo() [2/2]

bool MeshCore::FunctionContainer::CurvatureInfo	(	double	x,
		double	y,
		double	z,
		double &	rfCurv0,
		double &	rfCurv1,
		Wm4::Vector3< double > &	rkDir0,
		Wm4::Vector3< double > &	rkDir1,
		double &	dDistance
	)

Redirector to a method of the WildMagic library.

Determines the principal curvatures and their directions at the given point.

Parameters

x	X-coordinate
y	Y-coordinate
z	Z-coordinate
rfCurv0	1. principal curvature
rfCurv1	2. principal curvature
rkDir0	direction of 1. principal curvature
rkDir1	direction of 2. principal curvature
dDistance	Gives distances from the point to the quadric.

Returns: bool Success = true, otherwise false

References pImplSurf.

Referenced by MeshCore::QuadraticFit::GetCurvatureInfo(), and MeshCore::SurfaceFit::GetCurvatureInfo().

◆ F()

double MeshCore::FunctionContainer::F	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

Referenced by Mod.PartDesign.WizardShaft.Shaft.Shaft::equilibrium(), PathMachineState.MachineState::getState(), MeshCore::SurfaceFit::PolynomFit(), Mod.PartDesign.WizardShaft.Shaft.Shaft::showDiagram(), and MeshCore::SurfaceFit::Value().

◆ Fx()

double MeshCore::FunctionContainer::Fx	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

Referenced by CurvatureInfo().

◆ Fxx()

double MeshCore::FunctionContainer::Fxx	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

◆ Fxy()

double MeshCore::FunctionContainer::Fxy	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

◆ Fxz()

double MeshCore::FunctionContainer::Fxz	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

◆ Fy()

double MeshCore::FunctionContainer::Fy	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

Referenced by CurvatureInfo().

◆ Fyy()

double MeshCore::FunctionContainer::Fyy	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

◆ Fyz()

double MeshCore::FunctionContainer::Fyz	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

◆ Fz()

double MeshCore::FunctionContainer::Fz	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

Referenced by CurvatureInfo().

◆ Fzz()

double MeshCore::FunctionContainer::Fzz	(	double	x,
		double	y,
		double	z
	)

References dKoeff.

◆ GetGradient()

Base::Vector3f MeshCore::FunctionContainer::GetGradient	(	double	x,
		double	y,
		double	z
	)		const

References pImplSurf.

Referenced by MeshCore::QuadraticFit::GetCurvatureInfo(), and MeshCore::SurfaceFit::GetCurvatureInfo().

◆ GetHessian()

Base::Matrix4D MeshCore::FunctionContainer::GetHessian	(	double	x,
		double	y,
		double	z
	)		const

References pImplSurf, and Base::Matrix4D::setToUnity().

◆ operator[]()

double & MeshCore::FunctionContainer::operator[] ( int idx )

Access to the quadric coefficients.

Parameters

idx	Index to coefficient

Returns: double& coefficient

References dKoeff.

Member Data Documentation

◆ dKoeff

double MeshCore::FunctionContainer::dKoeff[10]

protected

Coefficients of quadric.

Referenced by Assign(), CurvatureInfo(), F(), FunctionContainer(), Fx(), Fxx(), Fxy(), Fxz(), Fy(), Fyy(), Fyz(), Fz(), Fzz(), and operator[]().

◆ pImplSurf

Wm4::ImplicitSurface<double>* MeshCore::FunctionContainer::pImplSurf

protected

Access to the WildMagic library.

Referenced by CurvatureInfo(), FunctionContainer(), GetGradient(), GetHessian(), and ~FunctionContainer().

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

FreeCAD/src/Mod/Mesh/App/Core/Approximation.h

Public Types

Public Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ Function

Constructor & Destructor Documentation

◆ FunctionContainer()

◆ ~FunctionContainer()

Member Function Documentation

◆ Assign()

◆ CurvatureInfo() [1/2]

◆ CurvatureInfo() [2/2]

◆ F()

◆ Fx()

◆ Fxx()

◆ Fxy()

◆ Fxz()

◆ Fy()

◆ Fyy()

◆ Fyz()

◆ Fz()

◆ Fzz()

◆ GetGradient()

◆ GetHessian()

◆ operator[]()

Member Data Documentation

◆ dKoeff

◆ pImplSurf