This class calculates a B-spline area on any point cloud (AKA scattered data). More...

#include <ApproxSurface.h>

Public Member Functions
	BSplineParameterCorrection (unsigned usUOrder=4, unsigned usVOrder=4, unsigned usUCtrlpoints=6, unsigned usVCtrlpoints=6)

virtual void	EnableSmoothing (bool bSmooth, double fSmoothInfl, double fFirst, double fSec, double fThird)
	Use smoothing-terms. More...

virtual void	EnableSmoothing (bool bSmooth=true, double fSmoothInfl=1.0f)
	Use smoothing-terms. More...

virtual const math_Matrix &	GetFirstSmoothMatrix () const
	Returns the first matrix of smoothing terms, if calculated. More...

virtual const math_Matrix &	GetSecondSmoothMatrix () const
	Returns the second matrix of smoothing terms, if calculated. More...

virtual const math_Matrix &	GetThirdSmoothMatrix () const
	Returns the third matrix of smoothing terms, if calculated. More...

virtual void	SetFirstSmoothMatrix (const math_Matrix &rclMat)
	Sets the first matrix of the smoothing terms. More...

virtual void	SetSecondSmoothMatrix (const math_Matrix &rclMat)
	Sets the second matrix of smoothing terms. More...

virtual void	SetThirdSmoothMatrix (const math_Matrix &rclMat)
	Sets the third matrix of smoothing terms. More...

void	SetUKnots (const std::vector< double > &afKnots)
	Setting the knot vector. More...

void	SetVKnots (const std::vector< double > &afKnots)
	Setting the knot vector. More...

virtual	~BSplineParameterCorrection ()

Public Member Functions inherited from Reen::ParameterCorrection
virtual void	EnableSmoothing (bool bSmooth=true, double fSmoothInfl=1.0f)
	Use smoothing-terms. More...

virtual Base::Vector3d	GetGravityPoint () const
	Get the center of gravity. More...

virtual void	GetUVW (Base::Vector3d &clU, Base::Vector3d &clV, Base::Vector3d &clW) const
	Returns the u/v/w directions. More...

virtual	Handle (Geom_BSplineSurface) CreateSurface(const TColgp_Array1OfPnt &points
	Calculates a B-spline surface from the given points. More...

	ParameterCorrection (unsigned usUOrder=4, unsigned usVOrder=4, unsigned usUCtrlpoints=6, unsigned usVCtrlpoints=6)

virtual void	SetUV (const Base::Vector3d &clU, const Base::Vector3d &clV, bool bUseDir=true)
	Setting the u/v directions The third parameter specifies whether the directions should actually be used. More...

virtual	~ParameterCorrection ()

Protected Member Functions
virtual void	CalcFirstSmoothMatrix (Base::SequencerLauncher &)
	Calculates the matrix for the first smoothing term (see U.Dietz dissertation) More...

virtual void	CalcSecondSmoothMatrix (Base::SequencerLauncher &)
	Calculates the matrix for the second smoothing term (see U.Dietz dissertation) More...

virtual void	CalcSmoothingTerms (bool bRecalc, double fFirst, double fSecond, double fThird)
	Calculates the matrix for the smoothing terms (see U.Dietz dissertation) More...

virtual void	CalcThirdSmoothMatrix (Base::SequencerLauncher &)
	Calculates the matrix for the third smoothing term. More...

virtual void	DoParameterCorrection (int iIter)
	Carries out a parameter correction. More...

virtual void	Init ()
	Initialization. More...

virtual bool	SolveWithoutSmoothing ()
	Solve an overdetermined LGS with the help of the Householder-Tansformation. More...

virtual bool	SolveWithSmoothing (double fWeight)
	Solve a regular system of equations by LU decomposition. More...

Protected Member Functions inherited from Reen::ParameterCorrection
virtual void	CalcEigenvectors ()
	Calculates the eigenvectors of the covariance matrix. More...

virtual bool	DoInitialParameterCorrection (double fSizeFactor=0.0f)
	Calculates an initial area at the beginning of the algorithm. More...

virtual void	DoParameterCorrection (int iIter)=0
	Carries out a parameter correction. More...

virtual bool	GetUVParameters (double fSizeFactor)
	Calculates the (u, v) values of the points. More...

void	ProjectControlPointsOnPlane ()
	Projects the control points onto the fit plane. More...

virtual bool	SolveWithoutSmoothing ()=0
	Solves system of equations. More...

virtual bool	SolveWithSmoothing (double fWeight)=0
	Solve a regular system of equations. More...

Additional Inherited Members
Public Attributes inherited from Reen::ParameterCorrection
virtual int bool	bParaCor

virtual int bool double	fSizeFactor =0.0f)

virtual int	iIter

Detailed Description

This class calculates a B-spline area on any point cloud (AKA scattered data).

The surface is generated iteratively with the help of a parameter correction. See Hoschek/Lasser 2nd ed. (1992). The approximation is expanded to include smoothing terms so that smooth surfaces can be generated.

Constructor & Destructor Documentation

◆ BSplineParameterCorrection()

BSplineParameterCorrection::BSplineParameterCorrection	(	unsigned	usUOrder = `4`,
		unsigned	usVOrder = `4`,
		unsigned	usUCtrlpoints = `6`,
		unsigned	usVCtrlpoints = `6`
	)

References Init().

◆ ~BSplineParameterCorrection()

virtual Reen::BSplineParameterCorrection::~BSplineParameterCorrection ( )

virtual

Member Function Documentation

◆ CalcFirstSmoothMatrix()

void BSplineParameterCorrection::CalcFirstSmoothMatrix ( Base::SequencerLauncher & seq )

protectedvirtual

Calculates the matrix for the first smoothing term (see U.Dietz dissertation)

References Base::SequencerLauncher::next().

Referenced by CalcSmoothingTerms().

◆ CalcSecondSmoothMatrix()

void BSplineParameterCorrection::CalcSecondSmoothMatrix ( Base::SequencerLauncher & seq )

protectedvirtual

Calculates the matrix for the second smoothing term (see U.Dietz dissertation)

References Base::SequencerLauncher::next().

Referenced by CalcSmoothingTerms().

◆ CalcSmoothingTerms()

void BSplineParameterCorrection::CalcSmoothingTerms	(	bool	bRecalc,
		double	fFirst,
		double	fSecond,
		double	fThird
	)

protectedvirtual

Calculates the matrix for the smoothing terms (see U.Dietz dissertation)

References CalcFirstSmoothMatrix(), CalcSecondSmoothMatrix(), and CalcThirdSmoothMatrix().

Referenced by EnableSmoothing().

◆ CalcThirdSmoothMatrix()

void BSplineParameterCorrection::CalcThirdSmoothMatrix ( Base::SequencerLauncher & seq )

protectedvirtual

Calculates the matrix for the third smoothing term.

References Base::SequencerLauncher::next().

Referenced by CalcSmoothingTerms().

◆ DoParameterCorrection()

void BSplineParameterCorrection::DoParameterCorrection ( int iIter )

protectedvirtual

Carries out a parameter correction.

Implements Reen::ParameterCorrection.

References Reen::ParameterCorrection::Handle(), Reen::ParameterCorrection::iIter, Base::SequencerLauncher::next(), SolveWithoutSmoothing(), and SolveWithSmoothing().

◆ EnableSmoothing() [1/2]

void BSplineParameterCorrection::EnableSmoothing	(	bool	bSmooth,
		double	fSmoothInfl,
		double	fFirst,
		double	fSec,
		double	fThird
	)

virtual

Use smoothing-terms.

References CalcSmoothingTerms(), and Reen::ParameterCorrection::EnableSmoothing().

◆ EnableSmoothing() [2/2]

void BSplineParameterCorrection::EnableSmoothing	(	bool	bSmooth = `true`,
		double	fSmoothInfl = `1.0f`
	)

virtual

Use smoothing-terms.

Reimplemented from Reen::ParameterCorrection.

References EnableSmoothing().

Referenced by EnableSmoothing().

◆ GetFirstSmoothMatrix()

const math_Matrix & BSplineParameterCorrection::GetFirstSmoothMatrix ( ) const

virtual

Returns the first matrix of smoothing terms, if calculated.

◆ GetSecondSmoothMatrix()

const math_Matrix & BSplineParameterCorrection::GetSecondSmoothMatrix ( ) const

virtual

Returns the second matrix of smoothing terms, if calculated.

◆ GetThirdSmoothMatrix()

const math_Matrix & BSplineParameterCorrection::GetThirdSmoothMatrix ( ) const

virtual

Returns the third matrix of smoothing terms, if calculated.

◆ Init()

void BSplineParameterCorrection::Init ( )

protectedvirtual

Initialization.

Referenced by BSplineParameterCorrection().

◆ SetFirstSmoothMatrix()

void BSplineParameterCorrection::SetFirstSmoothMatrix ( const math_Matrix & rclMat )

virtual

Sets the first matrix of the smoothing terms.

◆ SetSecondSmoothMatrix()

void BSplineParameterCorrection::SetSecondSmoothMatrix ( const math_Matrix & rclMat )

virtual

Sets the second matrix of smoothing terms.

◆ SetThirdSmoothMatrix()

void BSplineParameterCorrection::SetThirdSmoothMatrix ( const math_Matrix & rclMat )

virtual

Sets the third matrix of smoothing terms.

◆ SetUKnots()

void BSplineParameterCorrection::SetUKnots ( const std::vector< double > & afKnots )

Setting the knot vector.

◆ SetVKnots()

void BSplineParameterCorrection::SetVKnots ( const std::vector< double > & afKnots )

Setting the knot vector.

◆ SolveWithoutSmoothing()

bool BSplineParameterCorrection::SolveWithoutSmoothing ( )

protectedvirtual

Solve an overdetermined LGS with the help of the Householder-Tansformation.

Implements Reen::ParameterCorrection.

Referenced by DoParameterCorrection().

◆ SolveWithSmoothing()

bool BSplineParameterCorrection::SolveWithSmoothing ( double fWeight )

protectedvirtual

Solve a regular system of equations by LU decomposition.

Depending on the weighting, smoothing terms are included

Implements Reen::ParameterCorrection.

References draftgeoutils.faces::bind(), and Reen::ScalarProduct::multiply().

Referenced by DoParameterCorrection().

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

FreeCAD/src/Mod/ReverseEngineering/App/ApproxSurface.h
FreeCAD/src/Mod/ReverseEngineering/App/ApproxSurface.cpp

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ BSplineParameterCorrection()

◆ ~BSplineParameterCorrection()

Member Function Documentation

◆ CalcFirstSmoothMatrix()

◆ CalcSecondSmoothMatrix()

◆ CalcSmoothingTerms()

◆ CalcThirdSmoothMatrix()

◆ DoParameterCorrection()

◆ EnableSmoothing() [1/2]

◆ EnableSmoothing() [2/2]

◆ GetFirstSmoothMatrix()

◆ GetSecondSmoothMatrix()

◆ GetThirdSmoothMatrix()

◆ Init()

◆ SetFirstSmoothMatrix()

◆ SetSecondSmoothMatrix()

◆ SetThirdSmoothMatrix()

◆ SetUKnots()

◆ SetVKnots()

◆ SolveWithoutSmoothing()

◆ SolveWithSmoothing()