This class is used to smooth N points with constraints by minimization of quadratic criterium but also variational criterium in order to obtain " fair Curve " Computes the approximation of a Multiline by Variational optimization. More...

#include <AppDef_Variational.hxx>

Public Member Functions
	AppDef_Variational (const AppDef_MultiLine &SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints, const Standard_Integer MaxDegree=14, const Standard_Integer MaxSegment=100, const GeomAbs_Shape Continuity=GeomAbs_C2, const Standard_Boolean WithMinMax=Standard_False, const Standard_Boolean WithCutting=Standard_True, const Standard_Real Tolerance=1.0, const Standard_Integer NbIterations=2)
	Constructor. Initialization of the fields. warning : Nc0 : number of PassagePoint consraints Nc2 : number of TangencyPoint constraints Nc3 : number of CurvaturePoint constraints if ((MaxDegree-Continuity)MaxSegment -Nc0 - 2Nc1 -3*Nc2) is negative The problem is over-constrained. More...

void	Approximate ()
	Makes the approximation with the current fields. More...

Standard_Boolean	IsCreated () const
	returns True if the creation is done and correspond to the current fields. More...

Standard_Boolean	IsDone () const
	returns True if the approximation is ok and correspond to the current fields. More...

Standard_Boolean	IsOverConstrained () const
	returns True if the problem is overconstrained in this case, approximation cannot be done. More...

AppParCurves_MultiBSpCurve	Value () const
	returns all the BSpline curves approximating the MultiLine from AppDef SSP after minimization of the parameter. More...

Standard_Real	MaxError () const
	returns the maximum of the distances between the points of the multiline and the approximation curves. More...

Standard_Integer	MaxErrorIndex () const
	returns the index of the MultiPoint of ErrorMax More...

Standard_Real	QuadraticError () const
	returns the quadratic average of the distances between the points of the multiline and the approximation curves. More...

void	Distance (math_Matrix &mat)
	returns the distances between the points of the multiline and the approximation curves. More...

Standard_Real	AverageError () const
	returns the average error between the MultiLine from AppDef and the approximation. More...

const Handle< TColStd_HArray1OfReal > &	Parameters () const
	returns the parameters uses to the approximations More...

const Handle< TColStd_HArray1OfReal > &	Knots () const
	returns the knots uses to the approximations More...

void	Criterium (Standard_Real &VFirstOrder, Standard_Real &VSecondOrder, Standard_Real &VThirdOrder) const
	returns the values of the quality criterium. More...

void	CriteriumWeight (Standard_Real &Percent1, Standard_Real &Percent2, Standard_Real &Percent3) const
	returns the Weights (as percent) associed to the criterium used in the optimization. More...

Standard_Integer	MaxDegree () const
	returns the Maximum Degree used in the approximation More...

Standard_Integer	MaxSegment () const
	returns the Maximum of segment used in the approximation More...

GeomAbs_Shape	Continuity () const
	returns the Continuity used in the approximation More...

Standard_Boolean	WithMinMax () const
	returns if the approximation search to minimize the maximum Error or not. More...

Standard_Boolean	WithCutting () const
	returns if the approximation can insert new Knots or not. More...

Standard_Real	Tolerance () const
	returns the tolerance used in the approximation. More...

Standard_Integer	NbIterations () const
	returns the number of iterations used in the approximation. More...

void	Dump (Standard_OStream &o) const
	Prints on the stream o information on the current state of the object. MaxError,MaxErrorIndex,AverageError,QuadraticError,Criterium Distances,Degre,Nombre de poles, parametres, noeuds. More...

Standard_Boolean	SetConstraints (const Handle< AppParCurves_HArray1OfConstraintCouple > &aConstrainst)
	Define the constraints to approximate If this value is incompatible with the others fields this method modify nothing and returns false. More...

void	SetParameters (const Handle< TColStd_HArray1OfReal > &param)
	Defines the parameters used by the approximations. More...

Standard_Boolean	SetKnots (const Handle< TColStd_HArray1OfReal > &knots)
	Defines the knots used by the approximations If this value is incompatible with the others fields this method modify nothing and returns false. More...

Standard_Boolean	SetMaxDegree (const Standard_Integer Degree)
	Define the Maximum Degree used in the approximation If this value is incompatible with the others fields this method modify nothing and returns false. More...

Standard_Boolean	SetMaxSegment (const Standard_Integer NbSegment)
	Define the maximum number of segments used in the approximation If this value is incompatible with the others fields this method modify nothing and returns false. More...

Standard_Boolean	SetContinuity (const GeomAbs_Shape C)
	Define the Continuity used in the approximation If this value is incompatible with the others fields this method modify nothing and returns false. More...

void	SetWithMinMax (const Standard_Boolean MinMax)
	Define if the approximation search to minimize the maximum Error or not. More...

Standard_Boolean	SetWithCutting (const Standard_Boolean Cutting)
	Define if the approximation can insert new Knots or not. If this value is incompatible with the others fields this method modify nothing and returns false. More...

void	SetCriteriumWeight (const Standard_Real Percent1, const Standard_Real Percent2, const Standard_Real Percent3)
	define the Weights (as percent) associed to the criterium used in the optimization. More...

void	SetCriteriumWeight (const Standard_Integer Order, const Standard_Real Percent)
	define the Weight (as percent) associed to the criterium Order used in the optimization : Others weights are updated. if Percent < 0 if Order < 1 or Order > 3 More...

void	SetTolerance (const Standard_Real Tol)
	define the tolerance used in the approximation. More...

void	SetNbIterations (const Standard_Integer Iter)
	define the number of iterations used in the approximation. if Iter < 1 More...

Detailed Description

This class is used to smooth N points with constraints by minimization of quadratic criterium but also variational criterium in order to obtain " fair Curve " Computes the approximation of a Multiline by Variational optimization.

Constructor & Destructor Documentation

◆ AppDef_Variational()

AppDef_Variational::AppDef_Variational	(	const AppDef_MultiLine &	SSP,
		const Standard_Integer	FirstPoint,
		const Standard_Integer	LastPoint,
		const Handle< AppParCurves_HArray1OfConstraintCouple > &	TheConstraints,
		const Standard_Integer	MaxDegree = `14`,
		const Standard_Integer	MaxSegment = `100`,
		const GeomAbs_Shape	Continuity = `GeomAbs_C2`,
		const Standard_Boolean	WithMinMax = `Standard_False`,
		const Standard_Boolean	WithCutting = `Standard_True`,
		const Standard_Real	Tolerance = `1.0`,
		const Standard_Integer	NbIterations = `2`
	)

Constructor. Initialization of the fields. warning : Nc0 : number of PassagePoint consraints Nc2 : number of TangencyPoint constraints Nc3 : number of CurvaturePoint constraints if ((MaxDegree-Continuity)*MaxSegment -Nc0 - 2*Nc1 -3*Nc2) is negative The problem is over-constrained.

Limitation : The MultiLine from AppDef has to be composed by only one Line ( Dimension 2 or 3).

Member Function Documentation

◆ Approximate()

void AppDef_Variational::Approximate ( )

Makes the approximation with the current fields.

◆ AverageError()

Standard_Real AppDef_Variational::AverageError ( ) const

returns the average error between the MultiLine from AppDef and the approximation.

◆ Continuity()

GeomAbs_Shape AppDef_Variational::Continuity ( ) const

returns the Continuity used in the approximation

◆ Criterium()

void AppDef_Variational::Criterium	(	Standard_Real &	VFirstOrder,
		Standard_Real &	VSecondOrder,
		Standard_Real &	VThirdOrder
	)		const

returns the values of the quality criterium.

◆ CriteriumWeight()

void AppDef_Variational::CriteriumWeight	(	Standard_Real &	Percent1,
		Standard_Real &	Percent2,
		Standard_Real &	Percent3
	)		const

returns the Weights (as percent) associed to the criterium used in the optimization.

◆ Distance()

void AppDef_Variational::Distance ( math_Matrix & mat )

returns the distances between the points of the multiline and the approximation curves.

◆ Dump()

void AppDef_Variational::Dump ( Standard_OStream & o ) const

Prints on the stream o information on the current state of the object. MaxError,MaxErrorIndex,AverageError,QuadraticError,Criterium Distances,Degre,Nombre de poles, parametres, noeuds.

◆ IsCreated()

Standard_Boolean AppDef_Variational::IsCreated ( ) const

returns True if the creation is done and correspond to the current fields.

◆ IsDone()

Standard_Boolean AppDef_Variational::IsDone ( ) const

returns True if the approximation is ok and correspond to the current fields.

◆ IsOverConstrained()

Standard_Boolean AppDef_Variational::IsOverConstrained ( ) const

returns True if the problem is overconstrained in this case, approximation cannot be done.

◆ Knots()

const Handle< TColStd_HArray1OfReal >& AppDef_Variational::Knots ( ) const

returns the knots uses to the approximations

◆ MaxDegree()

Standard_Integer AppDef_Variational::MaxDegree ( ) const

returns the Maximum Degree used in the approximation

◆ MaxError()

Standard_Real AppDef_Variational::MaxError ( ) const

returns the maximum of the distances between the points of the multiline and the approximation curves.

◆ MaxErrorIndex()

Standard_Integer AppDef_Variational::MaxErrorIndex ( ) const

returns the index of the MultiPoint of ErrorMax

◆ MaxSegment()

Standard_Integer AppDef_Variational::MaxSegment ( ) const

returns the Maximum of segment used in the approximation

◆ NbIterations()

Standard_Integer AppDef_Variational::NbIterations ( ) const

returns the number of iterations used in the approximation.

◆ Parameters()

const Handle< TColStd_HArray1OfReal >& AppDef_Variational::Parameters ( ) const

returns the parameters uses to the approximations

◆ QuadraticError()

Standard_Real AppDef_Variational::QuadraticError ( ) const

returns the quadratic average of the distances between the points of the multiline and the approximation curves.

◆ SetConstraints()

Standard_Boolean AppDef_Variational::SetConstraints ( const Handle< AppParCurves_HArray1OfConstraintCouple > & aConstrainst )

Define the constraints to approximate If this value is incompatible with the others fields this method modify nothing and returns false.

◆ SetContinuity()

Standard_Boolean AppDef_Variational::SetContinuity ( const GeomAbs_Shape C )

Define the Continuity used in the approximation If this value is incompatible with the others fields this method modify nothing and returns false.

◆ SetCriteriumWeight() [1/2]

void AppDef_Variational::SetCriteriumWeight	(	const Standard_Integer	Order,
		const Standard_Real	Percent
	)

define the Weight (as percent) associed to the criterium Order used in the optimization : Others weights are updated. if Percent < 0 if Order < 1 or Order > 3

◆ SetCriteriumWeight() [2/2]

void AppDef_Variational::SetCriteriumWeight	(	const Standard_Real	Percent1,
		const Standard_Real	Percent2,
		const Standard_Real	Percent3
	)

define the Weights (as percent) associed to the criterium used in the optimization.

if Percent <= 0

◆ SetKnots()

Standard_Boolean AppDef_Variational::SetKnots ( const Handle< TColStd_HArray1OfReal > & knots )

Defines the knots used by the approximations If this value is incompatible with the others fields this method modify nothing and returns false.

◆ SetMaxDegree()

Standard_Boolean AppDef_Variational::SetMaxDegree ( const Standard_Integer Degree )

Define the Maximum Degree used in the approximation If this value is incompatible with the others fields this method modify nothing and returns false.

◆ SetMaxSegment()

Standard_Boolean AppDef_Variational::SetMaxSegment ( const Standard_Integer NbSegment )

Define the maximum number of segments used in the approximation If this value is incompatible with the others fields this method modify nothing and returns false.

◆ SetNbIterations()

void AppDef_Variational::SetNbIterations ( const Standard_Integer Iter )

define the number of iterations used in the approximation. if Iter < 1

◆ SetParameters()

void AppDef_Variational::SetParameters ( const Handle< TColStd_HArray1OfReal > & param )

Defines the parameters used by the approximations.

◆ SetTolerance()

void AppDef_Variational::SetTolerance ( const Standard_Real Tol )

define the tolerance used in the approximation.

◆ SetWithCutting()

Standard_Boolean AppDef_Variational::SetWithCutting ( const Standard_Boolean Cutting )

Define if the approximation can insert new Knots or not. If this value is incompatible with the others fields this method modify nothing and returns false.

◆ SetWithMinMax()

void AppDef_Variational::SetWithMinMax ( const Standard_Boolean MinMax )

Define if the approximation search to minimize the maximum Error or not.

◆ Tolerance()

Standard_Real AppDef_Variational::Tolerance ( ) const

returns the tolerance used in the approximation.

◆ Value()

AppParCurves_MultiBSpCurve AppDef_Variational::Value ( ) const

returns all the BSpline curves approximating the MultiLine from AppDef SSP after minimization of the parameter.

◆ WithCutting()

Standard_Boolean AppDef_Variational::WithCutting ( ) const

returns if the approximation can insert new Knots or not.

◆ WithMinMax()

Standard_Boolean AppDef_Variational::WithMinMax ( ) const

returns if the approximation search to minimize the maximum Error or not.

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

AppDef_Variational.hxx

AppDef_Variational Class Reference

Public Member Functions