GeomConvert_FuncSphereLSDist Class Reference

Function for search of sphere canonic parameters: coordinates of center and radius from set of moints by least square method. //! The class inherits math_MultipleVarFunctionWithGradient and thus is intended for use in math_BFGS algorithm. More...

#include <GeomConvert_FuncSphereLSDist.hxx>

Inheritance diagram for GeomConvert_FuncSphereLSDist:

Public Member Functions
	GeomConvert_FuncSphereLSDist ()
	Constructor.
	GeomConvert_FuncSphereLSDist (const Handle< TColgp_HArray1OfXYZ > &thePoints)
void	SetPoints (const Handle< TColgp_HArray1OfXYZ > &thePoints)
Standard_Integer	NbVariables () const override
	Number of variables.
Standard_Boolean	Value (const math_Vector &X, Standard_Real &F) override
	Value.
Standard_Boolean	Gradient (const math_Vector &X, math_Vector &G) override
	Gradient.
Standard_Boolean	Values (const math_Vector &X, Standard_Real &F, math_Vector &G) override
	Value and gradient.
Public Member Functions inherited from math_MultipleVarFunction
virtual Standard_Integer	GetStateNumber ()
	return the state of the function corresponding to the latestt call of any methods associated to the function. This function is called by each of the algorithms described later which define the function Integer Algorithm::StateNumber(). The algorithm has the responsibility to call this function when it has found a solution (i.e. a root or a minimum) and has to maintain the association between the solution found and this StateNumber. Byu default, this method returns 0 (which means for the algorithm: no state has been saved). It is the responsibility of the programmer to decide if he needs to save the current state of the function and to return an Integer that allows retrieval of the state.
virtual	~math_MultipleVarFunction ()

Detailed Description

Function for search of sphere canonic parameters: coordinates of center and radius from set of moints by least square method. //! The class inherits math_MultipleVarFunctionWithGradient and thus is intended for use in math_BFGS algorithm.

The criteria is: F(x0, y0, z0, R) = Sum[(x(i) - x0)^2 + (y(i) - y0)^2 + (z(i) - z0)^2 - R^2]^2 => min, x(i), y(i), z(i) - coordinates of sample points, x0, y0, z0, R - coordinates of center and radius of sphere, which must be defined

The first derivative are: dF/dx0 : G1(x0, y0, z0, R) = -4*Sum{[...]*(x(i) - x0)} dF/dy0 : G2(x0, y0, z0, R) = -4*Sum{[...]*(y(i) - y0)} dF/dz0 : G3(x0, y0, z0, R) = -4*Sum{[...]*(z(i) - z0)} dF/dR : G4(x0, y0, z0, R) = -4*R*Sum[...] [...] = [(x(i) - x0)^2 + (y(i) - y0)^2 + (z(i) - z0)^2 - R^2]

Constructor & Destructor Documentation

GeomConvert_FuncSphereLSDist() [1/2]

GeomConvert_FuncSphereLSDist::GeomConvert_FuncSphereLSDist ( )

inline

Constructor.

GeomConvert_FuncSphereLSDist() [2/2]

GeomConvert_FuncSphereLSDist::GeomConvert_FuncSphereLSDist

(

const Handle< TColgp_HArray1OfXYZ > &

thePoints

)

Member Function Documentation

Gradient()

Standard_Boolean GeomConvert_FuncSphereLSDist::Gradient ( const math_Vector &  X, math_Vector &  G  )

overridevirtual

Gradient.

Implements math_MultipleVarFunctionWithGradient.

NbVariables()

Standard_Integer GeomConvert_FuncSphereLSDist::NbVariables ( ) const

overridevirtual

Number of variables.

Implements math_MultipleVarFunctionWithGradient.

SetPoints()

void GeomConvert_FuncSphereLSDist::SetPoints ( const Handle< TColgp_HArray1OfXYZ > &  thePoints )

inline

Value()

Standard_Boolean GeomConvert_FuncSphereLSDist::Value ( const math_Vector &  X, Standard_Real &  F  )

overridevirtual

Value.

Implements math_MultipleVarFunctionWithGradient.

Values()

Standard_Boolean GeomConvert_FuncSphereLSDist::Values ( const math_Vector &  X, Standard_Real &  F, math_Vector &  G  )

overridevirtual

Value and gradient.

Implements math_MultipleVarFunctionWithGradient.

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

• GeomConvert_FuncSphereLSDist.hxx