Open CASCADE Technology  7.0.0

`#include <AppDef_ResConstraintOfMyGradientbisOfBSplineCompute.hxx>`

## Public Member Functions

AppDef_ResConstraintOfMyGradientbisOfBSplineCompute (const AppDef_MultiLine &SSP, AppParCurves_MultiCurve &SCurv, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > &Constraints, const math_Matrix &Bern, const math_Matrix &DerivativeBern, const Standard_Real Tolerance=1.0e-10)
Given a MultiLine SSP with constraints points, this algorithm finds the best curve solution to approximate it. The poles from SCurv issued for example from the least squares are used as a guess solution for the uzawa algorithm. The tolerance used in the Uzawa algorithms is Tolerance. A is the Bernstein matrix associated to the MultiLine and DA is the derivative bernstein matrix.(They can come from an approximation with ParLeastSquare.) The MultiCurve is modified. New MultiPoles are given. More...

Standard_Boolean IsDone () const
returns True if all has been correctly done. More...

Standard_Real Error () const
returns the maximum difference value between the curve and the given points. More...

const math_MatrixConstraintMatrix () const

const math_VectorDuale () const
returns the duale variables of the system. More...

const math_MatrixConstraintDerivative (const AppDef_MultiLine &SSP, const math_Vector &Parameters, const Standard_Integer Deg, const math_Matrix &DA)
Returns the derivative of the constraint matrix. More...

const math_MatrixInverseMatrix () const
returns the Inverse of Cont*Transposed(Cont), where Cont is the constraint matrix for the algorithm. More...

## Protected Member Functions

Standard_Integer NbConstraints (const AppDef_MultiLine &SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > &TheConstraints) const
is used internally to create the fields. More...

Standard_Integer NbColumns (const AppDef_MultiLine &SSP, const Standard_Integer Deg) const
is internally used for the fields creation. More...

## Constructor & Destructor Documentation

 AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::AppDef_ResConstraintOfMyGradientbisOfBSplineCompute ( const AppDef_MultiLine & SSP, AppParCurves_MultiCurve & SCurv, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > & Constraints, const math_Matrix & Bern, const math_Matrix & DerivativeBern, const Standard_Real Tolerance = `1.0e-10` )

Given a MultiLine SSP with constraints points, this algorithm finds the best curve solution to approximate it. The poles from SCurv issued for example from the least squares are used as a guess solution for the uzawa algorithm. The tolerance used in the Uzawa algorithms is Tolerance. A is the Bernstein matrix associated to the MultiLine and DA is the derivative bernstein matrix.(They can come from an approximation with ParLeastSquare.) The MultiCurve is modified. New MultiPoles are given.

## Member Function Documentation

 const math_Matrix& AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::ConstraintDerivative ( const AppDef_MultiLine & SSP, const math_Vector & Parameters, const Standard_Integer Deg, const math_Matrix & DA )

Returns the derivative of the constraint matrix.

 const math_Matrix& AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::ConstraintMatrix ( ) const
 const math_Vector& AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::Duale ( ) const

returns the duale variables of the system.

 Standard_Real AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::Error ( ) const

returns the maximum difference value between the curve and the given points.

 const math_Matrix& AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::InverseMatrix ( ) const

returns the Inverse of Cont*Transposed(Cont), where Cont is the constraint matrix for the algorithm.

 Standard_Boolean AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::IsDone ( ) const

returns True if all has been correctly done.

 Standard_Integer AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::NbColumns ( const AppDef_MultiLine & SSP, const Standard_Integer Deg ) const
protected

is internally used for the fields creation.

 Standard_Integer AppDef_ResConstraintOfMyGradientbisOfBSplineCompute::NbConstraints ( const AppDef_MultiLine & SSP, const Standard_Integer FirstPoint, const Standard_Integer LastPoint, const Handle< AppParCurves_HArray1OfConstraintCouple > & TheConstraints ) const
protected

is used internally to create the fields.

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