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-- File: AppParCurves_Projection.cdl
-- Created: Thu Jun 24 16:27:02 1993
-- Author: Modelistation
-- <model@nonox>
---Copyright: Matra Datavision 1993
generic class Projection from AppParCurves
(MultiLine as any;
ToolLine as any) -- as ToolLine(MultiLine)
---Purpose: This algorithm uses the algorithms LeastSquare,
-- ResConstraint and a Projection method to approximate a set
-- of points (AppDef_MultiLine) with a minimization of the
-- sum(square(|F(i)-Qi|)) by changing the parameter.
uses Vector from math,
MultiCurve from AppParCurves,
HArray1OfConstraintCouple from AppParCurves
raises OutOfRange from Standard,
NotDone from StdFail
private class ProLeastSquare instantiates LeastSquare from AppParCurves
(MultiLine, ToolLine);
private class ProConstraint instantiates ResolConstraint from AppParCurves
(MultiLine, ToolLine);
private class ProFunction instantiates Function from AppParCurves
(MultiLine, ToolLine, ProLeastSquare, ProConstraint);
is
Create(SSP: MultiLine; FirstPoint, LastPoint: Integer;
TheConstraints: HArray1OfConstraintCouple;
Parameters: in out Vector; Deg: Integer;
Tol3d, Tol2d: Real; NbIterations: Integer = 200)
---Purpose: Tries to minimize the sum (square(||Qui - Bi*Pi||))
-- where Pui describe the approximating Bezier curves'Poles
-- and Qi the MultiLine points with a parameter ui.
-- In this algorithm, the parameters ui are the unknowns.
-- The tolerance required on this sum is given by Tol.
-- The desired degree of the resulting curve is Deg.
-- SSP is returned with the new parameter.
returns Projection from AppParCurves;
IsDone(me)
---Purpose: returns True if all has been correctly done.
returns Boolean
is static;
Value(me)
---Purpose: returns all the Bezier curves approximating the
-- MultiLine SSP after minimization of the parameter.
returns MultiCurve from AppParCurves
raises NotDone from StdFail
is static;
Error(me; Index: Integer)
---Purpose: returns the difference between the old and the new
-- approximation.
-- An exception is raised if NotDone.
-- An exception is raised if Index<1 or Index>NbParameters.
returns Real
raises NotDone from StdFail,
OutOfRange from Standard
is static;
MaxError3d(me)
---Purpose: returns the maximum difference between the old and the
-- new approximation.
returns Real
raises NotDone from StdFail
is static;
MaxError2d(me)
---Purpose: returns the maximum difference between the old and the
-- new approximation.
returns Real
raises NotDone from StdFail
is static;
AverageError(me)
---Purpose: returns the average error between the old and the
-- new approximation.
returns Real
raises NotDone from StdFail
is static;
fields
SCU: MultiCurve from AppParCurves;
ParError: Vector from math;
AvError: Real;
MError3d: Real;
MError2d: Real;
Done: Boolean;
end Projection from AppParCurves;
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