Class GaussNewtonMinimizer

Inheritance

System.Object

GaussNewtonMinimizer

Inherited Members

System.Object.Equals(System.Object)

System.Object.Equals(System.Object, System.Object)

System.Object.GetHashCode()

System.Object.GetType()

System.Object.MemberwiseClone()

System.Object.ReferenceEquals(System.Object, System.Object)

System.Object.ToString()

Namespace: CADability

Assembly: CADability.dll

Syntax

public class GaussNewtonMinimizer

Constructors

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GaussNewtonMinimizer(GaussNewtonMinimizer.ErrorFunction, GaussNewtonMinimizer.JacobiFunction, GaussNewtonMinimizer.CheckParameterFunction, GaussNewtonMinimizer.CurtailParameterFunction)

Declaration

public GaussNewtonMinimizer(GaussNewtonMinimizer.ErrorFunction eFunction, GaussNewtonMinimizer.JacobiFunction jFunction, GaussNewtonMinimizer.CheckParameterFunction checkParameter = null, GaussNewtonMinimizer.CurtailParameterFunction curtailParameter = null)

Parameters

Type	Name	Description
GaussNewtonMinimizer.ErrorFunction	eFunction
GaussNewtonMinimizer.JacobiFunction	jFunction
GaussNewtonMinimizer.CheckParameterFunction	checkParameter
GaussNewtonMinimizer.CurtailParameterFunction	curtailParameter

Methods

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CircleFit(IArray<GeoPoint>, GeoPoint, Double, Double, out Ellipse)

Declaration

public static double CircleFit(IArray<GeoPoint> points, GeoPoint center, double radius, double precision, out Ellipse elli)

Parameters

Type	Name	Description
IArray<GeoPoint>	points
GeoPoint	center
System.Double	radius
System.Double	precision
Ellipse	elli

Returns

Type	Description
System.Double

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ConeFit(IArray<GeoPoint>, GeoPoint, GeoVector, Double, Double, out ConicalSurface)

Declaration

public static double ConeFit(IArray<GeoPoint> points, GeoPoint apex, GeoVector axis, double theta, double precision, out ConicalSurface cs)

Parameters

Type	Name	Description
IArray<GeoPoint>	points
GeoPoint	apex
GeoVector	axis
System.Double	theta
System.Double	precision
ConicalSurface	cs

Returns

Type	Description
System.Double

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ConeFitNew(IArray<GeoPoint>, GeoPoint, GeoVector, Double, Double, out ConicalSurface)

Declaration

public static double ConeFitNew(IArray<GeoPoint> points, GeoPoint apex, GeoVector axis, double theta, double precision, out ConicalSurface cs)

Parameters

Type	Name	Description
IArray<GeoPoint>	points
GeoPoint	apex
GeoVector	axis
System.Double	theta
System.Double	precision
ConicalSurface	cs

Returns

Type	Description
System.Double

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ConeFitOld(GeoPoint[], GeoPoint, GeoVector, Double, out ConicalSurface)

Declaration

public static double ConeFitOld(GeoPoint[] points, GeoPoint apex, GeoVector axis, double theta, out ConicalSurface cs)

Parameters

Type	Name	Description
GeoPoint[]	points
GeoPoint	apex
GeoVector	axis
System.Double	theta
ConicalSurface	cs

Returns

Type	Description
System.Double

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CylinderFit(IArray<GeoPoint>, GeoPoint, GeoVector, Double, Double, out CylindricalSurface)

Declaration

public static double CylinderFit(IArray<GeoPoint> pnts, GeoPoint center, GeoVector axis, double radius, double precision, out CylindricalSurface cs)

Parameters

Type	Name	Description
IArray<GeoPoint>	pnts
GeoPoint	center
GeoVector	axis
System.Double	radius
System.Double	precision
CylindricalSurface	cs

Returns

Type	Description
System.Double

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CylinderFitOld(IArray<GeoPoint>, GeoPoint, GeoVector, Double, Double, out CylindricalSurface)

Declaration

public static double CylinderFitOld(IArray<GeoPoint> pnts, GeoPoint center, GeoVector axis, double radius, double precision, out CylindricalSurface cs)

Parameters

Type	Name	Description
IArray<GeoPoint>	pnts
GeoPoint	center
GeoVector	axis
System.Double	radius
System.Double	precision
CylindricalSurface	cs

Returns

Type	Description
System.Double

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Ellipse2DFit(IArray<GeoPoint2D>, GeoPoint2D, Double, Double, Double, Double, out Ellipse2D)

Declaration

public static double Ellipse2DFit(IArray<GeoPoint2D> points2d, GeoPoint2D center2d, double majrad, double minrad, double angle, double precision, out Ellipse2D ellipse)

Parameters

Type	Name	Description
IArray<GeoPoint2D>	points2d
GeoPoint2D	center2d
System.Double	majrad
System.Double	minrad
System.Double	angle
System.Double	precision
Ellipse2D	ellipse

Returns

Type	Description
System.Double

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LineConnection(GeoPoint, GeoVector, GeoPoint, GeoVector, Double, Double, out Double, out Double)

p1,d1 and p2,d2 define two lines. Find a point on each line (s1,s2) so that the connection of these two points has the angle a1 to the first and a2 to the second line. a1 and a2 are provided as cosinus of the angles

Declaration

public static double LineConnection(GeoPoint p1, GeoVector d1, GeoPoint p2, GeoVector d2, double a1, double a2, out double s1, out double s2)

Parameters

Type	Name	Description
GeoPoint	p1
GeoVector	d1
GeoPoint	p2
GeoVector	d2
System.Double	a1
System.Double	a2
System.Double	s1
System.Double	s2

Returns

Type	Description
System.Double

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LineFit(IArray<GeoPoint>, Double, out GeoPoint, out GeoVector)

Calculates the closest line approximating the provided points.

Declaration

public static double LineFit(IArray<GeoPoint> points, double precision, out GeoPoint location, out GeoVector direction)

Parameters

Type	Name	Description
IArray<GeoPoint>	points	Points to be approximated by the line
System.Double	precision
GeoPoint	location	Location of the line
GeoVector	direction	direction of the line

Returns

Type	Description
System.Double	maximum distance to the line

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PlaneFit(IArray<GeoPoint>, Double, out Plane)

Declaration

public static double PlaneFit(IArray<GeoPoint> points, double precision, out Plane plane)

Parameters

Type	Name	Description
IArray<GeoPoint>	points
System.Double	precision
Plane	plane

Returns

Type	Description
System.Double

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QuadricFit(IArray<GeoPoint>)

Declaration

public static double QuadricFit(IArray<GeoPoint> pnts)

Parameters

Type	Name	Description
IArray<GeoPoint>	pnts

Returns

Type	Description
System.Double

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Solve(Double[], Int32, Double, Double, out Double, out Int32, out Double[])

Solves the Gauss Newton approximation with the given startParameters and the error function and Jacobi matrix as specified in the constructor. Returns the result in parameters and returns true, if the error function of the result is less than errorTolerance. The iteration doesn't stop when errorTolerance is reached, but goes on until no more improvement of the result ocurres.

Declaration

public bool Solve(double[] startParameters, int maxIterations, double updateLengthTolerance, double errorTolerance, out double minError, out int numIterations, out double[] parameters)

Parameters

Type	Name	Description
System.Double[]	startParameters	start parameters
System.Int32	maxIterations	maximum number of iterations
System.Double	updateLengthTolerance	not used
System.Double	errorTolerance	maximum error for positiv result
System.Double	minError	effective error
System.Int32	numIterations	number of iterations used
System.Double[]	parameters	resulting parameters

Returns

Type	Description
System.Boolean

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SphereFit(IArray<GeoPoint>, GeoPoint, Double, Double, out SphericalSurface)

Declaration

public static double SphereFit(IArray<GeoPoint> pnts, GeoPoint center, double radius, double precision, out SphericalSurface ss)

Parameters

Type	Name	Description
IArray<GeoPoint>	pnts
GeoPoint	center
System.Double	radius
System.Double	precision
SphericalSurface	ss

Returns

Type	Description
System.Double

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SphereRadiusFit(IArray<GeoPoint>, GeoPoint, Double, Double, out SphericalSurface)

Declaration

public static double SphereRadiusFit(IArray<GeoPoint> pnts, GeoPoint center, double radius, double precision, out SphericalSurface ss)

Parameters

Type	Name	Description
IArray<GeoPoint>	pnts
GeoPoint	center
System.Double	radius
System.Double	precision
SphericalSurface	ss

Returns

Type	Description
System.Double

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SurfaceCurveExtrema(ISurface, BoundingRect, ICurve, Double, Double, ref GeoPoint2D, ref Double)

Declaration

public static double SurfaceCurveExtrema(ISurface surface1, BoundingRect bounds1, ICurve curve2, double curveUmin, double curveUmax, ref GeoPoint2D uv1, ref double u2)

Parameters

Type	Name	Description
ISurface	surface1
BoundingRect	bounds1
ICurve	curve2
System.Double	curveUmin
System.Double	curveUmax
GeoPoint2D	uv1
System.Double	u2

Returns

Type	Description
System.Double

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SurfaceExtrema(ISurface, BoundingRect, ISurface, BoundingRect, ref GeoPoint2D, ref GeoPoint2D)

Calculates a uv points on each provided surface, so that the connection of the two points is perpendicular to the surfaces at these points. Starts a GaussNewton approximation in the center of the provided parameter bounds

Declaration

public static double SurfaceExtrema(ISurface surface1, BoundingRect bounds1, ISurface surface2, BoundingRect bounds2, ref GeoPoint2D uv1, ref GeoPoint2D uv2)

Parameters

Type	Name	Description
ISurface	surface1
BoundingRect	bounds1
ISurface	surface2
BoundingRect	bounds2
GeoPoint2D	uv1
GeoPoint2D	uv2

Returns

Type	Description
System.Double

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ThreeCurveIntersection(ICurve, ICurve, ICurve, ref Double, ref Double, ref Double)

Declaration

public static double ThreeCurveIntersection(ICurve crv1, ICurve crv2, ICurve crv3, ref double u1, ref double u2, ref double u3)

Parameters

Type	Name	Description
ICurve	crv1
ICurve	crv2
ICurve	crv3
System.Double	u1
System.Double	u2
System.Double	u3

Returns

Type	Description
System.Double

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TorusFit(IArray<GeoPoint>, GeoPoint, GeoVector, Double, Double, out ToroidalSurface)

Declaration

public static double TorusFit(IArray<GeoPoint> points, GeoPoint center, GeoVector axis, double minrad, double precision, out ToroidalSurface ts)

Parameters

Type	Name	Description
IArray<GeoPoint>	points
GeoPoint	center
GeoVector	axis
System.Double	minrad
System.Double	precision
ToroidalSurface	ts

Returns

Type	Description
System.Double