Class HelicalSurface

A helical surface defined by an axis, a curve and a pitch. the curve and the axis must reside in a common plane. The curve is revolved around the axis while beeing moved in direction of the axis. The distance movement in direction of the aixs is "pitch" for one full turn.

Inheritance

System.Object

ISurfaceImpl

HelicalSurface

Implements

ISurface

IOctTreeInsertable

System.Runtime.Serialization.ISerializable

Inherited Members

ISurfaceImpl.extrema

ISurfaceImpl.InvalidateSecondaryData()

ISurfaceImpl.Make3dCurve(ICurve2D)

ISurfaceImpl.PositionOf(GeoPoint)

ISurfaceImpl.DerivationAt(GeoPoint2D, GeoPoint, GeoVector, GeoVector)

ISurfaceImpl.GetPlaneIntersection(PlaneSurface, Double, Double, Double, Double, Double)

ISurfaceImpl.GetLineIntersection(GeoPoint, GeoVector)

ISurfaceImpl.GetTangentCurves(GeoVector, Double, Double, Double, Double)

ISurfaceImpl.IsVanishingProjection(Projection, Double, Double, Double, Double)

ISurfaceImpl.IsUClosed

ISurfaceImpl.IsVClosed

ISurfaceImpl.GetUSingularities()

ISurfaceImpl.GetVSingularities()

ISurfaceImpl.MakeFace(SimpleShape)

ISurfaceImpl.MakeCanonicalForm()

ISurfaceImpl.Approximate(Double, Double, Double, Double, Double)

ISurfaceImpl.GetProjectedCurve(ICurve, Double)

ISurfaceImpl.Intersect(ICurve, BoundingRect, GeoPoint[], GeoPoint2D[], Double[])

ISurfaceImpl.Intersect(BoundingRect, ISurface, BoundingRect)

ISurfaceImpl.Intersect(BoundingRect, ISurface, BoundingRect, GeoPoint)

ISurfaceImpl.GetOffsetSurface(Double, ModOp2D)

ISurfaceImpl.HitTest(BoundingCube, Double, Double, Double, Double)

ISurfaceImpl.HitTest(BoundingCube, GeoPoint2D)

ISurfaceImpl.IsRuled

ISurfaceImpl.GetSaveUSteps()

ISurfaceImpl.GetSaveVSteps()

ISurfaceImpl.GetExtrema()

ISurfaceImpl.GetPatchExtent(BoundingRect, Boolean)

ISurfaceImpl.GetPolynomialParameters()

ISurfaceImpl.GetImplicitPolynomial()

ISurfaceImpl.SetBounds(BoundingRect)

ISurfaceImpl.PerpendicularFoot(GeoPoint)

ISurfaceImpl.HasDiscontinuousDerivative(ICurve2D[])

ISurfaceImpl.GetNonPeriodicSurface(ICurve[])

ISurfaceImpl.GetPatchHull(BoundingRect, GeoPoint, GeoVector, GeoVector, GeoVector)

ISurfaceImpl.GetTouchingPoints(BoundingRect, ISurface, BoundingRect)

ISurfaceImpl.GetCanonicalForm(Double, Nullable<BoundingRect>)

ISurfaceImpl.PositionOf(GeoPoint, BoundingRect)

ISurfaceImpl.GetExtremePositions(BoundingRect, ISurface, BoundingRect, List<Tuple<Double, Double, Double, Double>>)

ISurfaceImpl.GetExtremePositions(BoundingRect, ICurve, List<Tuple<Double, Double, Double>>)

ISurfaceImpl.GetDistance(GeoPoint)

ISurfaceImpl.IsExtruded(GeoVector)

ISurfaceImpl.GetContextMenuForParametrics(IFrame, Face)

ISurfaceImpl.UvChangesWithModification

ISurfaceImpl.sqr(Double)

ISurfaceImpl.cube(Double)

ISurfaceImpl.quad(Double)

ISurfaceImpl.exp32(Double)

ISurfaceImpl.exp52(Double)

ISurfaceImpl.MaxDist(GeoPoint2D, GeoPoint2D, GeoPoint2D)

ISurfaceImpl.Refine(GeoPoint[], Int32, Boolean, PlaneSurface, Double)

ISurfaceImpl.IOctTreeInsertable.GetExtent(Double)

ISurfaceImpl.IOctTreeInsertable.HitTest(BoundingCube, Double)

ISurfaceImpl.IOctTreeInsertable.HitTest(Projection, BoundingRect, Boolean)

ISurfaceImpl.IOctTreeInsertable.HitTest(Projection.PickArea, Boolean)

ISurfaceImpl.IOctTreeInsertable.Position(GeoPoint, GeoVector, Double)

ISurfaceImpl.GetDualSurfaceCurves(BoundingRect, ISurface, BoundingRect, List<GeoPoint>, List<Tuple<Double, Double, Double, Double>>)

ISurfaceImpl.GetSelfIntersections(BoundingRect)

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.GeoObject

Assembly: CADability.dll

Syntax

[Serializable]
public class HelicalSurface : ISurfaceImpl, ISurface, IOctTreeInsertable, ISerializable

Constructors

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HelicalSurface(ICurve, GeoPoint, GeoVector, Double, Double, Double, Nullable<GeoPoint>)

Declaration

public HelicalSurface(ICurve basisCurve, GeoPoint axisLocation, GeoVector axisDirection, double pitch, double curveStartParameter, double curveEndParameter, GeoPoint? axisRefPoint = default(GeoPoint? ))

Parameters

Type	Name	Description
ICurve	basisCurve
GeoPoint	axisLocation
GeoVector	axisDirection
System.Double	pitch
System.Double	curveStartParameter
System.Double	curveEndParameter
System.Nullable<GeoPoint>	axisRefPoint

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HelicalSurface(SerializationInfo, StreamingContext)

Declaration

protected HelicalSurface(SerializationInfo info, StreamingContext context)

Parameters

Type	Name	Description
System.Runtime.Serialization.SerializationInfo	info
System.Runtime.Serialization.StreamingContext	context

Properties

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Axis

Returns the direction of the axis of revolution

Declaration

public GeoVector Axis { get; }

Property Value

Type	Description
GeoVector

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BasisCurve

Returns the curve that is rotated to form this surface

Declaration

public ICurve BasisCurve { get; }

Property Value

Type	Description
ICurve

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IsUPeriodic

Declaration

public override bool IsUPeriodic { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsUPeriodic

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IsVPeriodic

Declaration

public override bool IsVPeriodic { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.IsVPeriodic

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Location

Returns the location of the axis of revolution

Declaration

public GeoPoint Location { get; }

Property Value

Type	Description
GeoPoint

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Oriented

Declaration

public override bool Oriented { get; }

Property Value

Type	Description
System.Boolean

Overrides

ISurfaceImpl.Oriented

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Pitch

Declaration

public double Pitch { get; }

Property Value

Type	Description
System.Double

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UPeriod

Declaration

public override double UPeriod { get; }

Property Value

Type	Description
System.Double

Overrides

ISurfaceImpl.UPeriod

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VPeriod

Declaration

public override double VPeriod { get; }

Property Value

Type	Description
System.Double

Overrides

ISurfaceImpl.VPeriod

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XAxis

Returns the 0 position of the revolution

Declaration

public GeoVector XAxis { get; }

Property Value

Type	Description
GeoVector

Methods

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Clone()

Overrides Clone()

Declaration

public override ISurface Clone()

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.Clone()

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CopyData(ISurface)

Overrides CopyData(ISurface)

Declaration

public override void CopyData(ISurface CopyFrom)

Parameters

Type	Name	Description
ISurface	CopyFrom

Overrides

ISurfaceImpl.CopyData(ISurface)

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Derivation2At(GeoPoint2D, out GeoPoint, out GeoVector, out GeoVector, out GeoVector, out GeoVector, out GeoVector)

Declaration

public override void Derivation2At(GeoPoint2D uv, out GeoPoint location, out GeoVector du, out GeoVector dv, out GeoVector duu, out GeoVector dvv, out GeoVector duv)

Parameters

Type	Name	Description
GeoPoint2D	uv
GeoPoint	location
GeoVector	du
GeoVector	dv
GeoVector	duu
GeoVector	dvv
GeoVector	duv

Overrides

ISurfaceImpl.Derivation2At(GeoPoint2D, out GeoPoint, out GeoVector, out GeoVector, out GeoVector, out GeoVector, out GeoVector)

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FixedU(Double, Double, Double)

Overrides FixedU(Double, Double, Double)

Declaration

public override ICurve FixedU(double u, double vmin, double vmax)

Parameters

Type	Name	Description
System.Double	u
System.Double	vmin
System.Double	vmax

Returns

Type	Description
ICurve

Overrides

ISurfaceImpl.FixedU(Double, Double, Double)

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FixedV(Double, Double, Double)

Overrides FixedV(Double, Double, Double)

Declaration

public override ICurve FixedV(double v, double umin, double umax)

Parameters

Type	Name	Description
System.Double	v
System.Double	umin
System.Double	umax

Returns

Type	Description
ICurve

Overrides

ISurfaceImpl.FixedV(Double, Double, Double)

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GetMaximumExtent()

Declaration

public BoundingRect GetMaximumExtent()

Returns

Type	Description
BoundingRect

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GetModified(ModOp)

Overrides GetModified(ModOp)

Declaration

public override ISurface GetModified(ModOp m)

Parameters

Type	Name	Description
ModOp	m

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.GetModified(ModOp)

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GetNaturalBounds(out Double, out Double, out Double, out Double)

Declaration

public override void GetNaturalBounds(out double umin, out double umax, out double vmin, out double vmax)

Parameters

Type	Name	Description
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax

Overrides

ISurfaceImpl.GetNaturalBounds(out Double, out Double, out Double, out Double)

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GetNormal(GeoPoint2D)

Overrides GetNormal(GeoPoint2D)

Declaration

public override GeoVector GetNormal(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.GetNormal(GeoPoint2D)

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GetOffsetSurface(Double)

Declaration

public override ISurface GetOffsetSurface(double offset)

Parameters

Type	Name	Description
System.Double	offset

Returns

Type	Description
ISurface

Overrides

ISurfaceImpl.GetOffsetSurface(Double)

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GetPropertyEntry(IFrame)

Declaration

public override IPropertyEntry GetPropertyEntry(IFrame frame)

Parameters

Type	Name	Description
IFrame	frame

Returns

Type	Description
IPropertyEntry

Overrides

ISurfaceImpl.GetPropertyEntry(IFrame)

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GetSafeParameterSteps(Double, Double, Double, Double, out Double[], out Double[])

Overrides GetSafeParameterSteps(Double, Double, Double, Double, out Double[], out Double[])

Declaration

public override void GetSafeParameterSteps(double umin, double umax, double vmin, double vmax, out double[] intu, out double[] intv)

Parameters

Type	Name	Description
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax
System.Double[]	intu
System.Double[]	intv

Overrides

ISurfaceImpl.GetSafeParameterSteps(Double, Double, Double, Double, out Double[], out Double[])

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GetZMinMax(Projection, Double, Double, Double, Double, ref Double, ref Double)

Overrides GetZMinMax(Projection, Double, Double, Double, Double, ref Double, ref Double)

Declaration

public override void GetZMinMax(Projection p, double umin, double umax, double vmin, double vmax, ref double zMin, ref double zMax)

Parameters

Type	Name	Description
Projection	p
System.Double	umin
System.Double	umax
System.Double	vmin
System.Double	vmax
System.Double	zMin
System.Double	zMax

Overrides

ISurfaceImpl.GetZMinMax(Projection, Double, Double, Double, Double, ref Double, ref Double)

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Modify(ModOp)

Overrides Modify(ModOp)

Declaration

public override void Modify(ModOp m)

Parameters

Type	Name	Description
ModOp	m

Overrides

ISurfaceImpl.Modify(ModOp)

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Orientation(GeoPoint)

Overrides Orientation(GeoPoint)

Declaration

public override double Orientation(GeoPoint p)

Parameters

Type	Name	Description
GeoPoint	p

Returns

Type	Description
System.Double

Overrides

ISurfaceImpl.Orientation(GeoPoint)

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PointAt(GeoPoint2D)

Overrides PointAt(GeoPoint2D)

Declaration

public override GeoPoint PointAt(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoPoint

Overrides

ISurfaceImpl.PointAt(GeoPoint2D)

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ReverseOrientation()

Overrides ReverseOrientation()

Declaration

public override ModOp2D ReverseOrientation()

Returns

Type	Description
ModOp2D

Overrides

ISurfaceImpl.ReverseOrientation()

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SameGeometry(BoundingRect, ISurface, BoundingRect, Double, out ModOp2D)

Overrides SameGeometry(BoundingRect, ISurface, BoundingRect, Double, out ModOp2D)

Declaration

public override bool SameGeometry(BoundingRect thisBounds, ISurface other, BoundingRect otherBounds, double precision, out ModOp2D firstToSecond)

Parameters

Type	Name	Description
BoundingRect	thisBounds
ISurface	other
BoundingRect	otherBounds
System.Double	precision
ModOp2D	firstToSecond

Returns

Type	Description
System.Boolean

Overrides

ISurfaceImpl.SameGeometry(BoundingRect, ISurface, BoundingRect, Double, out ModOp2D)

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UDirection(GeoPoint2D)

Overrides UDirection(GeoPoint2D)

Declaration

public override GeoVector UDirection(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.UDirection(GeoPoint2D)

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VDirection(GeoPoint2D)

Overrides VDirection(GeoPoint2D)

Declaration

public override GeoVector VDirection(GeoPoint2D uv)

Parameters

Type	Name	Description
GeoPoint2D	uv

Returns

Type	Description
GeoVector

Overrides

ISurfaceImpl.VDirection(GeoPoint2D)

Explicit Interface Implementations

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ISerializable.GetObjectData(SerializationInfo, StreamingContext)

Declaration

void ISerializable.GetObjectData(SerializationInfo info, StreamingContext context)

Parameters

Type	Name	Description
System.Runtime.Serialization.SerializationInfo	info
System.Runtime.Serialization.StreamingContext	context

Implements

ISurface

IOctTreeInsertable

System.Runtime.Serialization.ISerializable