Class BSpline2D

Inheritance
System.Object
GeneralCurve2D
BSpline2D
Implements
System.Runtime.Serialization.ISerializable
System.Runtime.Serialization.IDeserializationCallback
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)
Namespace: CADability.Curve2D
Assembly: CADability.dll
Syntax
[Serializable]
public class BSpline2D : GeneralCurve2D, ICurve2D, IQuadTreeInsertable, I2DIntersectable, ISerializable, IDeserializationCallback, IDebuggerVisualizer, IExplicitPCurve2D

Constructors

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BSpline2D(GeoPoint2D[], GeoVector2D[], Int32, Boolean)

Declaration
public BSpline2D(GeoPoint2D[] throughpoints, GeoVector2D[] throughdirections, int degree, bool periodic)
Parameters
Type Name Description
GeoPoint2D[] throughpoints
GeoVector2D[] throughdirections
System.Int32 degree
System.Boolean periodic
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BSpline2D(GeoPoint2D[], Double[], Double[], Int32[], Int32, Boolean, Double, Double)

Constructs a BSpline2D (NURBS) from its main data

Declaration
public BSpline2D(GeoPoint2D[] poles, double[] weights, double[] knots, int[] multiplicities, int degree, bool periodic, double startParam, double endParam)
Parameters
Type Name Description
GeoPoint2D[] poles

the poles
System.Double[] weights

the weigts or null if not rational
System.Double[] knots

the knot vector
System.Int32[] multiplicities

the multiplicities vector for the knot vector (same size)
System.Int32 degree

the degree
System.Boolean periodic

true for periodic (closed) false otherwise
System.Double startParam

startparameter
System.Double endParam

endparameter
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BSpline2D(GeoPoint2D[], Int32, Boolean)

Constructs a BSpline2D (NURBS) by a set of points, that will be interpolated.

Declaration
public BSpline2D(GeoPoint2D[] throughpoints, int degree, bool periodic)
Parameters
Type Name Description
GeoPoint2D[] throughpoints

the points to be interpolated
System.Int32 degree

the degree of the BSpline2D
System.Boolean periodic

true for periodic (closed) false otherwise
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BSpline2D(SerializationInfo, StreamingContext)

Constructor required by deserialization

Declaration
protected BSpline2D(SerializationInfo info, StreamingContext context)
Parameters
Type Name Description
System.Runtime.Serialization.SerializationInfo info

SerializationInfo
System.Runtime.Serialization.StreamingContext context

StreamingContext

Properties

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Degree

Gets the degree of the BSpline (NURBS)

Declaration
public int Degree { get; }
Property Value
Type Description
System.Int32
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EndDirection

Declaration
public override GeoVector2D EndDirection { get; }
Property Value
Type Description
GeoVector2D
Overrides
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EndParam

Declaration
public double EndParam { get; }
Property Value
Type Description
System.Double
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EndPoint

Declaration
public override GeoPoint2D EndPoint { get; set; }
Property Value
Type Description
GeoPoint2D
Overrides
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Knots

Gets a copy of the knots defining the BSpline (NURBS)

Declaration
public double[] Knots { get; }
Property Value
Type Description
System.Double[]
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Length

Declaration
public override double Length { get; }
Property Value
Type Description
System.Double
Overrides
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MiddleDirection

Declaration
public override GeoVector2D MiddleDirection { get; }
Property Value
Type Description
GeoVector2D
Overrides
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Multiplicities

Gets a copy of the multiplicities defining the BSpline (NURBS)

Declaration
public int[] Multiplicities { get; }
Property Value
Type Description
System.Int32[]
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Poles

Gets a copy of the poles defining the BSpline (NURBS)

Declaration
public GeoPoint2D[] Poles { get; }
Property Value
Type Description
GeoPoint2D[]
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StartDirection

Declaration
public override GeoVector2D StartDirection { get; }
Property Value
Type Description
GeoVector2D
Overrides
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StartParam

Declaration
public double StartParam { get; }
Property Value
Type Description
System.Double
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StartPoint

Declaration
public override GeoPoint2D StartPoint { get; set; }
Property Value
Type Description
GeoPoint2D
Overrides
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Sweep

Declaration
public override double Sweep { get; }
Property Value
Type Description
System.Double
Overrides
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Weights

Gets a copy of the weights defining the BSpline (NURBS)

Declaration
public double[] Weights { get; }
Property Value
Type Description
System.Double[]

Methods

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AddToGraphicsPath(GraphicsPath, Boolean)

Overrides AddToGraphicsPath(GraphicsPath, Boolean)

Declaration
public override void AddToGraphicsPath(GraphicsPath path, bool forward)
Parameters
Type Name Description
System.Drawing.Drawing2D.GraphicsPath path
System.Boolean forward
Overrides
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AdjustPeriodic(GeoPoint2D[], Double, Double)

Declaration
public static void AdjustPeriodic(GeoPoint2D[] points, double xPeriod, double yPeriod)
Parameters
Type Name Description
GeoPoint2D[] points
System.Double xPeriod
System.Double yPeriod
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ApproximateWithArcs(Double)

Declaration
public Path2D ApproximateWithArcs(double maxError)
Parameters
Type Name Description
System.Double maxError
Returns
Type Description
Path2D
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Clone()

Overrides Clone()

Declaration
public override ICurve2D Clone()
Returns
Type Description
ICurve2D
Overrides
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CloneReverse(Boolean)

Overrides CloneReverse(Boolean)

Declaration
public override ICurve2D CloneReverse(bool reverse)
Parameters
Type Name Description
System.Boolean reverse
Returns
Type Description
ICurve2D
Overrides
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Copy(ICurve2D)

Overrides Copy(ICurve2D)

Declaration
public override void Copy(ICurve2D toCopyFrom)
Parameters
Type Name Description
ICurve2D toCopyFrom
Overrides
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DirectionAt(Double)

Overrides DirectionAt(Double)

Declaration
public override GeoVector2D DirectionAt(double Position)
Parameters
Type Name Description
System.Double Position
Returns
Type Description
GeoVector2D
Overrides
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GetArea()

Declaration
public override double GetArea()
Returns
Type Description
System.Double
Overrides
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GetExtent()

Overrides GetExtent()

Declaration
public override BoundingRect GetExtent()
Returns
Type Description
BoundingRect
Overrides
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GetFused(ICurve2D, Double)

Overrides GetFused(ICurve2D, Double)

Declaration
public override ICurve2D GetFused(ICurve2D toFuseWith, double precision)
Parameters
Type Name Description
ICurve2D toFuseWith
System.Double precision
Returns
Type Description
ICurve2D
Overrides
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GetModified(ModOp2D)

Overrides GetModified(ModOp2D)

Declaration
public override ICurve2D GetModified(ModOp2D m)
Parameters
Type Name Description
ModOp2D m
Returns
Type Description
ICurve2D
Overrides
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GetObjectData(SerializationInfo, StreamingContext)

Implements System.Runtime.Serialization.ISerializable.GetObjectData(System.Runtime.Serialization.SerializationInfo, System.Runtime.Serialization.StreamingContext)

Declaration
public void GetObjectData(SerializationInfo info, StreamingContext context)
Parameters
Type Name Description
System.Runtime.Serialization.SerializationInfo info

The System.Runtime.Serialization.SerializationInfo to populate with data.
System.Runtime.Serialization.StreamingContext context

The destination (System.Runtime.Serialization.StreamingContext) for this serialization.
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GetSelfIntersections()

Overrides GetSelfIntersections()

Declaration
public override double[] GetSelfIntersections()
Returns
Type Description
System.Double[]
Overrides
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GetSimpleCurve(Double, out ICurve2D)

Declaration
public bool GetSimpleCurve(double precison, out ICurve2D simpleCurve)
Parameters
Type Name Description
System.Double precison
ICurve2D simpleCurve
Returns
Type Description
System.Boolean
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HitTest(ref BoundingRect, Boolean)

Overrides HitTest(ref BoundingRect, Boolean)

Declaration
public override bool HitTest(ref BoundingRect Rect, bool IncludeControlPoints)
Parameters
Type Name Description
BoundingRect Rect
System.Boolean IncludeControlPoints
Returns
Type Description
System.Boolean
Overrides
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Intersect(ICurve2D)

Overrides Intersect(ICurve2D)

Declaration
public override GeoPoint2DWithParameter[] Intersect(ICurve2D IntersectWith)
Parameters
Type Name Description
ICurve2D IntersectWith
Returns
Type Description
GeoPoint2DWithParameter[]
Overrides
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Intersect(GeoPoint2D, GeoPoint2D)

Overrides Intersect(GeoPoint2D, GeoPoint2D)

Declaration
public override GeoPoint2DWithParameter[] Intersect(GeoPoint2D StartPoint, GeoPoint2D EndPoint)
Parameters
Type Name Description
GeoPoint2D StartPoint
GeoPoint2D EndPoint
Returns
Type Description
GeoPoint2DWithParameter[]
Overrides
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IsPartOf(Double, ICurve2D)

Declaration
public ICurve2D IsPartOf(double precision, ICurve2D simpleCurve)
Parameters
Type Name Description
System.Double precision
ICurve2D simpleCurve
Returns
Type Description
ICurve2D
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IsValidParameter(Double)

Overrides IsValidParameter(Double)

Declaration
public override bool IsValidParameter(double par)
Parameters
Type Name Description
System.Double par
Returns
Type Description
System.Boolean
Overrides
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MakeCircle(GeoPoint2D, Double)

Declaration
public static BSpline2D MakeCircle(GeoPoint2D center, double radius)
Parameters
Type Name Description
GeoPoint2D center
System.Double radius
Returns
Type Description
BSpline2D
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MakeGeoObject(Plane)

Overrides MakeGeoObject(Plane)

Declaration
public override IGeoObject MakeGeoObject(Plane p)
Parameters
Type Name Description
Plane p
Returns
Type Description
IGeoObject
Overrides
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MakeHyperbola(GeoPoint2D, GeoPoint2D, GeoPoint2D, GeoPoint2D)

Creates a (segment of a) hyperbola defined by its endpoints (startPoint, endPoint), the intersectionpoint of the tangents at the endpoints and a point located on the hyperbola where the hyperbola intersects with the line [midpoint(startPoint, endPoint), tangentIntersectionPoint]

Declaration
public static BSpline2D MakeHyperbola(GeoPoint2D startPoint, GeoPoint2D endPoint, GeoPoint2D midPoint, GeoPoint2D tangentIntersectionPoint)
Parameters
Type Name Description
GeoPoint2D startPoint
GeoPoint2D endPoint
GeoPoint2D midPoint
GeoPoint2D tangentIntersectionPoint
Returns
Type Description
BSpline2D
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MakeSpiral(GeoPoint2D, Double, Int32)

Declaration
public static BSpline2D MakeSpiral(GeoPoint2D center, double offset, int turns)
Parameters
Type Name Description
GeoPoint2D center
System.Double offset
System.Int32 turns
Returns
Type Description
BSpline2D
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Move(Double, Double)

Overrides Move(Double, Double)

Declaration
public override void Move(double dx, double dy)
Parameters
Type Name Description
System.Double dx
System.Double dy
Overrides
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Parallel(Double, Boolean, Double, Double)

Overrides Parallel(Double, Boolean, Double, Double)

Declaration
public override ICurve2D Parallel(double Dist, bool approxSpline, double precision, double roundAngle)
Parameters
Type Name Description
System.Double Dist
System.Boolean approxSpline
System.Double precision
System.Double roundAngle
Returns
Type Description
ICurve2D
Overrides
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PerpendicularFoot(GeoPoint2D)

Overrides PerpendicularFoot(GeoPoint2D)

Declaration
public override GeoPoint2D[] PerpendicularFoot(GeoPoint2D FromHere)
Parameters
Type Name Description
GeoPoint2D FromHere
Returns
Type Description
GeoPoint2D[]
Overrides
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PointAt(Double)

Overrides PointAt(Double)

Declaration
public override GeoPoint2D PointAt(double Position)
Parameters
Type Name Description
System.Double Position
Returns
Type Description
GeoPoint2D
Overrides
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PositionOf(GeoPoint2D)

Overrides PositionOf(GeoPoint2D)

Declaration
public override double PositionOf(GeoPoint2D p)
Parameters
Type Name Description
GeoPoint2D p
Returns
Type Description
System.Double
Overrides
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Project(Plane, Plane)

Overrides Project(Plane, Plane)

Declaration
public override ICurve2D Project(Plane fromPlane, Plane toPlane)
Parameters
Type Name Description
Plane fromPlane
Plane toPlane
Returns
Type Description
ICurve2D
Overrides
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Reverse()

Overrides Reverse()

Declaration
public override void Reverse()
Overrides
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Split(Double)

Overrides Split(Double)

Declaration
public override ICurve2D[] Split(double Position)
Parameters
Type Name Description
System.Double Position
Returns
Type Description
ICurve2D[]
Overrides
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TangentPoints(GeoPoint2D, GeoPoint2D)

Overrides TangentPoints(GeoPoint2D, GeoPoint2D)

Declaration
public override GeoPoint2D[] TangentPoints(GeoPoint2D FromHere, GeoPoint2D CloseTo)
Parameters
Type Name Description
GeoPoint2D FromHere
GeoPoint2D CloseTo
Returns
Type Description
GeoPoint2D[]
Overrides
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TangentPointsToAngle(Angle, GeoPoint2D)

Overrides TangentPointsToAngle(Angle, GeoPoint2D)

Declaration
public override GeoPoint2D[] TangentPointsToAngle(Angle ang, GeoPoint2D CloseTo)
Parameters
Type Name Description
Angle ang
GeoPoint2D CloseTo
Returns
Type Description
GeoPoint2D[]
Overrides
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TangentPointsToAngle(GeoVector2D)

Overrides TangentPointsToAngle(GeoVector2D)

Declaration
public override double[] TangentPointsToAngle(GeoVector2D direction)
Parameters
Type Name Description
GeoVector2D direction
Returns
Type Description
System.Double[]
Overrides
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ToString()

Declaration
public override string ToString()
Returns
Type Description
System.String
Overrides
System.Object.ToString()
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Trim(Double, Double)

Overrides Trim(Double, Double)

Declaration
public override ICurve2D Trim(double StartPos, double EndPos)
Parameters
Type Name Description
System.Double StartPos
System.Double EndPos
Returns
Type Description
ICurve2D
Overrides
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TrimParam(Double, Double)

Declaration
public bool TrimParam(double startPar, double endPar)
Parameters
Type Name Description
System.Double startPar
System.Double endPar
Returns
Type Description
System.Boolean
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TryPointDeriv2At(Double, out GeoPoint2D, out GeoVector2D, out GeoVector2D)

Overrides TryPointDeriv2At(Double, out GeoPoint2D, out GeoVector2D, out GeoVector2D)

Declaration
public override bool TryPointDeriv2At(double position, out GeoPoint2D point, out GeoVector2D deriv1, out GeoVector2D deriv2)
Parameters
Type Name Description
System.Double position
GeoPoint2D point
GeoVector2D deriv1
GeoVector2D deriv2
Returns
Type Description
System.Boolean
Overrides

Explicit Interface Implementations

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IExplicitPCurve2D.GetExplicitPCurve2D()

Declaration
ExplicitPCurve2D IExplicitPCurve2D.GetExplicitPCurve2D()
Returns
Type Description
ExplicitPCurve2D
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IDeserializationCallback.OnDeserialization(Object)

Declaration
void IDeserializationCallback.OnDeserialization(object sender)
Parameters
Type Name Description
System.Object sender

Implements

System.Runtime.Serialization.ISerializable
System.Runtime.Serialization.IDeserializationCallback