Class ExplicitPCurve3D

Curve defined by 3 polynomials in one veriable ("u"), or by 4 polynoms with an additional "w" component (homogenuous coordinates). the curve may be defined piecewise: the knots array defines the intervalls for the u parameter while the polynom arrays define the curves for each intervall

Inheritance

System.Object

ExplicitPCurve3D

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 ExplicitPCurve3D

Constructors

ExplicitPCurve3D(Polynom, Polynom, Polynom, Polynom)

Declaration

public ExplicitPCurve3D(Polynom px, Polynom py, Polynom pz, Polynom pw = null)

Parameters

Type	Name	Description
Polynom	px
Polynom	py
Polynom	pz
Polynom	pw

ExplicitPCurve3D(Polynom[], Polynom[], Polynom[], Polynom[], Double[])

Declaration

public ExplicitPCurve3D(Polynom[] px, Polynom[] py, Polynom[] pz, Polynom[] pw = null, double[] knots = null)

Parameters

Type	Name	Description
Polynom[]	px
Polynom[]	py
Polynom[]	pz
Polynom[]	pw
System.Double[]	knots

Fields

knots

Declaration

public double[] knots

Field Value

Type	Description
System.Double[]

pw

Declaration

public Polynom[] pw

Field Value

Type	Description
Polynom[]

pw1

Declaration

public Polynom[] pw1

Field Value

Type	Description
Polynom[]

pw2

Declaration

public Polynom[] pw2

Field Value

Type	Description
Polynom[]

pwi

Declaration

public Polynom[] pwi

Field Value

Type	Description
Polynom[]

px

Declaration

public Polynom[] px

Field Value

Type	Description
Polynom[]

px1

Declaration

public Polynom[] px1

Field Value

Type	Description
Polynom[]

px2

Declaration

public Polynom[] px2

Field Value

Type	Description
Polynom[]

pxi

Declaration

public Polynom[] pxi

Field Value

Type	Description
Polynom[]

py

Declaration

public Polynom[] py

Field Value

Type	Description
Polynom[]

py1

Declaration

public Polynom[] py1

Field Value

Type	Description
Polynom[]

py2

Declaration

public Polynom[] py2

Field Value

Type	Description
Polynom[]

pyi

Declaration

public Polynom[] pyi

Field Value

Type	Description
Polynom[]

pz

Declaration

public Polynom[] pz

Field Value

Type	Description
Polynom[]

pz1

Declaration

public Polynom[] pz1

Field Value

Type	Description
Polynom[]

pz2

Declaration

public Polynom[] pz2

Field Value

Type	Description
Polynom[]

pzi

Declaration

public Polynom[] pzi

Field Value

Type	Description
Polynom[]

Properties

UnitCircle

Declaration

public static ExplicitPCurve3D UnitCircle { get; }

Property Value

Type	Description
ExplicitPCurve3D

Methods

CalcDerivatives(Boolean, Boolean, Boolean)

Declaration

public void CalcDerivatives(bool first, bool second, bool integral)

Parameters

Type	Name	Description
System.Boolean	first
System.Boolean	second
System.Boolean	integral

Direction2At(Double)

Declaration

public GeoVector Direction2At(double u)

Parameters

Type	Name	Description
System.Double	u

Returns

Type	Description
GeoVector

DirectionAt(Double)

Declaration

public GeoVector DirectionAt(double u)

Parameters

Type	Name	Description
System.Double	u

Returns

Type	Description
GeoVector

FromCurve(ICurve, Double[], Int32, Boolean)

Declaration

public static ExplicitPCurve3D FromCurve(ICurve cv, double[] knots, int degree, bool homogenuous)

Parameters

Type	Name	Description
ICurve	cv
System.Double[]	knots
System.Int32	degree
System.Boolean	homogenuous

Returns

Type	Description
ExplicitPCurve3D

GetModified(ModOp)

Declaration

public ExplicitPCurve3D GetModified(ModOp m)

Parameters

Type	Name	Description
ModOp	m

Returns

Type	Description
ExplicitPCurve3D

Length(Double, Double)

Declaration

public double Length(double sp, double ep)

Parameters

Type	Name	Description
System.Double	sp
System.Double	ep

Returns

Type	Description
System.Double

MakeCircle(ModOp)

Declaration

public static ExplicitPCurve3D MakeCircle(ModOp toCircle)

Parameters

Type	Name	Description
ModOp	toCircle

Returns

Type	Description
ExplicitPCurve3D

MakeLine(GeoPoint, GeoVector)

Declaration

public static ExplicitPCurve3D MakeLine(GeoPoint sp, GeoVector dir)

Parameters

Type	Name	Description
GeoPoint	sp
GeoVector	dir

Returns

Type	Description
ExplicitPCurve3D

PointAt(Double)

Declaration

public GeoPoint PointAt(double u)

Parameters

Type	Name	Description
System.Double	u

Returns

Type	Description
GeoPoint

PositionOf(GeoPoint, Double, out Double)

Returns the best parameter for which the value of this curve comes closest to p. If the curve is composed of multiple segments (knots!=null) then only the segment which contains startHere is checked. If it does not contain a minimum, double.MaxValue is returned. If you want to check all segments of a segmented curve, use PositionOf(GeoPoint p, out double dist)

Declaration

public double PositionOf(GeoPoint p, double startHere, out double dist)

Parameters

Type	Name	Description
GeoPoint	p
System.Double	startHere	initial guess for the parameter
System.Double	dist

Returns

Type	Description
System.Double	the parameter for the point p or double.MaxValue, if not found

PositionOf(GeoPoint, out Double)

Declaration

public double PositionOf(GeoPoint p, out double dist)

Parameters

Type	Name	Description
GeoPoint	p
System.Double	dist

Returns

Type	Description
System.Double

RadiusAt(Double)

Declaration

public double RadiusAt(double u)

Parameters

Type	Name	Description
System.Double	u

Returns

Type	Description
System.Double

RadiusAt(Double, out Plane)

Declaration

public double RadiusAt(double u, out Plane curvaturePlane)

Parameters

Type	Name	Description
System.Double	u
Plane	curvaturePlane

Returns

Type	Description
System.Double