Class BSplineCurve<TPoint>

Class defining a generic B-Spline curve.

Inheritance

Object

BSplineCurve<TPoint>

BSplineCurve

NurbsCurve

Namespace: BRIDGES.Geometry.Kernel

Assembly: BRIDGES.dll

Syntax

public class BSplineCurve<TPoint> : object where TPoint : IAddable<TPoint>, IGroupAction<TPoint, double>

Type Parameters

Name	Description
TPoint	Type of point in the geometric space.

Constructors

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BSplineCurve(Int32, IEnumerable<TPoint>)

Initialises a new instance of BSplineCurve<TPoint> class.

Declaration

public BSplineCurve(int degree, IEnumerable<TPoint> controlPoints)

Parameters

Type	Name	Description
Int32	degree	Degree of the interpolating polynomials in the BSpline basis.
IEnumerable<TPoint>	controlPoints	Control points of the BSplineCurve<TPoint>.

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BSplineCurve(Int32, IEnumerable<Double>, IEnumerable<TPoint>)

Initialises a new instance of BSplineCurve<TPoint> class by defining its fields.

Declaration

public BSplineCurve(int degree, IEnumerable<double> knotVector, IEnumerable<TPoint> controlPoints)

Parameters

Type	Name	Description
Int32	degree	Degree of the interpolating polynomials in the BSpline basis.
IEnumerable<Double>	knotVector	Knot vector of the interpolating BSpline polynomial basis.
IEnumerable<TPoint>	controlPoints	Control points of the BSplineCurve<TPoint>.

Fields

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_controlPoints

Control points.

Declaration

protected List<TPoint> _controlPoints

Field Value

Type	Description
List<TPoint>

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_knotVector

Knot vector.

Declaration

protected List<double> _knotVector

Field Value

Type	Description
List<Double>

Properties

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Degree

Gets the degree of the interpolating polynomials in the BSpline basis.

Declaration

public int Degree { get; protected set; }

Property Value

Type	Description
Int32

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DomainEnd

Class defining a generic B-Spline curve.

Declaration

public double DomainEnd { get; }

Property Value

Type	Description
Double

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DomainStart

Class defining a generic B-Spline curve.

Declaration

public double DomainStart { get; }

Property Value

Type	Description
Double

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EndPoint

Class defining a generic B-Spline curve.

Declaration

public TPoint EndPoint { get; }

Property Value

Type	Description
TPoint

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IsClosed

Class defining a generic B-Spline curve.

Declaration

public bool IsClosed { get; }

Property Value

Type	Description
Boolean

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KnotCount

Number of knots of the interpolating BSpline polynomial basis.

Declaration

public int KnotCount { get; }

Property Value

Type	Description
Int32

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PointCount

Gets the number of control points of the curve.

Declaration

public int PointCount { get; }

Property Value

Type	Description
Int32

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StartPoint

Class defining a generic B-Spline curve.

Declaration

public TPoint StartPoint { get; }

Property Value

Type	Description
TPoint

Methods

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ControlPoint(Int32)

Returns the control point at the given index.

Declaration

public TPoint ControlPoint(int index)

Parameters

Type	Name	Description
Int32	index	Index of the control point to look return.

Returns

Type	Description
TPoint	The control point at the given index.

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Flip()

Class defining a generic B-Spline curve.

Declaration

public void Flip()

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Knot(Int32)

Returns the knot at the given index.

Declaration

public double Knot(int index)

Parameters

Type	Name	Description
Int32	index	Index of the knot to look for.

Returns

Type	Description
Double	The knot at the given index.

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Length()

Class defining a generic B-Spline curve.

Declaration

public double Length()

Returns

Type	Description
Double

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PointAt(Double, CurveParameterFormat)

Class defining a generic B-Spline curve.

Declaration

public TPoint PointAt(double parameter, CurveParameterFormat format)

Parameters

Type	Name	Description
Double	parameter
CurveParameterFormat	format

Returns

Type	Description
TPoint

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SetControlPoints(IEnumerable<TPoint>)

Sets the control points of the current BSplineCurve<TPoint>.

Declaration

protected void SetControlPoints(IEnumerable<TPoint> controlPoints)

Parameters

Type	Name	Description
IEnumerable<TPoint>	controlPoints	Control points of the BSplineCurve<TPoint>.

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SetKnotVector(IEnumerable<Double>)

Sets the knot vector of the current BSplineCurve<TPoint> while ensuring its validity.

Declaration

protected void SetKnotVector(IEnumerable<double> knotVector)

Parameters

Type	Name	Description
IEnumerable<Double>	knotVector	Knot vector to set.

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SetUniformKnotVector(Double, Double, Int32, Int32)

Creates and sets the knot vector for the current BSplineCurve<TPoint> with a uniform middle part.

Declaration

protected void SetUniformKnotVector(double domainStart, double domainEnd, int degree, int knotCount)

Parameters

Type	Name	Description
Double	domainStart	Start value of the curve domain.
Double	domainEnd	End value of the curve domain.
Int32	degree	Degree of the interpolating polynomials in the BSpline basis.
Int32	knotCount	Number of knots of the interpolating BSpline polynomial basis.