Class NurbsCurve

Class defining a NURBS curve in three-dimensional euclidean space.

Inheritance
Object
BSplineCurve<Point>
NurbsCurve
Inherited Members
Namespace: BRIDGES.Geometry.Euclidean3D
Assembly: BRIDGES.dll
Syntax
public class NurbsCurve : BSplineCurve<Point>

Constructors

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NurbsCurve(Int32, IEnumerable<Point>)

Initialises a new instance of NurbsCurve class.

Declaration
public NurbsCurve(int degree, IEnumerable<Point> controlPoints)
Parameters
Type Name Description
Int32 degree

Degree of the interpolating BSpline polynomial basis.
IEnumerable<Point> controlPoints

Control points of the NurbsCurve.
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NurbsCurve(Int32, IEnumerable<Double>, IEnumerable<Point>, IEnumerable<Double>)

Initialises a new instance of NurbsCurve class by defining its fields.

Declaration
public NurbsCurve(int degree, IEnumerable<double> knotVector, IEnumerable<Point> controlPoints, IEnumerable<double> weights)
Parameters
Type Name Description
Int32 degree

Degree of the interpolating BSpline polynomial basis.
IEnumerable<Double> knotVector

Knot vector of the interpolating BSpline polynomial basis.
IEnumerable<Point> controlPoints

Control points of the NurbsCurve.
IEnumerable<Double> weights

Weights of the control points.

Properties

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EndPoint

Class defining a NURBS curve in three-dimensional euclidean space.

Declaration
public Point EndPoint { get; }
Property Value
Type Description
Point
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StartPoint

Class defining a NURBS curve in three-dimensional euclidean space.

Declaration
public Point StartPoint { get; }
Property Value
Type Description
Point

Methods

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PointAt(Double, CurveParameterFormat)

Class defining a NURBS curve in three-dimensional euclidean space.

Declaration
public Point PointAt(double parameter, CurveParameterFormat format)
Parameters
Type Name Description
Double parameter
CurveParameterFormat format
Returns
Type Description
Point
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ToProjective(IEnumerable<Point>, IEnumerable<Double>)

Converts the control points for the current NurbsCurve.

Declaration
protected static IEnumerable<Point> ToProjective(IEnumerable<Point> controlPoints, IEnumerable<double> weights)
Parameters
Type Name Description
IEnumerable<Point> controlPoints

Point to convert.
IEnumerable<Double> weights

Weigths to include in the conversion.
Returns
Type Description
IEnumerable<Point>

The Point resulting from the conversion.
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ToProjective(IEnumerable<Point>)

Converts the control points for the current NurbsCurve.

Declaration
protected static IEnumerable<Point> ToProjective(IEnumerable<Point> controlPoints)
Parameters
Type Name Description
IEnumerable<Point> controlPoints

Point to convert.
Returns
Type Description
IEnumerable<Point>

The Point resulting from the conversion.