Class BSplineSurface<TPoint>

Class defining a generic B-Spline surface.

Inheritance

Object

BSplineSurface<TPoint>

BSplineSurface

NurbsSurface

Namespace: BRIDGES.Geometry.Kernel

Assembly: BRIDGES.dll

Syntax

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

Type Parameters

Name	Description
TPoint	Type of point in the geometric space.

Constructors

BSplineSurface()

Initialises a new instance of BSplineSurface<TPoint> class.

Declaration

protected BSplineSurface()

BSplineSurface(Int32, Int32, TPoint[,])

Initialises a new instance of BSplineSurface<TPoint> class.

Declaration

public BSplineSurface(int degreeU, int degreeV, TPoint[, ] controlPoints)

Parameters

Type	Name	Description
Int32	degreeU	Degree of the interpolating polynomials in the BSpline basis in u-direction.
Int32	degreeV	Degree of the interpolating polynomials in the BSpline basis in v-direction.
TPoint[,]	controlPoints	Control points of the BSplineSurface<TPoint>.

Fields

_controlPoints

Control points.

Declaration

protected TPoint[, ] _controlPoints

Field Value

Type	Description
TPoint[,]

_knotVectorU

Knot vector in the u-direction.

Declaration

protected List<double> _knotVectorU

Field Value

Type	Description
List<Double>

_knotVectorV

Knot vector in the v-direction.

Declaration

protected List<double> _knotVectorV

Field Value

Type	Description
List<Double>

Properties

DegreeU

Gets the degree of the interpolating polynomials in the BSpline basis in u-direction.

Declaration

public int DegreeU { get; protected set; }

Property Value

Type	Description
Int32

DegreeV

Gets the degree of the interpolating polynomials in the BSpline basis in v-direction.

Declaration

public int DegreeV { get; protected set; }

Property Value

Type	Description
Int32

KnotCountU

Number of knots of the interpolating BSpline polynomial basis in u-direction.

Declaration

public int KnotCountU { get; }

Property Value

Type	Description
Int32

KnotCountV

Number of knots of the interpolating BSpline polynomial basis in v-direction.

Declaration

public int KnotCountV { get; }

Property Value

Type	Description
Int32

PointCountU

Gets the number of control points of the surface in u-direction..

Declaration

public int PointCountU { get; }

Property Value

Type	Description
Int32

PointCountV

Gets the number of control points of the surface in v-direction..

Declaration

public int PointCountV { get; }

Property Value

Type	Description
Int32

Methods

PointAt((Double, Double))

Evaluates the current surface at the given parameter.

Declaration

public TPoint PointAt((double, double) parameter)

Parameters

Type	Name	Description
(, )<Double, Double>	parameter	Value of the parameter.

Returns

Type	Description
TPoint	The point on the surface at the given parameter.

SetControlPoints(TPoint[,])

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

Declaration

protected void SetControlPoints(TPoint[, ] controlPoints)

Parameters

Type	Name	Description
TPoint[,]	controlPoints	Control points of the BSplineSurface<TPoint>.

SetUniformKnotVectors((Double, Double), (Double, Double), (Int32, Int32), (Int32, Int32))

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

Declaration

protected void SetUniformKnotVectors((double, double) domainU, (double, double) domainV, (int, int) degrees, (int, int) knotCounts)

Parameters

Type	Name	Description
(, )<Double, Double>	domainU	Start and End value of the surface domain in u-direction.
(, )<Double, Double>	domainV	Start and End value of the surface domain in v-direction.
(, )<Int32, Int32>	degrees	Degrees of the interpolating polynomials in the BSpline basis in u and v directions.
(, )<Int32, Int32>	knotCounts	Number of knots of the interpolating BSpline polynomial basis in u and v directions.