BRepBuilderSurfaceGeometryCreateNURBSSurface(Int32, Int32, IListDouble, IListDouble, IListXYZ, IListDouble, Boolean, BoundingBoxUV) Method

public static BRepBuilderSurfaceGeometry CreateNURBSSurface(
	int degreeU,
	int degreeV,
	IList<double> knotsU,
	IList<double> knotsV,
	IList<XYZ> controlPoints,
	IList<double> weights,
	bool bReverseOrientation,
	BoundingBoxUV surfaceEnvelope
)

Public Shared Function CreateNURBSSurface ( 
	degreeU As Integer,
	degreeV As Integer,
	knotsU As IList(Of Double),
	knotsV As IList(Of Double),
	controlPoints As IList(Of XYZ),
	weights As IList(Of Double),
	bReverseOrientation As Boolean,
	surfaceEnvelope As BoundingBoxUV
) As BRepBuilderSurfaceGeometry

public:
static BRepBuilderSurfaceGeometry^ CreateNURBSSurface(
	int degreeU, 
	int degreeV, 
	IList<double>^ knotsU, 
	IList<double>^ knotsV, 
	IList<XYZ^>^ controlPoints, 
	IList<double>^ weights, 
	bool bReverseOrientation, 
	BoundingBoxUV^ surfaceEnvelope
)

static member CreateNURBSSurface : 
        degreeU : int * 
        degreeV : int * 
        knotsU : IList<float> * 
        knotsV : IList<float> * 
        controlPoints : IList<XYZ> * 
        weights : IList<float> * 
        bReverseOrientation : bool * 
        surfaceEnvelope : BoundingBoxUV -> BRepBuilderSurfaceGeometry 

Parameters

degreeU  Int32

The degree of the spline in the u-direction; must be positive.

degreeV  Int32

The degree of the spline in the v-direction; must be positive.

knotsU  IListDouble

Knot values in the u-direction. The number of knots in the u-direction must be at least 2 * (degreeU + 1).

knotsV  IListDouble

Knot values in the v-direction. The number of knots in the v-direction must be at least 2 * (degreeV + 1).

controlPoints  IListXYZ

One dimensional array of points representing the two dimensional net of control points of the NURBS surface in u and v directions.

The total number of control points must equal numControlPtsU times numControlPtsV, where numControlPtsU and numControlPtsV are the numbers of control points in u and v directions, and they must satisfy the following conditions:

• numControlPtsU = number of knots in u - degreeU - 1.
• numControlPtsV = number of knots in v - degreeV - 1.

The convention for 2d (idxU, idxV) to 1d (idx) conversion of array indexes: idxV first. That is, idxU is outer loop and idxV is inner loop. In other words, idx = idxU * numControlPtsV + idxV.

weights  IListDouble

Array of weights assigned to the control points. The number of weights must equal the number of control points. All weights should be greater than zero.

bReverseOrientation  Boolean

If true, the surface's orientation is opposite to the canonical parametric orientation, otherwise it is the same. The canonical parametric orientation is a counter-clockwise sense of rotation in the uv-parameter plane. Extrinsically, the oriented normal vector for the canonical parametric orientation points in the direction of the cross product dS/du x dS/dv, which S(u, v) is the parameterized surface.

surfaceEnvelope  BoundingBoxUV

Envelope of the surface in the uv parametric domain. Defines the domain of interest for the created surface. This is typically used to identify the domain of the face that references the surface in question. Expected to either be null or define a valid domain.

Return Value

• A rational polynomial is a quotient of two polynomials; this includes a polynomial, which can be thought of as a quotient with denominator equal to 1. If all the weights are equal, then the NURBS surface will be a piecewise polynomial surface.
• This class does not handle periodic Nurbs surfaces.

Reference