Class NurbsSurface

Represents a NURBS surface. Contains properties and methods for operating with NURBS surfaces.

Inheritance

System.Object

NurbsSurface

Implements

ISurface

Namespace: Paramdigma.Core.Geometry

Assembly: Paramdigma.Core.dll

Syntax

public class NurbsSurface : object, ISurface

Constructors

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NurbsSurface(Matrix<Point4d>, Int32, Int32)

Initializes a new instance of NurbsSurface by it's control points and degrees.

Declaration

public NurbsSurface(Matrix<Point4d> controlPoints, int degreeU, int degreeV)

Parameters

Type	Name	Description
Matrix<Point4d>	controlPoints	Grid of control points for the surface.
System.Int32	degreeU	Degree of the surface in the U direction.
System.Int32	degreeV	Degree of the surface in the V direction.

Fields

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ControlPoints

The surface's grid of control points.

Declaration

public readonly Matrix<Point4d> ControlPoints

Field Value

Type	Description
Matrix<Point4d>

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DegreeU

Surface's degree in the U direction

Declaration

public readonly int DegreeU

Field Value

Type	Description
System.Int32

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DegreeV

Surface's degree in the V direction

Declaration

public readonly int DegreeV

Field Value

Type	Description
System.Int32

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KnotsU

Knot vector in the U direction.

Declaration

public readonly List<double> KnotsU

Field Value

Type	Description
List<System.Double>

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KnotsV

Knot vector in the V direction.

Declaration

public readonly List<double> KnotsV

Field Value

Type	Description
List<System.Double>

Properties

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DomainU

Gets the domain in the U direction.

Declaration

public Interval DomainU { get; }

Property Value

Type	Description
Interval	Interval.

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DomainV

Gets the domain in the V direction.

Declaration

public Interval DomainV { get; }

Property Value

Type	Description
Interval	Interval.

Methods

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ClosestPointTo(Point3d)

Compute the projection of a point on this surface.

Declaration

public Point3d ClosestPointTo(Point3d point)

Parameters

Type	Name	Description
Point3d	point	Point to compute distance to.

Returns

Type	Description
Point3d	Projected 3d point on the surface.

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CreateFlatSurface(Interval, Interval, Int32, Int32)

Creates a square flat surface on the XY Plane.

Declaration

public static NurbsSurface CreateFlatSurface(Interval xDimension, Interval yDimension, int xCount, int yCount)

Parameters

Type	Name	Description
Interval	xDimension	Dimension interval on the X direction.
Interval	yDimension	Dimension interval on the Y direction.
System.Int32	xCount	Number of points on the X direction.
System.Int32	yCount	Number of points on the Y direction.

Returns

Type	Description
NurbsSurface	Flat nurbs surface.

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DerivativesAt(Double, Double, Int32)

Computes the derivatives at at S(u,v).

Declaration

public Matrix<Vector3d> DerivativesAt(double u, double v, int count)

Parameters

Type	Name	Description
System.Double	u	U parameter to compute at.
System.Double	v	V parameter to compute at.
System.Int32	count	Number of derivatives to compute.

Returns

Type	Description
Matrix<Vector3d>	Computed derivatives.

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DistanceTo(Point3d)

Compute the distance between this surface and a point.

Declaration

public double DistanceTo(Point3d point)

Parameters

Type	Name	Description
Point3d	point	Point to compute distance to.

Returns

Type	Description
System.Double	Number representing the distance.

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FrameAt(Double, Double)

Compute the tangent plane at the specified surface coordinates.

Declaration

public Plane FrameAt(double u, double v)

Parameters

Type	Name	Description
System.Double	u	U coordinate.
System.Double	v	V coordinate.

Returns

Type	Description
Plane	Tangent plane.

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NormalAt(Double, Double)

Compute the normal at the specified surface coordinates.

Declaration

public Vector3d NormalAt(double u, double v)

Parameters

Type	Name	Description
System.Double	u	U coordinate.
System.Double	v	V coordinate.

Returns

Type	Description
Vector3d	Normal vector.

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PointAt(Double, Double)

Compute a point at the specified surface coordinates.

Declaration

public Point3d PointAt(double u, double v)

Parameters

Type	Name	Description
System.Double	u	U coordinate.
System.Double	v	V coordinate.

Returns

Type	Description
Point3d	Point3d.

Implements

ISurface