Class Sphere

Represents a spherical surface.

Inheritance

System.Object

Sphere

Implements

ISurface

Namespace: Paramdigma.Core.Geometry

Assembly: Paramdigma.Core.dll

Syntax

public class Sphere : object, ISurface

Constructors

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Sphere()

Initializes a new instance of Sphere around the World origin with unit radius.

Declaration

public Sphere()

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Sphere(Plane, Double)

Initializes a new instance of Sphere given it's base plane and radius.

Declaration

public Sphere(Plane plane, double radius)

Parameters

Type	Name	Description
Plane	plane
System.Double	radius

Properties

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DomainU

Gets the domain in the U direction.

Declaration

public Interval DomainU { get; set; }

Property Value

Type	Description
Interval	Interval.

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DomainV

Gets the domain in the V direction.

Declaration

public Interval DomainV { get; set; }

Property Value

Type	Description
Interval	Interval.

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Plane

Gets or sets the base plane of the sphere.

Declaration

public Plane Plane { get; set; }

Property Value

Type	Description
Plane	Plane.

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Radius

Gets or sets the radius of the sphere.

Declaration

public double Radius { get; set; }

Property Value

Type	Description
System.Double	.

Methods

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ClosestParam(Point3d)

Returns the closest point on the sphere as a 2D point containing it's UV coordinates.

Declaration

public Point2d ClosestParam(Point3d pt)

Parameters

Type	Name	Description
Point3d	pt	Point to find closest to

Returns

Type	Description
Point2d	UV Parameter of the closest point as a Point2d instance.

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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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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(Point2d)

Computes the point at a specified parameter, provided as a Point2d instance.

Declaration

public Point3d PointAt(Point2d uvPoint)

Parameters

Type	Name	Description
Point2d	uvPoint	Point2d parameter coordinates.

Returns

Type	Description
Point3d	Point3d instance of the specified point.

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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