Class SphericalSurfaceNP

A spherical surface with a non periodic u/v system. It also has no poles. It cannot represent a whole sphere, there must be some part which is outside the usable area. The center, xAxis, yAxis and zAxis define a coordinate system. The plane defined by (center, xAxis and yAxis) is the equator plane of the sphere, (center+zAxis) is the north pole. (center-zAxis9 is the south pole, which may not be part of the used area. The u/v system is the u/v system of the equator area. The point of the sphere for a provided u/v point is the projection of this point from the south pole to the surface. All circular arcs on the sphere (e.g. planar intersections) are elliptical arcs in the u/v system (or lines, when they pass the north pole)

Inheritance
System.Object
ISurfaceImpl
SphericalSurfaceNP
Implements
System.Runtime.Serialization.ISerializable
Inherited Members
System.Object.Equals(System.Object)
System.Object.Equals(System.Object, System.Object)
System.Object.GetHashCode()
System.Object.GetType()
System.Object.MemberwiseClone()
System.Object.ReferenceEquals(System.Object, System.Object)
System.Object.ToString()
Namespace: CADability.GeoObject
Assembly: CADability.dll
Syntax
[Serializable]
public class SphericalSurfaceNP : ISurfaceImpl, ISurface, IOctTreeInsertable, IJsonSerialize, ISerializable

Constructors

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SphericalSurfaceNP()

Declaration
protected SphericalSurfaceNP()
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SphericalSurfaceNP(GeoPoint, GeoVector, GeoVector, GeoVector)

Declaration
public SphericalSurfaceNP(GeoPoint center, GeoVector xAxis, GeoVector yAxis, GeoVector zAxis)
Parameters
Type Name Description
GeoPoint center
GeoVector xAxis
GeoVector yAxis
GeoVector zAxis
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SphericalSurfaceNP(GeoPoint, Double, Boolean, ICurve[])

Constructs a non periodic spherical surface with center and radius. The z-axis will be oriented so that the "south pole" falls into an unused part of the sphere. The edges are orientedCurves bound the sphere so that when you walk along the curve (outwardOriented==true: on the outside, false: on the inside of the sphere), the used surfaces is on the left side of the curve. The curves must all be connected and define one or more closed loops on the surface.

Declaration
public SphericalSurfaceNP(GeoPoint center, double radius, bool outwardOriented, ICurve[] orientedCurves)
Parameters
Type Name Description
GeoPoint center
System.Double radius
System.Boolean outwardOriented

true: the center is on the inside, false: the center is on the outside of the surface
ICurve[] orientedCurves
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SphericalSurfaceNP(SerializationInfo, StreamingContext)

Declaration
protected SphericalSurfaceNP(SerializationInfo info, StreamingContext context)
Parameters
Type Name Description
System.Runtime.Serialization.SerializationInfo info
System.Runtime.Serialization.StreamingContext context

Properties

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IsUPeriodic

Declaration
public override bool IsUPeriodic { get; }
Property Value
Type Description
System.Boolean
Overrides
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IsVPeriodic

Declaration
public override bool IsVPeriodic { get; }
Property Value
Type Description
System.Boolean
Overrides
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UvChangesWithModification

Declaration
public override bool UvChangesWithModification { get; }
Property Value
Type Description
System.Boolean
Overrides

Methods

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Clone()

Declaration
public override ISurface Clone()
Returns
Type Description
ISurface
Overrides
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CopyData(ISurface)

Declaration
public override void CopyData(ISurface CopyFrom)
Parameters
Type Name Description
ISurface CopyFrom
Overrides
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Derivation2At(GeoPoint2D, out GeoPoint, out GeoVector, out GeoVector, out GeoVector, out GeoVector, out GeoVector)

Declaration
public override void Derivation2At(GeoPoint2D uv, out GeoPoint p, out GeoVector du, out GeoVector dv, out GeoVector duu, out GeoVector dvv, out GeoVector duv)
Parameters
Type Name Description
GeoPoint2D uv
GeoPoint p
GeoVector du
GeoVector dv
GeoVector duu
GeoVector dvv
GeoVector duv
Overrides
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FixedU(Double, Double, Double)

Declaration
public override ICurve FixedU(double u, double vmin, double vmax)
Parameters
Type Name Description
System.Double u
System.Double vmin
System.Double vmax
Returns
Type Description
ICurve
Overrides
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FixedV(Double, Double, Double)

Declaration
public override ICurve FixedV(double v, double umin, double umax)
Parameters
Type Name Description
System.Double v
System.Double umin
System.Double umax
Returns
Type Description
ICurve
Overrides
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GetExtrema()

Declaration
public override GeoPoint2D[] GetExtrema()
Returns
Type Description
GeoPoint2D[]
Overrides
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GetImplicitPolynomial()

Declaration
public override Polynom GetImplicitPolynomial()
Returns
Type Description
Polynom
Overrides
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GetModified(ModOp)

Declaration
public override ISurface GetModified(ModOp m)
Parameters
Type Name Description
ModOp m
Returns
Type Description
ISurface
Overrides
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GetNaturalBounds(out Double, out Double, out Double, out Double)

Declaration
public override void GetNaturalBounds(out double umin, out double umax, out double vmin, out double vmax)
Parameters
Type Name Description
System.Double umin
System.Double umax
System.Double vmin
System.Double vmax
Overrides
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GetProjectedCurve(ICurve, Double)

Declaration
public override ICurve2D GetProjectedCurve(ICurve curve, double precision)
Parameters
Type Name Description
ICurve curve
System.Double precision
Returns
Type Description
ICurve2D
Overrides
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GetPropertyEntry(IFrame)

Declaration
public override IPropertyEntry GetPropertyEntry(IFrame frame)
Parameters
Type Name Description
IFrame frame
Returns
Type Description
IPropertyEntry
Overrides
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PointAt(GeoPoint2D)

Declaration
public override GeoPoint PointAt(GeoPoint2D uv)
Parameters
Type Name Description
GeoPoint2D uv
Returns
Type Description
GeoPoint
Overrides
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PositionOf(GeoPoint)

Declaration
public override GeoPoint2D PositionOf(GeoPoint p)
Parameters
Type Name Description
GeoPoint p
Returns
Type Description
GeoPoint2D
Overrides
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ReverseOrientation()

Declaration
public override ModOp2D ReverseOrientation()
Returns
Type Description
ModOp2D
Overrides
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SameGeometry(BoundingRect, ISurface, BoundingRect, Double, out ModOp2D)

Declaration
public override bool SameGeometry(BoundingRect thisBounds, ISurface other, BoundingRect otherBounds, double precision, out ModOp2D firstToSecond)
Parameters
Type Name Description
BoundingRect thisBounds
ISurface other
BoundingRect otherBounds
System.Double precision
ModOp2D firstToSecond
Returns
Type Description
System.Boolean
Overrides
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UDirection(GeoPoint2D)

Declaration
public override GeoVector UDirection(GeoPoint2D uv)
Parameters
Type Name Description
GeoPoint2D uv
Returns
Type Description
GeoVector
Overrides
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VDirection(GeoPoint2D)

Declaration
public override GeoVector VDirection(GeoPoint2D uv)
Parameters
Type Name Description
GeoPoint2D uv
Returns
Type Description
GeoVector
Overrides

Explicit Interface Implementations

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IJsonSerialize.GetObjectData(IJsonWriteData)

Declaration
void IJsonSerialize.GetObjectData(IJsonWriteData data)
Parameters
Type Name Description
IJsonWriteData data
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IJsonSerialize.SetObjectData(IJsonReadData)

Declaration
void IJsonSerialize.SetObjectData(IJsonReadData data)
Parameters
Type Name Description
IJsonReadData data
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ISerializable.GetObjectData(SerializationInfo, StreamingContext)

Declaration
void ISerializable.GetObjectData(SerializationInfo info, StreamingContext context)
Parameters
Type Name Description
System.Runtime.Serialization.SerializationInfo info
System.Runtime.Serialization.StreamingContext context

Implements

System.Runtime.Serialization.ISerializable