Class ImplicitPSurface

A surface, defined by a polynom in 3 variables. The surface is defined as P(x,y,z)==0.

Inheritance

System.Object

ImplicitPSurface

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

Assembly: CADability.dll

Syntax

public class ImplicitPSurface

Constructors

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ImplicitPSurface(ISurface, BoundingRect, Int32)

Declaration

public ImplicitPSurface(ISurface surface, BoundingRect uvbounds, int maxdegree)

Parameters

Type	Name	Description
ISurface	surface
BoundingRect	uvbounds
System.Int32	maxdegree

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ImplicitPSurface(ISurface, BoundingRect, Int32, Boolean, Int32)

Approximate the provided surface with a imlicit polynomial surface. Uses points an normals of the surface. Yields good results for quadrics (degree==2) and for ruled surfaces.

Declaration

public ImplicitPSurface(ISurface surface, BoundingRect uvbounds, int degree, bool useNormal, int nPoints = 0)

Parameters

Type	Name	Description
ISurface	surface
BoundingRect	uvbounds
System.Int32	degree
System.Boolean	useNormal
System.Int32	nPoints

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ImplicitPSurface(ISurface, BoundingRect, Int32, Double)

Declaration

public ImplicitPSurface(ISurface surface, BoundingRect uvbounds, int maxdegree, double precision)

Parameters

Type	Name	Description
ISurface	surface
BoundingRect	uvbounds
System.Int32	maxdegree
System.Double	precision

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ImplicitPSurface(GeoPoint[])

Creates a quadric through these points (needs at least 10 points)

Declaration

public ImplicitPSurface(GeoPoint[] samples)

Parameters

Type	Name	Description
GeoPoint[]	samples

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ImplicitPSurface(Polynom)

Declaration

public ImplicitPSurface(Polynom polynom)

Parameters

Type	Name	Description
Polynom	polynom

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ImplicitPSurface(Polynom, ModOp)

Declaration

public ImplicitPSurface(Polynom polynom, ModOp m)

Parameters

Type	Name	Description
Polynom	polynom
ModOp	m

Properties

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Polynom

Returns the implicit polynom of this surface (i.e. polynom(x,y,z)==0 for all points on the surface)

Declaration

public Polynom Polynom { get; }

Property Value

Type	Description
Polynom

Methods

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FootPoint(GeoPoint)

Declaration

public GeoPoint[] FootPoint(GeoPoint fromHere)

Parameters

Type	Name	Description
GeoPoint	fromHere

Returns

Type	Description
GeoPoint[]

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Intersect(ExplicitPCurve3D, out Double[])

Returns the intersection points of the provided curve with this surface.

Declaration

public GeoPoint[] Intersect(ExplicitPCurve3D c3d, out double[] u)

Parameters

Type	Name	Description
ExplicitPCurve3D	c3d	curve to intersect with
System.Double[]	u	returns the parameter values for the curve of the intersection points

Returns

Type	Description
GeoPoint[]	the intersection points

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Intersect(GeoPoint, GeoVector, out Double[])

Declaration

public GeoPoint[] Intersect(GeoPoint sp, GeoVector dir, out double[] u)

Parameters

Type	Name	Description
GeoPoint	sp
GeoVector	dir
System.Double[]	u

Returns

Type	Description
GeoPoint[]

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LagrangeReduction3()

Modifies the surface into it's "canonical" position. A sphere will be around the origin, a cylinder will be around the z-axis, a cone will be around the z-axis with its apex at the origin. The returned ModOp modifies the canonical form into the original form. Makes only sense for quadrics

Declaration

public ModOp LagrangeReduction3()

Returns

Type	Description
ModOp	the modification that transforms the canonical form into the initial form

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MinMaxToCurve(ExplicitPCurve3D, out Double[])

Declaration

public GeoPoint[] MinMaxToCurve(ExplicitPCurve3D c3d, out double[] u)

Parameters

Type	Name	Description
ExplicitPCurve3D	c3d
System.Double[]	u

Returns

Type	Description
GeoPoint[]

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MinMaxToPatch(GeoPoint, GeoVector, GeoVector)

Returns a list of all points of the surface, where there is a minimum or maximum distance to the plane, defined by loc, dirx, diry. Returns only those points, which have a (perpendicular) footpoint in the parallelogram, defined by the parameters.

Declaration

public GeoPoint[] MinMaxToPatch(GeoPoint loc, GeoVector dirx, GeoVector diry)

Parameters

Type	Name	Description
GeoPoint	loc
GeoVector	dirx
GeoVector	diry

Returns

Type	Description
GeoPoint[]

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Normal(GeoPoint)

Declaration

public GeoVector Normal(GeoPoint fromHere)

Parameters

Type	Name	Description
GeoPoint	fromHere

Returns

Type	Description
GeoVector

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PerpendicularToGradient(ExplicitPCurve3D)

Declaration

public double[] PerpendicularToGradient(ExplicitPCurve3D curve)

Parameters

Type	Name	Description
ExplicitPCurve3D	curve

Returns

Type	Description
System.Double[]

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PerpendicularToGradient(GeoPoint, GeoVector)

Declaration

public double[] PerpendicularToGradient(GeoPoint lineStart, GeoVector lineDirection)

Parameters

Type	Name	Description
GeoPoint	lineStart
GeoVector	lineDirection

Returns

Type	Description
System.Double[]

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PolynomialDistance(GeoPoint)

Declaration

public double PolynomialDistance(GeoPoint fromHere)

Parameters

Type	Name	Description
GeoPoint	fromHere

Returns

Type	Description
System.Double