cadex.Geom.OffsetCurve Class Reference

Defines 3D offset curve. More...

Inheritance diagram for cadex.Geom.OffsetCurve:

Public Member Functions
	OffsetCurve (global::System.IntPtr cPtr, bool cMemoryOwn)
	OffsetCurve (cadex.Geom.Curve theBasicCurve, double theOffset, cadex.Geom.Direction theDirection)
	Constructor.
cadex.Geom.Curve	BasisCurve ()
	Returns basis curve.
double	Offset ()
	Returns offset value.
cadex.Geom.Direction	Direction ()
	Returns reference direction.
Public Member Functions inherited from cadex.Geom.Curve
	Curve (global::System.IntPtr cPtr, bool cMemoryOwn)
cadex.Geom.CurveType	Type ()
cadex.Geom.Continuity	Continuity ()
	Returns a continuity type of the curve.
cadex.Geom.Point	Value (double theParameter)
	Evaluates a point on the curve.
cadex.Geom.Direction	Normal (double theParameter)
	Returns the normal direction theNormal of parameter theParam.
double	Curvature (double theParameter)
	Returns the curvature value of parameter theParam.
bool	IsPeriodic ()
	Returns true if the curve is periodic.
double	UMin ()
	Returns a minimum parameter of a definition domain.
double	UMax ()
	Returns a maximum parameter of a definition domain.
void	Domain (out double theUMin, out double theUMax)
	Returns a definition domain.
bool	IsTrimmed ()
	Returns whether curve is trimmed or not.
void	SetTrim (double theFirst, double theLast)
	Trims curve with [theFirst, theLast] section.
void	Transform (cadex.Geom.Transformation theTransformation)
	Applies transformation matrix to this object.
cadex.Geom.Curve	Transformed (cadex.Geom.Transformation theTransformation)
	Returns a copy this object after applying transformation.
void	D0 (double theParameter, cadex.Geom.Point theValue)
	Returns the point theValue of parameter theParam.
void	D1 (double theParameter, cadex.Geom.Point theValue, cadex.Geom.Vector theD1)
void	D2 (double theParameter, cadex.Geom.Point theValue, cadex.Geom.Vector theD1, cadex.Geom.Vector theD2)
	Returns the point theValue of parameter theParam, the first theD1 and second theD2 derivatives.
bool	DN (double theParameter, uint theDerivativeOrder, cadex.Geom.Point theValue, cadex.Collections.VectorList theD)
void	Mirror (cadex.Geom.Point thePoint)
void	Mirror (cadex.Geom.Axis1d theAxis)
void	Mirror (cadex.Geom.Axis3d theAxis)
cadex.Geom.Curve	Mirrored (cadex.Geom.Point theRef)
cadex.Geom.Curve	Mirrored (cadex.Geom.Axis1d theAxis)
cadex.Geom.Curve	Mirrored (cadex.Geom.Axis3d theAxis)
void	Rotate (cadex.Geom.Axis1d theAxis, double theAngle)
cadex.Geom.Curve	Rotated (cadex.Geom.Axis1d theAxis, double theAngle)
void	Translate (cadex.Geom.Vector theVector)
cadex.Geom.Curve	Translated (cadex.Geom.Vector theVector)
void	Scale (cadex.Geom.Point thePoint, double theScale)
cadex.Geom.Curve	Scaled (cadex.Geom.Point thePoint, double theScale)
Public Member Functions inherited from cadex.Geom.Geometry
	Geometry (global::System.IntPtr cPtr, bool cMemoryOwn)
Public Member Functions inherited from cadex.BaseObject
	BaseObject (global::System.IntPtr cPtr, bool cMemoryOwn)
void	Dispose ()
bool	IsNull ()
ulong	Id ()
	Return unique identifier of public object.
bool	IsEqual (cadex.BaseObject theObj)
override int	GetHashCode ()
override bool	Equals (System.Object o)

Static Public Member Functions
static new bool	CompareType (cadex.BaseObject theObject)
static cadex.Geom.OffsetCurve	Cast (cadex.Geom.Curve theBase)
Static Public Member Functions inherited from cadex.Geom.Curve
static new bool	CompareType (cadex.BaseObject theObject)
static cadex.Geom.Curve	Cast (cadex.Geom.Geometry theBase)
Static Public Member Functions inherited from cadex.Geom.Geometry
static bool	CompareType (cadex.BaseObject theObject)
static cadex.Geom.Geometry	Cast (cadex.BaseObject theBase)

Protected Member Functions
override void	Dispose (bool disposing)

Detailed Description

Defines 3D offset curve.

An offset curve is defined by a basis curve, reference direction and offset value.

The following image depicts an example of a planar offset curve:

Offset Curve

A basis curve must be at least G1-continous, otherwise behavior is undefined (most likely an exception will be thrown).

An offset curve is parametrized as follows: \(\mathbf{C}(t) = \mathbf{B}(t) + \mathrm{offset}\cdot\mathbf{V}(t)\), where

• \(\mathbf{B}(t)\) is a point on a basis curve at parameter \(t\);
• \(\mathrm{offset}\) is an offset value;
• \(\mathbf{V}(t)\) is a unit vector defined as \(\frac{\mathbf{B}'(t) \times \mathbf{D}}{\|\mathbf{B}'(t) \times \mathbf{D}\|}\),
• \(\mathbf{D}\) is a specified reference direction,
• \(\mathbf{B}'(t)\) is first derivative vector computed on a basis curve at parameter \(t\).

If the basis curve is planar and reference direction \(\mathbf{D}\) is perpendicular to a plane of the basis curve, then the offset curve also belongs to that plane and is shifted by \(\mathrm{offset}\) value from the basis curve.

IsPeriodic() returns a value returned by the basis curve.

See also

OffsetCurve2d.

Examples

exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Constructor & Destructor Documentation

OffsetCurve()

cadex.Geom.OffsetCurve.OffsetCurve ( cadex.Geom.Curve theBasicCurve, double theOffset, cadex.Geom.Direction theDirection )

inline

Constructor.

If theBasisCurve is an offset curve then its basis curve will be used as a basis curve and offset will be a sum of theOffset and the offset value of the theBasisCurve.

theBasisCurve must be at least G1-continuous, otherwise behavior is undefined.

Member Function Documentation

Direction()

cadex.Geom.Direction cadex.Geom.OffsetCurve.Direction ( )

inline

Returns reference direction.

Returns the value specified in constructor.

Examples

exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.

Dispose()

override void cadex.Geom.OffsetCurve.Dispose ( bool disposing )

inlineprotectedvirtual

Reimplemented from cadex.Geom.Curve.

Offset()

double cadex.Geom.OffsetCurve.Offset ( )

inline

Returns offset value.

Returns the value specified in constructor.

Examples

exploring/brep_geometry/Program.cs, and exploring/brep_geometry/main.cxx.