Defines 3D Bezier curve. More...

Inheritance diagram for cadex.Geom.BezierCurve:

Public Member Functions
	BezierCurve (global::System.IntPtr cPtr, bool cMemoryOwn)

	BezierCurve (cadex.Collections.PointList thePoles)
	Constructor.

	BezierCurve (cadex.Collections.PointList thePoles, cadex.Collections.DoubleList thePoleWeights)
	Constructor.

int	Degree ()
	Returns degree.

int	NumberOfPoles ()
	Returns number of poles.

cadex.Geom.Point	Pole (int theIndex)
	Returns a pole value.

cadex.Collections.PointList	Poles ()
	Populates a vector of weights.

double	Weight (int theIndex)
	Returns a weight value.

cadex.Collections.DoubleList	Weights ()
	Populates a vector of weights.

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.BezierCurve	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)

Protected Member Functions inherited from cadex.Geom.Curve
override void	Dispose (bool disposing)

Protected Member Functions inherited from cadex.Geom.Geometry
override void	Dispose (bool disposing)

Detailed Description

Defines 3D Bezier curve.

Bezier curve is defined by control points (poles) and their weights. The following image depicts an example of a Bezier curve:

Bezier curve

For introduction to and mathematical definition of Bezier curve please refer to external resources, for instance:

A rational Bezier curve contains an explicit vector of weights, whereas polynomial does not.

The curve degree equals number of poles minus one. Degree up to 25 is supported.

The Bezier curve is always considered non-periodic.

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

Constructor & Destructor Documentation

◆ BezierCurve() [1/2]

cadex.Geom.BezierCurve.BezierCurve ( cadex.Collections.PointList thePoles )

inline

Constructor.

Creates a polynomial Bezier curve.

thePoles and must belong to [2, 26]. Created curve has a degree equal to theNumberOfPoles - 1.

◆ BezierCurve() [2/2]

cadex.Geom.BezierCurve.BezierCurve	(	cadex.Collections.PointList	thePoles,
		cadex.Collections.DoubleList	thePoleWeights )

inline

Constructor.

Creates a rational Bezier curve.

theNumberOfPoles defines the length of thePoles and thePoleWeights and must belong to [2, 26]. Created curve has a degree equal to theNumberOfPoles - 1.

Poles are to be provided after division by their weights.

Member Function Documentation

◆ Degree()

int cadex.Geom.BezierCurve.Degree ( )

inline

Returns degree.

Returns the value equal to NumberOfPoles() - 1.

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

◆ Dispose()

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

inlineprotectedvirtual

Reimplemented from cadex.BaseObject.

◆ NumberOfPoles()

int cadex.Geom.BezierCurve.NumberOfPoles ( )

inline

Returns number of poles.

Returns the value specified in the constructor.

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

◆ Pole()

cadex.Geom.Point cadex.Geom.BezierCurve.Pole ( int theIndex )

inline

Returns a pole value.

theIndex must be in the range [1, NumberOfPoles()].

See also: Weight().

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

◆ Poles()

cadex.Collections.PointList cadex.Geom.BezierCurve.Poles ( )

inline

Populates a vector of weights.

theWeights must point to a buffer in memory with at least NumberOfPoles() preallocated values.

Returns NumberOfPoles().

For polynomial Bezier does nothing and returns 0.

See also: Poles().

◆ Weight()

double cadex.Geom.BezierCurve.Weight ( int theIndex )

inline

Returns a weight value.

theIndex must be in the range [1, NumberOfPoles()].

For polynomial Bezier behavior is undefined.

See also: Pole().

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

◆ Weights()

cadex.Collections.DoubleList cadex.Geom.BezierCurve.Weights ( )

inline

Populates a vector of weights.

theWeights must point to a buffer in memory with at least NumberOfPoles() preallocated values.

Returns NumberOfPoles().

For polynomial Bezier does nothing and returns 0.

See also: Poles().

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ BezierCurve() [1/2]

◆ BezierCurve() [2/2]

Member Function Documentation

◆ Degree()

◆ Dispose()

◆ NumberOfPoles()

◆ Pole()

◆ Poles()

◆ Weight()

◆ Weights()