Defines a Bezier surface. More...

Inheritance diagram for cadex.Geom.BezierSurface:

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

	BezierSurface (cadex.Collections.PointList thePoles, int theNumberOfUPoles, int theNumberOfVPoles)
	Creates a polynomial Bezier surface.

	BezierSurface (cadex.Collections.PointList thePoles, cadex.Collections.DoubleList thePoleWeights, int theNumberOfUPoles, int theNumberOfVPoles)

int	UDegree ()
	Returns the value equal to NumberOfUPoles() - 1.

int	VDegree ()
	Returns the value equal to NumberOfVPoles() - 1.

int	NumberOfUPoles ()
	Returns the value specified in the constructor.

int	NumberOfVPoles ()
	Returns the value specified in the constructor.

cadex.Geom.Point	Pole (int theUIndex, int theVIndex)
	theUIndex must be in the range [1, NumberOfUPoles()], theVIndex in the range [1, NumberOfVPoles()].

cadex.Collections.PointList	Poles ()
	thePoles must point to a buffer in memory with at least NumberOfUPoles() * NumberOfVPoles() preallocated values.

double	Weight (int theUIndex, int theVIndex)
	theUIndex must be in the range [1, NumberOfUPoles()], theVIndex in the range [1, NumberOfVPoles()].

cadex.Collections.DoubleList	Weights ()
	thePoles must point to a buffer in memory with at least NumberOfUPoles() * NumberOfVPoles() preallocated values.

Public Member Functions inherited from cadex.Geom.Surface
	Surface (global::System.IntPtr cPtr, bool cMemoryOwn)

cadex.Geom.SurfaceType	Type ()
	Returns a surface type.

cadex.Geom.Continuity	Continuity ()
	Returns a continuity type of the surface.

cadex.Geom.Point	Value (double theParameterU, double theParameterV)
	theParameterU must be within [UMin(), UMax()] if the surface is not U-periodic.

cadex.Geom.Direction	Normal (double theParameterU, double theParameterV)

bool	IsUPeriodic ()
	Examples include sphere, torus or a surface of revolution.

bool	IsVPeriodic ()
	Examples include torus or a V-periodic B-Spline.

double	UMin ()
	Returns a minimum parameter of a definition domain in U direction.

double	UMax ()
	Returns a maximum parameter of a definition domain in U direction.

double	VMin ()
	Returns a minimum parameter of a definition domain in V direction.

double	VMax ()
	Returns a maximum parameter of a definition domain in V direction.

void	Domain (out double theUMin, out double theUMax, out double theVMin, out double theVMax)
	Returns a definition domain.

bool	IsTrimmed ()
	Returns whether surface is trimmed or not.

void	SetTrim (double theUFirst, double theULast, double theVFirst, double theVLast)
	Trims surface with [theUFirst, theULast] x [theVFirst, theVLast] section.

void	Transform (cadex.Geom.Transformation theTransformation)
	Results depends on the actual surface type.

cadex.Geom.Surface	Transformed (cadex.Geom.Transformation theTransformation)
	The contents of this object is not modified.

void	D0 (double theParameterU, double theParameterV, cadex.Geom.Point theValue)

void	D1 (double theParameterU, double theParameterV, cadex.Geom.Point theValue, cadex.Geom.Vector theD1U, cadex.Geom.Vector theD1V)

void	D2 (double theParameterU, double theParameterV, cadex.Geom.Point theValue, cadex.Geom.Vector theD1U, cadex.Geom.Vector theD1V, cadex.Geom.Vector theD2U, cadex.Geom.Vector theD2V, cadex.Geom.Vector theD2UV)

bool	DN (double theParameterU, double theParameterV, uint theDerivativeOrder, cadex.Geom.Point theValue, cadex.Collections.VectorList theD)
	Returns true if calculation was passed succsesfully, the returned vectors gives the value of the derivative for the order of derivation theDerivativeOrder.

void	Curvature (double theParameterU, double theParameterV, cadex.Geom.Direction thePrincipalMaxDirection, cadex.Geom.Direction thePrincipalMinDirection)

void	Curvature (double theParameterU, double theParameterV, cadex.Geom.Direction thePrincipalMaxDirection, cadex.Geom.Direction thePrincipalMinDirection, out double theMaxCurvature, out double theMinCurvature)

void	Mirror (cadex.Geom.Point thePoint)

void	Mirror (cadex.Geom.Axis1d theAxis)

void	Mirror (cadex.Geom.Axis3d theAxis)

cadex.Geom.Surface	Mirrored (cadex.Geom.Point theRef)

cadex.Geom.Surface	Mirrored (cadex.Geom.Axis1d theAxis)

cadex.Geom.Surface	Mirrored (cadex.Geom.Axis3d theAxis)

void	Rotate (cadex.Geom.Axis1d theAxis, double theAngle)

cadex.Geom.Surface	Rotated (cadex.Geom.Axis1d theAxis, double theAngle)

void	Translate (cadex.Geom.Vector theVector)

cadex.Geom.Surface	Translated (cadex.Geom.Vector theVector)

void	Scale (cadex.Geom.Point thePoint, double theScale)

cadex.Geom.Surface	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.BezierSurface	Cast (cadex.Geom.Surface theBase)

Static Public Member Functions inherited from cadex.Geom.Surface
static new bool	CompareType (cadex.BaseObject theObject)

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.Surface
override void	Dispose (bool disposing)

Detailed Description

Defines a Bezier surface.

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

Bezier surface

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

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

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

The Bezier surface is always considered non-periodic.

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

Constructor & Destructor Documentation

◆ BezierSurface()

cadex.Geom.BezierSurface.BezierSurface	(	cadex.Collections.PointList	thePoles,
		int	theNumberOfUPoles,
		int	theNumberOfVPoles )

inline

Creates a polynomial Bezier surface.

thePoles contains a 2D table of poles, with size equal to theNumberOfUPoles * theNumberOfVPoles. theNumberOfUPoles and theNumberOfVPoles must be >=2 each. Constructor.

Member Function Documentation

◆ Dispose()

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

inlineprotectedvirtual

Reimplemented from cadex.BaseObject.

◆ NumberOfUPoles()

int cadex.Geom.BezierSurface.NumberOfUPoles ( )

inline

Returns the value specified in the constructor.

Returns number of U-poles.

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

◆ NumberOfVPoles()

int cadex.Geom.BezierSurface.NumberOfVPoles ( )

inline

Returns the value specified in the constructor.

Returns number of V-poles.

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

◆ Pole()

cadex.Geom.Point cadex.Geom.BezierSurface.Pole	(	int	theUIndex,
		int	theVIndex )

inline

theUIndex must be in the range [1, NumberOfUPoles()], theVIndex in the range [1, NumberOfVPoles()].

See also: Weight(). Returns a pole value.

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

◆ Poles()

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

inline

thePoles must point to a buffer in memory with at least NumberOfUPoles() * NumberOfVPoles() preallocated values.

Returns NumberOfUPoles() * NumberOfVPoles().

See also: Weights(). Populates a 2D table of poles.

◆ UDegree()

int cadex.Geom.BezierSurface.UDegree ( )

inline

Returns the value equal to NumberOfUPoles() - 1.

Returns degree.

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

◆ VDegree()

int cadex.Geom.BezierSurface.VDegree ( )

inline

Returns the value equal to NumberOfVPoles() - 1.

Returns degree.

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

◆ Weight()

double cadex.Geom.BezierSurface.Weight	(	int	theUIndex,
		int	theVIndex )

inline

theUIndex must be in the range [1, NumberOfUPoles()], theVIndex in the range [1, NumberOfVPoles()].

For polynomial Bezier surface behavior is undefined.

See also: Pole(). Returns a weight value.

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

◆ Weights()

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

inline

thePoles must point to a buffer in memory with at least NumberOfUPoles() * NumberOfVPoles() preallocated values.

Returns NumberOfUPoles() * NumberOfVPoles().

See also: Weights(). Populates a 2D table of weights.

Public Member Functions

Static Public Member Functions

Protected Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ BezierSurface()

Member Function Documentation

◆ Dispose()

◆ NumberOfUPoles()

◆ NumberOfVPoles()

◆ Pole()

◆ Poles()

◆ UDegree()

◆ VDegree()

◆ Weight()

◆ Weights()