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)
	Constructor.

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

int	UDegree ()
	Returns degree.

int	VDegree ()
	Returns degree.

int	NumberOfUPoles ()
	Returns number of U-poles.

int	NumberOfVPoles ()
	Returns number of V-poles.

cadex.Geom.Point	Pole (int theUIndex, int theVIndex)
	Returns a pole value.

cadex.Collections.PointList	Poles ()
	Populates a 2D table of poles.

double	Weight (int theUIndex, int theVIndex)
	Returns a weight value.

cadex.Collections.DoubleList	Weights ()
	Populates a 2D table of weights.

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)
	Evaluates a point on the surface.

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

bool	IsUPeriodic ()
	Returns true if the surface is periodic in U direction.

bool	IsVPeriodic ()
	Returns true if the surface is periodic in V direction.

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)
	Applies transformation matrix to this object.

cadex.Geom.Surface	Transformed (cadex.Geom.Transformation theTransformation)
	Returns a copy this object after applying transformation.

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)

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

Constructor.

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.

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 number of U-poles.

Returns the value specified in the constructor.

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

◆ NumberOfVPoles()

int cadex.Geom.BezierSurface.NumberOfVPoles ( )

inline

Returns number of V-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.BezierSurface.Pole	(	int	theUIndex,
		int	theVIndex )

inline

Returns a pole value.

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

See also: Weight().

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

◆ Poles()

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

inline

Populates a 2D table of poles.

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

Returns NumberOfUPoles() * NumberOfVPoles().

See also: Weights().

◆ UDegree()

int cadex.Geom.BezierSurface.UDegree ( )

inline

Returns degree.

Returns the value equal to NumberOfUPoles() - 1.

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

◆ VDegree()

int cadex.Geom.BezierSurface.VDegree ( )

inline

Returns degree.

Returns the value equal to NumberOfVPoles() - 1.

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

◆ Weight()

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

inline

Returns a weight value.

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

For polynomial Bezier surface behavior is undefined.

See also: Pole().

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

◆ Weights()

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

inline

Populates a 2D table of weights.

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

Returns NumberOfUPoles() * NumberOfVPoles().

See also: 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()