Nth order bezier curve edge. Only interior control points should be specified. The outer points are taken as start and end. Note that the calculation of each point takes 0(N^2) time, where N is the number of control points. This edge type shouldn't therefore be used for finely discretised line data; polyLine or similar will be more appropriate for such cases. Beziers are useful for simple curved shapes such as aerofoils, or when you want an edge to match a specific direction at one, or both, or its endpoints. In comparison with BSplines, the grading of bezier edges should be smoother, and the code is much simpler. The algorithmic order is worse, however, and the edge will not follow the control points as closely. More...

Inheritance diagram for bezier:

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Collaboration diagram for bezier:

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Public Member Functions
	TypeName ("bezier")

	bezier (const pointField &points, const label start, const label end, const pointField &control)
	Construct from components. More...

	bezier (const dictionary &dict, const label index, const searchableSurfaces &geometry, const pointField &, Istream &)
	Construct from Istream. More...

virtual	~bezier ()=default
	Destructor. More...

point	position (const scalar lambda) const
	Return the point position corresponding to the curve parameter. More...

scalar	length () const
	Return the length of the curve. More...

Public Member Functions inherited from blockEdge
	TypeName ("blockEdge")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, blockEdge, Istream,(const dictionary &dict, const label index, const searchableSurfaces &geometry, const pointField &points, Istream &is),(dict, index, geometry, points, is))

	blockEdge (const pointField &points, const label start, const label end)
	Construct from components. More...

	blockEdge (const dictionary &dict, const label index, const pointField &, Istream &)
	Construct from Istream setting pointsList. More...

virtual autoPtr< blockEdge >	clone () const
	Clone function. More...

virtual	~blockEdge ()=default
	Destructor. More...

label	start () const
	Return label of start point. More...

label	end () const
	Return label of end point. More...

int	compare (const blockEdge &) const
	Compare the given start and end points with this curve. More...

int	compare (const edge &) const
	Compare the given start and end points with this curve. More...

int	compare (const label start, const label end) const
	Compare the given start and end points with this curve. More...

virtual tmp< pointField >	position (const scalarList &) const
	Return the point positions corresponding to the curve parameters. More...

void	write (Ostream &, const dictionary &) const
	Write edge with variable backsubstitution. More...

Additional Inherited Members
Static Public Member Functions inherited from blockEdge
static autoPtr< blockEdge >	New (const dictionary &dict, const label index, const searchableSurfaces &geometry, const pointField &, Istream &)
	New function which constructs and returns pointer to a blockEdge. More...

Static Protected Member Functions inherited from blockEdge
static pointField	appendEndPoints (const pointField &, const label start, const label end, const pointField &otherKnots)
	Return a complete point field by appending the start/end points. More...

Protected Attributes inherited from blockEdge
const pointField &	points_

const label	start_

const label	end_

Detailed Description

Nth order bezier curve edge. Only interior control points should be specified. The outer points are taken as start and end. Note that the calculation of each point takes 0(N^2) time, where N is the number of control points. This edge type shouldn't therefore be used for finely discretised line data; polyLine or similar will be more appropriate for such cases. Beziers are useful for simple curved shapes such as aerofoils, or when you want an edge to match a specific direction at one, or both, or its endpoints. In comparison with BSplines, the grading of bezier edges should be smoother, and the code is much simpler. The algorithmic order is worse, however, and the edge will not follow the control points as closely.

Source files

Definition at line 61 of file bezier.H.

Constructor & Destructor Documentation

◆ bezier() [1/2]

bezier	(	const pointField &	points,
		const label	start,
		const label	end,
		const pointField &	control
	)

Construct from components.

Definition at line 47 of file bezier.C.

◆ bezier() [2/2]

bezier	(	const dictionary &	dict,
		const label	index,
		const searchableSurfaces &	geometry,
		const pointField &	points,
		Istream &	is
	)

Construct from Istream.

Definition at line 60 of file bezier.C.

◆ ~bezier()

virtual ~bezier ( )

virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "bezier" )

◆ position()

Foam::point position ( const scalar lambda ) const

virtual

Return the point position corresponding to the curve parameter.

0 <= lambda <= 1

Implements blockEdge.

Definition at line 75 of file bezier.C.

References forAll, and lambda().

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◆ length()

Foam::scalar length ( ) const

virtual

Return the length of the curve.

Implements blockEdge.

Definition at line 94 of file bezier.C.

References NotImplemented.

The documentation for this class was generated from the following files:

src/mesh/blockMesh/blockEdges/bezier/bezier.H
src/mesh/blockMesh/blockEdges/bezier/bezier.C

Public Member Functions

Additional Inherited Members