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 edge &fromTo, const pointField &control)
	Construct from components. More...

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

	bezier (const dictionary &dict, const label index, const searchableSurfaces &, const pointField &points, Istream &is)
	Construct from Istream and point field. 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 edge &fromTo)
	Construct from components. More...

	blockEdge (const dictionary &dict, const label index, const pointField &points, Istream &is)
	Construct from Istream and point field. More...

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

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

bool	valid () const noexcept
	True if first/last indices are unique and non-negative. More...

label	start () const noexcept
	Index of start (first) point. More...

label	end () const noexcept
	Index of end (last) point. More...

const point &	firstPoint () const
	The location of the first point. More...

const point &	lastPoint () const
	The location of the last point. More...

int	compare (const blockEdge &e) const
	Compare the given start/end points with this block edge. More...

int	compare (const edge &e) const
	Compare the given start/end points with this block edge. More...

int	compare (const label start, const label end) const
	Compare the given start/end points with this block edge. More...

point	linearPosition (const scalar lambda) const
	The point position in the straight line. More...

virtual point	position (const scalar lambda) const =0
	The point position corresponding to the curve parameter. More...

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

virtual scalar	length () const =0
	The length of the curve. More...

void	write (Ostream &os, const dictionary &dict) const
	Write edge with variable back-substitution. 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 &points, Istream &is)
	New function which constructs and returns pointer to a blockEdge. More...

Protected Member Functions inherited from blockEdge
	blockEdge (const pointField &points, const label from, const label to)
	Construct from components. More...

Static Protected Member Functions inherited from blockEdge
static pointField	appendEndPoints (const pointField &p, const label from, const label to, const pointField &intermediate)

Protected Attributes inherited from blockEdge
const pointField &	points_
	The referenced point field. More...

const label	start_
	Index of the first point. More...

const label	end_
	Index of the last point. More...

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() [1/3]

bezier	(	const pointField &	points,
		const edge &	fromTo,
		const pointField &	control
	)

Construct from components.

Parameters

points	Referenced point field
fromTo	Start/end in point field
control	The control points

Definition at line 47 of file bezier.C.

◆ bezier() [2/3]

bezier	(	const pointField &	points,
		const label	from,
		const label	to,
		const pointField &	control
	)

Construct from components.

Parameters

points	Referenced point field
from	Start point in point field
to	End point in point field
control	The control points

Definition at line 59 of file bezier.C.

◆ bezier() [3/3]

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

Construct from Istream and point field.

Parameters

points Referenced point field

Definition at line 71 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 90 of file bezier.C.

References forAll, lambda(), and UList< T >::size().

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◆ length()

Foam::scalar length ( ) const

virtual

Return the length of the curve.

\not NotImplemented

Implements blockEdge.

Definition at line 109 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

Detailed Description

Constructor & Destructor Documentation

◆ bezier() [1/3]

◆ bezier() [2/3]

◆ bezier() [3/3]

◆ ~bezier()

Member Function Documentation

◆ TypeName()

◆ position()

◆ length()