A NURBS 3D curve. More...

Inheritance diagram for NURBS3DCurve:

Collaboration diagram for NURBS3DCurve:

Public Member Functions
	NURBS3DCurve (const NURBSbasis &basis, const List< vector > &CPs, const List< scalar > &weights, const scalarField &u, const label nPts, const word name="NURBS3DCurve")

	NURBS3DCurve (const NURBSbasis &basis, const List< vector > &CPs, const List< scalar > &weights, const label nPts, const word name="NURBS3DCurve")
	Construct from control points, weights and basis order. More...

	NURBS3DCurve (const NURBSbasis &basis, const List< vector > &CPs, const label nPts, const word name="NURBS3DCurve")
	Construct from control points and basis order. More...

	NURBS3DCurve (const NURBS3DCurve &)
	Construct as copy. More...

	~NURBS3DCurve ()=default
	Destructor. More...

void	setNrm3DOrientation (const vector &givenNrm, const vector &givenTan)

void	setNrm2DOrientation (const vector &givenNrm, const scalar zVal)

void	flipNrmOrientation ()
	Flip the orientation of the nrm. More...

void	setCPs (const List< vector > &CPs)
	Set CPs. More...

void	setWeights (const List< scalar > &weights)
	Set weights. More...

void	setName (const word &name)
	Set name. More...

void	buildCurve ()
	Build curve. More...

void	invert ()
	Invert CPs order and re-build curve. More...

void	insertKnot (const scalarField &oldKnots, const scalar uBar, const label kInsert)
	Insert a knot by re-computing the control points. More...

void	makeEquidistant (const label lenAcc=25, const label maxIter=10, const label spacingCorrInterval=-1, const scalar tolerance=1.e-5)
	Make curve points equidistant in cartesian space. More...

vector	curvePoint (const scalar u) const
	Curve point cartesian coordinates at ui. More...

scalar	findClosestCurvePoint (const vector &targetPoint, const label maxIter=1000, const scalar tolerance=1.e-13)

scalar	findClosestCurvePoint (const vector &targetPoint, const scalar initGuess, const label maxIter=1000, const scalar tolerance=1.e-13)

const vector	nrm3D (const vector &refTan, const scalar u) const
	Find the normal to the curve, with the option of forcing a z-plane. More...

const vector	nrm2D (const scalar zVal, const scalar u) const

scalarList	genEquidistant (const label nPts=100, const label lenAcc=25, const label maxIter=10, const label spacingCorrInterval=-1, const scalar tolerance=1.e-5)

bool	checkRange (const scalar u, const label CPI, const label degree) const
	Check if given parametric coordinate u and CP are linked. More...

bool	checkRange (const scalar u, const label CPI) const

scalar	length (const label uIStart, const label uIEnd) const

scalar	length (const scalar uStart, const scalar uEnd, const label nPts) const

scalar	length () const
	Calculate length for the entire curve length. More...

vector	curveDerivativeU (const scalar u) const
	Curve derivative wrt u at point ui. More...

vector	curveDerivativeUU (const scalar u) const
	Curve second derivative wrt u at point ui. More...

scalar	curveDerivativeCP (const scalar u, const label CPI)

vector	curveDerivativeWeight (const scalar u, const label CPI)
	Curve derivative wrt CPII at point u. More...

scalar	lengthDerivativeU (const scalar uStart, const scalar uEnd, const label nPts)

const NURBSbasis &	getBasisFunction () const
	Get basis function. More...

const List< vector > &	getCPs () const
	Get CPs. More...

const List< scalar > &	getWeights () const
	Get weights. More...

const List< scalar > &	getParametricCoordinates () const
	Get parametric coordinates. More...

const word &	getName () const
	Get name. More...

label	nrmOrientation () const
	Return the nrm sgn relation to the u=0 nrm. More...

const vector &	givenInitNrm () const
	Return the initial normal given to compare to the Curve's normals. More...

void	write ()
	Write curve to file. More...

void	write (const word fileName)

void	write (const fileName dirName, const fileName fileName)

void	writeWParses ()

void	writeWParses (const word fileName)

void	writeWParses (const fileName dirName, const fileName fileName)

Public Member Functions inherited from Field< vector >
constexpr	Field () noexcept
	Default construct. More...

	Field (const label len)
	Construct given size. More...

	Field (const label len, const vector &val)
	Construct given size and initial value. More...

	Field (const label len, const Foam::zero)
	Construct given size and initial values of zero. More...

	Field (const Foam::one, const vector &val)
	Construct with length=1, copying the value as the only content. More...

	Field (const Foam::one, vector &&val)
	Construct with length=1, moving the value as the only content. More...

	Field (const Foam::one, const Foam::zero)
	Construct with length=1, initializing content to zero. More...

	Field (const Field< vector > &fld)
	Copy construct. More...

	Field (const UList< vector > &list)
	Copy construct from UList<Type> More...

	Field (const IndirectListBase< vector, Addr > &list)
	Copy construct from IndirectList. More...

	Field (Field< vector > &&fld)
	Move construct from Field. More...

	Field (List< vector > &&list)
	Move construct from List. More...

	Field (DynamicList< vector, SizeMin > &&list)
	Move construct from DynamicList. More...

	Field (const UList< vector > &mapF, const labelUList &mapAddressing)
	Construct by 1 to 1 mapping from the given field. More...

	Field (const tmp< Field< vector >> &tmapF, const labelUList &mapAddressing)
	Construct by 1 to 1 mapping from the given tmp field. More...

	Field (const UList< vector > &mapF, const labelListList &mapAddressing, const scalarListList &weights)
	Construct by interpolative mapping from the given field. More...

	Field (const tmp< Field< vector >> &tmapF, const labelListList &mapAddressing, const scalarListList &weights)
	Construct by interpolative mapping from the given tmp field. More...

	Field (const UList< vector > &mapF, const FieldMapper &map, const bool applyFlip=true)
	Construct by mapping from the given field. More...

	Field (const UList< vector > &mapF, const FieldMapper &map, const vector &defaultValue, const bool applyFlip=true)
	Construct by mapping from the given field. More...

	Field (const UList< vector > &mapF, const FieldMapper &map, const UList< vector > &defaultValues, const bool applyFlip=true)
	Construct by mapping from the given field. More...

	Field (const tmp< Field< vector >> &tmapF, const FieldMapper &map, const bool applyFlip=true)
	Construct by mapping from the given tmp field. More...

	Field (const tmp< Field< vector >> &tmapF, const FieldMapper &map, const vector &defaultValue, const bool applyFlip=true)

	Field (const tmp< Field< vector >> &tmapF, const FieldMapper &map, const UList< vector > &defaultValues, const bool applyFlip=true)

	Field (Field< vector > &fld, bool reuse)
	Copy construct or re-use as specified. More...

	Field (const tmp< Field< vector >> &tfld)
	Copy or move construct from tmp. More...

	Field (Istream &is)
	Construct from Istream. More...

	Field (const word &keyword, const dictionary &dict, const label len)
	Construct from a dictionary entry. More...

tmp< Field< vector > >	clone () const
	Clone. More...

void	map (const UList< vector > &mapF, const labelUList &mapAddressing)
	1 to 1 map from the given field More...

void	map (const tmp< Field< vector >> &tmapF, const labelUList &mapAddressing)
	1 to 1 map from the given tmp field More...

void	map (const UList< vector > &mapF, const labelListList &mapAddressing, const scalarListList &weights)
	Interpolative map from the given field. More...

void	map (const tmp< Field< vector >> &tmapF, const labelListList &mapAddressing, const scalarListList &weights)
	Interpolative map from the given tmp field. More...

void	map (const UList< vector > &mapF, const FieldMapper &map, const bool applyFlip=true)
	Map from the given field. More...

void	map (const tmp< Field< vector >> &tmapF, const FieldMapper &map, const bool applyFlip=true)
	Map from the given tmp field. More...

void	autoMap (const FieldMapper &map, const bool applyFlip=true)
	Map from self. More...

void	rmap (const UList< vector > &mapF, const labelUList &mapAddressing)
	1 to 1 reverse-map from the given field More...

void	rmap (const tmp< Field< vector >> &tmapF, const labelUList &mapAddressing)
	1 to 1 reverse-map from the given tmp field More...

void	rmap (const UList< vector > &mapF, const labelUList &mapAddressing, const UList< scalar > &weights)
	Interpolative reverse map from the given field. More...

void	rmap (const tmp< Field< vector >> &tmapF, const labelUList &mapAddressing, const UList< scalar > &weights)
	Interpolative reverse map from the given tmp field. More...

void	negate ()
	Negate this field (negative). More...

tmp< Field< cmptType > >	component (const direction) const
	Return a component field of the field. More...

void	replace (const direction, const UList< cmptType > &)
	Replace a component field of the field. More...

void	replace (const direction, const tmp< Field< cmptType >> &)
	Replace a component field of the field. More...

void	replace (const direction, const cmptType &)
	Replace a component field of the field. More...

VSForm	block (const label start) const

tmp< Field< vector > >	T () const
	Return the field transpose (only defined for second rank tensors) More...

void	writeEntry (const word &keyword, Ostream &os) const
	Write the field as a dictionary entry. More...

SubField< vector >	slice (const label pos, label len=-1)
	Return SubField slice (non-const access) - no range checking. More...

const SubField< vector >	slice (const label pos, label len=-1) const
	Return SubField slice (const access) - no range checking. More...

SubField< vector >	slice (const labelRange &range)
	Return SubField slice (non-const access) - with range checking. More...

const SubField< vector >	slice (const labelRange &range) const
	Return SubField slice (const access) - with range checking. More...

void	operator= (const Field< vector > &)
	Copy assignment. More...

void	operator= (const tmp< Field< vector >> &)

void	operator= (const UList< vector > &rhs)

void	operator= (const SubField< vector > &rhs)

void	operator= (const IndirectListBase< vector, Addr > &rhs)
	Copy assign from IndirectList. More...

void	operator= (Field< vector > &&rhs)
	Move assignment. More...

void	operator= (List< vector > &&rhs)

void	operator= (DynamicList< vector, SizeMin > &&rhs)

void	operator= (const vector &val)
	Value assignment. More...

void	operator= (const Foam::zero)

void	operator= (const VectorSpace< Form, Cmpt, nCmpt > &)

void	operator= (const tmp< Field > &rhs)

void	operator+= (const UList< vector > &)

void	operator+= (const tmp< Field< vector >> &)

void	operator+= (const vector &)

void	operator-= (const UList< vector > &)

void	operator-= (const tmp< Field< vector >> &)

void	operator-= (const vector &)

void	operator*= (const UList< scalar > &)

void	operator*= (const tmp< Field< scalar >> &)

void	operator*= (const scalar &)

void	operator/= (const UList< scalar > &)

void	operator/= (const tmp< Field< scalar >> &)

void	operator/= (const scalar &)

Additional Inherited Members
Public Types inherited from Field< vector >
typedef pTraits< vector >::cmptType	cmptType
	Component type. More...

typedef SubField< vector >	subField
	Declare type of subField. More...

Static Public Member Functions inherited from Field< vector >
static const Field< vector > &	null ()
	Return nullObject reference Field. More...

static autoPtr< Field< vector > >	New (Istream &is)
	Return a pointer to a new Field created on freestore. More...

static tmp< Field< vector > >	NewCalculatedType (const Field< Type2 > &f)

Detailed Description

A NURBS 3D curve.

Source files

Definition at line 55 of file NURBS3DCurve.H.

Constructor & Destructor Documentation

◆ NURBS3DCurve() [1/4]

NURBS3DCurve	(	const NURBSbasis &	basis,
		const List< vector > &	CPs,
		const List< scalar > &	weights,
		const scalarField &	u,
		const label	nPts,
		const word	name = `"NURBS3DCurve"`
	)

Construct from control points, weights and basis order and parametric coordinates

Definition at line 210 of file NURBS3DCurve.C.

◆ NURBS3DCurve() [2/4]

NURBS3DCurve	(	const NURBSbasis &	basis,
		const List< vector > &	CPs,
		const List< scalar > &	weights,
		const label	nPts,
		const word	name = `"NURBS3DCurve"`
	)

Construct from control points, weights and basis order.

Uniform coordinate distribution is implied

Definition at line 236 of file NURBS3DCurve.C.

◆ NURBS3DCurve() [3/4]

NURBS3DCurve	(	const NURBSbasis &	basis,
		const List< vector > &	CPs,
		const label	nPts,
		const word	name = `"NURBS3DCurve"`
	)

Construct from control points and basis order.

Uniform coordinate distribution and unit weights are implied

Definition at line 262 of file NURBS3DCurve.C.

◆ NURBS3DCurve() [4/4]

NURBS3DCurve ( const NURBS3DCurve & )

Construct as copy.

◆ ~NURBS3DCurve()

~NURBS3DCurve ( )

default

Destructor.

Member Function Documentation

◆ setNrm3DOrientation()

void setNrm3DOrientation	(	const vector &	givenNrm,
		const vector &	givenTan
	)

Take a given normal and use to determine if NURBS normals should be reversed. Computation taken from u = 0.

Definition at line 291 of file NURBS3DCurve.C.

References Foam::endl(), Foam::Info, Foam::tan(), and Foam::Zero.

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◆ setNrm2DOrientation()

void setNrm2DOrientation	(	const vector &	givenNrm,
		const scalar	zVal
	)

Definition at line 317 of file NURBS3DCurve.C.

References Foam::endl(), Foam::Info, Foam::tan(), Vector< Cmpt >::x(), Vector< Cmpt >::y(), Vector< Cmpt >::z(), and Foam::Zero.

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◆ flipNrmOrientation()

void flipNrmOrientation ( )

Flip the orientation of the nrm.

Definition at line 346 of file NURBS3DCurve.C.

◆ setCPs()

void setCPs ( const List< vector > & CPs )

Set CPs.

Definition at line 359 of file NURBS3DCurve.C.

◆ setWeights()

void setWeights ( const List< scalar > & weights )

Set weights.

Definition at line 365 of file NURBS3DCurve.C.

◆ setName()

void setName ( const word & name )

Set name.

Definition at line 371 of file NURBS3DCurve.C.

References Foam::name().

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◆ buildCurve()

void buildCurve ( )

Build curve.

Definition at line 377 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, VectorSpace< Vector< scalar >, scalar, 3 >::zero, and Foam::Zero.

Referenced by NURBS3DCurve::invert().

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◆ invert()

void invert ( )

Invert CPs order and re-build curve.

Definition at line 408 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve(), Foam::endl(), Foam::Info, and Foam::Zero.

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◆ insertKnot()

void insertKnot	(	const scalarField &	oldKnots,
		const scalar	uBar,
		const label	kInsert
	)

Insert a knot by re-computing the control points.

The basis' insertKnot function must have beem called first to correctly provide the required info.

Definition at line 646 of file NURBS3DCurve.C.

References Foam::Zero.

◆ makeEquidistant()

void makeEquidistant	(	const label	lenAcc = `25`,
		const label	maxIter = `10`,
		const label	spacingCorrInterval = `-1`,
		const scalar	tolerance = `1.e-5`
	)

Make curve points equidistant in cartesian space.

Definition at line 430 of file NURBS3DCurve.C.

◆ curvePoint()

vector curvePoint ( const scalar u ) const

Curve point cartesian coordinates at ui.

Definition at line 457 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

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◆ findClosestCurvePoint() [1/2]

scalar findClosestCurvePoint	(	const vector &	targetPoint,
		const label	maxIter = `1000`,
		const scalar	tolerance = `1.e-13`
	)

Find curve point which is closest to given point using Newton-Raphson. Returns the param coordinate.

Definition at line 484 of file NURBS3DCurve.C.

References Foam::bound(), Foam::endl(), forAll, Foam::mag(), and WarningInFunction.

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◆ findClosestCurvePoint() [2/2]

scalar findClosestCurvePoint	(	const vector &	targetPoint,
		const scalar	initGuess,
		const label	maxIter = `1000`,
		const scalar	tolerance = `1.e-13`
	)

Find curve point which is closest to given point using Newton-Raphson. Returns the param coordinate.

Definition at line 554 of file NURBS3DCurve.C.

References Foam::bound(), Foam::endl(), Foam::mag(), and WarningInFunction.

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◆ nrm3D()

const vector nrm3D	(	const vector &	refTan,
		const scalar	u
	)		const

Find the normal to the curve, with the option of forcing a z-plane.

Definition at line 612 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), Vector< Cmpt >::normalise(), and Foam::Zero.

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◆ nrm2D()

const vector nrm2D	(	const scalar	zVal,
		const scalar	u
	)		const

Definition at line 631 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), Foam::mag(), Foam::tan(), Vector< Cmpt >::x(), Vector< Cmpt >::y(), Vector< Cmpt >::z(), and Foam::Zero.

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◆ genEquidistant()

scalarList genEquidistant	(	const label	nPts = `100`,
		const label	lenAcc = `25`,
		const label	maxIter = `10`,
		const label	spacingCorrInterval = `-1`,
		const scalar	tolerance = `1.e-5`
	)

Generate points on the curve which are evenly spaced in cartesian coordinate distances.

Definition at line 688 of file NURBS3DCurve.C.

References U, and Foam::Zero.

◆ checkRange() [1/2]

bool checkRange	(	const scalar	u,
		const label	CPI,
		const label	degree
	)		const

Check if given parametric coordinate u and CP are linked.

Definition at line 719 of file NURBS3DCurve.C.

◆ checkRange() [2/2]

bool checkRange	(	const scalar	u,
		const label	CPI
	)		const

Definition at line 729 of file NURBS3DCurve.C.

References NURBSbasis::checkRange(), and NURBSbasis::degree().

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◆ length() [1/3]

scalar length	(	const label	uIStart,
		const label	uIEnd
	)		const

Calculate Length from starting to ending indices via computational evaluation using trapezoid rule.

Definition at line 736 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), forAll, NURBS3DCurve::length(), Foam::mag(), and Foam::Zero.

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◆ length() [2/3]

scalar length	(	const scalar	uStart,
		const scalar	uEnd,
		const label	nPts
	)		const

Calculate length from starting to ending parametric coordinates via computational evaluation using trapezoid rule.

Definition at line 762 of file NURBS3DCurve.C.

References forAll, Foam::mag(), and Foam::Zero.

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◆ length() [3/3]

scalar length ( ) const

Calculate length for the entire curve length.

Definition at line 792 of file NURBS3DCurve.C.

Referenced by NURBS3DCurve::length().

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◆ curveDerivativeU()

vector curveDerivativeU ( const scalar u ) const

Curve derivative wrt u at point ui.

Definition at line 800 of file NURBS3DCurve.C.

References NURBSbasis::basisDerivativeU(), NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

Referenced by NURBS3DCurve::length(), NURBS3DCurve::nrm2D(), and NURBS3DCurve::nrm3D().

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◆ curveDerivativeUU()

vector curveDerivativeUU ( const scalar u ) const

Curve second derivative wrt u at point ui.

Definition at line 825 of file NURBS3DCurve.C.

References NURBSbasis::basisDerivativeU(), NURBSbasis::basisDerivativeUU(), NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

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◆ curveDerivativeCP()

scalar curveDerivativeCP	(	const scalar	u,
		const label	CPI
	)

Curve derivative wrt b at point ui: scalar since dx/dX = dy/dY = dz/dZ.

Definition at line 864 of file NURBS3DCurve.C.

References forAll, and Foam::Zero.

◆ curveDerivativeWeight()

vector curveDerivativeWeight	(	const scalar	u,
		const label	CPI
	)

Curve derivative wrt CPII at point u.

Definition at line 886 of file NURBS3DCurve.C.

References forAll, and Foam::Zero.

◆ lengthDerivativeU()

scalar lengthDerivativeU	(	const scalar	uStart,
		const scalar	uEnd,
		const label	nPts
	)

Calculate length from starting to ending indices via computational evaluation using trapezoid rule

Definition at line 912 of file NURBS3DCurve.C.

References forAll, Foam::mag(), and Foam::Zero.

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◆ getBasisFunction()

const NURBSbasis& getBasisFunction ( ) const

inline

Get basis function.

Definition at line 325 of file NURBS3DCurve.H.

◆ getCPs()

const List<vector>& getCPs ( ) const

inline

Get CPs.

Definition at line 331 of file NURBS3DCurve.H.

◆ getWeights()

const List<scalar>& getWeights ( ) const

inline

Get weights.

Definition at line 337 of file NURBS3DCurve.H.

◆ getParametricCoordinates()

const List<scalar>& getParametricCoordinates ( ) const

inline

Get parametric coordinates.

Definition at line 343 of file NURBS3DCurve.H.

◆ getName()

const word& getName ( ) const

inline

Get name.

Definition at line 349 of file NURBS3DCurve.H.

◆ nrmOrientation()

label nrmOrientation ( ) const

inline

Return the nrm sgn relation to the u=0 nrm.

Definition at line 355 of file NURBS3DCurve.H.

◆ givenInitNrm()

const vector& givenInitNrm ( ) const

inline

Return the initial normal given to compare to the Curve's normals.

Definition at line 361 of file NURBS3DCurve.H.

◆ write() [1/3]

void write ( )

Write curve to file.

Definition at line 954 of file NURBS3DCurve.C.

◆ write() [2/3]

void write ( const word fileName )

Definition at line 961 of file NURBS3DCurve.C.

References Foam::endl(), field(), forAll, and UPstream::master().

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◆ write() [3/3]

void write	(	const fileName	dirName,
		const fileName	fileName
	)

Definition at line 1010 of file NURBS3DCurve.C.

References Foam::endl(), field(), forAll, and UPstream::master().

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◆ writeWParses() [1/3]

void writeWParses ( )

Definition at line 1059 of file NURBS3DCurve.C.

◆ writeWParses() [2/3]

void writeWParses ( const word fileName )

Definition at line 1066 of file NURBS3DCurve.C.

References Foam::endl(), field(), forAll, and UPstream::master().

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◆ writeWParses() [3/3]

void writeWParses	(	const fileName	dirName,
		const fileName	fileName
	)

Definition at line 1117 of file NURBS3DCurve.C.

References Foam::endl(), field(), forAll, and UPstream::master().

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

src/optimisation/adjointOptimisation/adjoint/parameterization/NURBS/NURBS3DCurve/NURBS3DCurve.H
src/optimisation/adjointOptimisation/adjoint/parameterization/NURBS/NURBS3DCurve/NURBS3DCurve.C

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ NURBS3DCurve() [1/4]

◆ NURBS3DCurve() [2/4]

◆ NURBS3DCurve() [3/4]

◆ NURBS3DCurve() [4/4]

◆ ~NURBS3DCurve()

Member Function Documentation

◆ setNrm3DOrientation()

◆ setNrm2DOrientation()

◆ flipNrmOrientation()

◆ setCPs()

◆ setWeights()

◆ setName()

◆ buildCurve()

◆ invert()

◆ insertKnot()

◆ makeEquidistant()

◆ curvePoint()

◆ findClosestCurvePoint() [1/2]

◆ findClosestCurvePoint() [2/2]

◆ nrm3D()

◆ nrm2D()

◆ genEquidistant()

◆ checkRange() [1/2]

◆ checkRange() [2/2]

◆ length() [1/3]

◆ length() [2/3]

◆ length() [3/3]

◆ curveDerivativeU()

◆ curveDerivativeUU()

◆ curveDerivativeCP()

◆ curveDerivativeWeight()

◆ lengthDerivativeU()

◆ getBasisFunction()

◆ getCPs()

◆ getWeights()

◆ getParametricCoordinates()

◆ getName()

◆ nrmOrientation()

◆ givenInitNrm()

◆ write() [1/3]

◆ write() [2/3]

◆ write() [3/3]

◆ writeWParses() [1/3]

◆ writeWParses() [2/3]

◆ writeWParses() [3/3]