Represents a Bezier curve defined by an array of control points. More...

#include </home/docs/checkouts/readthedocs.org/user_builds/axom/checkouts/develop/src/axom/primal/geometry/BezierCurve.hpp>

Public Types
using	NumericType = T

using	PointType = Point< T, NDIMS >

using	VectorType = Vector< T, NDIMS >

using	SegmentType = Segment< T, NDIMS >

using	WeightsVec = axom::Array< T >

using	CoordsVec = axom::Array< PointType >

using	BoundingBoxType = BoundingBox< T, NDIMS >

using	OrientedBoundingBoxType = OrientedBoundingBox< T, NDIMS >

Public Member Functions
	AXOM_STATIC_ASSERT_MSG ((NDIMS==1)\|\|(NDIMS==2)\|\|(NDIMS==3), "A Bezier Curve object may be defined in 1-, 2-, or 3-D")

	AXOM_STATIC_ASSERT_MSG (std::is_arithmetic< T >::value, "A Bezier Curve must be defined using an arithmetic type")

std::ostream &	print (std::ostream &os) const
	Simple formatted print of a Bezier Curve instance. More...

Constructors for polynomial and rational Bezier curves
The constructors allow for flexible initialization of BezierCurve objects from: 1D arrays of control points and weights, C-style arrays of control points and weights, Specified polynomial orders, Rational or polynomial (nonrational) curves, depending on the presence of weights. The curve is parametrized from t=0 to t=1. Rational curves are identified by a non-empty weights array, and nonrational curves by an empty weights array. All weights must be greater than 0 in a rational curve.
	BezierCurve (axom::ArrayView< const PointType > controlPoints, axom::ArrayView< const T > weights, int ord)
	Constructor for a Bezier Curve from ArrayViews of control points and weights. More...

	BezierCurve (axom::ArrayView< PointType > pts, axom::ArrayView< T > weights, int ord)
	Constructor for a Bezier Curve from ArrayViews of (non-const) control points and weights. More...

	BezierCurve (int ord=-1)
	Constructor for a polynomial Bezier Curve that reserves space for the control points. More...

	BezierCurve (const PointType *pts, int ord)
	Constructor for a polynomial Bezier Curve from an array of coordinates. More...

	BezierCurve (const PointType pts, const T weights, int ord)
	Constructor for a rational Bezier Curve from an array of coordinates and weights. More...

	BezierCurve (const axom::Array< PointType > &pts, int ord)
	Constructor for a Bezier Curve from an array of coordinates. More...

	BezierCurve (const axom::Array< PointType > &pts, const axom::Array< T > &weights, int ord)
	Constructor for a rational Bezier Curve from arrays of coordinates and weights. More...

Query/modify curve properties (order, rationality, ...)
void	setOrder (int ord)
	Sets the order of the Bezier Curve. More...

int	getOrder () const
	Returns the order of the Bezier Curve. More...

int	getNumControlPoints () const
	Returns the number of control points of the Bezier Curve. More...

void	clear ()
	Clears the list of control points, make nonrational. More...

bool	isRational () const
	Use array size as flag for rationality. More...

void	makeRational ()
	Make trivially rational. If already rational, do nothing. More...

void	makeNonrational ()
	Make nonrational by shrinking array of weights. More...

Query/modify curve's geometry (control points, weights, bounding box, ...)
PointType &	operator[] (int idx)
	Retrieves the control point at index idx. More...

const PointType &	operator[] (int idx) const
	Retrieves the control point at index idx. More...

const PointType &	getInitPoint () const

const PointType &	getEndPoint () const

CoordsVec &	getControlPoints ()
	Returns a reference to the Bezier curve's control points. More...

const CoordsVec &	getControlPoints () const
	Returns a const reference to the Bezier curve's control points. More...

const T &	getWeight (int idx) const
	Get a specific weight. More...

void	setWeight (int idx, T weight)
	Set the weight at a specific index. More...

WeightsVec &	getWeights ()
	Returns a reference of the Bezier curve's weights. More...

const WeightsVec &	getWeights () const
	Returns a const reference of the Bezier curve's weights. More...

BoundingBoxType	boundingBox () const
	Returns an axis-aligned bounding box containing the Bezier curve. More...

OrientedBoundingBoxType	orientedBoundingBox () const
	Returns an oriented bounding box containing the Bezier curve. More...

bool	isLinear (double tol=1e-8, bool useStrictLinear=false) const
	Predicate to check if the Bezier curve is approximately linear. More...

Query/modify curve parametrization
void	reverseOrientation ()
	Reverses the order of the Bezier curve's control points and weights. More...

Functions to evaluate curve and its derivatives and normals
PointType	evaluate (T t) const
	Evaluates a Bezier curve at a particular parameter value t. More...

void	evaluateFirstDerivative (T t, PointType &eval, VectorType &Dt) const
	Computes the 0th and 1st derivative of a Bezier curve. More...

VectorType	dt (T t) const
	Computes the tangent of a Bezier curve at a particular parameter value t. More...

void	evaluateSecondDerivative (T t, PointType &eval, VectorType &Dt, VectorType &DtDt) const
	Computes the 0th, 1st, and 2nd derivatives of a Bezier curve. More...

VectorType	dtdt (T t) const
	Computes the second derivative of a Bezier curve at a particular parameter value t. More...

Functions dealing with curve subdivision
void	split (T t, BezierCurve &c1, BezierCurve &c2) const
	Splits a Bezier curve into two Bezier curves at a given parameter value. More...

Friends
bool	operator== (const BezierCurve< T, NDIMS > &lhs, const BezierCurve< T, NDIMS > &rhs)
	Checks equality of two Bezier Curve. More...

bool	operator!= (const BezierCurve< T, NDIMS > &lhs, const BezierCurve< T, NDIMS > &rhs)

Detailed Description

template<typename T, int NDIMS>
class axom::primal::BezierCurve< T, NDIMS >

Represents a Bezier curve defined by an array of control points.

Template Parameters

T	the coordinate type, e.g., double, float, etc.
NDIMS	the number of dimensions

The order of a Bezier curve with N+1 control points is N. The curve is approximated by the control points, parametrized from t=0 to t=1.

Contains an array of positive weights to represent a rational Bezier curve. Nonrational Bezier curves are identified by an empty weights array. Algorithms for Rational Bezier curves derived from Gerald Farin, "Algorithms for rational Bezier curves" Computer-Aided Design, Volume 15, Number 2, 1983,

Member Typedef Documentation

◆ NumericType

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::NumericType = T

◆ PointType

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::PointType = Point<T, NDIMS>

◆ VectorType

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::VectorType = Vector<T, NDIMS>

◆ SegmentType

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::SegmentType = Segment<T, NDIMS>

◆ WeightsVec

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::WeightsVec = axom::Array<T>

◆ CoordsVec

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::CoordsVec = axom::Array<PointType>

◆ BoundingBoxType

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::BoundingBoxType = BoundingBox<T, NDIMS>

◆ OrientedBoundingBoxType

template<typename T , int NDIMS>

using axom::primal::BezierCurve< T, NDIMS >::OrientedBoundingBoxType = OrientedBoundingBox<T, NDIMS>

Constructor & Destructor Documentation

◆ BezierCurve() [1/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve	(	axom::ArrayView< const PointType >	controlPoints,
		axom::ArrayView< const T >	weights,
		int	ord
	)

inline

Constructor for a Bezier Curve from ArrayViews of control points and weights.

Parameters

[in]	controlPoints	ArrayView with zero or ord+1 control points
[in]	weights	ArrayView with zero or ord+1 positive weights
[in]	ord	The Curve's polynomial order

If controlPoints is empty, we still allocate space for ord+1 control points

Precondition: order ord is greater than or equal to -1; controlPoints is either empty or has size ord+1; weights is either empty or has size ord+1; controlPoints cannot be empty if weights are supplied

References axom::ArrayView< T, DIM, SPACE >::data(), axom::ArrayView< T, DIM, SPACE >::empty(), axom::primal::BezierCurve< T, NDIMS >::isRational(), axom::utilities::max(), axom::Array< T, DIM, SPACE, StoragePolicy >::resize(), axom::ArrayView< T, DIM, SPACE >::size(), and SLIC_ASSERT.

◆ BezierCurve() [2/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve	(	axom::ArrayView< PointType >	pts,
		axom::ArrayView< T >	weights,
		int	ord
	)

inline

Constructor for a Bezier Curve from ArrayViews of (non-const) control points and weights.

◆ BezierCurve() [3/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve ( int ord = -1 )

inlineexplicit

Constructor for a polynomial Bezier Curve that reserves space for the control points.

Parameters

[in] order the order of the resulting Bezier curve

Precondition: order is greater than or equal to -1.

◆ BezierCurve() [4/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve	(	const PointType *	pts,
		int	ord
	)

inline

Constructor for a polynomial Bezier Curve from an array of coordinates.

Parameters

[in]	pts	a vector with ord+1 control points
[in]	ord	The Curve's polynomial order

Precondition: order is greater than or equal to zero

◆ BezierCurve() [5/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve	(	const PointType *	pts,
		const T *	weights,
		int	ord
	)

inline

Constructor for a rational Bezier Curve from an array of coordinates and weights.

Parameters

[in]	pts	a vector with ord+1 control points
[in]	weights	a vector with ord+1 positive weights
[in]	ord	The Curve's polynomial order

Precondition: order is greater than or equal to zero

◆ BezierCurve() [6/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve	(	const axom::Array< PointType > &	pts,
		int	ord
	)

inline

Constructor for a Bezier Curve from an array of coordinates.

Parameters

[in]	pts	an array with ord+1 control points
[in]	ord	The Curve's polynomial order

Precondition: order is greater than or equal to zero

◆ BezierCurve() [7/7]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::BezierCurve	(	const axom::Array< PointType > &	pts,
		const axom::Array< T > &	weights,
		int	ord
	)

inline

Constructor for a rational Bezier Curve from arrays of coordinates and weights.

Parameters

[in]	pts	an array with ord+1 control points
[in]	weights	an array with ord+1 positive weights
[in]	ord	The Curve's polynomial order

Precondition: order is greater than or equal to zero

Member Function Documentation

◆ AXOM_STATIC_ASSERT_MSG() [1/2]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::AXOM_STATIC_ASSERT_MSG	(	(NDIMS==1)\|\|(NDIMS==2)\|\|(NDIMS==3)	,
		"A Bezier Curve object may be defined in 1-	,
		2-	,
		or 3-D"
	)

◆ AXOM_STATIC_ASSERT_MSG() [2/2]

template<typename T , int NDIMS>

axom::primal::BezierCurve< T, NDIMS >::AXOM_STATIC_ASSERT_MSG	(	std::is_arithmetic< T >::value	,
		"A Bezier Curve must be defined using an arithmetic type"
	)

◆ setOrder()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::setOrder ( int ord )

inline

Sets the order of the Bezier Curve.

References axom::primal::BezierCurve< T, NDIMS >::isRational(), axom::utilities::max(), axom::Array< T, DIM, SPACE, StoragePolicy >::resize(), and SLIC_ASSERT.

◆ getOrder()

template<typename T , int NDIMS>

int axom::primal::BezierCurve< T, NDIMS >::getOrder ( ) const

inline

Returns the order of the Bezier Curve.

References axom::Array< T, DIM, SPACE, StoragePolicy >::size().

◆ getNumControlPoints()

template<typename T , int NDIMS>

int axom::primal::BezierCurve< T, NDIMS >::getNumControlPoints ( ) const

inline

Returns the number of control points of the Bezier Curve.

References axom::Array< T, DIM, SPACE, StoragePolicy >::size().

◆ clear()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::clear ( )

inline

Clears the list of control points, make nonrational.

References axom::Array< T, DIM, SPACE, StoragePolicy >::clear(), and axom::primal::BezierCurve< T, NDIMS >::makeNonrational().

◆ isRational()

template<typename T , int NDIMS>

bool axom::primal::BezierCurve< T, NDIMS >::isRational ( ) const

inline

Use array size as flag for rationality.

References axom::Array< T, DIM, SPACE, StoragePolicy >::empty().

◆ makeRational()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::makeRational ( )

inline

Make trivially rational. If already rational, do nothing.

References axom::Array< T, DIM, SPACE, StoragePolicy >::fill(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::Array< T, DIM, SPACE, StoragePolicy >::resize().

◆ makeNonrational()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::makeNonrational ( )

inline

Make nonrational by shrinking array of weights.

References axom::Array< T, DIM, SPACE, StoragePolicy >::resize().

◆ operator[]() [1/2]

template<typename T , int NDIMS>

PointType& axom::primal::BezierCurve< T, NDIMS >::operator[] ( int idx )

inline

Retrieves the control point at index idx.

◆ operator[]() [2/2]

template<typename T , int NDIMS>

const PointType& axom::primal::BezierCurve< T, NDIMS >::operator[] ( int idx ) const

inline

Retrieves the control point at index idx.

◆ getInitPoint()

template<typename T , int NDIMS>

const PointType& axom::primal::BezierCurve< T, NDIMS >::getInitPoint ( ) const

inline

◆ getEndPoint()

template<typename T , int NDIMS>

const PointType& axom::primal::BezierCurve< T, NDIMS >::getEndPoint ( ) const

inline

References axom::Array< T, DIM, SPACE, StoragePolicy >::size().

◆ getControlPoints() [1/2]

template<typename T , int NDIMS>

CoordsVec& axom::primal::BezierCurve< T, NDIMS >::getControlPoints ( )

inline

Returns a reference to the Bezier curve's control points.

◆ getControlPoints() [2/2]

template<typename T , int NDIMS>

const CoordsVec& axom::primal::BezierCurve< T, NDIMS >::getControlPoints ( ) const

inline

Returns a const reference to the Bezier curve's control points.

◆ getWeight()

template<typename T , int NDIMS>

const T& axom::primal::BezierCurve< T, NDIMS >::getWeight ( int idx ) const

inline

Get a specific weight.

Parameters

[in] idx The index of the weight

Precondition: Requires that the curve be rational

References axom::primal::BezierCurve< T, NDIMS >::isRational(), and SLIC_ASSERT.

◆ setWeight()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::setWeight	(	int	idx,
		T	weight
	)

inline

Set the weight at a specific index.

Parameters

[in]	idx	The index of the weight
[in]	weight	The updated value of the weight

Precondition: Requires that the curve be rational; Requires that the weight be positive

References axom::primal::BezierCurve< T, NDIMS >::isRational(), and SLIC_ASSERT.

◆ getWeights() [1/2]

template<typename T , int NDIMS>

WeightsVec& axom::primal::BezierCurve< T, NDIMS >::getWeights ( )

inline

Returns a reference of the Bezier curve's weights.

◆ getWeights() [2/2]

template<typename T , int NDIMS>

const WeightsVec& axom::primal::BezierCurve< T, NDIMS >::getWeights ( ) const

inline

Returns a const reference of the Bezier curve's weights.

◆ boundingBox()

template<typename T , int NDIMS>

BoundingBoxType axom::primal::BezierCurve< T, NDIMS >::boundingBox ( ) const

inline

Returns an axis-aligned bounding box containing the Bezier curve.

References axom::Array< T, DIM, SPACE, StoragePolicy >::data(), and axom::Array< T, DIM, SPACE, StoragePolicy >::size().

◆ orientedBoundingBox()

template<typename T , int NDIMS>

OrientedBoundingBoxType axom::primal::BezierCurve< T, NDIMS >::orientedBoundingBox ( ) const

inline

Returns an oriented bounding box containing the Bezier curve.

References axom::Array< T, DIM, SPACE, StoragePolicy >::data(), and axom::Array< T, DIM, SPACE, StoragePolicy >::size().

◆ isLinear()

template<typename T , int NDIMS>

bool axom::primal::BezierCurve< T, NDIMS >::isLinear	(	double	tol = `1e-8`,
		bool	useStrictLinear = `false`
	)		const

inline

Predicate to check if the Bezier curve is approximately linear.

This function checks if the internal control points of the BezierCurve are approximately on the line defined by its two endpoints

Parameters

[in]	tol	Threshold for sum of squared distances
[in]	useStrictLinear	If true, checks that the control points are evenly spaced along the line and not too far from the line

Returns: True if curve is near-linear

References axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::Point< T, NDIMS >::lerp(), and axom::primal::squared_distance().

◆ reverseOrientation()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::reverseOrientation ( )

inline

Reverses the order of the Bezier curve's control points and weights.

References axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::utilities::swap().

◆ evaluate()

template<typename T , int NDIMS>

PointType axom::primal::BezierCurve< T, NDIMS >::evaluate ( T t ) const

inline

Evaluates a Bezier curve at a particular parameter value t.

Parameters

[in] t parameter value at which to evaluate

Returns: p the value of the Bezier curve at t

Note: We typically evaluate the curve at t between 0 and 1

References axom::utilities::annotations::end(), axom::primal::BezierCurve< T, NDIMS >::evaluate(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::utilities::lerp().

◆ evaluateFirstDerivative()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::evaluateFirstDerivative	(	T	t,
		PointType &	eval,
		VectorType &	Dt
	)		const

inline

Computes the 0th and 1st derivative of a Bezier curve.

Parameters

[in]	t	Parameter value at which to compute tangent
[out]	eval	The value of the curve at t
[out]	Dt	The tangent vector of the curve at t

References axom::utilities::annotations::end(), axom::primal::BezierCurve< T, NDIMS >::evaluateFirstDerivative(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::utilities::lerp().

◆ dt()

template<typename T , int NDIMS>

VectorType axom::primal::BezierCurve< T, NDIMS >::dt ( T t ) const

inline

Computes the tangent of a Bezier curve at a particular parameter value t.

Parameters

[in] t parameter value at which to compute tangent

Returns: p the tangent vector of the Bezier curve at t

Note: We typically find the tangent of the curve at t between 0 and 1

References axom::utilities::annotations::end(), axom::primal::BezierCurve< T, NDIMS >::evaluateFirstDerivative(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::utilities::lerp().

◆ evaluateSecondDerivative()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::evaluateSecondDerivative	(	T	t,
		PointType &	eval,
		VectorType &	Dt,
		VectorType &	DtDt
	)		const

inline

Computes the 0th, 1st, and 2nd derivatives of a Bezier curve.

Parameters

[in]	t	Parameter value at which to compute tangent
[out]	eval	The value of the curve at t
[out]	Dt	The tangent vector of the curve at t

References axom::utilities::annotations::end(), axom::primal::BezierCurve< T, NDIMS >::evaluateSecondDerivative(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::utilities::lerp().

◆ dtdt()

template<typename T , int NDIMS>

VectorType axom::primal::BezierCurve< T, NDIMS >::dtdt ( T t ) const

inline

Computes the second derivative of a Bezier curve at a particular parameter value t.

Parameters

[in] t parameter value at which to compute tangent

Returns: p the 2nd derivative vector of the Bezier curve at t

Note: We typically find the second derivative of the curve at t between 0 and 1

References axom::utilities::annotations::end(), axom::primal::BezierCurve< T, NDIMS >::evaluateSecondDerivative(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::isRational(), and axom::utilities::lerp().

◆ split()

template<typename T , int NDIMS>

void axom::primal::BezierCurve< T, NDIMS >::split	(	T	t,
		BezierCurve< T, NDIMS > &	c1,
		BezierCurve< T, NDIMS > &	c2
	)		const

inline

Splits a Bezier curve into two Bezier curves at a given parameter value.

Parameters

[in]	t	parameter value between 0 and 1 at which to evaluate
[out]	c1	First output Bezier curve
[out]	c2	Second output Bezier curve

Precondition: Parameter t must be between 0 and 1

References axom::utilities::annotations::end(), axom::primal::BezierCurve< T, NDIMS >::getOrder(), axom::primal::BezierCurve< T, NDIMS >::getWeight(), axom::primal::BezierCurve< T, NDIMS >::isRational(), axom::primal::Point< T, NDIMS >::lerp(), axom::utilities::lerp(), axom::primal::BezierCurve< T, NDIMS >::makeRational(), axom::primal::BezierCurve< T, NDIMS >::setOrder(), axom::primal::BezierCurve< T, NDIMS >::setWeight(), and SLIC_ASSERT.

◆ print()

template<typename T , int NDIMS>

std::ostream& axom::primal::BezierCurve< T, NDIMS >::print ( std::ostream & os ) const

inline

Simple formatted print of a Bezier Curve instance.

Parameters

os	The output stream to write to

Returns: A reference to the modified ostream

References axom::primal::BezierCurve< T, NDIMS >::getOrder(), and axom::primal::BezierCurve< T, NDIMS >::isRational().

Friends And Related Function Documentation

◆ operator==

template<typename T , int NDIMS>

bool operator==	(	const BezierCurve< T, NDIMS > &	lhs,
		const BezierCurve< T, NDIMS > &	rhs
	)

friend

Checks equality of two Bezier Curve.

◆ operator!=

template<typename T , int NDIMS>

bool operator!=	(	const BezierCurve< T, NDIMS > &	lhs,
		const BezierCurve< T, NDIMS > &	rhs
	)

friend

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

/home/docs/checkouts/readthedocs.org/user_builds/axom/checkouts/develop/src/axom/primal/geometry/BezierCurve.hpp

Public Types

Public Member Functions

Friends

Detailed Description

template<typename T, int NDIMS> class axom::primal::BezierCurve< T, NDIMS >

Member Typedef Documentation

◆ NumericType

◆ PointType

◆ VectorType

◆ SegmentType

◆ WeightsVec

◆ CoordsVec

◆ BoundingBoxType

◆ OrientedBoundingBoxType

Constructor & Destructor Documentation

◆ BezierCurve() [1/7]

◆ BezierCurve() [2/7]

◆ BezierCurve() [3/7]

◆ BezierCurve() [4/7]

◆ BezierCurve() [5/7]

◆ BezierCurve() [6/7]

◆ BezierCurve() [7/7]

Member Function Documentation

◆ AXOM_STATIC_ASSERT_MSG() [1/2]

◆ AXOM_STATIC_ASSERT_MSG() [2/2]

◆ setOrder()

◆ getOrder()

◆ getNumControlPoints()

◆ clear()

◆ isRational()

◆ makeRational()

◆ makeNonrational()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ getInitPoint()

◆ getEndPoint()

◆ getControlPoints() [1/2]

◆ getControlPoints() [2/2]

◆ getWeight()

◆ setWeight()

◆ getWeights() [1/2]

◆ getWeights() [2/2]

◆ boundingBox()

◆ orientedBoundingBox()

◆ isLinear()

◆ reverseOrientation()

◆ evaluate()

◆ evaluateFirstDerivative()

◆ dt()

◆ evaluateSecondDerivative()

◆ dtdt()

◆ split()

◆ print()

Friends And Related Function Documentation

◆ operator==

◆ operator!=

template<typename T, int NDIMS>
class axom::primal::BezierCurve< T, NDIMS >