curve.h File Reference

Curve data types and related operations. More...

#include "debugging/debugging.h"
#include "container/array.h"
#include <math/matrix.h>

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Data Structures
struct	BernsteinPolynomial< I, Degree >
struct	BernsteinPolynomial< Zero, Zero >
struct	BernsteinPolynomial< Zero, One >
struct	BernsteinPolynomial< One, One >
struct	BernsteinPolynomial< Zero, Two >
struct	BernsteinPolynomial< One, Two >
struct	BernsteinPolynomial< Two, Two >
struct	BernsteinPolynomial< Zero, Three >
struct	BernsteinPolynomial< One, Three >
struct	BernsteinPolynomial< Two, Three >
struct	BernsteinPolynomial< Three, Three >
Defines
#define	INCLUDED_MATH_CURVE_H
Typedefs
typedef IntegralConstant< 0 >	Zero
typedef IntegralConstant< 1 >	One
typedef IntegralConstant< 2 >	Two
typedef IntegralConstant< 3 >	Three
typedef IntegralConstant< 4 >	Four
typedef Array< Vector3 >	ControlPoints
typedef Array< float >	Knots
typedef Array< float >	NURBSWeights
Functions
Vector3	CubicBezier_evaluate (const Vector3 *firstPoint, double t)
Vector3	CubicBezier_evaluateMid (const Vector3 *firstPoint)
Vector3	CatmullRom_evaluate (const ControlPoints &controlPoints, double t)
double	BSpline_basis (const Knots &knots, std::size_t i, std::size_t degree, double t)
Vector3	BSpline_evaluate (const ControlPoints &controlPoints, const Knots &knots, std::size_t degree, double t)
Vector3	NURBS_evaluate (const ControlPoints &controlPoints, const NURBSWeights &weights, const Knots &knots, std::size_t degree, double t)
void	KnotVector_openUniform (Knots &knots, std::size_t count, std::size_t degree)

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Detailed Description

Curve data types and related operations.

Definition in file curve.h.

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Define Documentation

#define INCLUDED_MATH_CURVE_H

Definition at line 28 of file curve.h.

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Typedef Documentation

typedef Array<Vector3> ControlPoints

Definition at line 139 of file curve.h.

typedef IntegralConstant<4> Four

Definition at line 47 of file curve.h.

typedef Array<float> Knots

Definition at line 204 of file curve.h.

typedef Array<float> NURBSWeights

Definition at line 231 of file curve.h.

typedef IntegralConstant<1> One

Definition at line 44 of file curve.h.

typedef IntegralConstant<3> Three

Definition at line 46 of file curve.h.

typedef IntegralConstant<2> Two

Definition at line 45 of file curve.h.

typedef IntegralConstant<0> Zero

Definition at line 43 of file curve.h.

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Function Documentation

double BSpline_basis	(	const Knots &	knots,
		std::size_t	i,
		std::size_t	degree,
		double	t
	)			[inline]

Definition at line 206 of file curve.h.

References left, and right.

Referenced by BSpline_evaluate(), NURBS_evaluate(), and plotBasisFunction().

Vector3 BSpline_evaluate	(	const ControlPoints &	controlPoints,
		const Knots &	knots,
		std::size_t	degree,
		double	t
	)			[inline]

Definition at line 222 of file curve.h.

References BSpline_basis(), i, and Array< Element, Allocator >::size().

Vector3 CatmullRom_evaluate	(	const ControlPoints &	controlPoints,
		double	t
	)			[inline]

Definition at line 175 of file curve.h.

References CubicBezier_evaluate(), i, and Array< Element, Allocator >::size().

Referenced by CatmullRomSpline::tesselate().

Vector3 CubicBezier_evaluate	(	const Vector3 *	firstPoint,
		double	t
	)			[inline]

Definition at line 141 of file curve.h.

References BernsteinPolynomial< I, Degree >::apply().

Referenced by CatmullRom_evaluate().

Vector3 CubicBezier_evaluateMid

(

const Vector3 *

firstPoint

)

[inline]

Definition at line 170 of file curve.h.

void KnotVector_openUniform	(	Knots &	knots,
		std::size_t	count,
		std::size_t	degree
	)			[inline]

Definition at line 246 of file curve.h.

References i, Array< Element, Allocator >::resize(), and Array< Element, Allocator >::size().

Referenced by NURBSCurve::parseCurve(), and plotBasisFunction().

Vector3 NURBS_evaluate	(	const ControlPoints &	controlPoints,
		const NURBSWeights &	weights,
		const Knots &	knots,
		std::size_t	degree,
		double	t
	)			[inline]

Definition at line 233 of file curve.h.

References BSpline_basis(), i, and Array< Element, Allocator >::size().

Referenced by NURBSCurve::tesselate().