GClasses::GBezier Class Reference

Detailed Description

Represents a Bezier curve.

#include <GBezier.h>

Public Member Functions
	GBezier (int nControlPoints)
	GBezier (GBezier *pThat)
	~GBezier ()
void	controlPoint (G3DVector *pOutPoint, double *pOutWeight, int n)
	Returns a control point. More...
int	controlPointCount ()
	Returns the number of control points in this curve (which is always one more than the degree of the curve). More...
GBezier *	copy ()
double	curvatureAtZero ()
	todo: this method is not reliable–there's a bug in this method somewhere More...
void	derivativeAtZero (G3DVector *pOutPoint)
	Returns the tangeant to the curve at t=0. More...
void	elevateDegree ()
	Increases the degree (and number of control points) of the curve by one without changing the curve. (Only the control points are changed.) More...
void	point (double t, G3DVector *pOutPoint)
	Returns a point on the curve. More...
void	segment (double t, bool bTail)
	Crops the curve. If bTail is true, only the end of the curve remains. If bTail is false, only the beginning of the curve remains. More...
void	setControlPoint (int n, G3DVector *pPoint, double weight)
	Sets a control point. More...
void	toPolynomial (G3DVector *pOutCoefficients)
	This expects you to pass in a pointer to an array of G3DVector of size m_nControlPoints. More...

Static Public Member Functions
static GBezier *	fromPolynomial (G3DVector *pCoefficients, int nCoefficients)
	Example: If you have the three equations: x=1+2t+3t*t, y=4+5t+6t*t, z=7+8t+9t*t then you would pass in this array of points: { (1, 4, 7), (2, 5, 8), (3, 6, 9) } to get the equivalent Bezier curve. More...
static void	test ()
	Performs unit tests for this class. Throws an exception if there is a failure. More...

Protected Member Functions
struct GBezierPoint *	deCasteljau (double t, bool bTail)

Protected Attributes
int	m_nControlPoints
struct GBezierPoint *	m_pPoints

Constructor & Destructor Documentation

GClasses::GBezier::GBezier

(

int

nControlPoints

)

GClasses::GBezier::GBezier

(

GBezier *

pThat

)

GClasses::GBezier::~GBezier

(

)

Member Function Documentation

void GClasses::GBezier::controlPoint	(	G3DVector *	pOutPoint,
		double *	pOutWeight,
		int	n
	)

Returns a control point.

int GClasses::GBezier::controlPointCount

(

)

Returns the number of control points in this curve (which is always one more than the degree of the curve).

GBezier* GClasses::GBezier::copy

(

)

double GClasses::GBezier::curvatureAtZero

(

)

todo: this method is not reliable–there's a bug in this method somewhere

struct GBezierPoint* GClasses::GBezier::deCasteljau ( double  t, bool  bTail  )

protected

void GClasses::GBezier::derivativeAtZero

(

G3DVector *

pOutPoint

)

Returns the tangeant to the curve at t=0.

void GClasses::GBezier::elevateDegree

(

)

Increases the degree (and number of control points) of the curve by one without changing the curve. (Only the control points are changed.)

static GBezier* GClasses::GBezier::fromPolynomial ( G3DVector *  pCoefficients, int  nCoefficients  )

static

Example: If you have the three equations: x=1+2t+3t*t, y=4+5t+6t*t, z=7+8t+9t*t then you would pass in this array of points: { (1, 4, 7), (2, 5, 8), (3, 6, 9) } to get the equivalent Bezier curve.

void GClasses::GBezier::point	(	double	t,
		G3DVector *	pOutPoint
	)

Returns a point on the curve.

void GClasses::GBezier::segment	(	double	t,
		bool	bTail
	)

Crops the curve. If bTail is true, only the end of the curve remains. If bTail is false, only the beginning of the curve remains.

void GClasses::GBezier::setControlPoint	(	int	n,
		G3DVector *	pPoint,
		double	weight
	)

Sets a control point.

static void GClasses::GBezier::test ( )

static

Performs unit tests for this class. Throws an exception if there is a failure.

void GClasses::GBezier::toPolynomial

(

G3DVector *

pOutCoefficients

)

This expects you to pass in a pointer to an array of G3DVector of size m_nControlPoints.

Member Data Documentation

int GClasses::GBezier::m_nControlPoints

protected

struct GBezierPoint* GClasses::GBezier::m_pPoints

protected