PointCurve Class Reference

Piecewise point curve. More...

#include <curvepoint.h>

Inheritance diagram for PointCurve:

Public Member Functions
	PointCurve ()
	Empty.
	PointCurve (const CubicCurve &, int, const double &=0.0, const double &=1.0)
	Creates a point curve from a cubic curve. More...
	PointCurve (const QuadricCurve &, int, const double &=0.0, const double &=1.0)
	Creates a point curve from a quadric curve. More...
	PointCurve (const QVector< Vector > &, bool=false)
	Creates a curve with points. More...
	~PointCurve ()
	Empty.
int	Size () const
	Return the size of the sampled curve.
Vector	Tangent (int) const
	Compute the tangent at a given point. More...
bool	IsClosed () const
	Check if the curve is closed.
double	R (const Vector &, double &, int &) const
	Computes the projection of p onto the piecewise linear curve and returns the squared distance. More...
double	Length () const
	Compute the length of the curve.
Public Member Functions inherited from VectorSet
	VectorSet ()
	Empty.
	VectorSet (const QVector< Vector > &)
	Create a set of vectors. More...
	VectorSet (Vector *, unsigned int)
	Create a set of vectors. More...
void	Reverse ()
	Reverse the order of the elements.
	~VectorSet ()
	Empty.
Vector	At (int) const
	Access to element.
Vector &	operator[] (int)
	Access to element.
int	Size () const
	Return the size of the set.
Vector	Barycenter () const
	Compute the barycenter.
void	Append (const Vector &)
	Add a point to the set. More...
Box	GetBox () const
	Compute the bounding box. More...
void	Rotate (const Matrix &)
	Rotate all the points. More...
void	Translate (const Vector &)
	Translate all the points. More...
void	Scale (const double &)
	Scale all the points. More...
void	Scale (const Vector &)
	Scale all the points. More...
void	Transform (const Frame &)
	Transform all the points. More...
void	Transform (const FrameScaled &)
	Transform all the points. More...
QVector< Vector > &	Get ()
	Access to the internal structure.
const QVector< Vector > &	Get () const
	Access to the internal structure.
void	Clean (const double &)
	Remove redundant points that are within epsilon distance. More...
void	Load (const QString &)
	Extract vertexes from an .obj file. More...
int	Nearest (const Vector &) const
	Compute the index of the nearest point to the argument point. More...
QVector< Vector >	Nearest (const Vector &, int) const
	Compute the k-nearest points to the argument point. More...
QVector< int >	NearestIndexes (const Vector &, int) const
	Compute the set of indexes of the k-nearest points to the argument point. More...
QVector< int >	NearestIndexes (int, int, const double &=Math::Infinity) const
	Compute the set of indexes of the k-nearest points to the argument point in the set. More...

Static Public Member Functions
static double	Length (const QVector< Vector > &, bool=false)
	Compute the length of a discrete curve. More...

Protected Attributes
bool	closed
	Closed curve flag.
Protected Attributes inherited from VectorSet
QVector< Vector >	v
	Set of vectors.

Detailed Description

Piecewise point curve.

Constructor & Destructor Documentation

PointCurve() [1/3]

PointCurve::PointCurve ( const CubicCurve &  c, int  n, const double &  a = 0.0, const double &  b = 1.0  )

explicit

Creates a point curve from a cubic curve.

Samples are obtained by a simple discretization of the interval

Parameters

c	Cubic curve.
n	Number of points.
a,b	Interval.

PointCurve() [2/3]

PointCurve::PointCurve ( const QuadricCurve &  c, int  n, const double &  a = 0.0, const double &  b = 1.0  )

explicit

Creates a point curve from a quadric curve.

Samples are obtained by a simple discretization of the interval

Parameters

c	Quadric curve.
n	Number of points.
a,b	Internval.

PointCurve() [3/3]

PointCurve::PointCurve ( const QVector< Vector > &  p, bool  closed = false  )

explicit

Creates a curve with points.

Parameters

p	Set of points.
closed	Flag defining whether the curve is closed (true) or open (false).

Member Function Documentation

Length()

double PointCurve::Length ( const QVector< Vector > &  p, bool  closed = false  )

static

Compute the length of a discrete curve.

Parameters

p	Array of points.
closed	Boolean.

R()

double PointCurve::R	(	const Vector &	p,
		double &	u,
		int &	k
	)		const

Computes the projection of p onto the piecewise linear curve and returns the squared distance.

Parameters

p	Point.
u	Parameter defining the coordinate of the projection of the argument vertex onto the curve.
k	Index of the curve for which the minimum distance was found.

Tangent()

Vector PointCurve::Tangent

(

int

i

)

const

Compute the tangent at a given point.

Parameters

i

Index.