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.
	PointCurve (const QuadricCurve &, int, const double &=0.0, const double &=1.0)
	Creates a point curve from a quadric curve.
	PointCurve (const QVector< Vector > &, bool=false)
	Creates a curve with points.
	~PointCurve ()
	Empty.
int	Size () const
	Return the size of the sampled curve.
Vector	Tangent (int) const
	Compute the tangent at a given point.
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.
void	Rotate (const Matrix &)
	Rotate the curve.
void	Translate (const Vector &)
	Rotate the curve.
void	Scale (const double &)
	Scale the curve.
void	Transform (const Frame &)
	Tranform the curve.
PointCurve	Transformed (const Frame &) const
	Tranform the curve.
double	Length () const
	Compute the length of the curve.
Public Member Functions inherited from VectorSet
	VectorSet ()
	Empty.
	VectorSet (const VectorSet2 &)
	Create a set of vectors.
	VectorSet (const QVector< Vector > &)
	Create a set of vectors.
	VectorSet (Vector *, unsigned int)
	Create a set of vectors.
VectorSet	VectorToPoint () const
	Convert a series of displacements into positions.
void	Reverse ()
	Reverse the order of the elements.
	~VectorSet ()
	Empty.
Vector	At (int) const
	Access to element.
Vector	Vertex (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.
Box	GetBox () const
	Compute the bounding box.
void	Rotate (const Matrix &)
	Rotate all the points.
void	Translate (const Vector &)
	Translate all the points.
void	Scale (const double &)
	Scale all the points.
void	Scale (const Vector &)
	Scale all the points.
void	Transform (const Frame &)
	Transform all the points.
void	Transform (const FrameScaled &)
	Transform all the points.
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.
void	Load (const QString &)
	Extract vertexes from an .obj file.
int	Nearest (const Vector &) const
	Compute the index of the nearest point to the argument point.
QVector< Vector >	Nearest (const Vector &, int) const
	Compute the k-nearest points to the argument point.
QVector< int >	NearestIndexes (const Vector &, int) const
	Compute the set of indexes of the k-nearest points to the argument point.
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.

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

Protected Attributes
bool	closed = false
	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 segment for which the minimum distance was found.

Rotate()

void PointCurve::Rotate

(

const Matrix &

r

)

Rotate the curve.

Parameters

r	Rotation matrix.

Scale()

void PointCurve::Scale

(

const double &

s

)

Scale the curve.

Parameters

s

Scaling.

Tangent()

Vector PointCurve::Tangent

(

int

i

)

const

Compute the tangent at a given point.

Parameters

i

Index.

Transform()

void PointCurve::Transform

(

const Frame &

frame

)

Tranform the curve.

Parameters

frame

The frame.

Transformed()

PointCurve PointCurve::Transformed

(

const Frame &

frame

)

const

Tranform the curve.

Parameters

frame

The frame.

Translate()

void PointCurve::Translate

(

const Vector &

t

)

Rotate the curve.

Parameters

t	Translation vector.