QuadricCurveSet Class Reference

Piecewise quadric curves. More...

#include <curveset.h>

Public Member Functions
	QuadricCurveSet ()
	Creates an empty piecewise quadric curve.
	QuadricCurveSet (const QVector< Vector > &)
	Creates the piecewise quadric curve given a set of control points.
	QuadricCurveSet (const QVector< QuadricCurve > &)
	Create a set of quadric curves.
	~QuadricCurveSet ()
	Empty.
Matrix	GetMatrix (const double &) const
	Compute the Frenet vectors at a given point on the curve.
Frame	GetFrame (const double &) const
	Compute the Frenet frame at a given point on the curve.
int	Size () const
	Returns the number of elements of the piecewise quadric curve.
QuadricCurve	operator() (int) const
	Read only access to the elements of the piecewise quadric curve.
QVector< Vector >	GetDiscretisation (const double &) const
	Generates a discretization of the curve with a linear curvilign absisca parameterization.
int	U (const double &, double &) const
	Compute the parameter of the curve corresponding to the input length.
double	R (const Vector &, double &, int &) const
	This function returns the squared distance between a point and a set of quadric curves.
double	R (const Vector &) const
	Compute the squared distance between a point and a set of quadric curves.
double	Signed (const Vector &) const
	Compute the distance between a point and a set of quadric curves.
Box	GetBox () const
	Compute the bounding box of the curve.
double	GetLength () const
	Return the length of the curve.
double	GetLength (int) const
	Return the length of the sub-curve.
QuadricCurveSet &	operator+= (const QuadricCurveSet &)
	Appends a piecewise cubic curve to an existing piecewise cubic curve.

Protected Attributes
QVector< QuadricCurve >	curve
	Set of quadric curves.
QVector< double >	lengths
	Length of every curve (internal optimization)
double	length = 0.0
	Total length (internal optimization)

Detailed Description

Piecewise quadric curves.

The array of quadric curves is stored using a QVector container so as to simplify memory management.

Constructor & Destructor Documentation

QuadricCurveSet() [1/2]

QuadricCurveSet::QuadricCurveSet ( const QVector< Vector > & p )

explicit

Creates the piecewise quadric curve given a set of control points.

Parameters

p	Control vertices.

QuadricCurveSet() [2/2]

QuadricCurveSet::QuadricCurveSet ( const QVector< QuadricCurve > & s )

explicit

Create a set of quadric curves.

Parameters

s	Set of quadric curves.

Member Function Documentation

GetDiscretisation()

QVector< Vector > QuadricCurveSet::GetDiscretisation

(

const double &

step

)

const

Generates a discretization of the curve with a linear curvilign absisca parameterization.

Parameters

step	Stepping distance.

GetFrame()

Frame QuadricCurveSet::GetFrame

(

const double &

u

)

const

Compute the Frenet frame at a given point on the curve.

Parameters

u	Parameter.

GetLength()

double QuadricCurveSet::GetLength ( int k ) const

inline

Return the length of the sub-curve.

Parameters

k	Curve index.

GetMatrix()

Matrix QuadricCurveSet::GetMatrix

(

const double &

u

)

const

Compute the Frenet vectors at a given point on the curve.

The columns of the returned matrix contain the tangent, normal and binormal vectors.

Parameters

u	Parameter.

operator+=()

QuadricCurveSet & QuadricCurveSet::operator+=

(

const QuadricCurveSet &

c

)

Appends a piecewise cubic curve to an existing piecewise cubic curve.

Parameters

c	Argument piecewise cubic curve.

R() [1/2]

double QuadricCurveSet::R

(

const Vector &

p

)

const

Compute the squared distance between a point and a set of quadric curves.

See also

QuadricCurveSet::R(const Vector&,double&,int&)

Parameters

p

Point.

R() [2/2]

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

This function returns the squared distance between a point and a set of quadric curves.

See also

QuadicCurve::R()

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.

Signed()

double QuadricCurveSet::Signed

(

const Vector &

p

)

const

Compute the distance between a point and a set of quadric curves.

See also

QuadricCurveSet::R(const Vector&,double&,int&)

Parameters

p

Point.

U()

int QuadricCurveSet::U	(	const double &	s,
		double &	u ) const

Compute the parameter of the curve corresponding to the input length.

Parameters

s	Input length.
u	Parameter of the i-th curve.

Returns

Identifier of the curve in the piecewise definition.