DiscSet2 Class Reference

A simple set of discs. More...

#include <sphereset.h>

Public Member Functions
	DiscSet2 ()
	Empty.
	DiscSet2 (const Disc2 &)
	Creates a sphere set given one sphere.
	DiscSet2 (const QVector< Disc2 > &)
	Creates a set of discs.
	DiscSet2 (const DiscSet2 &, const Disc2 &)
	Creates a set of discs and keep only the subset of discs that intersect the second argument sphere.
	~DiscSet2 ()
	Empty.
void	Append (const DiscSet2 &)
	Merge with another set of discs.
bool	Intersect (const DiscSet2 &) const
	Check if two sphere-sets intersect.
bool	Inside (const Vector2 &) const
	Check if a point is inside or outside the set of sphere.
bool	IsEmpty () const
	returns true if the set is empty
double	R (const DiscSet2 &) const
	Compute the signed distance between two sphere-sets.
Box2	GetBox () const
	Compute the bounding box of the set of discs.
Vector2	Normal (const Vector2 &) const
	Computes the normal vector between a point and the sphere set.
double	R (const Vector2 &) const
	Compute the squared distance between a point and the set of discs.
double	Signed (const Vector2 &) const
	Compute the signed distance between a point and the set of discs.
void	Rotate (const Matrix2 &)
	Rotates a sphere set.
void	Translate (const Vector2 &)
	Translates a sphere set.
void	Scale (const double &)
	Uniformly scales a sphere-set.
void	Transform (const Frame2 &)
	Transforms a sphere set given a frame transformation.
int	Size (void) const
	Returns the number of Spheres.
Disc2	GetSphere (int) const
	Returns the number of Spheres.
void	RemoveDuplicates (const double &)
	Removes discs that are close to or embedded in the sphere set.

Protected Attributes
QVector< Disc2 >	discs
	Set of discs.

Detailed Description

A simple set of discs.

This class implements functions to compute the distance between a point and a set of discs, or the detect whether two set of discs intersect.

Constructor & Destructor Documentation

DiscSet2() [1/3]

DiscSet2::DiscSet2 ( const Disc2 & s )

explicit

Creates a sphere set given one sphere.

Parameters

s

Disc2.

DiscSet2() [2/3]

DiscSet2::DiscSet2 ( const QVector< Disc2 > & s )

explicit

Creates a set of discs.

Parameters

s

Set.

DiscSet2() [3/3]

DiscSet2::DiscSet2 ( const DiscSet2 & ss, const Disc2 & s )

explicit

Creates a set of discs and keep only the subset of discs that intersect the second argument sphere.

Parameters

ss	Set.
s	Disc2.

Member Function Documentation

Append()

void DiscSet2::Append

(

const DiscSet2 &

s

)

Merge with another set of discs.

Parameters

s

DiscSet2.

Inside()

bool DiscSet2::Inside

(

const Vector2 &

p

)

const

Check if a point is inside or outside the set of sphere.

Parameters

p	The point.

Intersect()

bool DiscSet2::Intersect

(

const DiscSet2 &

set

)

const

Check if two sphere-sets intersect.

Parameters

set	Set of discs.

Normal()

Vector2 DiscSet2::Normal

(

const Vector2 &

p

)

const

Computes the normal vector between a point and the sphere set.

Simply project point onto the discs, and return the corresponding Euclidean distance vector.

Parameters

p

Point.

R() [1/2]

double DiscSet2::R

(

const DiscSet2 &

set

)

const

Compute the signed distance between two sphere-sets.

If two discs intersect, the result will be negative. If one of the set is empty, returns 0.0.

Parameters

set	Set of discs.

R() [2/2]

double DiscSet2::R

(

const Vector2 &

p

)

const

Compute the squared distance between a point and the set of discs.

Parameters

p	The point.

RemoveDuplicates()

void DiscSet2::RemoveDuplicates

(

const double &

t

)

Removes discs that are close to or embedded in the sphere set.

Parameters

t	Threshold value.

Rotate()

void DiscSet2::Rotate

(

const Matrix2 &

r

)

Rotates a sphere set.

Parameters

r	Rotation matrix.

Scale()

void DiscSet2::Scale

(

const double &

s

)

Uniformly scales a sphere-set.

Parameters

s	Scaling factor.

Signed()

double DiscSet2::Signed

(

const Vector2 &

p

)

const

Compute the signed distance between a point and the set of discs.

Parameters

p	The point.

Transform()

void DiscSet2::Transform

(

const Frame2 &

t

)

Transforms a sphere set given a frame transformation.

Parameters

t	Transformation.

Translate()

void DiscSet2::Translate

(

const Vector2 &

t

)

Translates a sphere set.

Parameters

t	Translation vector.