SphereSet Class Reference

A simple set of spheres. More...

#include <sphereset.h>

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

Protected Attributes
QVector< Sphere >	spheres
	Set of spheres.

Detailed Description

A simple set of spheres.

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

Constructor & Destructor Documentation

SphereSet() [1/3]

SphereSet::SphereSet ( const Sphere & s )

explicit

Creates a sphere set given one sphere.

Parameters

s

Sphere.

SphereSet() [2/3]

SphereSet::SphereSet ( const QVector< Sphere > & s )

explicit

Creates a set of spheres.

Parameters

s

Set.

SphereSet() [3/3]

SphereSet::SphereSet ( const SphereSet & ss, const Sphere & s )

explicit

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

Parameters

ss	Set.
s	Sphere.

Member Function Documentation

Append()

void SphereSet::Append

(

const SphereSet &

s

)

Merge with another set of spheres.

Parameters

s	SphereSet.

Inside()

bool SphereSet::Inside

(

const Vector &

p

)

const

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

Parameters

p	The point.

Intersect()

bool SphereSet::Intersect

(

const SphereSet &

set

)

const

Check if two sphere-sets intersect.

Parameters

set	Set of spheres.

Normal()

Vector SphereSet::Normal

(

const Vector &

p

)

const

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

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

Parameters

p

Point.

R() [1/2]

double SphereSet::R

(

const SphereSet &

set

)

const

Compute the signed distance between two sphere-sets.

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

Parameters

set	Set of spheres.

R() [2/2]

double SphereSet::R

(

const Vector &

p

)

const

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

Parameters

p	The point.

RemoveDuplicates()

void SphereSet::RemoveDuplicates

(

const double &

t

)

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

Parameters

t	Threshold value.

Rotate()

void SphereSet::Rotate

(

const Matrix &

r

)

Rotates a sphere set.

Parameters

r	Rotation matrix.

Scale()

void SphereSet::Scale

(

const double &

s

)

Uniformly scales a sphere-set.

Parameters

s	Scaling factor.

Signed()

double SphereSet::Signed

(

const Vector &

p

)

const

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

Parameters

p	The point.

Transform()

void SphereSet::Transform

(

const Frame &

t

)

Transforms a sphere set given a frame transformation.

Parameters

t	Transformation.

Translate()

void SphereSet::Translate

(

const Vector &

t

)

Translates a sphere set.

Parameters

t	Translation vector.