SphereTile Class Reference

Poisson sphere tiling for importance sampling. More...

#include <sampling.h>

Public Member Functions
	SphereTile (const Random &=Random(239))
	Empty.
	SphereTile (const double &, const double &, int, const Random &=Random(239))
	Create a poisson sampling in a square domain.
	~SphereTile ()
	Empty.
void	Relaxation (const double &=1.0/4.0)
	Perform a relaxation step in the Poisson vertex distribution.
Vector	Vertex (int) const
	Getter on the i-th sample.
Sphere	At (int) const
	Getter on the i-th sample as a sphere.
const QVector< Vector >	GetSet () const
	Return the vector containing the samples.
int	Size () const
	Return the number of samples.
Box	GetBox () const
	Return the box.

Static Public Member Functions
static bool	Check (const Vector &, const QVector< Vector > &, double)
	Performs a poisson sphere check on a set of point and a candidate position.

Protected Member Functions
void	Generate (int)
	Generate the poisson sampling of the domain.

Protected Attributes
double	a = 0.0
	Size.
double	r = 0.0
	Radius.
double	e = 0.0
	Squared radius with small epsilon tolerance.
QVector< Vector >	p
	Array of samples.
Random	random
	Random number generator.

Detailed Description

Poisson sphere tiling for importance sampling.

See also

DiscTile

Constructor & Destructor Documentation

SphereTile() [1/2]

SphereTile::SphereTile ( const Random & r = Random(239) )

explicit

Empty.

Initialize a poisson sphere tiling.

Parameters

r	Random number generator.

SphereTile() [2/2]

SphereTile::SphereTile ( const double & a, const double & r, int n, const Random & ra = Random(239) )

explicit

Create a poisson sampling in a square domain.

Parameters

a	Size of the side of the square.
r	Radius of the samples.
n	Maximum number of samples in the dart throwing process. Note that the number of samples will be different.
ra	Random number generator.

Member Function Documentation

At()

Sphere SphereTile::At ( int i ) const

inline

Getter on the i-th sample as a sphere.

Parameters

i	Sample index.

Check()

bool SphereTile::Check ( const Vector & p, const QVector< Vector > & s, double r )

static

Performs a poisson sphere check on a set of point and a candidate position.

Returns true if the candidate intersects with the distribution, false otherwise.

Parameters

p	Candidate position
s	Set of point
r	Poisson sphere radius.

Generate()

void SphereTile::Generate ( int n )

protected

Generate the poisson sampling of the domain.

Parameters

n	Number of darts thrown on the domain.

Note that the number of generated samples will be less than n.

Relaxation()

void SphereTile::Relaxation

(

const double &

c = 1.0 / 4.0

)

Perform a relaxation step in the Poisson vertex distribution.

Parameters

c	Relaxation coefficient, it the fraction of the radius of the Poisson distribution.

Vertex()

Vector SphereTile::Vertex ( int i ) const

inline

Getter on the i-th sample.

Parameters

i	Sample index.