HemiSphere Class Reference

Hemispheres. More...

#include <hemisphere.h>

Public Member Functions
	HemiSphere (const Vector &, const Vector &, const double &)
	Create a hemi-sphere.
	HemiSphere (const double &)
	Create a hemi-sphere centered at the origin and with vertical direction.
	~HemiSphere ()
	Empty.
Vector	Normal (const Vector &) const
	Compute the distance vector between the hemisphere and a point.
double	R (const Vector &) const
	Compute the distance between the hemisphere and a point.
double	Signed (const Vector &) const
	Compute the Euclidean signed distance between the hemisphere and a point.
bool	Inside (const Vector &) const
	Compute the Euclidean signed distance between the hemisphere and a point.
Box	GetBox () const
	Compute the bouding box.
Vector	Center () const
	Gets the center of a hemisphere.
double	Radius () const
	Gets the radius of a hemisphere.
Vector	GetAxis () const
	Gets the axis of the hemisphere.
Vector	Fibonacci (int, int)
	Compute the i-th Fibonacci direction on the hemisphere.
QVector< Vector >	PoissonInside (const double &, int, int=0, Random &=Random::R239) const
	Create a Poisson Disc sampling of interioor of the hemisphere.
void	Relaxation (QVector< Vector > &, int=1, const double &=1.0/8.0) const
	Perform a relaxation step over the Poisson-Disc distribution.
Vector	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the hemisphere.

Static Public Member Functions
static Vector	FibonacciUnit (int, int)
	Compute the i-th Fibonacci direction on the vertical unit hemisphere.
static Vector	RandomDirection (const Vector &, Random &=Random::R239)
	Generate a random direction.

Protected Attributes
Vector	c = Vector::Null
	Center.
double	r = 1.0
	Radius.
Vector	axis = Vector::Z
	Axis.

Friends
std::ostream &	operator<< (std::ostream &s, const HemiSphere &hemisphere)
	Overloaded output-stream operator.

Detailed Description

Hemispheres.

Constructor & Destructor Documentation

HemiSphere() [1/2]

HemiSphere::HemiSphere ( const Vector & c, const Vector & a, const double & r )

explicit

Create a hemi-sphere.

Parameters

c	Center.
r	Radius.
a	Axis, should be normalized.

HemiSphere() [2/2]

HemiSphere::HemiSphere ( const double & r )

explicit

Create a hemi-sphere centered at the origin and with vertical direction.

Parameters

r

Radius.

Member Function Documentation

Fibonacci()

Vector HemiSphere::Fibonacci	(	int	i,
		int	n )

Compute the i-th Fibonacci direction on the hemisphere.

Parameters

i	Point index.
n	Number of samples on the hemisphere.

FibonacciUnit()

Vector HemiSphere::FibonacciUnit ( int i, int n )

static

Compute the i-th Fibonacci direction on the vertical unit hemisphere.

Parameters

i	Point index.
n	Number of samples on the hemisphere.

Inside()

bool HemiSphere::Inside

(

const Vector &

p

)

const

Compute the Euclidean signed distance between the hemisphere and a point.

Parameters

p

Point.

Normal()

Vector HemiSphere::Normal

(

const Vector &

p

)

const

Compute the distance vector between the hemisphere and a point.

Parameters

p

Point.

PoissonInside()

QVector< Vector > HemiSphere::PoissonInside	(	const double &	r,
		int	n,
		int	relax = 0,
		Random &	random = Random::R239 ) const

Create a Poisson Disc sampling of interioor of the hemisphere.

Simple dart throwing algorithm.

Parameters

r	Radius of the spheres.
n	Maximum number of darts thrown inside the sphere.
random	Random number generator.

R()

double HemiSphere::R

(

const Vector &

p

)

const

Compute the distance between the hemisphere and a point.

Parameters

p

Point.

RandomDirection()

Vector HemiSphere::RandomDirection ( const Vector & axis, Random & random = Random::R239 )

static

Generate a random direction.

Parameters

axis	Axis.
random	Random number generator.

RandomInside()

Vector HemiSphere::RandomInside

(

Random &

random = Random::R239

)

const

Generate a random vector inside the hemisphere.

Parameters

random

Random number generator.

Relaxation()

void HemiSphere::Relaxation	(	QVector< Vector > &	p,
		int	n = 1,
		const double &	e = 1.0/8.0 ) const

Perform a relaxation step over the Poisson-Disc distribution.

Parameters

p	Set of points.
e	Relaxation coefficient, it is the fraction of the Poisson radius.
n	Number of relaxation steps.

Signed()

double HemiSphere::Signed

(

const Vector &

p

)

const

Compute the Euclidean signed distance between the hemisphere and a point.

Parameters

p

Point.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const HemiSphere & hemisphere )

friend

Overloaded output-stream operator.

Parameters

s	Stream.
hemisphere	The hemisphere.