NoiseTurbulence2 Class Reference

Turbulence computed from a modified noise function. More...

#include <turbulence.h>

Inheritance diagram for NoiseTurbulence2:

Public Member Functions
	NoiseTurbulence2 (const double &=0.0, const double &=1.0, const double &=1.0, const double &=0.5, const double &=0.5, int=5, const Vector &=Vector::Null)
	Creates a turbulence field.
	~NoiseTurbulence2 ()
	Destroys a turbulence instance.
double	Value (const Vector2 &) const
	Compute the turbulence value at a given point.
double	Omega () const
	Return the amplitude dampening coefficient.
double	Lambda () const
	Return the wavelength dampening coefficient.
int	Octaves () const
	Number of octaves.
double	K () const
	Return the global Lipschitz constant.
double	Maximum () const
	Computes the maximum of the turbulence.
virtual ScalarField2	Sample (const Array2 &) const
	Create a discrete scalar field by sampling a given domain.
Public Member Functions inherited from Noise2
	Noise2 (bool=false)
	Create a noise function.
	~Noise2 ()
	Empty.
double	K () const
	Return the global Lipschitz constant of the noise.
Public Member Functions inherited from AnalyticScalarField2
	AnalyticScalarField2 (bool=true)
	Constructor.
virtual Vector2	Gradient (const Vector2 &) const
	Compute the gradient of the field.
virtual Matrix2	Hessian (const Vector2 &) const
	Compute the hessian at a given point.
bool	Inside (const double &) const
	Check if the value is considered as inside or outside.
void	Curvature (const Vector2 &, double &, double &) const
	Compute the gaussian and mean curvatures.
virtual Box2	GetBox () const
	Return the bounding box.

Protected Attributes
double	v0 = 0.0
	Base value.
double	a0 = 1.0
	Base amplitude.
double	l0 = 1.0
	Wavelength.
double	alpha = 0.5
	Amplitude attenuation coefficient.
double	lambda = 0.5
	Wavelength amplification coefficient.
int	octaves = 8
	Number of octaves.
Vector	t = Vector::Null
	Translation.
Protected Attributes inherited from Noise2
bool	quintic = false
	Flag defining interpolation type: either cubic (false) or quintic (true).
Protected Attributes inherited from AnalyticScalarField2
bool	sign = true
	Sign convention, used for normal computation.
Box2	box = Box2::Infinity
	Domain, set as infinite for base class.

Static Protected Attributes
static const Matrix2	R2 = Matrix2::Rotation(4.0 * Math::Pi / 19.0)
	Random incremental rotation in the plane.
Static Protected Attributes inherited from Noise2
static double	rtable [267]
	Random double table.
static const short	hashTable [4096]
	Hash table.
Static Protected Attributes inherited from AnalyticScalarField2
static const double	epsilon = 1e-6
	\epsilon; value for partial derivatives

Friends
std::ostream &	operator<< (std::ostream &s, const NoiseTurbulence2 &noise)
	Overloaded.

Additional Inherited Members
Protected Member Functions inherited from AnalyticScalarField2
Matrix	Local (const Vector2 &) const
	Compute the local neighborhood in the one-ring aroung a point.

Detailed Description

Turbulence computed from a modified noise function.

A turbulence field is characterized by the number of octaves, the attenuation of the amplitude of the noise summed at every step, and by the amplification of the wavelength.

Constructor & Destructor Documentation

NoiseTurbulence2()

NoiseTurbulence2::NoiseTurbulence2 ( const double & v = 0.0, const double & a = 1.0, const double & l = 1.0, const double & alpha = 0.5, const double & lambda = 0.5, int octaves = 5, const Vector & t = Vector::Null )

explicit

Creates a turbulence field.

Parameters

v,a,l	Base value, amplitude and wavelength.
alpha,lambda	Amplitude and wavelength attenuation (should be less than 1.0 in general).
octaves	Number of octaves.
t	Offset vector.

Member Function Documentation

K()

double NoiseTurbulence2::K

(

)

const

Return the global Lipschitz constant.

See also

Noise::K()

Maximum()

double NoiseTurbulence2::Maximum

(

)

const

Computes the maximum of the turbulence.

Sums the maximum of the terms of the series of scaled noise.

Sample()

ScalarField2 AnalyticScalarField2::Sample ( const Array2 & a ) const

virtual

Create a discrete scalar field by sampling a given domain.

Parameters

a

Domain.

Reimplemented from AnalyticScalarField2.

Value()

double NoiseTurbulence2::Value ( const Vector2 & p ) const

virtual

Compute the turbulence value at a given point.

Sums a series of scaled noise functions.

Parameters

p

Point.

Reimplemented from Noise2.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const NoiseTurbulence2 & noise )

friend

Overloaded.

Parameters

s	Stream.
noise	The noise.