Noise Class Reference

Perlin noise. More...

#include <noise.h>

Inheritance diagram for Noise:

Public Member Functions
	Noise (bool=false)
	Create a noise function.
	~Noise ()
	Empty.
double	Value (const Vector &) const
	Compute noise at a given point.
double	K () const
	Return the global Lipschitz constant of the noise.
Vector	Gradient (const Vector &) const
	Compute the gradient of the noise function at a given point.
double	AtGradient (const Vector &, Vector &) const
	Compute the gradient of the noise function at a given point.
Vector	AtVector (const Vector &) const
	Vector version of Perlin-style noise function.
Public Member Functions inherited from AnalyticScalarField
	AnalyticScalarField (bool=true)
	Constructor.
Matrix	Hessian (const Vector &) const
	Compute the Hessian symmetric matrix of the field function.
virtual Vector	Normal (const Vector &) const
	Compute the normal to the surface.
bool	Inside (const double &) const
	Check if the value is considered as inside or outside.
virtual Color	GetMaterial (const Vector &, const Vector &=Vector::Null) const
	Compute the color.
virtual Box	GetBox () const
	Compute the bounding box of the scalar field.
void	Curvature (const Vector &, double &, double &) const
	Compute the gaussian and mean curvatures.
Vector	Cast (const Vector &, const double &, const double &=1e-6, int n=100) const
	Given a starting vertex x, project it onto the implicit surface following the gradient.
Vector	Dichotomy (Vector, Vector, double, double, double, const double &=1.0e-4) const
	Compute the intersection between a segment and an implicit surface.
virtual bool	GetSample (Vector &, const Box &, Random &=Random::R239) const
	Find a point sample on the implicit surface.
virtual int	GetSamples (QVector< Vector > &, const Box &, int, Random &=Random::R239) const
	Find a set of random sample points on the implicit surface.
virtual QVector< Vector >	Poisson (double, int, Random &=Random::R239) const
	Compute a Poisson sphere distribution on an implicit surface.
virtual ScalarField2	Sample (const Rectangles &, int, int) const
	Compute the field function at the vertices a lattice.
virtual ScalarField2	Sample (const Quadrangle &, int) const
	Sample the scalar field on a quadrangle.
virtual ScalarField	Sample (const Box &, int) const
	Sample the implicit surface to get a scalar field.
int	Roots (const Ray &, const double &, const double &, const double &, double *, int=1, const double &=1.0e-4) const
	Find the intersections between a ray and an implicit surface on a given interval.
int	Roots (const Ray &, const double &, const double &, const double &, const double &, const double &, double *, int=1, const double &=1.0e-4) const
	This functions searches the intersections between a ray and an implicit surface on a given interval.
virtual double	K (const Box &) const
	Compute the local Lipschitz constant inside a box.
virtual double	K (const Sphere &) const
	Compute the local Lipschitz constant inside a box.
virtual double	K (const Segment &) const
	Compute the local Lipschitz constant along a segment.
virtual void	Polygonize (int, Mesh &, const Box &, const double &=1e-4) const
	Compute the polygonal mesh approximating the implicit surface.
virtual void	PolygonizeLucie (const Box &, Mesh &, bool, bool) const
	Implementation of the original continuation polygonization method.
virtual void	PolygonizeLucie (const double &, Mesh &, bool, bool) const
	Wyvill's original marching cubes algorithm.
virtual void	Dual (int, Mesh &, const Box &) const
	Dual polygonization.
virtual bool	SphereTrace (const Ray &, const double &, const double &, const double &, double &, int &, const double &=1e-4) const
	Find the first intersection between a ray and an implicit surface on a given interval, using sphere tracing.
virtual void	Polygonize (const Box &, QVector< Triangle > &, const double &=1e-4, bool=false) const
	Polygonize a cube.
virtual void	Polygonize (const Tetrahedra &, QVector< Triangle > &, const double &=1e-4) const
	Polygonize a tetrahedral cell.
virtual Mesh	PolygonizeOctree (const Box &, int, const double &=1e-4) const
	Compute the polygonal mesh approximating the implicit surface using an octree decomposition of space.
virtual void	Voxelize (const Box &, int, Box &, QVector< Vector > &) const
	Voxelize the scalar field.
virtual void	Voxelize (int, Voxel &, const Box &) const
	Voxelization.
virtual double	Volume (int=5) const
	Computes the volume of the BlobTree.
virtual double	Volume (const Box &, int) const
	Compute the volume of a BlobTree object.
virtual double	Volume (const Box &, int, double &) const
	Compute the volume of an implicit surface.
virtual double	StochasticVolume (const Box &, int) const
	Compute the volume of an implicit surface.
virtual Sphere	Center (int) const
	Computes the gravity center of the BlobTree.
virtual Sphere	Center (const Box &, int) const
	Compute the center of gravity of the BlobTree.
virtual void	Colorize (const Mesh &, MeshColor &) const
	Colorize the vertexes of a mesh according to the analytic scalar field.

Protected Attributes
bool	quintic = false
	Flag defining interpolation type: either cubic (false) or quintic (true).
Protected Attributes inherited from AnalyticScalarField
bool	sign = true
	Sign convention, used for normal computation.

Static Protected Attributes
static double	rtable [267]
	Random double table.
static const short	hashTable [4096]
	Hash table.
Static Protected Attributes inherited from AnalyticScalarField
static int	ncubes = 0
	Number of cubes processed by polygonization algorithms.
static const double	Epsilon = 1e-6
	Epsilon value for partial derivatives.

Additional Inherited Members
Static Public Member Functions inherited from AnalyticScalarField
static int	Cubes ()
	Get the number of cubes processed.
Protected Member Functions inherited from AnalyticScalarField
bool	Find (Vector &, bool, const Box &, int=10000, Random &=Random::R239) const
	Find a random sample point inside or outside the surface.

Detailed Description

Perlin noise.

This class is used as a core class to create various types of fractal noise, such as sums of scaled noises.

See also

SimplexNoise

Constructor & Destructor Documentation

Noise()

Noise::Noise

(

bool

quintic = false

)

Create a noise function.

Parameters

quintic

Flag defining whether quintic interpolation will be used, noise uses cubic interpolation if set to false.

Member Function Documentation

AtGradient()

double Noise::AtGradient	(	const Vector &	p,
		Vector &	n ) const

Compute the gradient of the noise function at a given point.

Note that it is much faster to call this function rather than calling Noise::Gradient() and NoiseAt() consecutively.

Parameters

p	Point.
n	Returned gradient.

Returns

The noise value.

AtVector()

Vector Noise::AtVector

(

const Vector &

p

)

const

Vector version of Perlin-style noise function.

Parameters

p

Point

Gradient()

Vector Noise::Gradient ( const Vector & p ) const

virtual

Compute the gradient of the noise function at a given point.

Parameters

p

Point.

Reimplemented from AnalyticScalarField.

Value()

double Noise::Value ( const Vector & p ) const

virtual

Compute noise at a given point.

Parameters

p

Point.

Reimplemented from AnalyticScalarField.

Reimplemented in NoiseTurbulence.