SimplexNoise Class Reference

Simplex noise. More...

#include <noise.h>

Inheritance diagram for SimplexNoise:

Public Member Functions
	SimplexNoise ()
	Empty.
	~SimplexNoise ()
	Empty.
double	Value (const Vector &) const
	Compute the simplex noise at a given point.
double	K () const
	Return the global Lipschitz constant of the noise.
Public Member Functions inherited from AnalyticScalarField
	AnalyticScalarField (bool=true)
	Constructor.
virtual Vector	Gradient (const Vector &) const
	Compute the gradient of the field.
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.

Static Protected Attributes
static const Vector	gradient [12]
	Array of gradients for 3D noise.
static const int	perm [512]
	Permutation table, 256 entries duplicated once to avoid modulo computations.
static const double	G3 = 1.0 / 6.0
	Unskew factors for 3D case.
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.
Protected Attributes inherited from AnalyticScalarField
bool	sign = true
	Sign convention, used for normal computation.

Detailed Description

Simplex noise.

Simplex noise returns random values in [-1,+1] interval.

See also

Noise

Member Function Documentation

Value()

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

virtual

Compute the simplex noise at a given point.

Parameters

p

Point.

Reimplemented from AnalyticScalarField.

Reimplemented in SimplexTurbulence.