AnalyticScalarField2 Class Reference

A core analytic two-dimensional scalar field. More...

#include <scalarfield.h>

Inheritance diagram for AnalyticScalarField2:

Public Member Functions
	AnalyticScalarField2 (bool=true)
	Constructor.
virtual double	Value (const Vector2 &) const
	Compute the value of the field.
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.
virtual ScalarField2	Sample (const Array2 &) const
	Create a discrete scalar field by sampling a given domain.
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 Member Functions
Matrix	Local (const Vector2 &) const
	Compute the local neighborhood in the one-ring aroung a point.

Protected Attributes
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 double	epsilon = 1e-6
	\epsilon; value for partial derivatives

Detailed Description

A core analytic two-dimensional scalar field.

Constructor & Destructor Documentation

AnalyticScalarField2()

AnalyticScalarField2::AnalyticScalarField2 ( bool s = true )

inline

Constructor.

Parameters

s	Sign, by default set sign convention to true, i.e., negative values inside and positive outside.

Member Function Documentation

Curvature()

void AnalyticScalarField2::Curvature	(	const Vector2 &	p,
		double &	gaussian,
		double &	mean ) const

Compute the gaussian and mean curvatures.

Parameters

p	Point.
gaussian	Returned gaussian curvature.
mean	Returned mean curvature.

Gradient()

Vector2 AnalyticScalarField2::Gradient ( const Vector2 & p ) const

virtual

Compute the gradient of the field.

Parameters

p

Point.

Hessian()

Matrix2 AnalyticScalarField2::Hessian ( const Vector2 & p ) const

virtual

Compute the hessian at a given point.

Parameters

p

Point.

Inside()

bool AnalyticScalarField2::Inside ( const double & v ) const

inline

Check if the value is considered as inside or outside.

Result depend on the sign definition of the implicit surface.

Parameters

v

Value.

Local()

Matrix AnalyticScalarField2::Local ( const Vector2 & p ) const

protected

Compute the local neighborhood in the one-ring aroung a point.

Parameters

p

Point.

Sample()

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

virtual

Create a discrete scalar field by sampling a given domain.

Parameters

a

Domain.

Reimplemented in ExponentialSimplexNoise, NoiseTurbulence2, and SimplexTurbulence2.

Value()

double AnalyticScalarField2::Value ( const Vector2 & p ) const

virtual

Compute the value of the field.

Parameters

p

Point.

Reimplemented in CellularTurbulence2, ExponentialSimplexNoise, GaborNoise, Noise2, NoiseTurbulence2, SimplexNoise2, SimplexTurbulence2, TurbulenceWormNoise, and WormNoise.