AnalyticScalarField2 Class Reference

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

#include <scalarfield.h>

Inheritance diagram for AnalyticScalarField2:

Public Member Functions
	AnalyticScalarField2 ()
	Create an analytic scalar field defined over the entire plane.
virtual double	Value (const Vector2 &) const
	Compute the value of the field. More...
virtual Vector2	Gradient (const Vector2 &) const
	Compute the gradient of the field. More...
virtual Matrix2	Hessian (const Vector2 &) const
	Compute the hessian at a given point. More...
virtual ScalarField2	Sample (const Array2 &) const
	Create a discrete scalar field by sampling a given domain. More...
void	Curvature (const Vector2 &, double &, double &) const
	Compute the gaussian and mean curvatures. More...
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. More...

Protected Attributes
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.

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.

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 NoiseTurbulence2, and SimplexTurbulence2.

Value()

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

virtual

Compute the value of the field.

Parameters

p

Point.

Reimplemented in GaborNoise, Noise2, SimplexNoise2, NoiseTurbulence2, SimplexTurbulence2, WormNoise, and Phasor.