BlendCompact Class Reference

Falloff functions with a compact support. More...

#include <blend.h>

Inheritance diagram for BlendCompact:

Public Member Functions
	BlendCompact ()
	Empty.
	BlendCompact (const double &, const double &)
	Stores the radius of influence and the strength (maximum intensity).
virtual	~BlendCompact ()
	Empty.
virtual double	Eval (const double &) const =0
	Evaluate falloff function.
virtual double	Gradient (const double &) const =0
	Evaluate the first derivative of the falloff function.
virtual BlendCompact *	Copy () const =0
	Creates a deep copy of the falloff function.
double	R () const
	Returns the radius of the blend.
double	I () const
	Returns the strength (maximum intensity) of the blend.
virtual double	K () const
	Returns the Lipschitz constant.
virtual double	K (const double &, const double &) const
	Returns the Lipschitz constant of the blend.
virtual double	Radius (const double &) const
	Computes the radius of the blending function given a threshold value.
virtual void	Scale (const double &)
	Scales the radius if the blending function.
virtual void	Alpha (const double &)
	Scales the maximum intensity of the blending function.
virtual int	Memory () const
	Compute the size of a falloff node.

Protected Attributes
double	r = 1.0
	Radius.
double	strength = 1.0
	Strength, i.e., maximum intensity.
double	k = 1.0
	Lipschitz constant.

Detailed Description

Falloff functions with a compact support.

Those potential functions are characterized by a radius of influence and the maximum intensity of the potential function.

Constructor & Destructor Documentation

BlendCompact()

BlendCompact::BlendCompact	(	const double &	r,
		const double &	s )

Stores the radius of influence and the strength (maximum intensity).

Parameters

r	Radius.
s	Strength.

Member Function Documentation

Radius()

double BlendCompact::Radius ( const double & T ) const

virtual

Computes the radius of the blending function given a threshold value.

This function implements a binary search to converge to the root.

Parameters

T	Threshold value.

Reimplemented in BlendCubic, BlendQuadric, and BlendQuartic.

Scale()

void BlendCompact::Scale ( const double & s )

virtual

Scales the radius if the blending function.

This function scales the internal radius, as well as the Lipschitz constant.

Parameters

s	Radius scaling factor.

Alpha()

void BlendCompact::Alpha ( const double & s )

virtual

Scales the maximum intensity of the blending function.

This function scales the internal strength parameter of the blending function radius, as well as the Lipschitz constant.

Parameters

s	Intensity scaling factor.