TreeNoiseSphere Class Reference

Noise inside a sphere primitive. More...

#include <blobtree.h>

Inheritance diagram for TreeNoiseSphere:

Public Member Functions
	TreeNoiseSphere (const Vector &, const double &, const double &, BlendCompact *)
	Create a sphere element with noise. More...
virtual	~TreeNoiseSphere ()
	Empty.
double	Intensity (const Vector &) const
	Compute the field function value at a given point in space.
double	K () const
	Returns the Lipschitz constant of the element. More...
double	K (const Ray &) const
	Returns a local Lipschitz constant along a ray. More...
double	K (const Segment &) const
	Returns a local Lipschitz constant along a segment. More...
double	K (const RayStep &) const
	Compute the Lipschitz constant along an optimized ray-stepping segment. More...
virtual TreeNode *	Copy () const
	Create a deep copy of the element.
int	Memory () const
	Compute the size of a node.
Public Member Functions inherited from TreeElement
	TreeElement (BlendCompact *=nullptr)
	Creates a new element given a blending function.
virtual	~TreeElement ()
	Destroys an element. More...
double	K (const Box &) const
	Returns a local Lipschitz constant within a box domain. More...
double	K (const Sphere &) const
	Returns a local Lipschitz constant in a sphere. More...
TreeNode *	Cut (const Box &) const
	Cuts the node to simplify its structure inside a box. More...
Public Member Functions inherited from TreeNode
	TreeNode ()
	Create a virtual node of the Blob-Tree structure.
virtual	~TreeNode ()
	Destroys a node.
virtual void	IntensityGradient (const Vector &, double &, Vector &) const
	Computes the field value and the gradient at a given point in space. More...
virtual Vector	Gradient (const Vector &) const
	Computes the gradient of the field function at a given point in space. More...
virtual TreeNode *	Blend (TreeNode *)
	Insert a blending node that blends the old and the new sub-tree together. More...
virtual TreeNode *	Union (TreeNode *)
	Insert a union node that unions the old and the new sub-tree together. More...
virtual TreeNode *	Difference (TreeNode *)
	Insert a difference node. More...
virtual TreeNode *	Translate (const Vector &)
	Insert a translation node. More...
virtual TreeNode *	Rotate (const Matrix &)
	Insert a rotation node. More...
virtual TreeNode *	Scale (const Vector &)
	Insert a scaling node. More...
Box	GetBox () const
	Return the bounding box of the node.
virtual void	SetThreshold (const double &)
	Set the threshold value. More...
virtual Color	GetMaterial (const Vector &, const Vector &=Vector::Null) const
	Gets the color of a node at a point. More...
virtual int	Nodes () const
	Compute the number of nodes of the sub-tree.
virtual int	Depth () const
	Compute the dpeth of the sub-tree.
virtual Vector	Dichotomy (Vector, Vector, double, double, double, const double &=1.0e-4)
	Compute the intersection between the implicit surface and a segment. More...

Protected Attributes
Sphere	s
	Sphere shape.
double	a
	Uniform scale in space (frequency).
Protected Attributes inherited from TreeNode
Box	box = Box::Null
	Bounding box of the node.
double	T = 0.5
	Threshold value.

Additional Inherited Members
Static Protected Attributes inherited from TreeNode
static const double	Epsilon = 1e-6
	Epsilon value for gradient computation.

Detailed Description

Noise inside a sphere primitive.

The sphere primitive provides a compact support for the noise.

Constructor & Destructor Documentation

TreeNoiseSphere()

TreeNoiseSphere::TreeNoiseSphere ( const Vector &  c, const double &  r, const double &  a, BlendCompact *  blend  )

explicit

Create a sphere element with noise.

Parameters

c	Center of the sphere.
r	Radius.
a	Scaling factor of the noise (frequency).
blend	Falloff function.

Member Function Documentation

K() [1/4]

double TreeNoiseSphere::K ( ) const

virtual

Returns the Lipschitz constant of the element.

Basically returns the Lipschitz constant of the potential function.

Reimplemented from TreeElement.

K() [2/4]

double TreeNoiseSphere::K ( const Ray &  ray ) const

virtual

Returns a local Lipschitz constant along a ray.

Returns the Lipschitz constant of the element if argument ray intersects the element's bounding box.

Parameters

ray

The ray.

Reimplemented from TreeElement.

K() [3/4]

double TreeNoiseSphere::K ( const RayStep &  raystep ) const

virtual

Compute the Lipschitz constant along an optimized ray-stepping segment.

By default return the Lipchitz constant of the segment, i.e. do not use optimized algorithms with pre-computed data in RayStep.

Parameters

raystep

The step.

Reimplemented from TreeNode.

K() [4/4]

double TreeNoiseSphere::K ( const Segment &  s ) const

virtual

Returns a local Lipschitz constant along a segment.

Returns the Lipschitz constant of the element if segment intersects the element's bounding box.

Parameters

s

Segment.

Reimplemented from TreeElement.