Hollow sphere primitive. More...

#include <blobtree.h>

Inheritance diagram for TreeBubble:

Public Member Functions
	TreeBubble (const Vector &, const double &r, BlendCompact *)
	Create a hollow sphere skeletal element. More...

virtual	~TreeBubble ()
	Destroys a bubble element.

double	Intensity (const Vector &) const
	Compute the intensity at a given point. More...

virtual TreeNode *	Copy () const
	Create a deep copy of sphere element.

int	Memory () const
	Compute the size of a node.

TreeNode *	Translate (const Vector &)
	Translate a buble node. More...

TreeNode *	Rotate (const Matrix &)
	Rotates a hollow sphere element. More...

Public Member Functions inherited from TreeSphere
	TreeSphere (const Vector &, const double &, BlendCompact *)
	Create a sphere skeleton element. More...

virtual	~TreeSphere ()
	Destroys a sphere element.

double	K (const Ray &) const
	Returns a local Lipschitz constant along a ray. More...

double	K (const RayStep &) const
	Compute the Lipschitz constant on a segment. More...

double	K (const Segment &) const
	Compute the Lipschitz constant on a segment. More...

TreeNode *	Scale (const double &)
	Scale a sphere primitive. More...

Public Member Functions inherited from TreeNormal
	TreeNormal (BlendCompact *=nullptr)
	Creates a skeletal element given a blending function.

virtual	~TreeNormal ()
	Destroys a skeletal element.

virtual double	R (const Vector &) const
	Computes the squared Euclidean distance to the skeleton. More...

virtual Vector	Gradient (const Vector &) const
	Compute the gradient at a given point. More...

virtual void	IntensityGradient (const Vector &, double &, Vector &) const
	Compute the field value and the gradient of the field function at a given point in space. More...

virtual double	K (const Sphere &) const
	Compute the Lipschitz constant inside a sphere. More...

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
	Returns the Lipschitz constant of the element. More...

double	K (const Box &) const
	Returns a local Lipschitz constant within a box domain. 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 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 *	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 Member Functions
Vector	Normal (const Vector &) const
	Computes the normal vector between a point and the bubble. More...

Additional Inherited Members
Protected Attributes inherited from TreeNode
Box	box = Box::Null
	Bounding box of the node.

double	T = 0.5
	Threshold value.

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

Detailed Description

Hollow sphere primitive.

Bubbles are hollow spheres, thus surfacic skeletal primitives. Contrary to vertex elements whose field function varies everywhere in space and contrary to sphere elements whose field function is maximum inside the sphere, the field function inside the bubble is null.

Example of how to code a sphere primitive:

TreeNode *bubble=new TreeBubble(Vector(1,0,-2),6.0,new BlendCubic(2.0,1.0));

BlendCubic

Normalized blending functions (1-r2)3.

Definition: blend.h:114

TreeBubble::TreeBubble

TreeBubble(const Vector &, const double &r, BlendCompact *)

Create a hollow sphere skeletal element.

Definition: treebubble.cpp:27

TreeNode

The generic nodes with some pure virtual functions.

Definition: blobtree.h:27

Vector

,

Constructor & Destructor Documentation

◆ TreeBubble()

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

explicit

Create a hollow sphere skeletal element.

Parameters

c	Center of the sphere.
r	Radius.
blend	Falloff function.

Member Function Documentation

◆ Intensity()

double TreeBubble::Intensity ( const Vector & p ) const

virtual

Compute the intensity at a given point.

Parameters

p Point.

Reimplemented from TreeSphere.

◆ Normal()

Vector TreeBubble::Normal ( const Vector & p ) const

protectedvirtual

Computes the normal vector between a point and the bubble.

Parameters

p Point.

Reimplemented from TreeSphere.

◆ Rotate()

TreeNode * TreeBubble::Rotate ( const Matrix & r )

virtual

Rotates a hollow sphere element.

Instead of inserting a rotation node in the tree, simply updates the center of the sphere as well as its internal parameters.

Parameters

r	Rotation matrix.

Reimplemented from TreeSphere.

◆ Translate()

TreeNode * TreeBubble::Translate ( const Vector & t )

virtual

Translate a buble node.

Parameters

t	Translation vector.

Reimplemented from TreeSphere.

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TreeBubble()

Member Function Documentation

◆ Intensity()

◆ Normal()

◆ Rotate()

◆ Translate()