TreeTorus Class Reference

Torus primitive, which generates a thick torus. More...

#include <blobtree.h>

Inheritance diagram for TreeTorus:

Public Member Functions
	TreeTorus (const Vector &, const Vector &, const double &, const double &, BlendCompact *)
	Create a torus element.
	TreeTorus (const double &, const double &, BlendCompact *)
	Create a torus element.
virtual	~TreeTorus ()
	Destroys a torus primitive.
virtual TreeNode *	Copy () const
	Creates a deep copy of a circle primitive.
int	Memory () const
	Compute the size of a node.
double	Intensity (const Vector &) const
	Computes the intensity at given point in space.
double	Omega (const Vector &) const
	Return the squared distance to the compact support of the node.
virtual QString	Show (int=0) const
	Show the tree hierarchy.
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.
virtual Vector	Gradient (const Vector &) const
	Compute the gradient at a given point.
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.
virtual double	K (const Segment &) const
	Compute the Lipschitz constant on a segment.
virtual double	K (const RayStep &) const
	Compute the Lipschitz constant on a segment.
virtual double	K (const Sphere &) const
	Compute the Lipschitz constant inside a sphere.
Public Member Functions inherited from TreeElement
	TreeElement (BlendCompact *=nullptr)
	Creates a new element given a blending function.
virtual	~TreeElement ()
	Destroys an element.
double	K () const
	Returns the Lipschitz constant of the element.
double	K (const Box &) const
	Returns a local Lipschitz constant within a box domain.
double	K (const Ray &) const
	Returns a local Lipschitz constant along a ray.
TreeNode *	Cut (const Box &) const
	Cuts the node to simplify its structure inside a box.
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.
virtual TreeNode *	Union (TreeNode *)
	Insert a union node that unions the old and the new sub-tree together.
virtual TreeNode *	Difference (TreeNode *)
	Insert a difference node.
virtual TreeNode *	Translate (const Vector &)
	Insert a translation node.
virtual TreeNode *	Rotate (const Matrix &)
	Insert a rotation node.
virtual TreeNode *	Scale (const Vector &)
	Insert a scaling node.
Box	GetBox () const
	Return the bounding box of the node.
virtual void	SetThreshold (const double &)
	Set the threshold value.
virtual Color	GetMaterial (const Vector &, const Vector &=Vector::Null) const
	Gets the color of a node at a point.
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.

Additional Inherited Members
Protected Attributes inherited from TreeElement
BlendCompact *	blend = nullptr
	Falloff function.
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

Torus primitive, which generates a thick torus.

Contrary to TreeCircle, the field is constant within the volume of the torus. Note that using this class is the same as using a TreeCircle primitive with a BlendR potential function.

Example of how to code a torus primitive:

TreeNode *torus=new TreeTorus(Vector(0.0),Vector(1.0,-1.0,1.0),4.0,1.0,new BlendCubic(2.0,1.0));

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Constructor & Destructor Documentation

TreeTorus() [1/2]

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

Create a torus element.

Parameters

c	Center of the torus.
a	Axis of the torus (will be normalized internally).
r	Major radius.
s	Minor radius.
blend	Falloff function

TreeTorus() [2/2]

TreeTorus::TreeTorus	(	const double &	r,
		const double &	s,
		BlendCompact *	blend )

Create a torus element.

Parameters

r	Major radius.
s	Minor radius.
blend	Falloff function

Member Function Documentation

Intensity()

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

virtual

Computes the intensity at given point in space.

Parameters

p

Point.

Reimplemented from TreeNormal.

Omega()

double TreeTorus::Omega ( const Vector & p ) const

virtual

Return the squared distance to the compact support of the node.

Parameters

p

Point.

Reimplemented from TreeNode.

Show()

QString TreeTorus::Show ( int space = 0 ) const

virtual

Show the tree hierarchy.

Parameters

space

Number of spaces.

Reimplemented from TreeNode.