TreeSphere Class Reference

Sphere primitive. More...

#include <blobtree.h>

Inheritance diagram for TreeSphere:

Public Member Functions
	TreeSphere (const Vector &, const double &, BlendCompact *)
	Create a sphere skeleton element.
	TreeSphere (const double &, BlendCompact *)
	Create a sphere skeleton element, centered at origin.
virtual	~TreeSphere ()
	Destroys a sphere element.
double	Intensity (const Vector &) const
	Compute the intensity at a given point.
double	Omega (const Vector &) const
virtual TreeNode *	Copy () const
	Create a deep copy of sphere element.
int	Memory () const
	Compute the size of a node.
double	K (const Ray &) const
	Returns a local Lipschitz constant along a ray.
double	K (const RayStep &) const
	Compute the Lipschitz constant on a segment.
double	K (const Segment &) const
	Compute the Lipschitz constant on a segment.
TreeNode *	Translate (const Vector &)
	Translates a sphere primitive.
TreeNode *	Rotate (const Matrix &)
	Rotates a sphere element.
TreeNode *	Scale (const double &)
	Scale a sphere primitive.
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 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.
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 *	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 QString	Show (int=0) const
	Show the tree hierarchy.
virtual Vector	Dichotomy (Vector, Vector, double, double, double, const double &=1.0e-4)
	Compute the intersection between the implicit surface and a segment.

Protected Member Functions
Vector	Normal (const Vector &) const
	Computes the normal vector between a point and the sphere.

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

Sphere primitive.

Spheres differ from vertex elements as the field function inside the sphere is constant, whereas vertex elements have a varying field function everywhere.

Example of how to code a sphere primitive:

TreeNode *sphere=new TreeSphere(Vector(1,0,-2),4.0,new BlendCubic(2.0,1.0));

,

Constructor & Destructor Documentation

TreeSphere() [1/2]

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

explicit

Create a sphere skeleton element.

Parameters

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

TreeSphere() [2/2]

TreeSphere::TreeSphere ( const double & r, BlendCompact * blend )

explicit

Create a sphere skeleton element, centered at origin.

Parameters

r	Radius.
blend	Falloff function.

Member Function Documentation

Intensity()

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

virtual

Compute the intensity at a given point.

Parameters

p

Point.

Reimplemented from TreeNormal.

Omega()

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

virtual

Reimplemented from TreeNode.

K() [1/3]

double TreeSphere::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() [2/3]

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

virtual

Compute the Lipschitz constant on a segment.

Parameters

raystep

Segment.

Reimplemented from TreeNormal.

K() [3/3]

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

virtual

Compute the Lipschitz constant on a segment.

Parameters

s

Segment.

Reimplemented from TreeNormal.

Translate()

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

virtual

Translates a sphere primitive.

Parameters

t	Translation vector.

Reimplemented from TreeNode.

Rotate()

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

virtual

Rotates a sphere element.

Instead of inserting a rotation node in the tree, simply updates the center of the sphere.

Parameters

r	Rotation matrix.

Reimplemented from TreeNode.

Scale()

TreeNode * TreeSphere::Scale

(

const double &

s

)

Scale a sphere primitive.

Parameters

s	Scaling factor.

Normal()

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

protectedvirtual

Computes the normal vector between a point and the sphere.

This function calls Sphere::Normal();

Parameters

p

Point.

Implements TreeNormal.