Translation operator in the BlobTree. More...

#include <blobtree.h>

Inheritance diagram for TreeTranslate:

Public Member Functions
	TreeTranslate (TreeNode *=nullptr, const Vector &=Vector::Null)
	Creates a frame node in the tree structure. More...

virtual	~TreeTranslate ()
	Destroy a frame node in the tree. More...

double	Intensity (const Vector &) const
	Returns the intensity computed by the child node after transforming the point into local space. More...

Vector	Gradient (const Vector &) const
	Returns the transformed gradient computed by the child node after framing the point into local space. More...

virtual TreeNode *	Copy () const
	Creates a deep copy of the frame node.

TreeNode *	Cut (const Box &) const
	Cuts the sub-tree to simplify its structure inside a box. More...

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

virtual double	K () const
	Returns the Lipschitz constant of a frame node.

virtual double	K (const Box &) const
	Computes the Lipschitz constant within an argument box. More...

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

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

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

virtual double	K (const Ray &) const
	Computes the Lipschitz constant of the frame node intersecting a ray.

Color	GetMaterial (const Vector &, const Vector &=Vector::Null) const
	Compute the texture parameters. More...

virtual TreeNode *	Translate (const Vector &)
	Translate the node in the BlobTree. More...

Public Member Functions inherited from TreeWarp
	TreeWarp (TreeNode *=nullptr)
	Create a warping node. More...

virtual	~TreeWarp ()
	Recursively destroys the structure. More...

Public Member Functions inherited from TreeUnary
	TreeUnary (TreeNode *)
	Create a generic warping node. More...

virtual	~TreeUnary ()
	Recursively destroys the structure.

virtual int	Nodes () const
	Compute the number of nodes of the sub-tree. More...

virtual int	Depth () const
	Compute the dpeth of the sub-tree. More...

virtual void	SetThreshold (const double &)
	Recursively setup the threshold value. More...

Public Member Functions inherited from TreeOperator
	TreeOperator ()
	Creates an operator node.

virtual	~TreeOperator ()
	Destroys an operator.

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 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 *	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 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
Vector	t
	Translation vector.

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

Translation operator in the BlobTree.

Translations are very specific affine transformations with very simple and efficient code.

Example of how to code a frame node:

TreeNode *element=new TreeNodeEdge(Vector(1,0,-1),Vector(1,0,1),new BlendCubic(2.0,1.0));

TreeNode *framed=new TreeTranslate(element,Vector(2.0,1.0,4.0));

BlendCubic

Normalized blending functions (1-r2)3.

Definition: blend.h:114

TreeNode

The generic nodes with some pure virtual functions.

Definition: blobtree.h:27

TreeTranslate::TreeTranslate

TreeTranslate(TreeNode *=nullptr, const Vector &=Vector::Null)

Creates a frame node in the tree structure.

Definition: treetranslation.cpp:29

Vector

,

Constructor & Destructor Documentation

◆ TreeTranslate()

TreeTranslate::TreeTranslate	(	TreeNode *	node = `nullptr`,
		const Vector &	t = `Vector::Null`
	)

explicit

Creates a frame node in the tree structure.

This constructor computes the spectral norm of the transformation to update the Lipschitz constant.

Parameters

node	Sub-tree.
t	Translation vector.

◆ ~TreeTranslate()

TreeTranslate::~TreeTranslate ( )

virtual

Destroy a frame node in the tree.

Implicitly calls the destructor TreeWarp::TreeWarp() that recursively destroys its child node.

Member Function Documentation

◆ Cut()

TreeNode * TreeTranslate::Cut ( const Box & b ) const

virtual

Cuts the sub-tree to simplify its structure inside a box.

Parameters

b The box.

Implements TreeNode.

◆ GetMaterial()

Color TreeTranslate::GetMaterial	(	const Vector &	p,
		const Vector &	n = `Vector::Null`
	)		const

virtual

Compute the texture parameters.

Simply transforms the point into the local frame, and compute the texture descending into the tree recursively.

Parameters

p	Point.
n	Normal.

Implements TreeWarp.

◆ Gradient()

Vector TreeTranslate::Gradient ( const Vector & p ) const

virtual

Returns the transformed gradient computed by the child node after framing the point into local space.

Parameters

p Point.

Reimplemented from TreeNode.

◆ Intensity()

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

virtual

Returns the intensity computed by the child node after transforming the point into local space.

Parameters

p Point.

Implements TreeNode.

◆ K() [1/4]

double TreeTranslate::K ( const Box & b ) const

virtual

Computes the Lipschitz constant within an argument box.

Basically tests if the argument box intersects the box of the node, and returns the Lipchitz constant of the tree structure times the maximem eigenvalue of the inverse matrix frame if intersection occurs.

Implements TreeNode.

◆ K() [2/4]

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

virtual

Compute the Lipschitz constant along a segment.

Parameters

raystep The segment.

Reimplemented from TreeNode.

◆ K() [3/4]

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

virtual

Compute the Lipschitz constant along a segment.

Parameters

s	The segment.

Reimplemented from TreeNode.

◆ K() [4/4]

double TreeTranslate::K ( const Sphere & s ) const

virtual

Compute the Lipschitz constant in a sphere.

Parameters

s	The sphere.

Reimplemented from TreeNode.

◆ Translate()

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

virtual

Translate the node in the BlobTree.

Instead of inserting a translation node in the tree, simply updates the translation vector of the node.

Parameters

t	Translation vector.

Reimplemented from TreeNode.

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TreeTranslate()

◆ ~TreeTranslate()

Member Function Documentation

◆ Cut()

◆ GetMaterial()

◆ Gradient()

◆ Intensity()

◆ K() [1/4]

◆ K() [2/4]

◆ K() [3/4]

◆ K() [4/4]

◆ Translate()