Scaling nodes in the BlobTree. More...

#include <blobtree.h>

Inheritance diagram for TreeScale:

Public Member Functions
	TreeScale (TreeNode *, const Vector &)
	Creates a scaling node in the tree structure.

	TreeScale (TreeNode *, const double &)
	Creates a scaling node in the tree structure.

virtual	~TreeScale ()
	Destroy a scaling node in the tree.

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

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

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

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

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

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

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

virtual double	K (const Segment &) const
	Computes the Lipschitz constant of the scale node over a segment.

virtual double	K (const RayStep &) const
	Computes the Lipschitz constant of the scale node over a segment.

virtual double	K (const Sphere &) const
	Computes the Lipschitz constant of the scale node in a sphere.

Color	GetMaterial (const Vector &, const Vector &=Vector::Null) const
	Compute the surface parameters at a given point of space.

TreeNode *	Cut (const Box &) const
	Cuts the node to simplify its structure inside a box.

virtual TreeNode *	Scale (const Vector &)
	Scales the node in the BlobTree.

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

virtual	~TreeWarp ()
	Recursively destroys the structure.

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

virtual	~TreeUnary ()
	Recursively destroys the structure.

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

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 double	Omega (const Vector &) const
	Return the squared distance to the compact support of the node.

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

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.

Box	GetBox () const
	Return the bounding box of the node.

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 Attributes
Vector	s
	Scaling vector.

double	a
	Lipschitz factor.

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

Scaling nodes in the BlobTree.

Scaling nodes are very specific affine transformations with very simple and efficient code.

Example of how to code a scaling node:

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

TreeNode *scaled=new TreeScale(element,Vector(2.0,1.0,4.0));

BlendCubic

Normalized blending functions (1-r2)3.

Definition blend.h:91

TreeNode

The generic nodes with some pure virtual functions.

Definition blobtree.h:28

TreeScale::TreeScale

TreeScale(TreeNode *, const Vector &)

Creates a scaling node in the tree structure.

Definition treescale.cpp:26

Vector

,

Constructor & Destructor Documentation

◆ TreeScale() [1/2]

TreeScale::TreeScale	(	TreeNode *	node,
		const Vector &	u )

explicit

Creates a scaling node in the tree structure.

Parameters

node	Child node.
u	Scaling vector.

◆ TreeScale() [2/2]

TreeScale::TreeScale	(	TreeNode *	node,
		const double &	u )

explicit

Creates a scaling node in the tree structure.

Parameters

node	Child node.
u	Scaling coefficient.

◆ ~TreeScale()

TreeScale::~TreeScale ( )

virtual

Destroy a scaling node in the tree.

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

Member Function Documentation

◆ Intensity()

double TreeScale::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.

◆ Gradient()

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

virtual

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

Parameters

p Point.

Reimplemented from TreeNode.

◆ K() [1/5]

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

virtual

Computes the Lipschitz constant within an argument box.

Tests if the argument box intersects the box of the node, and returns the Lipchitz constant of the tree structure times the maximum inverse scaling coefficient if intersection occurs.

Parameters

b The box.

Implements TreeNode.

◆ K() [2/5]

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

virtual

Computes the Lipschitz constant of the scale node if intersecting a ray.

Parameters

ray The ray.

Implements TreeNode.

◆ K() [3/5]

double TreeScale::K ( const Segment & segment ) const

virtual

Computes the Lipschitz constant of the scale node over a segment.

Parameters

segment The segment.

Reimplemented from TreeNode.

◆ K() [4/5]

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

virtual

Computes the Lipschitz constant of the scale node over a segment.

Parameters

raystep The segment.

Reimplemented from TreeNode.

◆ K() [5/5]

double TreeScale::K ( const Sphere & sphere ) const

virtual

Computes the Lipschitz constant of the scale node in a sphere.

Parameters

sphere The Sphere.

Reimplemented from TreeNode.

◆ GetMaterial()

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

virtual

Compute the surface parameters at a given point of space.

Parameters

p	Point in space.
n	Normal.

Implements TreeWarp.

◆ Cut()

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

virtual

Cuts the node to simplify its structure inside a box.

Parameters

b The box.

Implements TreeNode.

◆ Scale()

TreeNode * TreeScale::Scale ( const Vector & u )

virtual

Scales the node in the BlobTree.

Instead of inserting a scaling node in the tree, simply updates the scaling node with the given scaling vector.

Parameters

u	Scaling vector.

Reimplemented from TreeNode.

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TreeScale() [1/2]

◆ TreeScale() [2/2]

◆ ~TreeScale()

Member Function Documentation

◆ Intensity()

◆ Gradient()

◆ K() [1/5]

◆ K() [2/5]

◆ K() [3/5]

◆ K() [4/5]

◆ K() [5/5]

◆ GetMaterial()

◆ Cut()

◆ Scale()