Transformations such as rotations, scalings and translations embedded in a frame node. More...

#include <blobtree.h>

Inheritance diagram for TreeFrame:

Public Member Functions
	TreeFrame (TreeNode *=nullptr, const Frame &=Frame::Id)
	Creates a frame node in the tree structure. More...

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

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

virtual 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.

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

virtual double	K () const
	Compute the Lipschitz constant of the node. More...

virtual double	K (const Box &) const
	Compute the local Lipschitz constant in a box. More...

virtual double	K (const Sphere &) const
	Computes the Lipschitz constant within a sphere. More...

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

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

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

TreeNode *	Cut (const Box &) const
	Cuts the node to simplify its structure inside a box. 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 *	Translate (const Vector &)
	Insert a translation node. More...

virtual TreeNode *	Rotate (const Matrix &)
	Insert a rotation node. More...

virtual TreeNode *	Scale (const Vector &)
	Insert a scaling node. More...

virtual double	K (const RayStep &) const
	Compute the Lipschitz constant along an optimized ray-stepping segment. 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
Frame	frame
	Frame.

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

Transformations such as rotations, scalings and translations embedded in a frame node.

As frame transformations are affine, the Lipschitz constant can be easily derived from the eighenvalues of the transformation matrix.

Frame nodes change the whole geometry of their children nodes. Note that frame nodes are completely different than TreeAlpha nodes that scale the field function instead of the geometry.

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 TreeFrame(element,Frame::Scale(Vector(2.0,1.0,4.0)));

BlendCubic

Normalized blending functions (1-r2)3.

Definition: blend.h:114

TreeFrame::TreeFrame

TreeFrame(TreeNode *=nullptr, const Frame &=Frame::Id)

Creates a frame node in the tree structure.

Definition: treeframe.cpp:33

TreeNode

The generic nodes with some pure virtual functions.

Definition: blobtree.h:27

Vector

,

Constructor & Destructor Documentation

◆ TreeFrame()

TreeFrame::TreeFrame	(	TreeNode *	node = `nullptr`,
		const Frame &	frame = `Frame::Id`
	)

explicit

Creates a frame node in the tree structure.

Parameters

node	The sub-tree.
frame	The transformation.

◆ ~TreeFrame()

TreeFrame::~TreeFrame ( )

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 * TreeFrame::Cut ( const Box & b ) const

virtual

Cuts the node to simplify its structure inside a box.

Parameters

b The box.

Implements TreeNode.

◆ GetMaterial()

Color TreeFrame::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 TreeFrame::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 TreeFrame::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() [1/5]

double TreeFrame::K ( ) const

virtual

Compute the Lipschitz constant of the node.

Implements TreeNode.

◆ K() [2/5]

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

virtual

Compute the local Lipschitz constant in a box.

Checks if the argument box intersects the box of the node, and returns the Lipchitz constant of the tree structure (should be times the maximum eigenvalue of the inverse matrix, but since we are dealing with rotation and translation only, this is 1) if intersection occurs.

Implements TreeNode.

◆ K() [3/5]

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

virtual

Computes the Lipschitz constant of the frame node intersecting a ray.

Parameters

ray The ray.

Implements TreeNode.

◆ K() [4/5]

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

virtual

Computes the Lipschitz constant of the node intersecting a segment.

Parameters

s	The segment.

Reimplemented from TreeNode.

◆ K() [5/5]

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

virtual

Computes the Lipschitz constant within a sphere.

See also: TreeFrame::K(const Box& b) const

Parameters

s Sphere.

Reimplemented from TreeNode.

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TreeFrame()

◆ ~TreeFrame()

Member Function Documentation

◆ Cut()

◆ GetMaterial()

◆ Gradient()

◆ Intensity()

◆ K() [1/5]

◆ K() [2/5]

◆ K() [3/5]

◆ K() [4/5]

◆ K() [5/5]