Hyper-elliptic blending, which is a generalisation of blending. More...

#include <blobtree.h>

Inheritance diagram for TreeHyperBlend:

Public Member Functions
	TreeHyperBlend (TreeNode , TreeNode , const double &)
	Creates a hyper-elliptic blend. More...

virtual	~TreeHyperBlend ()
	Destroy a hyper-blending node. More...

double	Intensity (const Vector &) const
	Compute the field value. More...

Vector	Gradient (const Vector &) const
	Compute the gradient. More...

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

double	K () const
	Compute the Lipschitz constant of the sub-tree.

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

double	K (const Ray &) const
	Computes the Lipschitz constant of the sub-tree. More...

double	K (const Segment &) const
	Compute the Lipschitz constant of the sub-tree. More...

Color	GetMaterial (const Vector &, const Vector &=Vector::Null) const
	Blend textures using hyper-elliptic blending. More...

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

virtual int	Memory () const
	Compute the size of the sub-tree.

Public Member Functions inherited from TreeBinary
	TreeBinary (TreeNode , TreeNode )
	Creates a union operator node given a small set of children nodes. More...

virtual	~TreeBinary ()
	Destroys an operator, destroying all existing children.

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...

virtual double	K (const Sphere &) const
	Compute the Lipschitz constant in a sphere. 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
double	n
	Hyper-blending parameter.

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

Hyper-elliptic blending, which is a generalisation of blending.

See also: TreeBlend, TreeUnion, TreeBlendSquared ,

Constructor & Destructor Documentation

◆ TreeHyperBlend()

TreeHyperBlend::TreeHyperBlend	(	TreeNode *	a,
		TreeNode *	b,
		const double &	e
	)

explicit

Creates a hyper-elliptic blend.

Parameters

a,b	Children nodes.
e	Exponent.

◆ ~TreeHyperBlend()

TreeHyperBlend::~TreeHyperBlend ( )

virtual

Destroy a hyper-blending node.

Implicitly calls TreeOperator::~TreeOperator().

Member Function Documentation

◆ Cut()

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

virtual

Cuts the node to simplify its structure inside a box.

Parameters

b The box.

Implements TreeNode.

◆ GetMaterial()

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

virtual

Blend textures using hyper-elliptic blending.

Parameters

p	Point.
n	Normal.

Reimplemented from TreeNode.

◆ Gradient()

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

virtual

Compute the gradient.

Parameters

p Point.

Reimplemented from TreeNode.

◆ Intensity()

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

virtual

Compute the field value.

Parameters

p Point.

Implements TreeNode.

◆ K() [1/3]

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

virtual

Compute the local Lipschitz constant in a box.

Implements TreeNode.

◆ K() [2/3]

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

virtual

Computes the Lipschitz constant of the sub-tree.

Parameters

ray The ray.

Implements TreeNode.

◆ K() [3/3]

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

virtual

Compute the Lipschitz constant of the sub-tree.

Parameters

s	The segment.

Reimplemented from TreeNode.

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TreeHyperBlend()

◆ ~TreeHyperBlend()

Member Function Documentation

◆ Cut()

◆ GetMaterial()

◆ Gradient()

◆ Intensity()

◆ K() [1/3]

◆ K() [2/3]

◆ K() [3/3]