TreeCubic Class Reference

Surface of revolution with a cubic polynomial profile curve. More...

#include <blobtree.h>

Inheritance diagram for TreeCubic:

Public Member Functions
	TreeCubic (const Vector &, const Vector &, const Cubic &, const Cubic &, BlendCompact *)
	Creates a surface of revolution based on a cubic parametric profile curve.
virtual	~TreeCubic ()
	Destroys a curve.
virtual TreeNode *	Copy () const
	Creates a deep copy of curve element.
int	Memory () const
	Compute the size of a node.
TreeNode *	Translate (const Vector &)
	Translate the primitive.
TreeNode *	Rotate (const Matrix &)
	Rotates a node in the BlobTree.
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 double	Intensity (const Vector &) const
	Compute the intensity at a given point.
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 Segment &) const
	Compute the Lipschitz constant on a segment.
virtual double	K (const RayStep &) const
	Compute the Lipschitz constant on a segment.
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.
double	K (const Ray &) const
	Returns a local Lipschitz constant along a ray.
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 double	Omega (const Vector &) const
	Return the squared distance to the compact support of the 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 Attributes
Quartic	xy
	Constant coefficients used to speed-up queries.
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.

Additional Inherited Members
Static Protected Attributes inherited from TreeNode
static const double	Epsilon = 1e-6
	Epsilon value for gradient computation.

Detailed Description

Surface of revolution with a cubic polynomial profile curve.

The evaluation of the field function at a given point in space is computationally expensive at the computation of the distance to the skeleton requires finding the roots of a quintic.

See also

TreeQuadric ,

Constructor & Destructor Documentation

TreeCubic()

TreeCubic::TreeCubic ( const Vector & a, const Vector & b, const Cubic & x, const Cubic & y, BlendCompact * blend )

explicit

Creates a surface of revolution based on a cubic parametric profile curve.

Parameters

a,b	Axis vertices
x,y	Parametric equation of the cubic profile curve.
blend	Falloff function.

Member Function Documentation

Translate()

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

virtual

Translate the primitive.

Parameters

t	Translation vector.

Reimplemented from TreeNode.

Rotate()

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

virtual

Rotates a node in the BlobTree.

Instead of inserting a rotation node in the tree, simply updates the axis of revolution.

Parameters

r	Rotation matrix.

Reimplemented from TreeNode.