TreeTriangle Class Reference

Triangle skeletal element. More...

#include <blobtree.h>

Inheritance diagram for TreeTriangle:

Public Member Functions
	TreeTriangle (const Vector &, const Vector &, const Vector &, BlendCompact *)
	Creates a triangle skeletal element.
virtual	~TreeTriangle ()
	Destroy a triangle element.
virtual TreeNode *	Copy () const
	Deep copy.
int	Memory () const
	Compute the size of a node.
double	Intensity (const Vector &) const
	Computes the field function value at a given point in space.
double	Omega (const Vector &) const
	Return the squared distance to the compact support of the node.
Public Member Functions inherited from TreeNormal
	TreeNormal (BlendCompact *=nullptr)
	Creates a skeletal element given a blending function.
virtual	~TreeNormal ()
	Destroys a skeletal element.
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 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.
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 Member Functions
Vector	Normal (const Vector &) const
	This function computes the vector distance between the triangle and a point in space.
double	R (const Vector &) const
	Compute the squared distance to the triangle skeleton.

Protected Attributes
Vector	normal
	Normal of the triangle.
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

Triangle skeletal element.

The implementation is an optimized version of the general implementation of TreePolytope.

Example of how to code a triangle primitive:

TreeNode *triangle=new TreeTriangle(Vector(-1,-2,-1),Vector(1,1,1),Vector(0,1,0),new BlendCubic(2.0,1.0));

Constructor & Destructor Documentation

TreeTriangle()

TreeTriangle::TreeTriangle	(	const Vector &	a,
		const Vector &	b,
		const Vector &	c,
		BlendCompact *	blend )

Creates a triangle skeletal element.

Parameters

a,b,c	Vertices of the triangle
blend	Falloff function.

Member Function Documentation

Intensity()

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

virtual

Computes the field function value at a given point in space.

Parameters

p

Point.

Reimplemented from TreeNormal.

Omega()

double TreeTriangle::Omega ( const Vector & p ) const

virtual

Return the squared distance to the compact support of the node.

Parameters

p

Point.

Reimplemented from TreeNode.

Normal()

Vector TreeTriangle::Normal ( const Vector & p ) const

protectedvirtual

This function computes the vector distance between the triangle and a point in space.

Basically it analyses the location of the point againt the Voronoi diagram of the polygon, and projects it to derive the right vector distance.

Parameters

p

Point.

Implements TreeNormal.

R()

double TreeTriangle::R ( const Vector & p ) const

protectedvirtual

Compute the squared distance to the triangle skeleton.

This function is an optimized version of Triangle::R(const Vector&) const and uses internal pre-computed members to speed-up computations.

Parameters

p

Point.

See also

Triangle::R(const Vector&) const.

Reimplemented from TreeNormal.