Blob 1.0
TreeCircleArc Class Reference

A circle arc skeletal element. More...

#include <blobtree.h>

Inheritance diagram for TreeCircleArc:
TreeNormal CircleArc TreeElement Circle TreeNode

Public Member Functions

 TreeCircleArc (const Vector &, const Vector &, const Vector &, BlendCompact *)
 Creates a circular-arc element.
 
 TreeCircleArc (const CircleArc &, BlendCompact *)
 Creates a circular-arc element.
 
virtual ~TreeCircleArc ()
 Destroys a circle primitive.
 
virtual TreeNodeCopy () const
 Creates a deep copy of a circle primitive.
 
int Memory () const
 Compute the size of a node.
 
double Intensity (const Vector &) const
 Computes the intensity at given point in space.
 
- 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.
 
TreeNodeCut (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 TreeNodeBlend (TreeNode *)
 Insert a blending node that blends the old and the new sub-tree together.
 
virtual TreeNodeUnion (TreeNode *)
 Insert a union node that unions the old and the new sub-tree together.
 
virtual TreeNodeDifference (TreeNode *)
 Insert a difference node.
 
virtual TreeNodeTranslate (const Vector &)
 Insert a translation node.
 
virtual TreeNodeRotate (const Matrix &)
 Insert a rotation node.
 
virtual TreeNodeScale (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.
 

Additional Inherited Members

- Protected Attributes inherited from TreeElement
BlendCompactblend = nullptr
 Falloff function.
 
- Protected Attributes inherited from TreeNode
Box box = Box::Null
 Bounding box of the node.
 
double T = 0.5
 Threshold value.
 
- Static Protected Attributes inherited from TreeNode
static const double Epsilon = 1e-6
 Epsilon value for gradient computation.
 

Detailed Description

A circle arc skeletal element.

Example of how to code a circular arc primitive:

TreeNode *arc=new TreeCircleArc(Vector(0.0,0.0,0.0),Vector(1.0,-1.0,1.0),Vector(0.0,2.0,-1.0),new BlendCubic(2.0,1.0));
Normalized blending functions (1-r2)3.
Definition blend.h:91
TreeCircleArc(const Vector &, const Vector &, const Vector &, BlendCompact *)
Creates a circular-arc element.
Definition treecirclearc.cpp:26
The generic nodes with some pure virtual functions.
Definition blobtree.h:28

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Constructor & Destructor Documentation

◆ TreeCircleArc() [1/2]

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

Creates a circular-arc element.

The circular-arc is defined by three vertices that define a circle in the corresponding plane. As there are two possible arcs given three vertices, the arc type is defined by order of vertices which the orientation of the arc.

Parameters
a,b,cThree vertices on the circle defining the circular arc abc.
blendFalloff function.

◆ TreeCircleArc() [2/2]

TreeCircleArc::TreeCircleArc ( const CircleArc & arc,
BlendCompact * blend )

Creates a circular-arc element.

Parameters
arcCircle arc.
blendFalloff function.

Member Function Documentation

◆ Intensity()

double TreeCircleArc::Intensity ( const Vector & p) const
virtual

Computes the intensity at given point in space.

Parameters
pPoint.

Reimplemented from TreeNormal.