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TGraphDelaunay2D Class Reference

TGraphDelaunay2D generates a Delaunay triangulation of a TGraph2D.

This triangulation code derives from an implementation done by Luke Jones (Royal Holloway, University of London) in April 2002 in the PAW context.

This software cannot be guaranteed to work under all circumstances. They were originally written to work with a few hundred points in an XY space with similar X and Y ranges.

Definition of Delaunay triangulation (After B. Delaunay): For a set S of points in the Euclidean plane, the unique triangulation DT(S) of S such that no point in S is inside the circumcircle of any triangle in DT(S). DT(S) is the dual of the Voronoi diagram of S. If n is the number of points in S, the Voronoi diagram of S is the partitioning of the plane containing S points into n convex polygons such that each polygon contains exactly one point and every point in a given polygon is closer to its central point than to any other. A Voronoi diagram is sometimes also known as a Dirichlet tessellation.


This applet gives a nice practical view of Delaunay triangulation and Voronoi diagram.

Definition at line 36 of file TGraphDelaunay2D.h.

Public Types

typedef ROOT::Math::Delaunay2D::Triangles Triangles
 Delaunay interpolator class. More...
- Public Types inherited from TObject
enum  { kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }
enum  { kSingleKey = BIT(0), kOverwrite = BIT(1), kWriteDelete = BIT(2) }
enum  EStatusBits {
  kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = BIT(3), kIsReferenced = BIT(4),
  kHasUUID = BIT(5), kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13)

Public Member Functions

 TGraphDelaunay2D (TGraph2D *g=0)
 TGraphDelaunay2D normal constructor. More...
Triangles::const_iterator begin () const
Double_t ComputeZ (Double_t x, Double_t y)
Triangles::const_iterator end () const
void FindAllTriangles ()
TGraph2DGetGraph2D () const
Double_t GetMarginBinsContent () const
Int_t GetNdt () const
Double_t GetXNmax () const
Double_t GetXNmin () const
Double_t GetYNmax () const
Double_t GetYNmin () const
void SetMarginBinsContent (Double_t z=0.)
- Public Member Functions inherited from TNamed
 TNamed ()
 TNamed (const char *name, const char *title)
 TNamed (const TString &name, const TString &title)
 TNamed (const TNamed &named)
 TNamed copy ctor. More...
virtual ~TNamed ()
virtual void Clear (Option_t *option="")
 Set name and title to empty strings (""). More...
virtual TObjectClone (const char *newname="") const
 Make a clone of an object using the Streamer facility. More...
virtual Int_t Compare (const TObject *obj) const
 Compare two TNamed objects. More...
virtual void Copy (TObject &named) const
 Copy this to obj. More...
virtual void FillBuffer (char *&buffer)
 Encode TNamed into output buffer. More...
virtual const char * GetName () const
 Returns name of object. More...
virtual const char * GetTitle () const
 Returns title of object. More...
virtual ULong_t Hash () const
 Return hash value for this object. More...
virtual Bool_t IsSortable () const
virtual void ls (Option_t *option="") const
 List TNamed name and title. More...
TNamedoperator= (const TNamed &rhs)
 TNamed assignment operator. More...
virtual void Print (Option_t *option="") const
 Print TNamed name and title. More...
virtual void SetName (const char *name)
 Set the name of the TNamed. More...
virtual void SetNameTitle (const char *name, const char *title)
 Set all the TNamed parameters (name and title). More...
virtual void SetTitle (const char *title="")
 Set the title of the TNamed. More...
virtual Int_t Sizeof () const
 Return size of the TNamed part of the TObject. More...
- Public Member Functions inherited from TObject
 TObject ()
 TObject constructor. More...
 TObject (const TObject &object)
 TObject copy ctor. More...
virtual ~TObject ()
 TObject destructor. More...
void AbstractMethod (const char *method) const
 Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...
virtual void AppendPad (Option_t *option="")
 Append graphics object to current pad. More...
virtual void Browse (TBrowser *b)
 Browse object. May be overridden for another default action. More...
virtual const char * ClassName () const
 Returns name of class to which the object belongs. More...
virtual void Delete (Option_t *option="")
 Delete this object. More...
virtual Int_t DistancetoPrimitive (Int_t px, Int_t py)
 Computes distance from point (px,py) to the object. More...
virtual void Draw (Option_t *option="")
 Default Draw method for all objects. More...
virtual void DrawClass () const
 Draw class inheritance tree of the class to which this object belongs. More...
virtual TObjectDrawClone (Option_t *option="") const
 Draw a clone of this object in the current pad. More...
virtual void Dump () const
 Dump contents of object on stdout. More...
virtual void Error (const char *method, const char *msgfmt,...) const
 Issue error message. More...
virtual void Execute (const char *method, const char *params, Int_t *error=0)
 Execute method on this object with the given parameter string, e.g. More...
virtual void Execute (TMethod *method, TObjArray *params, Int_t *error=0)
 Execute method on this object with parameters stored in the TObjArray. More...
virtual void ExecuteEvent (Int_t event, Int_t px, Int_t py)
 Execute action corresponding to an event at (px,py). More...
virtual void Fatal (const char *method, const char *msgfmt,...) const
 Issue fatal error message. More...
virtual TObjectFindObject (const char *name) const
 Must be redefined in derived classes. More...
virtual TObjectFindObject (const TObject *obj) const
 Must be redefined in derived classes. More...
virtual Option_tGetDrawOption () const
 Get option used by the graphics system to draw this object. More...
virtual const char * GetIconName () const
 Returns mime type name of object. More...
virtual char * GetObjectInfo (Int_t px, Int_t py) const
 Returns string containing info about the object at position (px,py). More...
virtual Option_tGetOption () const
virtual UInt_t GetUniqueID () const
 Return the unique object id. More...
virtual Bool_t HandleTimer (TTimer *timer)
 Execute action in response of a timer timing out. More...
virtual void Info (const char *method, const char *msgfmt,...) const
 Issue info message. More...
virtual Bool_t InheritsFrom (const char *classname) const
 Returns kTRUE if object inherits from class "classname". More...
virtual Bool_t InheritsFrom (const TClass *cl) const
 Returns kTRUE if object inherits from TClass cl. More...
virtual void Inspect () const
 Dump contents of this object in a graphics canvas. More...
void InvertBit (UInt_t f)
virtual Bool_t IsEqual (const TObject *obj) const
 Default equal comparison (objects are equal if they have the same address in memory). More...
virtual Bool_t IsFolder () const
 Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...
Bool_t IsOnHeap () const
Bool_t IsZombie () const
void MayNotUse (const char *method) const
 Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More...
virtual Bool_t Notify ()
 This method must be overridden to handle object notification. More...
void Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const
 Use this method to declare a method obsolete. More...
void operator delete (void *ptr)
 Operator delete. More...
void operator delete[] (void *ptr)
 Operator delete []. More...
voidoperator new (size_t sz)
voidoperator new (size_t sz, void *vp)
voidoperator new[] (size_t sz)
voidoperator new[] (size_t sz, void *vp)
TObjectoperator= (const TObject &rhs)
 TObject assignment operator. More...
virtual void Paint (Option_t *option="")
 This method must be overridden if a class wants to paint itself. More...
virtual void Pop ()
 Pop on object drawn in a pad to the top of the display list. More...
virtual Int_t Read (const char *name)
 Read contents of object with specified name from the current directory. More...
virtual void RecursiveRemove (TObject *obj)
 Recursively remove this object from a list. More...
void ResetBit (UInt_t f)
virtual void SaveAs (const char *filename="", Option_t *option="") const
 Save this object in the file specified by filename. More...
virtual void SavePrimitive (std::ostream &out, Option_t *option="")
 Save a primitive as a C++ statement(s) on output stream "out". More...
void SetBit (UInt_t f, Bool_t set)
 Set or unset the user status bits as specified in f. More...
void SetBit (UInt_t f)
virtual void SetDrawOption (Option_t *option="")
 Set drawing option for object. More...
virtual void SetUniqueID (UInt_t uid)
 Set the unique object id. More...
virtual void SysError (const char *method, const char *msgfmt,...) const
 Issue system error message. More...
Bool_t TestBit (UInt_t f) const
Int_t TestBits (UInt_t f) const
virtual void UseCurrentStyle ()
 Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...
virtual void Warning (const char *method, const char *msgfmt,...) const
 Issue warning message. More...
virtual Int_t Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
 Write this object to the current directory. More...
virtual Int_t Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
 Write this object to the current directory. More...

Protected Attributes

ROOT::Math::Delaunay2D fDelaunay
 2D graph containing the user data More...
- Protected Attributes inherited from TNamed
TString fName
TString fTitle

Private Member Functions

 TGraphDelaunay2D (const TGraphDelaunay2D &)
TGraphDelaunay2Doperator= (const TGraphDelaunay2D &)

Additional Inherited Members

- Static Public Member Functions inherited from TObject
static Long_t GetDtorOnly ()
 Return destructor only flag. More...
static Bool_t GetObjectStat ()
 Get status of object stat flag. More...
static void SetDtorOnly (void *obj)
 Set destructor only flag. More...
static void SetObjectStat (Bool_t stat)
 Turn on/off tracking of objects in the TObjectTable. More...
- Protected Member Functions inherited from TObject
virtual void DoError (int level, const char *location, const char *fmt, va_list va) const
 Interface to ErrorHandler (protected). More...
void MakeZombie ()

#include <TGraphDelaunay2D.h>

Inheritance diagram for TGraphDelaunay2D:

Member Typedef Documentation

◆ Triangles

Delaunay interpolator class.

Definition at line 57 of file TGraphDelaunay2D.h.

Constructor & Destructor Documentation

◆ TGraphDelaunay2D() [1/2]

TGraphDelaunay2D::TGraphDelaunay2D ( const TGraphDelaunay2D )

◆ TGraphDelaunay2D() [2/2]

TGraphDelaunay2D::TGraphDelaunay2D ( TGraph2D g = 0)

TGraphDelaunay2D normal constructor.

Definition at line 48 of file TGraphDelaunay2D.cxx.

Member Function Documentation

◆ begin()

Triangles::const_iterator TGraphDelaunay2D::begin ( ) const

Definition at line 74 of file TGraphDelaunay2D.h.

◆ ComputeZ()

Double_t TGraphDelaunay2D::ComputeZ ( Double_t  x,
Double_t  y 

Definition at line 61 of file TGraphDelaunay2D.h.

◆ end()

Triangles::const_iterator TGraphDelaunay2D::end ( ) const

Definition at line 75 of file TGraphDelaunay2D.h.

◆ FindAllTriangles()

void TGraphDelaunay2D::FindAllTriangles ( )

Definition at line 62 of file TGraphDelaunay2D.h.

◆ GetGraph2D()

TGraph2D* TGraphDelaunay2D::GetGraph2D ( ) const

Definition at line 64 of file TGraphDelaunay2D.h.

◆ GetMarginBinsContent()

Double_t TGraphDelaunay2D::GetMarginBinsContent ( ) const

Definition at line 65 of file TGraphDelaunay2D.h.

◆ GetNdt()

Int_t TGraphDelaunay2D::GetNdt ( ) const

Definition at line 66 of file TGraphDelaunay2D.h.

◆ GetXNmax()

Double_t TGraphDelaunay2D::GetXNmax ( ) const

Definition at line 68 of file TGraphDelaunay2D.h.

◆ GetXNmin()

Double_t TGraphDelaunay2D::GetXNmin ( ) const

Definition at line 67 of file TGraphDelaunay2D.h.

◆ GetYNmax()

Double_t TGraphDelaunay2D::GetYNmax ( ) const

Definition at line 70 of file TGraphDelaunay2D.h.

◆ GetYNmin()

Double_t TGraphDelaunay2D::GetYNmin ( ) const

Definition at line 69 of file TGraphDelaunay2D.h.

◆ operator=()

TGraphDelaunay2D& TGraphDelaunay2D::operator= ( const TGraphDelaunay2D )

◆ SetMarginBinsContent()

void TGraphDelaunay2D::SetMarginBinsContent ( Double_t  z = 0.)

Definition at line 72 of file TGraphDelaunay2D.h.

Member Data Documentation

◆ fDelaunay

ROOT::Math::Delaunay2D TGraphDelaunay2D::fDelaunay

2D graph containing the user data

Definition at line 50 of file TGraphDelaunay2D.h.

◆ fGraph2D

TGraph2D* TGraphDelaunay2D::fGraph2D

Definition at line 48 of file TGraphDelaunay2D.h.

The documentation for this class was generated from the following files: