//
// ../bin/FBP2D FBP2D.par
//
// ********************************************************************
// * License and Disclaimer *
// * *
// * The GAMOS software is copyright of the Copyright Holders of *
// * the GAMOS Collaboration. It is provided under the terms and *
// * conditions of the GAMOS Software License, included in the file *
// * LICENSE and available at http://fismed.ciemat.es/GAMOS/license .*
// * These include a list of copyright holders. *
// * *
// * Neither the authors of this software system, nor their employing *
// * institutes,nor the agencies providing financial support for this *
// * work make any representation or warranty, express or implied, *
// * regarding this software system or assume any liability for its *
// * use. Please see the license in the file LICENSE and URL above *
// * for the full disclaimer and the limitation of liability. *
// * *
// * This code implementation is the result of the scientific and *
// * technical work of the GAMOS collaboration. *
// * By using, copying, modifying or distributing the software (or *
// * any work based on the software) you agree to acknowledge its *
// * use in resulting scientific publications, and indicate your *
// * acceptance of all terms of the GAMOS Software license. *
// ********************************************************************
//
#include "PETProjDataMgr.h"
#include "TH2F.h"
#include "TH3F.h"
#include "TMath.h"
#include "TRandom3.h"
#include <iomanip>
#include <iostream>
#include <cstdlib>
using namespace std;
//----------------------------------------------------------------------
PETProjDataMgr* PETProjDataMgr::m_Instance = 0;
//----------------------------------------------------------------------
PETProjDataMgr* PETProjDataMgr::GetInstance()
{
if( !m_Instance ) {
m_Instance = new PETProjDataMgr;
}
return m_Instance;
}
//-----------------------------------------------------------------------
PETProjDataMgr::PETProjDataMgr()
{
/*
// ARGUMENTS:
" cout << " -------------------------- \n"
" Arguments convention: \n"
" -a Axial FOV (mm), <theDist_axial=100.0> \n"
" -d Diameter Transaxial FOV (mm), <m_RingDiameter=300.0> \n"
" -i Type of the input file (by default: 0 = Arce_binary), <typeINfile=0> \n"
" \n"
" -m Maximum ring difference (by default: -1 = m_NOfPlanes), <m_MaxRingDifferenceiff> \n"
" -n Name of output file, <m_Filename> \n"
" -p Axial number of planes, <m_NOfPlanes> \n"
" -r Number of bins, \"distancias\", <m_NOfBins> \n"
// -s Span TO DO:span !!!!!
" -t Number of angular views, \"direcciones\", <m_NOfAngles> \n"
" -v Verbosity (by default: 0=silent, 3=debug), <verbos> \n"
" -x Maximum number of coincidences to be stored (by default: -1 = no limit), <Max_Coinci> \n"
" -o Output type (by default: 0 = mcc Interfile, 1 = STIR Interfile), <OutType> \n"
" \n"
" PET Reconstruction. CIEMAT 2009-11 \n"
" mario.canadas@ciemat.es \n"
" -------------------------- \n";
*/
m_rnd= new TRandom3();
m_AxialDistance = (9-1)*2.25; // Axial pixel dimension*NOfPlanes
m_RingDiameter = 120.0; // notranji premer peta
m_NOfPlanes = 9; // stevilo ravnin
m_NOfBins = 128; // stevilo binov v razdalji
m_nch = 128; // stevilo padov okoli in okoli
m_NOfAngles = TMath::Abs(m_nch)/2; // stevilo kotov = stevilo padov okoli in okoli /2
m_MaxRingDifference = -1;
//m_MaxRingDifference = 3; // najvecja razdalja med padi
// toDo: theSpan = int(GmParameterMgr::GetInstance()->GetNumericValue("PET:ProjData:Span",1));
m_OutFormat = 1; // 1.. projections 0 .. image
m_Filename = "sino3D";
m_Debug=1;
if (m_MaxRingDifference==-1) m_MaxRingDifference=m_NOfPlanes-1;
m_TotalAxialPlanes=m_NOfPlanes*m_NOfPlanes;
if (m_OutFormat==1) m_TotalAxialPlanes= (2*m_NOfPlanes-1 - m_MaxRingDifference)*m_MaxRingDifference + m_NOfPlanes; // total number of Axial planes (segments*planes) in STIR format
/*--- Initialize sino3D ---*/
m_projections = new SINO_TYPE**[m_NOfBins];
for(int i=0;i<m_NOfBins;i++){
m_projections[i] = new SINO_TYPE*[m_NOfAngles];
for(int j=0;j<m_NOfAngles;j++){
m_projections[i][j] = new SINO_TYPE[m_TotalAxialPlanes]; /// ! If m_OutFormat==1 (STIR output):Matrix size depends on the MAX_Ring_Difference
for(int k=0;k<m_TotalAxialPlanes;k++){
m_projections[i][j][k]=0;
}
}
}
m_TotalProjectionCoincidences=0;
m_TotalCoincidences=0;
//OutputType = "pet";
}
//-----------------------------------------------------------------------
void PETProjDataMgr::SetProjection( int axialplane, TH2F * h)
{
for(int i=0;i<m_NOfBins;i++){
for(int j=0;j<m_NOfAngles;j++){
m_projections[i][j][axialplane]=h->GetBinContent(i+1,j+1);
}
}
}
//-----------------------------------------------------------------------
//-----------------------------------------------------------
// from Gate
//------------------------------------------------------------
double ComputeSinogramS(double X1, double Y1, double X2, double Y2)
{
double s;
double denom = (Y1-Y2) * (Y1-Y2) + (X2-X1) * (X2-X1);
if (denom!=0.) {
s = ( X1 * (Y2-Y1) + Y1 * (X1-X2) ) / denom;
} else {
s = 0.;
}
double theta;
if ((X1-X2)!=0.) {
theta
=atan((X1
-X2
) /(Y1
-Y2
));
} else {
theta=3.1416/2.;
}
if ((theta > 0.) && ((X1-X2) > 0.)) s = -s;
if ((theta < 0.) && ((X1-X2) < 0.)) s = -s;
if ( theta < 0.) {
theta = theta+3.1416;
s = -s;
}
return s;
}
void PETProjDataMgr::AddEvent( const TVector3& pos1 , const TVector3& pos2)
{
int z1_i, z2_i;
//for discretization on the crystal: int x1_i, x2_i, y1_i, y2_i;
double z1_abs=pos1.z()+m_AxialDistance/2;
double z2_abs=pos2.z()+m_AxialDistance/2;
double a, b, phi, dis;
int phi_i, dis_i;
int ring_diff;
m_TotalCoincidences++;
z1_i=(int)(m_NOfPlanes* z1_abs/m_AxialDistance); //round --> m_NOfPlanes+1 ...
z2_i=(int)(m_NOfPlanes* z2_abs/m_AxialDistance);
// control; if z_i out of range: return
if ( (pos1.x()==pos2.x()) && (pos1.y()==pos2.y()) ) {
#ifndef GAMOS_NO_VERBOSE
if( m_Debug ) {
cout << "PETProjDataMgr::AddEvent:WARNING! Event_1 == Event_2 ; x= " << pos2.x() << ", y= " << pos2.y() << ", z= " << pos2.z() << endl;
}
#endif
return;
}
if ( (z1_i<0) || (z2_i<0) || (z1_i>= m_NOfPlanes) || (z2_i>= m_NOfPlanes) ) {
#ifndef GAMOS_NO_VERBOSE
if( m_Debug ) {
cout << "PETProjDataMgr::AddEvent:WARNING! Event out of bounds (Axial): x1= " << pos1.x() << ", y1= " << pos1.y() << ", z1= " << pos1.z() << " ; x2= " << pos2.x() << ", y2= " << pos2.y() << ", z2= " << pos2.z() << endl;
}
#endif
return;
}
ring_diff
= (int)fabs(z1_i
-z2_i
);
// max ring difference; control:
if (ring_diff > m_MaxRingDifference) {
#ifndef GAMOS_NO_VERBOSE
if( m_Debug ) {
cout <<"PETProjDataMgr::AddEvent:WARNING! Event out of bounds (Max. Ring Diff.): " << ring_diff << ">" << m_MaxRingDifference << " x1= " << pos1.x() << ", y1= " << pos1.y() << ", z1= " << pos1.z() << " ; x2= " << pos2.x() << ", y2= " << pos2.y() << ", z2= " << pos2.z() << endl;
}
#endif
return;
}
a=(double)(pos2.y()- pos1.y());
b=(double)(pos2.x()- pos1.x());
if (a==0.0){
phi=_PI*0.5;
}
else{
}
if (phi<0) phi = phi +_PI;
dis
=pos1.
x()*cos(phi
) - pos1.
y()*sin(phi
);
//dis=ComputeSinogramS(pos1.x(), pos1.y(), pos2.x(), pos2.x());
// control; transaxial FOV
if ( fabs(dis
) > m_RingDiameter
*0.5 ) {
#ifndef GAMOS_NO_VERBOSE
if( m_Debug ) {
cout << "PETProjDataMgr::AddEvent:WARNING! Event out of bounds (Transaxial): x1= " << pos1.x() << ", y1= " << pos1.y() << ", z1= " << pos1.z() << " ; x2= " << pos2.x() << ", y2= " << pos2.y() << ", z2= " << pos2.z() << endl;
}
#endif
return;
}
dis = dis + m_RingDiameter*0.5;
// discret values:
phi_i=(int)round( (double)(m_NOfAngles-1)*phi/_PI );
dis_i=(int)round( (double)(m_NOfBins-1)*dis/(double)m_RingDiameter );
if ((phi_i>=m_NOfAngles) || (dis_i>=m_NOfBins)) return; // only possible "=" because 'round' check it..
// OLD: (SRRB included) sino3D[dis_i][phi_i][ (z1_i+z2_i)+ring_diff*(m_NOfPlanes-1) ]++;
int Zpos;
if (m_OutFormat==0) {
Zpos = (z1_i*m_NOfPlanes + z2_i);
}
else{
if (z1_i>=z2_i) { // SIN Max Ring_Diff: Zpos= ( ((m_NOfPlanes-ring_diff)*(m_NOfPlanes-1-ring_diff))/2 + z2_i );
Zpos= ( ((2*m_NOfPlanes-1 - m_MaxRingDifference - ring_diff)*(m_MaxRingDifference - ring_diff))/2 + z2_i);
}else{
Zpos= ( (m_TotalAxialPlanes) - ((2*m_NOfPlanes-1 - m_MaxRingDifference - ring_diff +1)*(m_MaxRingDifference - ring_diff +1))/2 + z1_i );
}
}
m_projections[dis_i][phi_i][ Zpos ]++;
m_TotalProjectionCoincidences++;
#ifndef GAMOS_NO_VERBOSE
if( m_Debug >1) {
cout << "PETProjDataMgr::AddEvent: x1= " << pos1.x() << ", y1= " << pos1.y() << ", z1= " << pos1.z() << " ; x2= " << pos2.x() << ", y2= " << pos2.y() << ", z2= " << pos2.z() << endl;
cout << "PETProjDataMgr::AddEvent: Sinogram pos.: distance(s)= " << dis_i << ", angular view(phi)= " << phi_i << " ; Zpos=" << Zpos <<"; Segment (Ring diff.) = " << ring_diff << endl;
}
#endif
}
//-----------------------------------------------------------------------
PETProjDataMgr::~PETProjDataMgr()
{
int i,j;
for(i=0;i<m_NOfBins;i++){
for(j=0;j<m_NOfAngles;j++){
free(m_projections
[i
][j
]);
}
}
}
/* TO DO: call lm_to_sino3D program
//-----------------------------------------------------------------------
void PETIOMgr::ReadFile()
{
if( !theFileIn ) OpenFileIn();
PETOutput po;
G4bool bEof;
for(;;) {
po = ReadEvent( bEof );
// theFileIn->read(reinterpret_cast<char *>(&po),sizeof(PetOutput));
if(bDumpCout) PrintEvent(" PETOutput: ", po, bCartesian);
if( bEof ) break;
}
}
//-----------------------------------------------------------------------
PETOutput PETProjDataMgr::ReadEvent( G4bool& bEof )
{
if( theFileIn == 0 ){
G4Exception("PETIOMgr::ReadEvent, file not opened, call OpenFileIn() first ");
}
PETOutput po;
fread (&po, sizeof(struct PETOutput),1,theFileIn);
if ( feof( theFileIn ) ) {
bEof = TRUE;
} else {
bEof = FALSE;
}
return po;
}
*/
//-----------------------------------------------------------------------
void PETProjDataMgr::WriteInterfile()
{
char name_hv[512];
char name_v[512];
if (m_OutFormat==0){
fprintf (fp
, "name of data file := %s\n", name_v
);
fprintf (fp
, "!GENERAL DATA := \n");
fprintf (fp
, "!GENERAL IMAGE DATA :=\n");
fprintf (fp
, "!type of data := tomographic\n");
fprintf (fp
, "!version of keys := 3.3\n");
fprintf (fp
, "!data offset in bytes := 0\n");
fprintf (fp
, "imagedata byte order := littleendian\n");
fprintf (fp
, "!PET STUDY (General) :=\n");
fprintf (fp
, "!PET data type := 3D-Sinogram\n");
fprintf (fp
, "process status := Reconstructed\n");
fprintf (fp
, "!number format := unsigned short\n");
fprintf (fp
, "!number of bytes per pixel := 2\n");
fprintf (fp
, "number of dimensions := 3\n");
fprintf (fp
, "matrix axis label [1] := x\n");
fprintf (fp
, "!matrix size [1] := %i\n",m_NOfBins
);
fprintf (fp
, "scaling factor (mm/pixel) [1] := %f\n",(float)(m_RingDiameter
/(m_NOfBins
-1.0)));
fprintf (fp
, "matrix axis label [2] := y\n");
fprintf (fp
, "!matrix size [2] := %i\n",m_NOfAngles
);
fprintf (fp
, "scaling factor (degree/pixel) [2] := %f\n",(float)(360.
/m_NOfAngles
));
fprintf (fp
, "matrix axis label [3] := z\n");
fprintf (fp
, "!matrix size [3] := %i\n",m_NOfPlanes
*m_NOfPlanes
);
fprintf (fp
, "scaling factor (mm/pixel) [3] := %f\n",(float)(m_AxialDistance
/(m_NOfPlanes
-1.0)));
fprintf (fp
, "number of slices := %i\n",m_NOfPlanes
*m_NOfPlanes
);
fprintf (fp
, "number of time frames := 1\n");
fprintf (fp
, "image scaling factor[1] := 1\n");
fprintf (fp
, "data offset in bytes[1] := 0\n");
fprintf (fp
, "quantification units := 1\n");
fprintf (fp
, "!END OF INTERFILE := \n");
//(size_t)(m_NOfBins*m_NOfAngles*m_NOfPlanes*m_NOfPlanes);
}else{
strcat(name_hv
, ".hs"); // STIR extension: .hs .s
fprintf (fp
, "name of data file := %s\n",name_v
);
fprintf (fp
, "!GENERAL DATA := \n");
fprintf (fp
, "!GENERAL IMAGE DATA :=\n");
fprintf (fp
, "!type of data := PET\n");
// fprintf (fp, "!version of keys := 3.3\n"); STIR format is not 3.3 (almost but not completely), ERROR in STIR if it is not removed
// fprintf (fp, "!data offset in bytes := 0\n");
fprintf (fp
, "imagedata byte order := littleendian\n");
fprintf (fp
, "!PET STUDY (General) :=\n");
fprintf (fp
, "!PET data type := Emission\n");
fprintf (fp
, "applied corrections := {arc correction}\n"); // {none}\n");
// fprintf (fp, "process status := Reconstructed\n");
fprintf (fp
, "!number format := unsigned integer\n");
fprintf (fp
, "!number of bytes per pixel := 2\n");
fprintf (fp
, "number of dimensions := 4\n");
fprintf (fp
, "matrix axis label [4] := segment\n");
fprintf (fp
, "!matrix size [4] := %i\n",m_MaxRingDifference
*2 + 1);
// fprintf (fp, "scaling factor (mm/pixel) [1] := %f\n",(float)(d_FOV/(m_NOfBins-1)));
fprintf (fp
, "matrix axis label [3] := axial coordinate\n");
fprintf (fp
, "!matrix size [3] := { ");
if (m_MaxRingDifference==0)
{
fprintf (fp
, "%i}\n", m_NOfPlanes
);
}else{
for(int m
=m_NOfPlanes
-m_MaxRingDifference
;m
<=m_NOfPlanes
;m
++) fprintf (fp
, "%i,", m
);
for(int m
=m_NOfPlanes
-1;m
>m_NOfPlanes
-m_MaxRingDifference
;m
--) fprintf (fp
, "%i,", m
);
fprintf (fp
, "%i}\n", m_NOfPlanes
-m_MaxRingDifference
);
}
fprintf (fp
, "matrix axis label [2] := view\n");
fprintf (fp
, "!matrix size [2] := %i\n",m_NOfAngles
);
fprintf (fp
, "matrix axis label [1] := tangential coordinate\n");
fprintf (fp
, "!matrix size [1] := %i\n",m_NOfBins
);
fprintf (fp
, "minimum ring difference per segment := {"); // TO DO : add SPAN (m_MaxRingDifferenceiff per seg. variable)
fprintf (fp
, "%i", -m_MaxRingDifference
);
for(int m
=-m_MaxRingDifference
+1;m
<=m_MaxRingDifference
;m
++) fprintf (fp
, ",%i", m
);
fprintf (fp
, "maximum ring difference per segment := {"); // TO DO : add SPAN (m_MaxRingDifferenceiff per seg. variable)
fprintf (fp
, "%i", -m_MaxRingDifference
);
for(int m
=-m_MaxRingDifference
+1;m
<=m_MaxRingDifference
;m
++) fprintf (fp
, ",%i", m
);
fprintf (fp
, "inner ring diameter (cm) := %f\n", m_RingDiameter
/10); // STIR Required parameter, now assigned to FOV (not detectors)
fprintf (fp
, "average depth of interaction (cm) := 0.0001\n");
fprintf (fp
, "default bin size (cm) := %f\n",0.1*((float)m_RingDiameter
/((float)m_NOfBins
-1.0)) );
fprintf (fp
, "number of rings := %i\n",m_NOfPlanes
);
fprintf (fp
, "distance between rings (cm) := %f\n", 0.1*((float)m_AxialDistance
/(float)(m_NOfPlanes
-1)) ); // Axial pixel dimension
fprintf (fp
, "number of detectors per ring := %i\n",m_NOfAngles
*2 );
// fprintf (fp, "number of slices := %i\n",m_NOfPlanes*m_NOfPlanes);
fprintf (fp
, "number of time frames := 1\n");
fprintf (fp
, "image scaling factor[1] := 1\n");
fprintf (fp
, "data offset in bytes[1] := 0\n");
fprintf (fp
, "quantification units := 1\n");
fprintf (fp
, "!END OF INTERFILE := \n");
}
m_Buffer
= (SINO_TYPE
*) malloc( m_NOfBins
*m_NOfAngles
*m_TotalAxialPlanes
*sizeof(SINO_TYPE
));
long unsigned int cont=0;
int i,j,k;
for(k=0;k<m_TotalAxialPlanes;k++){
for(j=0;j<m_NOfAngles;j++){
for(i=0;i<m_NOfBins;i++){
m_Buffer[cont]=m_projections[i][j][k];
cont++;
}
}
}
//cout << 4096*sizeof(SINO_TYPE) << endl;
int nb
=fwrite(m_Buffer
,1,m_NOfBins
*m_NOfAngles
*m_TotalAxialPlanes
*sizeof(SINO_TYPE
), fp
);
#ifndef GAMOS_NO_VERBOSE
cout << "PETProjDataMgr::WriteInterfile: File name: " << m_Filename << endl;
cout << "PETProjDataMgr::WriteInterfile: Numer of bytes written: " << nb << endl;
cout << "PETProjDataMgr::WriteInterfile: Planes = " << m_NOfPlanes << "; bins = " << m_NOfBins << "; ang_views = " << m_NOfAngles << endl;
cout << "PETProjDataMgr::WriteInterfile: Dimensions (mm): Transaxial FOV = " << m_RingDiameter << "; Axial FOV = " << m_AxialDistance << " ; Transaxial_pix = " << m_RingDiameter/(m_NOfBins-1) <<"; Plane width = " << m_AxialDistance/(m_NOfPlanes-1) << endl; // Image Axial Pixel(ssrb) == 0.5*(Plane_Width);
cout << "... " << endl;
cout << "PETProjDataMgr::WriteInterfile: Total Coinci: " << m_TotalCoincidences << endl;
cout << "PETProjDataMgr::WriteInterfile: Sino3D Coinci: " << m_TotalProjectionCoincidences << endl;
#endif
}
TVector3 PETProjDataMgr::Hits2Digits(const TVector3 &r){
if (!m_nch) return r;
float smear=0.5;
if (m_nch<0) smear=m_rnd->Rndm();
double angle = TMath::ATan2(r.X(),r.Y()); // vrne kot med -pi in pi
if (angle<0) angle+=TMath::TwoPi();
angle= (int(angle/TMath::TwoPi()*TMath::Abs(m_nch))+smear)*TMath::TwoPi()/TMath::Abs(m_nch);
//(m_rnd->Rndm()-0.5)*m_AxialDistance;
return TVector3
(sin(angle
), cos(angle
),0); // z coordinata ni cisto v redu
}
int PETProjDataMgr::FwdProject(double x,double y, double z, int nmax, TH1*h){
TVector3 r(x,y,z);
int h2d=h->InheritsFrom("TH2F");
double tfac=m_RingDiameter*m_RingDiameter/4-r.Mag2();
double rfac= m_AxialDistance/m_RingDiameter;
for (int i=0;i<nmax;i++){
double phi= m_rnd->Rndm()*TMath::Pi();
TVector3 s(1,0,0);
s.SetPhi(phi);
double sign = (m_rnd->Rndm()>0.5)? 1 : 0;
double theta = TMath::ACos(m_rnd->Rndm()*rfac);
theta+=sign*TMath::Pi();
s.SetTheta(theta);
double t=r*s;
TVector3 rx=r-t*s;
double d=TMath::Sqrt(t*t+tfac);
TVector3 r1=rx+d*s;
TVector3 r2=rx-d*s;
//r1=Hits2Digits(r1);
//r2=Hits2Digits(r2);
AddEvent( r1 , r2);
if (h!=NULL){
TVector3 s1=r2-r1;
double s1len= s1.Mag();
int niter=int (100*s1len/m_RingDiameter);
for (int j=0;j<niter;j++){
r2=r1+m_rnd->Rndm()*s1;
if (h2d) ((TH2F *) h)->Fill(r2.X(),r2.Y());
else ((TH3F *) h)->Fill(r2.X(),r2.Y(),r2.Z());
}
}
}
return 0;
}
int PETProjDataMgr::FwdProject(TH2F *img, TH2F *h){
for (int i=0;i<img->GetNbinsX();i++) {
double x_=img->GetXaxis()->GetBinCenter( i+1 );
for (int j=0;j<img->GetNbinsY();j++) {
double y_=img->GetYaxis()->GetBinCenter( j+1 );
double density= img->GetBinContent(i+1,j+1);
if (density>0) FwdProject(x_,y_,m_AxialDistance*(m_rnd->Rndm()-0.5), density,h);
}
}
return 0;
}
int PETProjDataMgr::FwdProject(TH3F *img, TH3F *h){
for (int i=0;i<img->GetNbinsX();i++) {
double x_=img->GetXaxis()->GetBinCenter( i+1 );
for (int j=0;j<img->GetNbinsY();j++) {
double y_=img->GetYaxis()->GetBinCenter( j+1 );
for (int k=0;k<img->GetNbinsZ();k++) {
double z_=img->GetZaxis()->GetBinCenter( k+1 );
double density= img->GetBinContent(i+1,j+1,k+1);
if (density>0) FwdProject(x_,y_,z_, density,h);
}
}
}
return 0;
}
TH2F *PETProjDataMgr::Phantom(int kaj){
TH2F *img= new TH2F("img","Original Image",100,-50,50,100,-50,50);
// izberi sliko 0: kroglice, 1: point source 2: central ball
switch (kaj){
case 0:
for (int i=0;i<img->GetNbinsX();i++) {
for (int j=0;j<img->GetNbinsY();j++) {
double x_=img->GetXaxis()->GetBinCenter( i+1 );
double y_=img->GetYaxis()->GetBinCenter( j+1 );
double density=1000;
if ((x_*x_+y_*y_)<6) img->SetBinContent(i+1,j+1,density);
density=500; if ((x_-25)*(x_-25)+y_*y_<12) img->SetBinContent(i+1,j+1,density);
density=2000; if ((y_-25)*(y_-25)+x_*x_<2) img->SetBinContent(i+1,j+1,density);
}
}
break;
case 2:
for (int i=0;i<img->GetNbinsX();i++) {
for (int j=0;j<img->GetNbinsY();j++) {
double x_=img->GetXaxis()->GetBinCenter( i+1 );
double y_=img->GetYaxis()->GetBinCenter( j+1 );
double density=1000;
if ((x_*x_+y_*y_)<12.5) img->SetBinContent(i+1,j+1,density);
}
}
break;
case 1:
img->Fill(25,25,10000);
break;
}
return img;
}