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#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "nrutil.h"
//y is the input image, nx and ny are the pixels along x and y axis;
//yt and residu are the required matrix for the function
//para contains the needed parameters: centx=para[3], centy=para[4]
void star_gaus(float **y,int nx,int ny,double *para);
void main()
{
int i, j;
int IMAGE_WIDTH, IMAGE_HEIGHT;
float center_x, center_y;
float R, dis;
float **Gauss_map;
double *para;
//double para[10];
IMAGE_WIDTH = 180;
IMAGE_HEIGHT = 180;
center_x = IMAGE_WIDTH/2 -0.;
center_y = IMAGE_HEIGHT/2+0.;
R = sqrt(center_x*center_x + center_y*center_y);
//Gauss_map = np.zeros((IMAGE_HEIGHT, IMAGE_WIDTH))
Gauss_map = matrix(0, IMAGE_HEIGHT-1, 0, IMAGE_WIDTH-1);
para = dvector(0,10);
for(i=0; i<IMAGE_HEIGHT; i++)
{
for(j=0; j<IMAGE_WIDTH; j++)
{
//#dis = np.sqrt((i-center_y)**2+(j-center_x)**2)
dis = (i-center_y)*(i-center_y) + (j-center_x)*(j-center_x);
//dis = sqrt(dis);
Gauss_map[i][j] = exp(-0.5*dis/R);
}
}
star_gaus(Gauss_map, IMAGE_HEIGHT, IMAGE_WIDTH, para);
printf("ok?\n");
printf("para:%f %f\n", para[3], para[4]);
//free_matrix(Gauss_map,0,IMAGE_HEIGHT-1,0,IMAGE_WIDTH-1);
//free_dvector(para,0,4);
}
void centroidWgt(float *y, int nx, int ny, double *para)
{
int i, j, k;
float **yy;
double **basef;
double **coff;
yy = matrix(0, nx-1, 0, ny-1);
for(i=0; i<nx; i++)
for(j=0; j<ny; j++)
{
k = j + i*nx;
yy[i][j] = y[k];
}
star_gaus(yy, nx, ny, para);
}
//void star_gaus(float **y,int nx,int ny,float **yt,float **residu,double *para)
void star_gaus(float **y,int nx,int ny,double *para)
{
void gasfit_2D(double **x, double *y,int np,double *para,double bg0, int fbg);
double **xs,*ys,ymax;
int i,j,np,npt,im,jm,**xi,k;
double kc,bgc,sigmac,xc,yc,sigma2v,det;
double bg0=0;
int fbg=0;
np=nx*ny;
xs=dmatrix(0,np-1,0,1);
ys=dvector(0,np-1);
xi=imatrix(0,np-1,0,1);
ymax=y[0][0];
for(i=0;i<nx;i++)for(j=0;j<ny;j++){
if(ymax<y[i][j]){ymax=y[i][j];im=i;jm=j;}
}printf("x=%d,y=%d,ymax=%e\n",im,jm,ymax);
int cutPix;
cutPix = 23;
npt=0;
for(i=-cutPix;i<=cutPix;i++){
for(j=-cutPix;j<=cutPix;j++){
xs[npt][0]=xi[npt][0]=i+im;
xs[npt][1]=xi[npt][1]=j+jm;
ys[npt]=y[im+i][jm+j];
npt++;
}
}
printf("check:: %f %f %f %d\n",ys[0], ys[10], ys[100], npt );
gasfit_2D(xs, ys,npt,para,bg0,fbg);
kc=para[0];sigmac=para[1];bgc=para[2];xc=para[3];yc=para[4];
printf("xc, yc: %f %f\n",yc, xc);
//printf("%e %e %e %e %e\n",kc,sigmac,bgc,xc,yc);
/*
sigma2v=-1./(2.*sigmac*sigmac);
for(i=0;i<nx;i++){
for(j=0;j<ny;j++){
det=DSQR(i-xc)+DSQR(j-yc);
yt[i][j]=kc*exp(det*sigma2v)+bgc;
residu[i][j]=y[i][j]-yt[i][j];
}
}
*/
free_dmatrix(xs,0,np-1,0,1);
free_imatrix(xi,0,np-1,0,1);
free_dvector(ys,0,np-1);
}
void gasfit_2D(double **x, double *y,int np,double *para,double bg0,int fbg)
{
void search_2D(double **x,double *y,int np,double kc,double kd,double sigmac,
double sigmad,double bgc,double bgd,double xc, double xd,
double yc, double yd,double *para,double bg0,int fbg);
int i,j,k,imax=0,isigma;
double ymax,ymin,kc,kd,sigmac,sigmad,bgc,bgd,ysigma,xc,yc,xd,yd;
double det,dett;
ymin=ymax=y[imax];
for(i=1;i<np;i++){
if(ymax<y[i]){imax=i;ymax=y[i];}
if(ymin>y[i])ymin=y[i];
}
//printf("ymax=%e,imax=%d\n",ymax,imax);
kc=ymax;kd=ymax/12.;
det=ysigma=kc*exp(-0.5);//printf("det=%e,kc=%e\n",det,kc);
for(i=0;i<np;i++){
dett=fabs(ysigma-y[i]);//printf("dett=%e,det=%e,i=%d\n",dett,det,i);
//if(dett<det && y[i]!=kc){det=dett;isigma=i;}
if(dett<det){det=dett;isigma=i;}
}
xc=x[imax][0];yc=x[imax][1];printf("isigma=%d,imax=%d\n",isigma,imax);
sigmac=sqrt(DSQR(xc-x[isigma][0])+DSQR(yc-x[isigma][1]))*1.;
xd=yd=sigmac*0.25;
sigmad=0.25*sigmac;
bgc=0.;bgd=fabs(ymin);
//printf("sigma=%e\n",sigmac);
for(i=0;i<4;i++){
printf("i = %d\n", i);
//printf("%e %e %e %e %e k2=%e\n",kc,sigmac,bgc,xc,yc,para[5]);
search_2D(x,y,np,kc,kd,sigmac,sigmad,bgc,bgd,xc,xd,yc,yd,para,bg0,fbg);
kd*=0.33;sigmad*=0.33;bgd*=0.33;xd*=0.33;yd*=0.33;
kc=para[0];sigmac=para[1];bgc=para[2];xc=para[3];yc=para[4];
}
if(fbg==0)para[2]=bg0;
}
void search_2D(double **x,double *y,int np,double kc,double kd,double sigmac,
double sigmad,double bgc,double bgd,double xc, double xd,
double yc, double yd,double *para,double bg0,int fbg)
{
double k,sigma,bg,k2,k20,sigma2v,det,xt,yt;
int i,j,l,m,p,q;
sigma2v=-1./(2.*sigmac*sigmac);
bg=bgc;
k20=0;
for(m=0;m<np;m++){
det=DSQR(x[m][0]-xc)+DSQR(x[m][1]-yc);
det=kc*exp(det*sigma2v)+bgc-y[m];
k20+=det*det;
}
for(i=-4;i<=4;i++){
k=kc+i*kd;
if(k>0){
for(j=-4;j<=4;j++){
sigma=sigmac+j*sigmad;
if(sigma>0){
sigma2v=-1./(2.*sigma*sigma);
for(p=-4;p<=4;p++){
xt=xc+p*xd;
for(q=-4;q<=4;q++){
yt=yc+q*yd;
k2=0;
if(fbg==0){
bg=bg0;
for(m=0;m<np;m++){
det=DSQR(x[m][0]-xt)+DSQR(x[m][1]-yt);
det=k*exp(det*sigma2v)+bg-y[m];
k2+=det*det;
}
}
else{
for(l=-4;l<=4;l++){
bg=bgc+l*bgd;
for(m=0;m<np;m++){
det=DSQR(x[m][0]-xt)+DSQR(x[m][1]-yt);
det=k*exp(det*sigma2v)+bg-y[m];
k2+=det*det;
}
}
}
//printf("k20=%e k2=%e\n",k20,k2);
if(k2<=k20){k20=k2;para[5]=k2;
para[0]=k;para[1]=sigma;para[2]=bg;para[3]=xt;para[4]=yt;}
}
}
}
}
}
}
}