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/*** File libwcs/findstar.c
*** January 18, 2001
*** By Elwood Downey, revised by Doug Mink
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>
#include "fitshead.h"
#include "imio.h"
#include "vimoswcscat.h"
#include "lvimoswcs.h"
#define ABS(a) ((a) < 0 ? (-(a)) : (a))
extern int daoread();
static int HotPixel();
static int starRadius();
static void starCentroid();
static int BrightWalk ();
static double FindFlux ();
static void mean2d();
static void mean1d();
/* Set input catalog for image stars */
static char imcatname[256] = "";
void setimcat (cat)
char *cat;
{strcpy (imcatname, cat); return; }
/* Get input catalog for image stars */
char *getimcat ()
{return (imcatname); }
static int nspix = NSTATPIX; /* Stats are computed for +- this many pixels */
void setnspix (nsp)
int nsp;
{ nspix = nsp; return; }
static int ispix = ISTATPIX; /* Stats are computed every this many pixels */
void setispix (isp)
int isp;
{ ispix = isp; return; }
static int maxw = MAXWALK; /* Farthest distance to walk from seed */
void setmaxwalk (wmax)
int wmax;
{ maxw = wmax; return; }
static double burnedout = BURNEDOUT; /* Clamp pixels brighter than this */
void setburnedout (bmax)
double bmax;
{ burnedout = bmax; return; }
static int niterate = NITERATE; /* Number of iterations for sigma clipping */
void setniterate (nit)
int nit;
{ niterate = nit; return;}
/* Stars must be at least this many standard deviations above the mean */
static double starsig = STARSIGMA;
void setstarsig (sig)
double sig;
{ starsig = sig; return; }
static int fsborder = BORDER; /* Ignore this much of the edge */
void setborder (brd)
int brd;
{ fsborder = brd; return; }
static int maxrad = MAXRAD; /* Maximum radius for a star */
void setmaxrad (rmax)
int rmax;
{ maxrad = rmax; return; }
static int minrad = MINRAD; /* Minimum radius for a star */
void setminrad (rmin)
int rmin;
{ minrad = rmin; return; }
static double bmin = MINPEAK; /* Minimum peak for a star */
void setbmin (min)
double min;
{ bmin = min; return; }
static int minsep = MINSEP; /* Minimum separation for stars */
void setminsep (smin)
int smin;
{ minsep = smin; return; }
/* Find the location and brightest pixel of stars in the given image.
* Return malloced arrays of x and y and b.
* N.B. Caller must free *xa and *ya and *ba even if 0 stars are returned.
* N.B. Pixels outside fsborder are ignored.
* N.B. Isolated hot pixels are ignored.
* return number of stars (might well be 0 :-), or -1 if trouble.
*/
int
FindStars (header, image, xa, ya, ba, pa, verbose)
char *header; /* FITS header */
char *image; /* image pixels */
double **xa, **ya; /* X and Y coordinates of stars, array returned */
double **ba; /* Fluxes of stars in counts, array returned */
int **pa; /* Peak counts of stars in counts, array returned */
int verbose; /* 1 to print each star's position */
{
double noise, nsigma;
int nstars;
double minll;
int bitpix;
int w, h, ilp, irp;
int x, y, x1, x2, y1, y2;
double xai, yai, bai;
double minsig, sigma;
double *svec, *svb, *sv, *sv1, *sv2, *svlim;
double background;
double rmax;
double bz, bs; /* Pixel value scaling */
int lwidth;
int nextline;
int xborder1, xborder2, yborder1, yborder2;
char trimsec[32];
hgeti4 (header,"NAXIS1", &w);
hgeti4 (header,"NAXIS2", &h);
hgeti4 (header,"BITPIX", &bitpix);
bz = 0.0;
hgetr8 (header,"BZERO", &bz);
bs = 1.0;
hgetr8 (header,"BSCALE", &bs);
/* Allocate the position, flux, and peak intensity arrays
* it's ok to do now because we claim caller should always free these.
*/
*xa = (double *) malloc (sizeof(double));
*ya = (double *) malloc (sizeof(double));
*ba = (double *) malloc (sizeof(double));
*pa = (int *) malloc (sizeof(int));
/* Read star list from file */
if (imcatname[0] != 0) {
int nlog = 0;
if (verbose) nlog = 10;
if (istab (imcatname))
nstars = tabxyread (imcatname, xa, ya, ba, pa, nlog);
else
nstars = daoread (imcatname, xa, ya, ba, pa, nlog);
return (nstars);
}
/* Set trim section for star searching */
if (hgets (header, "TRIMSEC", 32, trimsec)) {
char *tx1, *tx2, *tx3, *tx4, *tx5;
tx1 = trimsec + 1;
tx2 = strchr (trimsec, ':');
*tx2 = (char) 0;
xborder1 = atoi (tx1+1);
tx3 = strchr (tx2, ',');
*tx3 = (char) 0;
xborder2 = w - atoi (tx2);
tx4 = strchr (tx2, ':');
*tx4 = (char) 0;
yborder1 = atoi (tx3);
tx5 = strchr (tx4, ']');
*tx5 = (char) 0;
yborder2 = atoi (tx4) - h;
}
else {
xborder1 = fsborder;
xborder2 = fsborder;
yborder1 = fsborder;
yborder2 = fsborder;
}
/* Allocate a buffer to hold one image line */
svec = (double *) malloc (w * sizeof (double));
/* Compute image noise from a central swath */
x1 = xborder1;
x2 = w - xborder2;
if (x1 > x2) {
x1 = 1;
x2 = w;
}
y1 = (h / 2) - 25;
if (y1 < 1)
y1 = 0;
y2 = (h / 2) + 25;
if (y2 > h)
y2 = h;
mean2d (image,bitpix,w,h,bz,bs, x1, x2, y1, y2, &noise, &nsigma);
/* Fill in borders of the image line buffer with noise */
svlim = svec + w;
svb = svec + xborder1;
for (sv = svec; sv < svb; sv++)
*sv = noise;
for (sv = svlim - xborder2; sv < svlim; sv++)
*sv = noise;
/* Scan for stars based on surrounding local noise figure */
nstars = 0;
lwidth = w - xborder2 - xborder1 + 1;
for (y = yborder1; y < h-yborder1; y++) {
int ipix = 0;
/* Get one line of the image minus the noise-filled borders */
nextline = (w * (y-1)) + xborder1 - 1;
getvec (image, bitpix, bz, bs, nextline, lwidth, svb);
/* Search row for bright pixels */
for (x = xborder1; x < w-xborder2; x++) {
/* Redo stats once for every several pixels */
if (ipix++ % ispix == 0) {
/* Find stats to the left */
ilp = x - (nspix / 2);
if (ilp < 0)
ilp = 0;
sv1 = svec + ilp;
irp = ilp + nspix;
if (irp < w)
sv2 = svec + irp;
else
sv2 = svlim;
minsig = 0.0;
if (sv2 > sv1+1) {
mean1d (sv1, sv2, &minll, &minsig);
sigma = sqrt (minll);
if (minsig < sigma)
minsig = sigma;
}
else {
minll = noise;
sigma = sqrt (minll);
minsig = sigma;
}
minll = minll + (starsig * minsig);
}
/* Pixel is a candidate if above the noise */
if (svec[x] > minll) {
int sx, sy, r, rf;
double b;
int i, ix, iy;
/* Ignore faint stars */
if (svec[x] < bmin)
continue;
/* Ignore hot pixels */
if (!HotPixel (image,bitpix,w,h,bz,bs, x, y, minll))
continue;
/* Walkabout a little to find brightest in neighborhood. */
if (BrightWalk (image,bitpix,w,h,bz,bs, x, y, maxw, &sx, &sy, &b) < 0)
continue;
/* Ignore really bright stars */
if (burnedout > 0 && b >= burnedout)
continue;
/* Do not do the same one again */
for (i = 0; i < nstars; i++) {
ix = (int) ((*xa)[i] + 0.5);
iy = (int) ((*ya)[i] + 0.5);
if (abs (ix-sx) <= minsep && abs (iy-sy) <= minsep)
break;
}
if (i < nstars)
continue;
/* Keep it if it is within the size range for stars */
rmax = maxrad;
r = starRadius (image,bitpix,w,h,bz,bs, sx, sy, b, rmax, minsig,
&background);
if (r > minrad && r <= maxrad) {
/* Find center of star */
nstars++;
*xa= (double *) realloc(*xa, nstars*sizeof(double));
*ya= (double *) realloc(*ya, nstars*sizeof(double));
*ba= (double *) realloc(*ba, nstars*sizeof(double));
*pa= (int *) realloc(*pa, nstars*sizeof(int));
starCentroid (image,bitpix,w,h,bz,bs, sx, sy, &xai, &yai);
(*xa)[nstars-1] = xai;
(*ya)[nstars-1] = yai;
(*pa)[nstars-1] = (int) b;
/* Find size of star for photometry */
/* (points more than three noise sigma above surroundings) */
sx = (int) (xai + 0.5);
sy = (int) (yai + 0.5);
rmax = 2.0 * (double) maxrad;
rf = starRadius (image,bitpix,w,h,bz,bs, sx, sy, b, rmax,
minsig, &background);
/* Find flux from star */
bai = FindFlux (image,bitpix,w,h,bz,bs, sx, sy, rf, background);
(*ba)[nstars-1] = bai;
if (verbose) {
fprintf (stderr," %d: (%d %d) -> (%7.3f %7.3f)",
nstars, sx, sy, xai, yai);
fprintf (stderr," %8.1f -> %10.1f %d -> %d ",
b, bai, r, rf);
(void)putc (13,stderr);
}
}
/* else {
fprintf (stderr," %d: (%d %d) %d > %d\n",
nstars, sx, sy, r, maxrad);
} */
}
}
}
free ((char *)svec);
return (nstars);
}
/* Check pixel at x/y for being "hot", ie, a pixel surrounded by noise.
* If any are greater than pixel at x/y then return -1.
* Else set the pixel at x/y to llimit and return 0.
*/
static int
HotPixel (image, bitpix, w, h, bz, bs, x, y, llimit)
char *image; /* Image array origin pointer */
int bitpix; /* Bits per pixel, negative for floating point or unsigned int */
int w; /* Image width in pixels */
int h; /* Image height in pixels */
double bz; /* Zero point for pixel scaling */
double bs; /* Scale factor for pixel scaling */
int x, y;
double llimit;
{
double pix1, pix2, pix3;
/* Check for hot row */
pix1 = getpix (image,bitpix,w,h,bz,bs,x-1,y-1);
pix2 = getpix (image,bitpix,w,h,bz,bs,x,y-1);
pix3 = getpix (image,bitpix,w,h,bz,bs,x+1,y-1);
if (pix1 > llimit || pix2 > llimit || pix3 > llimit)
return (-1);
pix1 = getpix (image,bitpix,w,h,bz,bs,x-1,y+1);
pix2 = getpix (image,bitpix,w,h,bz,bs,x,y+1);
pix3 = getpix (image,bitpix,w,h,bz,bs,x+1,y+1);
if (pix1 > llimit || pix2 > llimit || pix3 > llimit)
return (-1);
/* Check for hot column */
pix1 = getpix (image,bitpix,w,h,bz,bs,x-1,y-1);
pix2 = getpix (image,bitpix,w,h,bz,bs,x-1,y);
pix3 = getpix (image,bitpix,w,h,bz,bs,x-1,y+1);
if (pix1 > llimit || pix2 > llimit || pix3 > llimit)
return (-1);
pix1 = getpix (image,bitpix,w,h,bz,bs,x+1,y-1);
pix2 = getpix (image,bitpix,w,h,bz,bs,x+1,y);
pix3 = getpix (image,bitpix,w,h,bz,bs,x+1,y+1);
if (pix1 > llimit || pix2 > llimit || pix3 > llimit)
return (-1);
/* Check for hot pixel */
pix1 = getpix (image,bitpix,w,h,bz,bs,x-1,y);
pix3 = getpix (image,bitpix,w,h,bz,bs,x+1,y);
if (pix1 > llimit || pix3 > llimit)
return (-1);
pix1 = getpix (image,bitpix,w,h,bz,bs,x,y-1);
pix3 = getpix (image,bitpix,w,h,bz,bs,x,y+1);
if (pix1 > llimit || pix3 > llimit)
return (-1);
putpix (image, bitpix, w, h, bz, bs, x, y, llimit);
return (0);
}
/* Compute and return the radius of the star centered at x0, y0.
* A guard band is assumed to exist on the image.
* Calling program is assumed to reject object if r > rmax.
*/
static int
starRadius (imp, bitpix, w, h, bz, bs, x0, y0, b, rmax, minsig, mean)
char *imp; /* Image array origin pointer */
int bitpix; /* Bits per pixel, negative for floating point or unsigned int */
int w; /* Image width in pixels */
int h; /* Image height in pixels */
double bz; /* Zero point for pixel scaling */
double bs; /* Scale factor for pixel scaling */
int x0, y0; /* Coordinates of center pixel of star */
double b; /* Value of brightest pixel in star */
double rmax; /* Maximum allowable radius of star */
double minsig;
double *mean;
{
int r, irmax;
irmax = (int) rmax;
/* Compute star's radius.
* Scan in ever-greater circles until find one such that the peak is
* n sigma above the mean at that radius.
*/
for (r = 2; r <= irmax; r++) {
int inrr = r*r;
int outrr = (r+1)*(r+1);
int np = 0;
double sum = 0.0;
int x, y;
for (y = -r; y <= r; y++) {
int yrr = y*y;
for (x = -r; x <= r; x++) {
int xyrr = x*x + yrr;
if (xyrr >= inrr && xyrr < outrr) {
double dp;
dp = getpix (imp,bitpix,w,h,bz,bs,x0+x,y0+y);
sum += dp;
np++;
}
}
}
*mean = sum / np;
if (b > *mean + minsig)
break;
}
return (r);
}
/* Compute the fine location of the star located at [x0,y0]. */
static void
starCentroid (imp, bitpix, w, h, bz, bs, x0, y0, xp, yp)
char *imp;
int bitpix;
int w;
int h;
double bz; /* Zero point for pixel scaling */
double bs; /* Scale factor for pixel scaling */
int x0, y0;
double *xp, *yp;
{
double p1, p2, p22, p3, d;
/* Find maximum of best-fit parabola in each direction.
* see Bevington, page 210
*/
p1 = getpix (imp,bitpix,w,h,bz,bs,x0-1,y0);
p2 = getpix (imp,bitpix,w,h,bz,bs,x0,y0);
p22 = 2*p2;
p3 = getpix (imp,bitpix,w,h,bz,bs,x0+1,y0);
d = p3 - p22 + p1;
*xp = (d == 0) ? x0 : x0 + 0.5 - (p3 - p2)/d;
*xp = *xp + 1.0;
p1 = getpix (imp,bitpix,w,h,bz,bs,x0,y0-1);
p3 = getpix (imp,bitpix,w,h,bz,bs,x0,y0+1);
d = p3 - p22 + p1;
*yp = (d == 0) ? y0 : y0 + 0.5 - (p3 - p2)/d;
*yp = *yp + 1.0;
}
/* Given an image and a starting point, walk the gradient to the brightest
* pixel and return its location. we never take more maxrad away.
* Return 0 if find brightest pixel within maxsteps else -1.
*/
static int dx[8]={1,0,-1,1,-1,1,0,-1};
static int dy[8]={1,1,1,0,0,-1,-1,-1};
static int
BrightWalk (image, bitpix, w, h, bz, bs, x0, y0, maxr, xp, yp, bp)
char *image;
int bitpix;
int w;
int h;
double bz; /* Zero point for pixel scaling */
double bs; /* Scale factor for pixel scaling */
int x0;
int y0;
int maxr;
int *xp;
int *yp;
double *bp;
{
double b, tmpb, newb;
int x, y, x1, y1, i, xa, ya;
/* start by assuming seed point is brightest */
b = getpix (image,bitpix,w,h,bz,bs, x0,y0);
x = x0;
y = y0;
xa = x0;
ya = y0;
/* walk towards any brighter pixel */
for (;;) {
int newx, newy;
/* Find brightest pixel in 3x3 region */
newb = b;
for (i = 0; i < 8; i++) {
x1 = x + dx[i];
y1 = y + dy[i];
tmpb = getpix (image,bitpix,w,h,bz,bs, x1, y1);
if (tmpb >= newb) {
if (x1 == xa && y1 == ya)
break;
xa = x;
ya = y;
newx = x1;
newy = y1;
newb = tmpb;
}
}
/* If brightest pixel is one in center of region, quit */
if (newb == b)
break;
/* Otherwise, set brightest pixel to new center */
x = newx;
y = newy;
b = newb;
if (abs(x-x0) > maxr || abs(y-y0) > maxr)
return (-1);
}
*xp = x;
*yp = y;
*bp = b;
return (0);
}
/* Compute stats in the give region of the image of width w pixels.
* Bounds are not checked.
*/
static void
mean2d (image, bitpix, w, h, bz, bs, x1, x2, y1, y2, mean, sigma)
char *image;
int bitpix;
int w;
int h;
double bz; /* Zero point for pixel scaling */
double bs; /* Scale factor for pixel scaling */
int x1,x2;
int y1, y2;
double *mean;
double *sigma;
{
double p, pmin, pmax, pmean;
double sd;
int x, y;
int i;
double sum;
double dnpix;
int npix;
pmin = -1.0e20;
pmax = 1.0e20;
for (i = 0; i < niterate; i++ ) {
sum = 0.0;
npix = 0;
/* Compute mean */
for (y = y1; y < y2; y++) {
for (x = x1; x < x2; x++) {
p = getpix (image,bitpix,w,h,bz,bs, x, y);
if (p > pmin && p < pmax) {
sum += p;
npix++;
}
}
}
dnpix = (double) npix;
pmean = sum / dnpix;
/* Compute average deviation */
npix = 0;
sum = 0.0;
for (y = y1; y < y2; y++) {
for (x = x1; x < x2; x++) {
p = getpix (image,bitpix,w,h,bz,bs, x, y);
if (p > pmin && p < pmax) {
sum += fabs (p - pmean);
npix++;
}
}
}
if (npix > 0)
sd = sum / dnpix;
else
sd = 0.0;
pmin = pmean - sd * starsig;
pmax = pmean + sd * starsig;
}
*mean = pmean;
*sigma = sd;
return;
}
static void
mean1d (sv1, sv2, mean, sigma)
double *sv1, *sv2; /* starting and ending pixels for statistics */
double *mean; /* Mean value of pixels (returned) */
double *sigma; /* Average deviation of pixels (returned) */
{
double *sv;
double p, pmin, pmax, pmean;
double sd;
int i;
int npix;
double dnpix;
double sum;
pmin = -1.0e20;
pmax = 1.0e20;
/* Iterate with sigma-clipping */
for (i = 0; i < niterate; i++ ) {
npix = 0;
sum = 0.0;
/* Compute mean */
for (sv = sv1; sv < sv2; sv++) {
p = *sv;
if (p > pmin && p < pmax) {
sum += p;
npix++;
}
}
if (npix > 0) {
dnpix = (double) npix;
pmean = sum / dnpix;
}
else
pmean = 0.0;
/* Compute average deviation */
npix = 0;
sum = 0.0;
for (sv = sv1; sv < sv2; sv++) {
p = *sv;
if (p > pmin && p < pmax) {
sum += fabs (p - pmean);
npix++;
}
}
if (npix > 0)
sd = sum / dnpix;
else
sd = 0.0;
pmin = pmean - (sd * starsig);
pmax = pmean + (sd * starsig);
}
*mean = pmean;
*sigma = sd;
return;
}
/* Find total flux within a circular region minus a mean background level */
static double
FindFlux (image, bitpix, w, h, bz, bs, x0, y0, r, background)
char *image;
int bitpix;
int w;
int h;
double bz; /* Zero point for pixel scaling */
double bs; /* Scale factor for pixel scaling */
int x0;
int y0;
int r;
double background;
{
double sum = 0.0;
int x, y, x1, x2, y1, y2, yy, xxyy;
int rr = r * r;
double dp;
/* Keep X within image */
x1 = -r;
if (x0-r < 0)
x1 = 0;
x2 = r;
if (x0+r > 0)
x2 = w;
/* Keep Y within image */
y1 = -r;
if (y0-r < 0)
y1 = 0;
y2 = r;
if (y0+r > 0)
y2 = h;
/* Integrate circular region around a star */
for (y = y1; y <= y2; y++) {
yy = y*y;
for (x = x1; x <= x2; x++) {
xxyy = x*x + yy;
if (xxyy <= rr) {
dp = getpix (image, bitpix, w,h,bz,bs, x0+x, y0+y);
if (dp > background) {
sum += dp - background;
}
}
}
}
return (sum);
}
/* Reset parameter values from the command line */
void
setparm (parstring)
char *parstring;
{
char *parname;
char *parvalue;
parname = parstring;
if ((parvalue = strchr (parname,'=')) == NULL)
return;
*parvalue = (char) 0;
parvalue++;
if (!strcmp (parname, "nstatpix") ||
!strcmp (parname, "nspix"))
setnspix (atoi (parvalue));
else if (!strcmp (parname, "istatpix") ||
!strcmp (parname, "ispix"))
setispix (atoi (parvalue));
else if (!strcmp (parname, "niterate") ||
!strcmp (parname, "niter"))
setniterate (atoi (parvalue));
else if (!strcmp (parname, "border"))
setborder (atoi (parvalue));
else if (!strcmp (parname, "maxrad"))
setmaxrad (atoi (parvalue));
else if (!strcmp (parname, "minrad"))
setminrad (atoi (parvalue));
else if (!strcmp (parname, "starsig"))
setstarsig (atof (parvalue));
else if (!strcmp (parname, "maxwalk"))
setmaxwalk (atoi (parvalue));
else if (!strcmp (parname, "minsep"))
setminsep (atoi (parvalue));
else if (!strcmp (parname, "minpeak"))
setbmin (atof (parvalue));
return;
}
/* May 21 1996 Return peak flux in counts
* May 22 1996 Add arguments so GETPIX and PUTPIX can check coordinates
* Jun 6 1996 Change name from findStars to FindStars
* Jun 12 1996 Remove unused variables after using lint
* Jun 13 1996 Removed leftover free of image
* Aug 6 1996 Fixed small defects after lint
* Aug 26 1996 Drop unused variables NH and NW
* Aug 30 1996 Modify sigma computation; allow border to be set
* Sep 1 1996 Set constants in lvimoswcs.h
* Oct 15 1996 Drop unused variables
* Dec 10 1996 Check for hot columns as well as hot rows
* Dec 10 1996 Add option to read image stars from DAOFIND file
*
* Mar 20 1997 Declare external subroutine DAOREAD
* Nov 6 1997 Add subroutine to return image catalog filename
* Dec 15 1997 Change calls to ABS to FABS when doubles are involved
*
* May 27 1998 Include imio.h
* Jul 30 1998 Deal with too-small sigmas
*
* Feb 4 1999 Keep overexposed (pixel value > BURNEDOUT) stars
* Apr 26 1999 Fix Bright Walk() to slide along bleeding rows or columns
* Apr 28 1999 Add scaling to getpix and getvec
* Jun 11 1999 Add parameter setting subroutine
* Oct 21 1999 Drop unused variables and fix sigma usage after lint
* Oct 25 1999 Fix mean loop to avoid bad pointer creation
* Oct 29 1999 Read image star positions from tab table or DAOPHOT table
* Nov 23 1999 Lengthen imcatname from 32 to 256 for long pathnames
*
* Mar 27 2000 Drop unused variable imtab
*
* Jan 18 2001 Use trim section from image header, if not trimmed
*/
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