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|
/*
* peaks.c
*
* Peak search and other image analysis
*
* (c) 2006-2010 Thomas White <taw@physics.org>
*
* Part of CrystFEL - crystallography with a FEL
*
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <assert.h>
#include <gsl/gsl_statistics_int.h>
#include <pthread.h>
#include <fenv.h>
#include "image.h"
#include "utils.h"
#include "index.h"
#include "peaks.h"
#include "detector.h"
#include "filters.h"
#include "diffraction.h"
#define MAX_HITS (1024)
/* How close a peak must be to an indexed position to be considered "close"
* for the purposes of double hit detection and sanity checking. */
#define PEAK_CLOSE (30.0)
/* How close a peak must be to an indexed position to be considered "close"
* for the purposes of integration. */
#define PEAK_REALLY_CLOSE (10.0)
/* Degree of polarisation of X-ray beam */
#define POL (1.0)
#define PEAK_WINDOW_SIZE (10)
#define MAX_PEAKS (2048)
#define INTEGRATION_RADIUS (10)
static int is_hot_pixel(struct image *image, int x, int y)
{
int dx, dy;
int w, v;
w = image->width;
v = (1*image->data[x+w*y])/2;
if ( x+1 >= image->width ) return 0;
if ( x-1 < 0 ) return 0;
if ( y+1 >= image->height ) return 0;
if ( y-1 < 0 ) return 0;
/* Must be at least one adjacent bright pixel */
for ( dx=-1; dx<=+1; dx++ ) {
for ( dy=-1; dy<=+1; dy++ ) {
if ( (dx==0) && (dy==0) ) continue;
if ( image->data[(x+dx)+w*(y+dy)] >= v ) return 0;
}
}
return 1;
}
static int cull_peaks_in_panel(struct image *image, struct panel *p)
{
int i, n;
int nelim = 0;
n = image_feature_count(image->features);
for ( i=0; i<n; i++ ) {
struct imagefeature *f;
int j, ncol;
f = image_get_feature(image->features, i);
if ( f == NULL ) continue;
if ( f->x < p->min_x ) continue;
if ( f->x > p->max_x ) continue;
if ( f->y < p->min_y ) continue;
if ( f->y > p->max_y ) continue;
/* How many peaks are in the same column? */
ncol = 0;
for ( j=0; j<n; j++ ) {
struct imagefeature *g;
if ( i==j ) continue;
g = image_get_feature(image->features, j);
if ( g == NULL ) continue;
if ( p->badrow == 'x' ) {
if ( fabs(f->y - g->y) < 2.0 ) ncol++;
} else if ( p->badrow == 'y' ) {
if ( fabs(f->x - g->x) < 2.0 ) ncol++;
} else {
ERROR("Invalid badrow direction.\n");
abort();
}
}
/* More than three? */
if ( ncol <= 3 ) continue;
/* Yes? Delete them all... */
nelim = 0;
for ( j=0; j<n; j++ ) {
struct imagefeature *g;
g = image_get_feature(image->features, j);
if ( g == NULL ) continue;
if ( p->badrow == 'x' ) {
if ( fabs(f->y - g->y) < 2.0 ) {
image_remove_feature(image->features,
j);
nelim++;
}
} else if ( p->badrow == 'y' ) {
if ( fabs(f->x - g->x) < 2.0 ) {
image_remove_feature(image->features,
j);
nelim++;
}
} else {
ERROR("Invalid badrow direction.\n");
abort();
}
}
}
return nelim;
}
/* Post-processing of the peak list to remove noise */
static int cull_peaks(struct image *image)
{
int nelim = 0;
struct panel *p;
int i;
for ( i=0; i<image->det->n_panels; i++ ) {
p = &image->det->panels[i];
nelim += cull_peaks_in_panel(image, p);
}
return nelim;
}
/* Returns non-zero if peak has been vetoed.
* i.e. don't use result if return value is not zero. */
int integrate_peak(struct image *image, int xp, int yp,
float *xc, float *yc, float *intensity,
int do_polar, int do_sa)
{
signed int x, y;
const int lim = INTEGRATION_RADIUS * INTEGRATION_RADIUS;
double total = 0;
int xct = 0;
int yct = 0;
for ( x=-INTEGRATION_RADIUS; x<+INTEGRATION_RADIUS; x++ ) {
for ( y=-INTEGRATION_RADIUS; y<+INTEGRATION_RADIUS; y++ ) {
struct panel *p = NULL;
double val, sa, pix_area, Lsq, dsq, proj_area;
float tt = 0.0;
double phi, pa, pb, pol;
uint16_t flags;
/* Circular mask */
if ( x*x + y*y > lim ) continue;
if ( ((x+xp)>=image->width) || ((x+xp)<0) ) continue;
if ( ((y+yp)>=image->height) || ((y+yp)<0) ) continue;
/* Veto this peak if we tried to integrate in a bad region */
if ( image->flags != NULL ) {
flags = image->flags[(x+xp)+image->width*(y+yp)];
if ( !(flags & 0x01) ) return 1;
}
val = image->data[(x+xp)+image->width*(y+yp)];
p = find_panel(image->det, x+xp, y+yp);
if ( p == NULL ) return 1;
if ( p->no_index ) return 1;
if ( do_sa ) {
/* Area of one pixel */
pix_area = pow(1.0/p->res, 2.0);
Lsq = pow(p->clen, 2.0);
/* Area of pixel as seen from crystal (approximate) */
tt = get_tt(image, x+xp, y+yp);
proj_area = pix_area * cos(tt);
/* Calculate distance from crystal to pixel */
dsq = pow(((double)(x+xp) - p->cx) / p->res, 2.0);
dsq += pow(((double)(y+yp) - p->cy) / p->res, 2.0);
/* Projected area of pixel divided by distance squared */
sa = 1.0e7 * proj_area / (dsq + Lsq);
val /= sa;
}
if ( do_polar ) {
if ( !do_sa ) tt = get_tt(image, x+xp, y+yp);
phi = atan2(y+yp, x+xp);
pa = pow(sin(phi)*sin(tt), 2.0);
pb = pow(cos(tt), 2.0);
pol = 1.0 - 2.0*POL*(1-pa) + POL*(1.0+pb);
val /= pol;
}
total += val;
xct += val*(xp+x);
yct += val*(yp+y);
}
}
/* The centroid is excitingly undefined if there is no intensity */
if ( total != 0 ) {
*xc = (float)xct / total;
*yc = (float)yct / total;
*intensity = total;
} else {
*xc = (float)xp;
*yc = (float)yp;
*intensity = 0;
}
return 0;
}
void search_peaks(struct image *image, float threshold)
{
int x, y, width, height;
float *data;
double d;
int idx;
float fx = 0.0;
float fy = 0.0;
float intensity = 0.0;
int nrej_dis = 0;
int nrej_hot = 0;
int nrej_pro = 0;
int nrej_fra = 0;
int nrej_bad = 0;
int nacc = 0;
int ncull;
data = image->data;
width = image->width;
height = image->height;
if ( image->features != NULL ) {
image_feature_list_free(image->features);
}
image->features = image_feature_list_new();
for ( x=1; x<image->width-1; x++ ) {
for ( y=1; y<image->height-1; y++ ) {
double dx1, dx2, dy1, dy2;
double dxs, dys;
double grad;
int mask_x, mask_y;
int sx, sy;
double max;
unsigned int did_something;
int r;
/* Overall threshold */
if ( data[x+width*y] < threshold ) continue;
/* Get gradients */
dx1 = data[x+width*y] - data[(x+1)+width*y];
dx2 = data[(x-1)+width*y] - data[x+width*y];
dy1 = data[x+width*y] - data[(x+1)+width*(y+1)];
dy2 = data[x+width*(y-1)] - data[x+width*y];
/* Average gradient measurements from both sides */
dxs = ((dx1*dx1) + (dx2*dx2)) / 2;
dys = ((dy1*dy1) + (dy2*dy2)) / 2;
/* Calculate overall gradient */
grad = dxs + dys;
if ( grad < 100000 ) continue;
mask_x = x;
mask_y = y;
do {
max = data[mask_x+width*mask_y];
did_something = 0;
for ( sy=biggest(mask_y-PEAK_WINDOW_SIZE/2, 0);
sy<smallest(mask_y+PEAK_WINDOW_SIZE/2, height-1);
sy++ ) {
for ( sx=biggest(mask_x-PEAK_WINDOW_SIZE/2, 0);
sx<smallest(mask_x+PEAK_WINDOW_SIZE/2, width-1);
sx++ ) {
if ( data[sx+width*sy] > max ) {
max = data[sx+width*sy];
mask_x = sx;
mask_y = sy;
did_something = 1;
}
}
}
/* Abort if drifted too far from the foot point */
if ( distance(mask_x, mask_y, x, y) > 50.0 ) break;
} while ( did_something );
/* Too far from foot point? */
if ( distance(mask_x, mask_y, x, y) > 50.0 ) {
nrej_dis++;
continue;
}
/* Should be enforced by bounds used above. Muppet check. */
assert(mask_x < image->width);
assert(mask_y < image->height);
assert(mask_x >= 0);
assert(mask_y >= 0);
/* Isolated hot pixel? */
if ( is_hot_pixel(image, mask_x, mask_y) ) {
nrej_hot++;
continue;
}
/* Centroid peak and get better coordinates.
* Don't bother doing polarisation/SA correction, because the
* intensity of this peak is only an estimate at this stage. */
r = integrate_peak(image, mask_x, mask_y,
&fx, &fy, &intensity, 0, 0);
if ( r ) {
/* Bad region - don't detect peak */
nrej_bad++;
continue;
}
/* It is possible for the centroid to fall outside the image */
if ( (fx < 0.0) || (fx > image->width)
|| (fy < 0.0) || (fy > image->height) ) {
nrej_fra++;
continue;
}
/* Check for a nearby feature */
image_feature_closest(image->features, fx, fy, &d, &idx);
if ( d < 15.0 ) {
nrej_pro++;
continue;
}
/* Add using "better" coordinates */
image_add_feature(image->features, fx, fy, image, intensity,
NULL);
nacc++;
}
}
if ( image->det != NULL ) {
ncull = cull_peaks(image);
nacc -= ncull;
} else {
STATUS("Not culling peaks because I don't have a "
"detector geometry file.\n");
ncull = 0;
}
STATUS("%i accepted, %i box, %i hot, %i proximity, %i outside frame, "
"%i in bad regions, %i badrow culled.\n",
nacc, nrej_dis, nrej_hot, nrej_pro, nrej_fra, nrej_bad, ncull);
}
void dump_peaks(struct image *image, pthread_mutex_t *mutex)
{
int i;
/* Get exclusive access to the output stream if necessary */
if ( mutex != NULL ) pthread_mutex_lock(mutex);
printf("Peaks from peak search in %s\n", image->filename);
printf(" x/px y/px (1/d)/nm^-1 Intensity\n");
for ( i=0; i<image_feature_count(image->features); i++ ) {
double q, rx, ry, rz;
struct imagefeature *f;
f = image_get_feature(image->features, i);
if ( f == NULL ) continue;
map_position(image, f->x, f->y, &rx, &ry, &rz);
q = modulus(rx, ry, rz);
printf("%8.3f %8.3f %8.3f %12.3f\n",
f->x, f->y, q/1.0e9, f->intensity);
}
printf("\n");
if ( mutex != NULL ) pthread_mutex_unlock(mutex);
}
int find_projected_peaks(struct image *image, UnitCell *cell,
int circular_domain, double domain_r)
{
int x, y;
double ax, ay, az;
double bx, by, bz;
double cx, cy, cz;
struct reflhit *hits;
int n_hits = 0;
double alen, blen, clen;
hits = malloc(sizeof(struct reflhit)*MAX_HITS);
if ( hits == NULL ) return 0;
/* "Borrow" direction values to get reciprocal lengths */
cell_get_reciprocal(cell, &ax, &ay, &az, &bx, &by, &bz, &cx, &cy, &cz);
alen = modulus(ax, ay, az);
blen = modulus(bx, by, bz);
clen = modulus(cx, cy, cz);
cell_get_cartesian(cell, &ax, &ay, &az, &bx, &by, &bz, &cx, &cy, &cz);
fesetround(1); /* Round towards nearest */
for ( x=0; x<image->width; x++ ) {
for ( y=0; y<image->height; y++ ) {
double hd, kd, ld; /* Indices with decimal places */
double dh, dk, dl; /* Distances in h,k,l directions */
signed int h, k, l;
struct rvec q;
double dist;
int found = 0;
int j;
q = get_q(image, x, y, 1, NULL, 1.0/image->lambda);
hd = q.u * ax + q.v * ay + q.w * az;
kd = q.u * bx + q.v * by + q.w * bz;
ld = q.u * cx + q.v * cy + q.w * cz;
h = lrint(hd);
k = lrint(kd);
l = lrint(ld);
dh = hd - h;
dk = kd - k;
dl = ld - l;
if ( circular_domain ) {
/* Circular integration domain */
dist = sqrt(pow(dh*alen, 2.0) + pow(dk*blen, 2.0)
+ pow(dl*clen, 2.0));
if ( dist > domain_r ) continue;
} else {
/* "Crystallographic" integration domain */
dist = sqrt(pow(dh, 2.0) + pow(dk, 2.0) + pow(dl, 2.0));
if ( dist > domain_r ) continue;
}
for ( j=0; j<n_hits; j++ ) {
if ( (hits[j].h == h) && (hits[j].k == k)
&& (hits[j].l == l) ) {
if ( dist < hits[j].min_distance ) {
hits[j].min_distance = dist;
hits[j].x = x;
hits[j].y = y;
}
found = 1;
}
}
if ( !found ) {
hits[n_hits].min_distance = dist;
hits[n_hits].x = x;
hits[n_hits].y = y;
hits[n_hits].h = h;
hits[n_hits].k = k;
hits[n_hits].l = l;
n_hits++;
assert(n_hits < MAX_HITS);
}
}
}
STATUS("Found %i reflections\n", n_hits);
image->hits = hits;
image->n_hits = n_hits;
return n_hits;
}
int peak_sanity_check(struct image *image, UnitCell *cell,
int circular_domain, double domain_r)
{
int i;
int n_sane = 0;
find_projected_peaks(image, cell, circular_domain, domain_r);
if ( image->n_hits == 0 ) return 0; /* Failed sanity check: no peaks */
for ( i=0; i<image->n_hits; i++ ) {
double d;
int idx;
struct imagefeature *f;
f = image_feature_closest(image->features,
image->hits[i].x, image->hits[i].y,
&d, &idx);
if ( (f != NULL) && (d < PEAK_CLOSE) ) {
n_sane++;
}
}
STATUS("Sanity factor: %f / %f = %f\n", (float)n_sane,
(float)image->n_hits,
(float)n_sane / (float)image->n_hits);
if ( (float)n_sane / (float)image->n_hits < 0.8 ) return 0;
return 1;
}
void output_intensities(struct image *image, UnitCell *cell,
pthread_mutex_t *mutex, int polar, int sa,
int use_closer, int circular_domain, double domain_r)
{
int i;
int n_found;
int n_indclose = 0;
int n_foundclose = 0;
int n_veto = 0;
int n_veto_second = 0;
double asx, asy, asz;
double bsx, bsy, bsz;
double csx, csy, csz;
double a, b, c, al, be, ga;
if ( image->n_hits == 0 ) {
find_projected_peaks(image, cell, circular_domain, domain_r);
}
if ( image->n_hits == 0 ) return;
/* Get exclusive access to the output stream if necessary */
if ( mutex != NULL ) pthread_mutex_lock(mutex);
/* Explicit printf() used here (not normally allowed) because
* we really want to output to stdout */
printf("Reflections from indexing in %s\n", image->filename);
printf("Orientation (wxyz): %7.5f %7.5f %7.5f %7.5f\n",
image->orientation.w, image->orientation.x,
image->orientation.y, image->orientation.z);
cell_get_parameters(cell, &a, &b, &c, &al, &be, &ga);
printf("Cell parameters %7.5f %7.5f %7.5f nm, %7.5f %7.5f %7.5f deg\n",
a*1.0e9, b*1.0e9, c*1.0e9,
rad2deg(al), rad2deg(be), rad2deg(ga));
cell_get_reciprocal(cell, &asx, &asy, &asz,
&bsx, &bsy, &bsz,
&csx, &csy, &csz);
printf("astar = %+9.7f %+9.7f %+9.7f nm^-1\n",
asx/1e9, asy/1e9, asz/1e9);
printf("bstar = %+9.7f %+9.7f %+9.7f nm^-1\n",
bsx/1e9, bsy/1e9, bsz/1e9);
printf("cstar = %+9.7f %+9.7f %+9.7f nm^-1\n",
csx/1e9, csy/1e9, csz/1e9);
if ( image->f0_available ) {
printf("f0 = %7.5f (arbitrary gas detector units)\n",
image->f0);
} else {
printf("f0 = invalid\n");
}
for ( i=0; i<image->n_hits; i++ ) {
float x, y, intensity;
double d;
int idx;
/* Wait.. is there a really close feature which was detected? */
if ( use_closer ) {
struct imagefeature *f;
if ( image->features != NULL ) {
f = image_feature_closest(image->features,
image->hits[i].x,
image->hits[i].y,
&d, &idx);
} else {
f = NULL;
}
if ( (f != NULL) && (d < PEAK_REALLY_CLOSE) ) {
int r;
/* f->intensity was measured on the filtered
* pattern, so instead re-integrate using old
* coordinates. This will produce further
* revised coordinates. */
r = integrate_peak(image, f->x, f->y, &x, &y,
&intensity, polar, sa);
if ( r ) {
/* The original peak (which also went
* through integrate_peak(), but with
* the mangled image data) would have
* been rejected if it was in a bad
* region. Integration of the same
* peak included a bad region this time.
*/
n_veto_second++;
continue;
}
intensity = f->intensity;
} else {
int r;
r = integrate_peak(image,
image->hits[i].x,
image->hits[i].y,
&x, &y, &intensity, polar,
sa);
if ( r ) {
/* Plain old ordinary peak veto */
n_veto++;
continue;
}
}
if ( (f != NULL) && (d < PEAK_CLOSE) ) {
n_indclose++;
}
} else {
int r;
r = integrate_peak(image,
image->hits[i].x,
image->hits[i].y,
&x, &y, &intensity, polar,
sa);
if ( r ) {
/* Plain old ordinary peak veto */
n_veto++;
continue;
}
}
/* Write h,k,l, integrated intensity and centroid coordinates */
printf("%3i %3i %3i %6f (at %5.2f,%5.2f)\n",
image->hits[i].h, image->hits[i].k, image->hits[i].l,
intensity, x, y);
image->hits[i].x = x;
image->hits[i].y = y;
}
n_found = image_feature_count(image->features);
for ( i=0; i<n_found; i++ ) {
struct imagefeature *f;
int j;
f = image_get_feature(image->features, i);
if ( f == NULL ) continue;
for ( j=0; j<image->n_hits; j++ ) {
double d;
d = pow(image->hits[j].x-f->x, 2.0)
+ pow(image->hits[j].y-f->y, 2.0);
if ( d < PEAK_CLOSE ) n_foundclose++;
}
}
printf("Peak statistics: %i peaks found by the peak search out of "
"%i were close to indexed positions. "
"%i indexed positions out of %i were close to detected peaks.\n",
n_foundclose, n_found, n_indclose, image->n_hits);
printf("%i integrations using indexed locations were aborted because "
"they hit one or more bad pixels.\n", n_veto);
printf("%i integrations using peak search locations were aborted "
"because they hit one or more bad pixels.\n", n_veto_second);
/* Blank line at end */
printf("\n");
if ( mutex != NULL ) pthread_mutex_unlock(mutex);
}
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