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/* $Id: vmimgresampling.c,v 1.2 2013-03-25 11:43:04 cgarcia Exp $
*
* This file is part of the VIMOS Pipeline
* Copyright (C) 2002-2004 European Southern Observatory
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
/*
* $Author: cgarcia $
* $Date: 2013-03-25 11:43:04 $
* $Revision: 1.2 $
* $Name: not supported by cvs2svn $
*/
#ifdef HAVE_CONFIG_H
# include <config.h>
#endif
#include <math.h>
#include <assert.h>
#include <vimoswcs.h>
#include <piltranslator.h>
#include <pilmessages.h>
#include <cpl_msg.h>
#include "vmimage.h"
#include "vmimagearray.h"
#include "vmwcsutils.h"
#include "vmimgresampling.h"
#define BI_LINEAR 1
#define BI_CUBIC 2
/*
* @brief
* Swap two double values.
*
* @return Nothing.
*
* @param a Pointer to first value
* @param b Pointer to second value
*
* The function exchanges the double values stored in @em a and @em b
* in place.
*
* @author P. Montegriffo
*/
/*
* This one is no longer necessary, after fixing the getFieldOfView()
*
static void swap(double *a, double *b)
{
double dmp = *a;
*a = *b;
*b = dmp;
return;
}
*********/
/*
* @brief
* Compute an interpolated value.
*
* @return The interpolated value.
*
* @param image Image pixel buffer.
* @param nx Number of image pixels along x.
* @param ny Number of image pixels along y.
* @param ifunc Selection flag for the interpolation function.
* @param x x coordinate of point to interpolate
* @param y y coordinate of point to interpolate
*
* The function omputes an interpolated value at a position given by @em x
* and @em y using a bi-linear or a bi-cubic interpolation function. The
* interpolation function is selected by the flag @em ifunc. Passing 2 for
* @em ifunc selects the bi-cubic interpolation. Any other value selects
* the bi-linear interpolation function.
*
* @note
* Coefficents and formulae for the bi-cubic interpolation are taken from
* 'Numerical Recipes', II Ed., p. 119f.
*
* @author P. Montegriffo
*/
static double interpolate(float *image, int nx, int ny, int ifunc,
double x, double y)
{
int i, j, ii, kk;
int ind[4];
double val;
double v[16], t, u;
double xx, c[16];
static int wt[16][16] = {
{1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
{0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0},
{-3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0},
{2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0},
{0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0},
{0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0},
{0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1},
{0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1},
{-3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0},
{0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0},
{9,-9,9,-9,6,3,-3,-6,6,-6,-3,3,4,2,1,2},
{-6,6,-6,6,-4,-2,2,4,-3,3,3,-3,-2,-1,-1,-2},
{2,-2,0,0,1,1,0,0,0,0,0,0,0,0,0,0},
{0,0,0,0,0,0,0,0,2,-2,0,0,1,1,0,0},
{-6,6,-6,6,-3,-3,3,3,-4,4,2,-2,-2,-2,-1,-1},
{4,-4,4,-4,2,2,-2,-2,2,-2,-2,2,1,1,1,1}
};
val = 0.0; /*** Value for undefined pixels ***/
i = (int) floor (x);
j = (int) floor (y);
if (i <= 0 || j <= 0 || i >= nx - 1 || j >= ny - 1 )
return (0.0);
/* Indexes for 4 closest neighbors positions */
ind[0] = nx * j + i;
ind[1] = nx * j + i + 1;
ind[2] = nx * (j + 1) + i + 1;
ind[3] = nx * (j + 1) + i;
/* Values for 4 closest neighbors pixels */
for (ii = 0; ii < 4; ii++) {
v[ii] = *(image + ind[ii]);
/* FIXME:
* What's the use of this print statment, especially since the
* hardcoded values for x and y do not correspond to the size
* of a VIMOS image. Did I miss something. (RP)
*
* Temporarily disabled, since not present in the original version. (RP)
*/
/*
if ((y >= 2015.) && (y <= 2016.) && (x >= 2041.0)) {
printf("ii= %d, ind[ii]=%d, v[ii]=%f\n", ii, ind[ii],
*(image + ind[ii]));
}
*/
}
t = x - (double) i;
u = y - (double) j;
switch (ifunc) {
case BI_CUBIC:
if ( i <= 1 || j <= 1 || i >= nx - 2 || j >= ny - 2 )
return (0.0);
/* Compute the gradients along x,y and the cross derivative */
for (ii = 0; ii < 4; ii++) {
v[ii + 4] = (*(image + ind[ii] + 1) -
*(image +ind[ii] - 1)) / 2.0;
v[ii + 8] = (*(image + ind[ii] + nx) -
*(image + ind[ii] - nx)) / 2.0;
v[ii + 12] = (*(image + ind[ii] + nx + 1) -
*(image + ind[ii] - nx + 1) -
*(image+ind[ii]+nx-1) +
*(image+ind[ii]-nx-1)) / 4.0;
}
/* Get coefficents for bicubic interpolation */
for (ii = 0; ii < 16; ii++) {
xx = 0.0;
for (kk=0; kk<16; kk++)
xx += wt[ii][kk]*v[kk];
c[ii] = xx;
}
/* Compute interpolated value */
for (ii = 3; ii >= 0; ii--)
val = t * val + ((c[ii * 4 + 3] * u + c[ii * 4 + 2]) * u +
c[ii * 4 + 1]) * u + c[ii * 4];
break;
default:
val = (double)( (1.0 - t) * (1.0 - u) * v[0]
+ t * (1.0 - u) * v[1]
+ t * u * v[2]
+(1.0 - t) * u * v[3] );
/* FIXME:
* What's the use of this print statment, especially since the
* hardcoded values for x and y do not correspond to the size
* of a VIMOS image. Did I miss something. (RP)
*
* Temporarily disabled, since not present in the original
* version. (RP)
*/
/*
if (y >= 2015. && y <= 2016. && x >= 2041.0) {
printf("bi_linear: i=%d, j=%d, t=%f, u=%f, val=%f, v[0]=%f, "
"v[1]=%f, v[2]=%f, v[3]=%f\n", i, j, t, u, val, v[0],
v[1], v[2], v[3]);
}
*/
break;
}
return (val);
}
/**
* @brief
* Determine the total field of view of a set of images.
*
* @return The function returns a pointer to the WCS structure of the
* reference image if no error occurred, otherwise @c NULL is returned.
*
* @param images Set of images.
* @param ra1 Start right ascension of the field of view.
* @param dec1 Start declination of the field of view.
* @param ra2 End right ascension of the field of view.
* @param dec2 End declination of the field of view.
*
* The function determines the union of the sky regions covered by the
* images in the input array @em images. The first image in the input
* array is, arbitrarily choosen, as reference, and is returned if
* the field of view determination was successful.
*
* @author P. Montegriffo, R. Palsa
*/
/* Remove, because of wrongly computed FOV: the pixel having
* simultaneously the max observed RA and Dec is not necessarily
* at the corner of the union of all images (think of the case
* when the field is rotated); the same is true for the pixel
* having simultaneously the min observed RA and Dec.
*
static struct WorldCoor *getFieldOfView(VimosImageArray *images,
double *ra1, double *dec1,
double *ra2, double *dec2)
{
int i;
double wra1, wra2, wdec1, wdec2;
struct WorldCoor *wcs_r = 0L;
struct WorldCoor *wcs_w = 0L;
VimosImage *image = (VimosImage *)imageArrayGet(images, 0);
*
* Read reference WCS from the first (arbitrarily choosen) image
* in the list.
*
if (!(wcs_r = rdimage(image->descs)))
return 0L;
vimoswcsrange(wcs_r, ra1, ra2, dec1, dec2);
for (i = 1; i < imageArraySize(images); i++) {
image = (VimosImage *)imageArrayGet(images, i);
if (!(wcs_w = rdimage(image->descs))) {
vimoswcsfree(wcs_r);
return 0L;
}
vimoswcsrange (wcs_w, &wra1, &wra2, &wdec1, &wdec2);
*ra1 = wra1 < *ra1 ? wra1 : *ra1;
*ra2 = wra2 > *ra2 ? wra2 : *ra2;
*dec1 = wdec1 < *dec1 ? wdec1 : *dec1;
*dec2 = wdec2 > *dec2 ? wdec2 : *dec2;
vimoswcsfree(wcs_w);
}
return wcs_r;
}
**********/
/*
* This is the new version to compute the FOV. That is, this is
* the one that really finds it.
*/
static struct WorldCoor *getFieldOfViewNew(VimosImageArray *images,
double *xpix1, double *ypix1,
double *xpix2, double *ypix2)
{
int offscl;
int i;
double ra1, ra2, dec1, dec2;
double xmin, ymin, xmax, ymax;
double x, y;
struct WorldCoor *wcs_r = 0L;
struct WorldCoor *wcs_w = 0L;
VimosImage *image = (VimosImage *)imageArrayGet(images, 0);
/*
* Read reference WCS from the first (arbitrarily choosen) image
* in the list.
*/
if (!(wcs_r = rdimage(image->descs)))
return 0L;
xmin = 1.0;
ymin = 1.0;
xmax = wcs_r->nxpix;
ymax = wcs_r->nypix;
for (i = 1; i < imageArraySize(images); i++) {
image = (VimosImage *)imageArrayGet(images, i);
if (!(wcs_w = rdimage(image->descs))) {
vimoswcsfree(wcs_r);
return 0L;
}
pix2vimoswcs(wcs_w, 1., 1., &ra1, &dec1);
pix2vimoswcs(wcs_w, wcs_w->nxpix, wcs_w->nypix, &ra2, &dec2);
vimoswcs2pix(wcs_r, ra1, dec1, &x, &y, &offscl);
if (x < xmin)
xmin = x;
if (y < ymin)
ymin = y;
vimoswcs2pix(wcs_r, ra2, dec2, &x, &y, &offscl);
if (x > xmax)
xmax = x;
if (y > ymax)
ymax = y;
vimoswcsfree(wcs_w);
}
*xpix1 = xmin;
*ypix1 = ymin;
*xpix2 = xmax;
*ypix2 = ymax;
return wcs_r;
}
/**
* @brief
* Setup a new world coordinate system.
*
* @return The function returns a reference to the newly created WCS
* structure if no error occurred, otherwise the return value is
* @c NULL.
*
* @param wcs Reference world coordinate system.
* @param ra1 Start right ascension of the field of view.
* @param dec1 Start declination of the field of view.
* @param ra2 End right ascension of the field of view.
* @param dec2 End declination of the field of view.
*
* The functions computes the pixel position of corners of the field of
* view given by @em ra1, @em dec1 and @em ra2, @em dec2 with respect
* to the coordinate system defined by @em wcs. The pixel coordinates
* of the reference pixel defined by @em wcs are adjusted accordingly.
*
* @author P. Montegriffo
*/
/*
* This function is outdated, after fixing the getFieldOfView().
*
static struct WorldCoor *setupWcs(struct WorldCoor *wcs, double ra1,
double dec1, double ra2, double dec2)
{
int offscl;
double xpix1, ypix1, xpix2, ypix2;
double crpix1, crpix2;
struct WorldCoor *wcs_r = 0L;
* Initialize returning structure *
* FIXME:
* The original code sets the CD matrix to NULL, so that wcskinit()
* ignores it and uses the values from CDELTi and CROTAi instead
* to setup the WCS structure. But note that the original code
* used a hardcoded 0.0 for the rotation angle.
*
* Check if this was done on purpose. There was no hint about that
* in the original code. (RP)
*
* Original code follows:
*
* double * cd = NULL;
* double crota = 0.0;
*
* .
* .
* .
*
* wcs_r = wcskinit((int)wcs->nxpix, (int)wcs->nypix,
* "RA---TAN", "DEC--TAN",
* wcs->crpix[0], wcs->crpix[1],
* wcs->crval[0], wcs->crval[1], cd,
* wcs->cdelt[0], wcs->cdelt[1], crota,
* (int)wcs->equinox, wcs->epoch);
*
*
wcs_r = wcskinit((int)wcs->nxpix, (int)wcs->nypix,
"RA---TAN", "DEC--TAN",
wcs->crpix[0], wcs->crpix[1],
wcs->crval[0], wcs->crval[1], wcs->cd,
0., 0., 0., (int)wcs->equinox, wcs->epoch);
if (!wcs_r)
return 0L;
* Compute corner pixels coordinates in the new framework *
wcs2pix(wcs_r, ra1, dec1, &xpix1, &ypix1, &offscl);
wcs2pix(wcs_r, ra2, dec2, &xpix2, &ypix2, &offscl);
if (xpix1 > xpix2)
swap(&xpix1, &xpix2);
if (ypix1 > ypix2)
swap(&ypix1, &ypix2);
* Set new image dimensions and reference pixel *
* FIXME:
* The original code had the following 2 line just before
* the 2 floor() calls below.
*
* wcs_r->nxpix = nint(xpix2) - nint(xpix1) + 1.0;
* wcs_r->nypix = nint(ypix2) - nint(ypix1) + 1.0;
*
* They had no effect since their result was overwritten by the
* two calls to floor(). Anyway the function nint() is not available
* on every system, it belongs to the sunmath library available
* on SUNs. So if this alternative should be used it can be emulated by
*
* wcs_r->nxpix = (int)(xpix2 + 0.5) - (int)(xpix1 + 0.5) + 1.0;
* wcs_r->nypix = (int)(ypix2 + 0.5) - (int)(ypix1 + 0.5) + 1.0;
*
wcs_r->nxpix = floor(xpix2 - xpix1 + 1.0);
wcs_r->nypix = floor(ypix2 - ypix1 + 1.0);
crpix1 = wcs_r->crpix[0] - floor(xpix1);
crpix2 = wcs_r->crpix[1] - floor(ypix1);
if (wcsreset(wcs_r, crpix1, crpix2, wcs_r->crval[0], wcs_r->crval[1],
wcs_r->cdelt[0], wcs_r->cdelt[1], 0., wcs_r->cd)) {
wcsfree(wcs_r);
return 0L;
}
return wcs_r;
}
****************/
/*
* This is the new function replacing the above one - note how
* simple it is...
*/
static struct WorldCoor *setupWcsNew(struct WorldCoor *wcs, double xpix1,
double ypix1, double xpix2, double ypix2)
{
double crpix1, crpix2;
wcs->nxpix = floor(xpix2 - xpix1 + 1.0);
wcs->nypix = floor(ypix2 - ypix1 + 1.0);
crpix1 = wcs->crpix[0] - floor(xpix1);
crpix2 = wcs->crpix[1] - floor(ypix1);
if (vimoswcsreset(wcs, crpix1, crpix2, wcs->crval[0], wcs->crval[1],
wcs->cdelt[0], wcs->cdelt[1], 0., wcs->cd)) {
return 0L;
}
return wcs;
}
/**
* @brief
* Update an image keyword list with a new world coordinate system.
*
* @return The function returns 0 if the keyword list was updated
* successfully, otherwise 1 is returned.
*
* @param image Image object.
* @param wcs WCS information.
*
* The function updates the world coordinate system related keywords
* @li CRPIX1,
* @li CRPIX2,
* @li CRVAL1,
* @li CRVAL2,
* and the CD matrix coefficients of the image @em image, i.e. it's keyword
* list, with the new values taken from @em wcs. If the keyword do not
* exist they are created.
*
* @author P. Sartoretti
*/
static int updateWcsKeywords(VimosImage *image, struct WorldCoor *wcs)
{
register int i, j, k;
if (writeDoubleDescriptor(&image->descs,
pilTrnGetKeyword("Crpix", 1), wcs->xrefpix,
pilTrnGetComment("Crpix")) == VM_FALSE) {
return 1;
}
if (writeDoubleDescriptor(&image->descs,
pilTrnGetKeyword("Crpix", 2), wcs->yrefpix,
pilTrnGetComment("Crpix")) == VM_FALSE) {
return 1;
}
if (writeDoubleDescriptor(&image->descs,
pilTrnGetKeyword("Crval", 1), wcs->xref,
pilTrnGetComment("Crval")) == VM_FALSE) {
return 1;
}
if (writeDoubleDescriptor(&image->descs,
pilTrnGetKeyword("Crval", 2), wcs->yref,
pilTrnGetComment("Crval")) == VM_FALSE) {
return 1;
}
k = 0;
for(i = 1; i <= 2; i++) {
for(j = 1; j <= 2; j++) {
if (writeDoubleDescriptor(&image->descs,
pilTrnGetKeyword("CD", i, j), wcs->cd[k],
pilTrnGetComment("CD")) == VM_FALSE) {
return 1;
}
k++;
}
}
return 1;
}
/**
* @brief
* Resample a set of images to a common coordinate grid.
*
* @return The function returns TBD.
*
* @param set Set of images.
* @param method Interpolation method.
*
* TBD
*
* @author P. Montegriffo, R. Palsa
*/
VimosImageArray *VmImResampleImages(VimosImageArray *set,
ResamplingMethod method)
{
const char *fctid = "VmImResampleImages";
int i;
int nx, ny;
size_t k;
size_t npixel;
/* double ra1, ra2, dec1, dec2; */
double xpix1, ypix1, xpix2, ypix2;
VimosImage *srcImage, *dstImage;
struct WorldCoor *wcs_r, *wcs;
/*
* Get the full field of view, i.e. the ranges of right ascension
* and declination, covered by the union of the fields of view of
* all images in the input set.
*/
cpl_msg_info(fctid, "Computing sky area covered by image set ...");
/*
* The original code was incorrectly defining the new image corners
* from the ranges in RA and Dec... Instead, the new image corners
* are simply the min-max range of all image corners, computed in
* the WCS of the reference frame!
*
* if (!(wcs_r = getFieldOfView(set, &ra1, &dec1, &ra2, &dec2))) {
* cpl_msg_error(fctid, "Sky area computation failed!");
* return 0L;
* }
*
* cpl_msg_info(fctid, "R.A. covered range: %10.6f --> %10.6f", ra1, ra2);
* cpl_msg_info(fctid, "Dec. covered range: %10.6f --> %10.6f", dec1, dec2);
*/
if (!(wcs_r = getFieldOfViewNew(set, &xpix1, &ypix1, &xpix2, &ypix2))) {
cpl_msg_error(fctid, "Sky area computation failed!");
return 0L;
}
/*
* Setup new WCS for the full field of view
*/
/*
* See note above about incorrectly computed FOV.
*
* if (!(wcs = setupWcs(wcs_r, ra1, dec1, ra2, dec2))) {
* cpl_msg_error(fctid, "Field of view coordinate system creation failed!");
*
* vimoswcsfree(wcs_r);
* return 0L;
* }
*/
if (!(wcs = setupWcsNew(wcs_r, xpix1, ypix1, xpix2, ypix2))) {
cpl_msg_error(fctid, "Field of view coordinate system creation failed!");
vimoswcsfree(wcs_r);
return 0L;
}
else {
cpl_msg_info(fctid, "New image dimensions: NAXIS1=%d, NAXIS2=%d",
(int)wcs->nxpix, (int)wcs->nypix);
cpl_msg_debug(fctid, "New reference pixel: CRPIX1=%10.3f, CRPIX2=%10.3f",
wcs->crpix[0], wcs->crpix[1]);
}
/*
* No need to free memory, it's the input wcs_r the it's output to
* from setupWcsNew(), i.e., wcs_r = wcs (same pointer).
*
*
* vimoswcsfree(wcs_r);
*
*****/
/*
* Remap imput images to the new coordinate grid
*/
nx = (int)wcs->nxpix;
ny = (int)wcs->nypix;
npixel = nx * ny;
for (i = 0; i < imageArraySize(set); i++) {
cpl_msg_info(fctid, "Resampling image %d.", i);
/*
* Get source image from the input set and retrieve its world
* coordinate system information.
*/
srcImage = (VimosImage *)imageArrayGet(set, i);
if (!(wcs_r = rdimage(srcImage->descs))) {
cpl_msg_error(fctid, "Retrieving coordinate system information from "
"image %d failed!", i);
vimoswcsfree(wcs);
return 0L;
}
if (!(dstImage = newImageAndAlloc(nx, ny))) {
cpl_msg_error(fctid, "Not enough memory!");
vimoswcsfree(wcs_r);
vimoswcsfree(wcs);
return 0L;
}
/*
* Copy the image header to the resampled image and update
* the WCS related keywords.
*/
if (copyAllDescriptors(srcImage->descs, &dstImage->descs) == VM_FALSE) {
cpl_msg_error(fctid, "Copying header keywords failed!");
deleteImage(dstImage);
vimoswcsfree(wcs_r);
vimoswcsfree(wcs);
return 0L;
}
if (!updateWcsKeywords(dstImage, wcs)) {
cpl_msg_error(fctid, "Updating world coordinate system information "
"failed!");
deleteImage(dstImage);
vimoswcsfree(wcs_r);
vimoswcsfree(wcs);
return 0L;
}
/*
* Loop over pixels. For each pixel position of the resampled image get
* its position on the sky and use this position to compute its pixel
* value, by interpolation, from the input image pixels.
*/
/* FIXME:
* For performance reasons this loop over all pixels of the result
* image should be done inside the resampling function. Calling
* interpolate() for each pixel is not very efficient. (RP)
*/
for (k = 0; k < npixel; k++) {
int offscl;
double xpix, ypix, x, y;
double ra, dec;
/*
* Compute world coordinates for pixel center
*/
xpix = (double)(k % nx) + 1.0;
ypix = (double)(k / nx) + 1.0;
pix2vimoswcs(wcs, xpix, ypix, &ra, &dec);
/*
* Compute pixel coordinates of the source image corresponding to
* the just computed ra and dec.
*/
vimoswcs2pix(wcs_r, ra, dec, &x, &y, &offscl);
x = x - 1.0 ;
y = y - 1.0 ;
/*
if (k % 64 == 0) {
printf("XXXX %d %d %f %f\n", (int)xpix - 1, (int)ypix - 1, x, y);
}
*/
/*
* Compute interpolated value
*/
/* FIXME:
* Instead of DOUBLENULLVALUE (which comes from cfitsio) a simple
* 0. does the same job. To be checked! (RP)
*/
if (!offscl)
dstImage->data[k] = interpolate(srcImage->data, wcs_r->nxpix,
wcs_r->nypix, method, x, y);
else
dstImage->data[k] = DOUBLENULLVALUE;
}
/*
* Replace the source image in the input set with the resampled
* result. The source is deallocated.
*/
deleteImage((VimosImage *)imageArrayRemove(set, i));
imageArraySet(set, i, dstImage);
vimoswcsfree(wcs_r);
}
/*
* Cleanup
*/
vimoswcsfree(wcs);
return set;
}
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