import os from jax import vmap import jax.numpy as jnp import numpy as np import astropy.io.fits as fits from astropy.wcs import WCS import scarlet2 from scarlet2 import Starlet # Installing data package if not already installed from scarlet2.utils import import_scarlet_test_data import_scarlet_test_data() from scarlet_test_data import data_path import sep from astropy.table import Table # Load the HSC image data obs_hdu = fits.open(os.path.join(data_path, "test_resampling", "Cut_HSC1.fits")) data_hsc = obs_hdu[0].data.astype('float32') wcs_hsc = WCS(obs_hdu[0].header) channels_hsc = ['g', 'r', 'i', 'z', 'y'] # Load the HSC PSF data psf_hsc_data = fits.open(os.path.join(data_path, "test_resampling", "PSF_HSC.fits"))[0].data.astype('float32') psf_hsc = scarlet2.ArrayPSF(psf_hsc_data) # Load the HST image data hst_hdu = fits.open(os.path.join(data_path, "test_resampling", "Cut_HST1.fits")) data_hst = hst_hdu[0].data.astype('float32') wcs_hst = WCS(hst_hdu[0].header) channels_hst = ['F814W'] # Load the HST PSF data psf_hst_data = fits.open(os.path.join(data_path, "test_resampling", "PSF_HST.fits"))[0].data.astype('float32') psf_hst_data = psf_hst_data[None, :, :] psf_hst = scarlet2.ArrayPSF(psf_hst_data) # Scale the HST data data_hst = data_hst[None, ...].astype('float32') data_hst *= data_hsc.max() / data_hst.max() """ Next we have to create a source catalog for the images. We’ll use `sep` for that, but any other detection method will do. Since HST is higher resolution and less affected by blending, we use it for detection but we also run detection on the HSC image to calculate the background RMS """ def makeCatalog(data_lr, data_hr, lvl=3, wave=True): # Create a catalog of detected source by running SEP on the wavelet transform # of the sum of the high resolution images and the low resolution images interpolated # to the high resolution grid coords_in = jnp.stack(jnp.meshgrid(jnp.linspace(0, 1, data_lr.shape[-1] + 2)[1:-1], jnp.linspace(0, 1, data_lr.shape[-2] + 2)[1:-1]), -1) coords_out = jnp.stack(jnp.meshgrid(jnp.linspace(0, 1, data_hr.shape[-2] + 2)[1:-1], jnp.linspace(0, 1, data_hr.shape[-2] + 2)[1:-1]), -1) interp_im = vmap(scarlet2.interpolation.resample2d, in_axes=(0, None, None))(data_lr, coords_in, coords_out) # Normalisation interp_im = interp_im / jnp.sum(interp_im, axis=(1, 2))[:, None, None] hr_images = data_hr / jnp.sum(data_hr, axis=(1, 2))[:, None, None] # Summation to create a detection image detect_image = jnp.sum(interp_im, axis=0) + jnp.sum(hr_images, axis=0) # Rescaling to HR image flux detect_image *= jnp.sum(data_hr) # Wavelet transform wave_detect = Starlet.from_image(detect_image).coefficients if wave: # Creates detection from the first 3 wavelet levels detect = wave_detect[:lvl, :, :].sum(axis=0) else: detect = detect_image # Runs SEP detection bkg = sep.Background(np.array(detect)) catalog = sep.extract(np.array(detect), 3, err=bkg.globalrms) bg_rms = [] for img in [np.array(data_lr), np.array(data_hr)]: if np.size(img.shape) == 3: bg_rms.append(np.array([sep.Background(band).globalrms for band in img])) else: bg_rms.append(sep.Background(img).globalrms) return catalog, bg_rms, detect_image # Making catalog. # With the wavelet option on, only the first 3 wavelet levels are used for detection. Set to 1 for better detection wave = 1 lvl = 3 catalog_hst, (bg_hsc, bg_hst), detect = makeCatalog(data_hsc, data_hst, lvl, wave) # we can now set the empirical noise rms for both observations obs_hst_weights = np.ones(data_hst.shape) / (bg_hst ** 2)[:, None, None] obs_hsc_weights = np.ones(data_hsc.shape) / (bg_hsc ** 2)[:, None, None] obs_hst = scarlet2.Observation(data_hst, wcs=wcs_hst, psf=psf_hst, channels=channels_hst, weights=obs_hst_weights) pixel_hst = np.stack((catalog_hst['y'], catalog_hst['x']), axis=1) # Convert the HST pixel coordinates to sky coordinates coords = obs_hst.frame.get_sky_coord(pixel_hst) # Saving everything in a single fits file # Coordinates table (FK5 J2000.0) table = Table([coords.ra.deg, coords.dec.deg], names=('RA', 'DEC')) coord_hdu = fits.BinTableHDU(data=table) coord_hdu.header['RADECSYS'] = coords.frame.name.upper() # 'FK5' coord_hdu.header['EQUINOX'] = coords.equinox.jyear # 2000.0 # Build HDUs images primary_hdu = fits.PrimaryHDU(data=data_hsc, header=wcs_hsc.to_header()) # Observation 1 Image primary_hdu.header['EXTNAME'] = 'HSC_OBS' psf1_hdu = fits.ImageHDU(data=psf_hsc_data) psf1_hdu.header['EXTNAME'] = 'HSC_PSF' weight1_hdu = fits.ImageHDU(data=obs_hsc_weights) weight1_hdu.header['EXTNAME'] = 'HSC_WEIGHTS' image2_hdu = fits.ImageHDU(data=data_hst, header=wcs_hst.to_header()) image2_hdu.header['EXTNAME'] = 'HST_OBS' psf2_hdu = fits.ImageHDU(data=psf_hst_data) psf2_hdu.header['EXTNAME'] = 'HST_PSF' weight2_hdu = fits.ImageHDU(data=obs_hst_weights) weight2_hdu.header['EXTNAME'] = 'HST_WEIGHTS' coord_hdu.header['EXTNAME'] = 'CATALOG' # Bundle all HDUs hdulist = fits.HDUList([ primary_hdu, psf1_hdu, weight1_hdu, image2_hdu, psf2_hdu, weight2_hdu, coord_hdu ]) hdulist.writeto('multiresolution_tutorial_data.fits', overwrite=True)