#!/usr/bin/env python3 # # Copyright (c) 2017 Weitian LI # MIT License # """ Taper the sky image (input of OSKAR simulation) to mitigate the side lobes effects, which causes trouble in creating good images. The circular Tukey window is adopted, which is also built in by e.g., WSClean. """ import os import sys import argparse import logging from datetime import datetime, timezone import numpy as np from scipy import interpolate import astropy.io.fits as fits logging.basicConfig(level=logging.INFO) logger = logging.getLogger(os.path.basename(sys.argv[0])) def make2d(w1d, x=None): """ Create 2D filter from the 1D one. Parameters ---------- w1d : 1D `~numpy.ndarray` The input 1D filter/window x : 1D `~numpy.ndarray`, optional The X-axis values of the input ``w1d`` filter Returns ------- w2d : 2D `~numpy.ndarray` Created 2D filter/window from the input 1D one. Credit ------ [1] MATLAB - creating 2D convolution filters https://cn.mathworks.com/matlabcentral/newsreader/view_thread/23588 """ if x is None: L = len(w1d) M = (L-1) / 2 x = np.linspace(-M, M, num=L) xmax = np.max(x) xsize = int(2 * xmax + 1) xx = np.linspace(-xmax, xmax, num=xsize) xg, yg = np.meshgrid(xx, xx) r = np.sqrt(xg**2 + yg**2) ridx = (r <= xmax) w2d = np.zeros(shape=(xsize, xsize)) finterp = interpolate.interp1d(x=x, y=w1d, kind="linear") w2d[ridx] = finterp(r[ridx]) return w2d def tukey(L, Minner=0.5, Mouter=0.5, Lmin=0): """ The 1D Tukey filter/window ^ | Lmin | Minner*L | constant ones | Mouter*L | +--------------------------------------------. (L) Parameters ---------- L : int The length (number of points) of the window/filter Minner : float The fraction of ``L`` for the inner (left), increasing part Mouter : float The fraction of ``L`` for the outer (left), decreasing part Lmin : int The beginning point for the inner (left) part References ---------- * MATLAB - Tukey (tapered cosine) window https://cn.mathworks.com/help/signal/ref/tukeywin.html * WSClean - Weight tapering https://sourceforge.net/p/wsclean/wiki/Tapering/ """ w = np.zeros(L) Linner = int(Minner * L) Louter = int(Mouter * L) Lones = L - Lmin - Linner - Louter if Lones < 0: raise RuntimeError("invalid parameters combination") w[(Lmin+Linner):(Lmin+Linner+Lones)] = 1.0 if Linner > 0: xinner = np.arange(0, Linner) x2 = (np.pi/Linner) * (xinner - Linner) w[Lmin:(Lmin+Linner)] = 0.5 + 0.5 * np.cos(x2) if Louter > 0: xouter = np.arange(0, Louter) x2 = (np.pi/Louter) * xouter w[(Lmin+Linner+Lones):] = 0.5 + 0.5 * np.cos(x2) return w def main(): parser = argparse.ArgumentParser( description="Taper sky image with Tukey window") parser.add_argument("-C", "--clobber", dest="clobber", action="store_true", help="overwrite existing file") parser.add_argument("-r", "--window-inner", dest="Rinner", type=int, required=True, help="inner radius [pixel] of the tukey window") parser.add_argument("-R", "--window-outer", dest="Router", type=int, required=True, help="outer radius [pixel] of the tukey window") parser.add_argument("-T", "--outfile-taper", dest="outfile_taper", help="save the applied taper into a FITS image") parser.add_argument("infile", help="input FITS sky image") parser.add_argument("outfile", help="output tapered sky image") args = parser.parse_args() if os.path.exists(args.outfile): if args.clobber: logger.warning("Removed existing file: %s" % args.outfile) os.remove(args.outfile) else: raise OSError("Output file already exists: %s" % args.outfile) if args.outfile_taper and os.path.exists(args.outfile_taper): if args.clobber: logger.warning("Removed existing file: %s" % args.outfile_taper) os.remove(args.outfile_taper) else: raise OSError("Output file already exists: %s" % args.outfile_taper) with fits.open(args.infile) as f: image = f[0].data.astype(np.float32) header = f[0].header.copy(strip=True) logger.info("Read sky image from file: %s" % args.infile) L = args.Router Louter = L - args.Rinner Mouter = Louter / L logger.info("Create Tukey window: Rin=%d, Rout=%d" % (args.Rinner, args.Router)) w1d = tukey(L, Minner=0, Mouter=Mouter) x1d = np.arange(len(w1d)) logger.info("Make 2D Tukey window") w2d = make2d(w1d, x1d) xw = w2d.shape[0] ximg = image.shape[0] if xw == ximg: taper = w2d elif xw > ximg: i1 = int((xw-ximg) / 2) i2 = int((xw+ximg) / 2) taper = w2d[i1:i2, i1:i2] else: taper = np.zeros(shape=image.shape) i1 = int((ximg-xw) / 2) i2 = int((ximg+xw) / 2) taper[i1:i2, i1:i2] = w2d logger.info("Taper the sky image ...") image *= taper header["DATE"] = (datetime.now(timezone.utc).astimezone().isoformat(), "File creation date") header.add_history(" ".join(sys.argv)) hdu = fits.PrimaryHDU(data=image, header=header) hdu.writeto(args.outfile) logger.info("Wrote tapered sky image to file: %s" % args.outfile) if args.outfile_taper: header["OBJECT"] = ("Tukey Window", "Taper window") header["Rinner"] = (args.Rinner, "[pixel] inner radius") header["Router"] = (args.Router, "[pixel] outer radius") hdu = fits.PrimaryHDU(data=taper.astype(np.float32), header=header) hdu.writeto(args.outfile_taper) logger.info("Wrote tapered to file: %s" % args.outfile_taper) if __name__ == "__main__": main()