M

Montage Montage is an astronomical image toolkit with components for reprojection, background matching, coaddition and visualization of FITS files. It can be used as a set of command-line tools (Linux, OS X and Windows), C library calls (Linux and OS X) and as Python binary extension modules.

The Montage source is written in ANSI-C and code can be downloaded from GitHub ( https://github.com/Caltech-IPAC/Montage ). The Python package can be installed from PyPI ("</i>pip install MontagePy"). The package has no external dependencies. See http://montage.ipac.caltech.edu/ for details on the design and applications of Montage.

MontagePy.main modules: mProjectCube

Most of Montage is focused on 2D astronomical image mosaics: reprojection, background matching, coaddition and so on. But there is also a need for tools that operate on data "cubes": three- or four-dimensional arrays where two of the axes represent the same projected sky coordinates as we find in the 2D images. Usually, the third axis is some form of wavelength.

The problem sets are not completely parallel: datacubes do not generally need background matching but you do frequently want cutouts in the none spatial dimensions and to transpose axes.

Montage includes a set of routines for manipulating datacubes:

  • mmProjectCube — Reproject the spatial dimensions.
  • mAddCube — Reproject the cube.
  • mShrinkCube — Rescale a cube (integer scaling in the non-spatial dimensions).
  • mSubCube —Cut a portion out of a cube.
  • mTranspose — Transpose a cube's axes.

This routine, mProjectCube, reprojects a cube assuming the first two axes are sky spatial and that the FITS cube has proper projection information. It uses the same algorithm as mProject. If the axes in some other order you can rearrange them with mTranspose.

Note: The MontagePy python package has no external dependencies. We include other utilities on this page to aid in visualizing MontagePy package results.

In [1]:
from MontagePy.main import mProjectCube, mViewer

help(mProjectCube)
Help on built-in function mProjectCube in module MontagePy.main:

mProjectCube(...)
    mProjectCube reprojects a single datacube to the scale defined in a FITS header template file. The program produces a pair of images: the reprojected cube and an 'area' image consisting of the fraction input pixel sky area that went into each output pixel. The algorithm proceeds by mapping pixel corners (as adjusted by drizzle, if set) from the input pixel space to the output pixel space, calculating overlap area with each output pixel, and accumulating an appropriate fraction of the input flux into the output image pixels. In addition, the appropriate fraction of the input pixel area is accumulated into the area image pixels. Projection of points from input pixel space to output pixel space is calculated in two steps: first map from input pixel space to sky coordinates; second map from sky coordinates to output pixel space.
    
    Parameters
    ----------
    input_file : str
        FITS file to reproject.
    output_file : str
        Reprojected FITS cube.
    template_file : str
        FITS header file used to define the desired output.
    hdu : int, optional
        Optional HDU offset for input cube.
    weight_file : str, optional
        Optional pixel weight FITS file (must match input).
    fixedWeight : float, optional
        A weight value used for all pixels.
    threshold : float, optional
        Pixels with weights below this level treated as weight 0.
    drizzle : float, optional
        Optional pixel area 'drizzle' factor.
    fluxScale : float, optional
        Scale factor applied to all pixels.
    energyMode : bool, optional
        Pixel values are total energy rather than energy density.
    expand : bool, optional
        Expand output image area to include all of the input pixels.
    fullRegion : bool, optional
        Do not 'shrink-wrap' output area to non-blank pixels.
    debug : int, optional
        Debugging output level.
    
    
    Returns
    -------
    status : int
        Return status (0: OK, 1:ERROR).
    msg : str
        Return message (for errors).
    time : float
        Total processing time (sec).

mProjectCube Example

mProjectCube can handle any projection and coordinate system and is flux-conserving. The algorithm is based on pixel overlap in spherical sky coordinates rather than in the input or output planar pixel space.

mProject has a few extra controls for things like excluding a border, though unlike 2D images, data cubes rarely have this sort of problem. The basic inputs are a FITS data cube and a FITS header describing the output cube we want, which must match the input in the non-spatial dimensions. The output is a FITS cube with the data from the input resampled to the output header pixel space.

The input FITS header (actually an ASCII file that looks like a FITS header but with newlines and unpadded line lengths) can be produced in a number of ways. There are Montage tools to take an image list (or point source list) and determine a bounding box (mMakeHdr) or just a location and size (mHdr). You can also pull the header off another file (mGetHdr) if you want to build a matching mosaic from other data. Or you can just create the output header by had (e.g., a simple all-sky Aitoff projection). It is up to the user to make sure that the header has appropriate (and matching) information for the non-spatial dimensions.

The data used in the datacube Jupyter pages come from the Galactic Arecibo L-band Feed Array HI (GALFA-HI) survey (Peek et al., 2011, Ap J Suppl, 194, 20; DOI 10.1088/0067-0049/194/2/20; ADS Bibcode 2011ApJS..194...20P). We start with five datacubes covering a contiguous region of the Galactic plane. Using mImgtbl and mMakeHdr we have generated a header that bounds all five and we use that here.

This reprojection can take tens of seconds, so be patient.

In [3]:
rtn = mProjectCube('GALFA/shrunken/GALFA_HI_RA+DEC_004.00+34.35_N.fits', 
                   'work/GALFA/projected/GALFA_HI_RA+DEC_004.00+34.35_N.fits', 
                   'GALFA/galfa.hdr')
print(rtn)
{'status': '0', 'time': 18.0}

Before and After

Here are the original image and the reprojected one. Since these are cubes, we have to collapse it in the third dimension for display. Here we have chosen to coadd a few of the central wavelengths HDU 0 (there is only the one HDU but we have to be explicity for notation reasons).

In [4]:
from IPython.display import Image

rtn = mViewer('-ct 4 -gray "GALFA/shrunken/GALFA_HI_RA+DEC_004.00+34.35_N.fits[0][60:68]" \
               -2s max gaussian-log -out work/GALFA/GALFA_HI_RA+DEC_004.00+34.35_N.png',
              '', mode=2 )

Image(filename='work/GALFA/GALFA_HI_RA+DEC_004.00+34.35_N.png')
Out[4]:
In [5]:
rtn = mViewer('-ct 4 -gray "work/GALFA/projected/GALFA_HI_RA+DEC_004.00+34.35_N.fits[0][60:68]" \
               -2s max gaussian-log -out work/GALFA/GALFA_HI_RA+DEC_004.00+34.35_N_projected.png', 
              '', mode=2)

Image(filename='work/GALFA/GALFA_HI_RA+DEC_004.00+34.35_N_projected.png')
Out[5]:

mProjectCube Error Handling

If mProjectCube encounters an error, the return structure will just have two elements: a status of 1 ("error") and a message string that tries to diagnose the reason for the error.

For instance, if the user asks for a file that doesn't exist:

In [6]:
rtn = mProjectCube('GALFA/shrunken/unknown.fits', 
                   'work/GALFA/projected/GALFA_HI_RA+DEC_004.00+34.35_N.fits', 
                   'GALFA/galfa.hdr')
print(rtn)
{'status': '1', 'msg': b'File GALFA/shrunken/unknown.fits not found.'}

 

Classic Montage: mProjectCube as a Stand-Alone Program

mProjectCube Unix/Windows Command-line Arguments

mProjectCube can also be run as a command-line tool in Linux, OS X, and Windows:

Usage: mProjectCube [-z factor][-d level][-s statusfile][-h hdu][-x scale][-w weightfile][-t threshold][-X(expand)][-e(nergy-mode)][-f(ull-region)] in.fits out.fits hdr.template

 

If you are writing in C/C++, mProjectCube can be accessed as a library function:

/*-***********************************************************************/
/*                                                                       */
/*  mProjectCube                                                         */
/*                                                                       */
/*  Montage is a set of general reprojection / coordinate-transform /    */
/*  mosaicking programs.  Any number of input images can be merged into  */
/*  an output FITS file.  The attributes of the input are read from the  */
/*  input files; the attributes of the output are read a combination of  */
/*  the command line and a FITS header template file.                    */
/*                                                                       */
/*  This module, mProjectCube, processes a single input image and        */
/*  projects it onto the output space.  It's output is actually a pair   */
/*  of FITS files, one for the sky flux the other for the fractional     */
/*  pixel coverage. Once this has been done for all input images,        */
/*  mAdd can be used to coadd them into a composite output.              */
/*                                                                       */
/*  Each input pixel is projected onto the output pixel space and the    */
/*  exact area of overlap is computed.  Both the total 'flux' and the    */
/*  total sky area of input pixels added to each output pixel is         */
/*  tracked, and the flux is appropriately normalized before writing to  */
/*  the final output file.  This automatically corrects for any multiple */
/*  coverages that may occur.                                            */
/*                                                                       */
/*  In order to deal efficiently with cubes, mProjectCube differs from   */
/*  mProject in one major way.  Rather than try to minimize the amount   */
/*  of memory used, mProjectCube reads the whole cube in up front and    */
/*  then reprojects all of it.  While mProject could read a line at a    */
/*  time this would result in significant I/O thrashing and slowdown.    */
/*                                                                       */
/*   char  *input_file     FITS file to reproject                        */
/*   char  *output_file    Reprojected FITS file                         */
/*   char  *template_file  FITS header file used to define the desired   */
/*                         output                                        */
/*                                                                       */
/*   int    hdu            Optional HDU offset for input file            */
/*   char  *weight_file    Optional pixel weight FITS file (must match   */
/*                         input)                                        */
/*                                                                       */
/*   double fixedWeight    A weight value used for all pixels            */
/*   double threshold      Pixels with values below this level treated   */
/*                         as blank                                      */
/*                                                                       */
/*   double drizzle        Optional pixel area 'drizzle' factor          */
/*   double fluxScale      Scale factor applied to all pixels            */
/*   int    energyMode     Pixel values are total energy rather than     */
/*                         energy density                                */
/*   int    expand         Expand output image area to include all of    */
/*                         the input pixels                              */
/*   int    fullRegion     Do not 'shrink-wrap' output area to non-blank */
/*                         pixels                                        */
/*   int    debug          Debugging output level                        */
/*                                                                       */
/*************************************************************************/

struct mProjectCubeReturn *mProjectCube(char *input_file, char *output_file, char *template_file,
                                        int hduin, char *weight_file, double fixedWeight, double threshold,
                                        double drizzle, double fluxScale, int energyMode, int expand, int fullRegion,
                                        int debugin)

Return Structure

struct mProjectCubeReturn
{
   int    status;        // Return status (0: OK, 1:ERROR)
   char   msg [1024];    // Return message (for error return)
   char   json[4096];    // Return parameters as JSON string
   double time;          // Run time (sec)   
};