FLUXER


FLUXER V2.78
Data viewing and processing package not only for astronomical data cubes in IDL
Written by Christof Iserlohe


christof [at] ciserlohe [dot] de
Capabilities Requirements Screenshots Download Installation guide FAQs
and
Trouble shooting







Capabilities
A data cube is a three-dimensional matrix with two spatial axes (right ascencion and declination) and a wavelength axis. Data in such cubes is usually regularly gridded and only such kind of data is fully supported. This tool was created to deal with data delivered by imaging field spectrographs like OSIRIS@Keck, SINFONI@VLT, GMOS@GEMINI or FIFI-LS@SOFIA.

  • Works with fits files and data cubes
  • Automatic and manual identification of crazy pixels in data cubes
  • Interpolation of crazy pixels in 1, 2, or pseudo-3 dimensions
  • Operations on data cubes, like e.g. smoothing each slice of a data cube with a gaussian PSF of median filtering each slice
  • Interactive and automatic fitting to emission/absorption lines with various profiles, thus extracting of e.g. flux maps, velocity fields, ... Additional extraction methods are also availale. Taking measurement errors into account.
  • Extraction of spectra from data cubes
  • Slit extraction and creation of pv diagrams
  • Data cube viewing in 2D and 3D
  • Creation of animated gifs for 2D (channel maps) and 3D data
  • Contouring
  • Viewing and manipulating fits header
  • Preparing astrometric information
  • Ability to save individual spectra, plots (in TIFF, GIF and PS format), manipulated or continuum subtracted cubes, ...
  • Ability to handle outside pixel. These are data cube elements that are not recieving light (useful in case of mosaiced data cubes).
  • Large catalogues of emission and absorption lines (Atomic, Fine Structure, Molecules) from the optical to the far-infrared.
  • Voronoi Binning method of Cappellari & Copin (2003, MNRAS, 342, 345)
  • ATRAN atmospheric transmission curves of Lord, S. D., 1992, NASA Technical Memorandum 103957. Download, Gaussian convolution to a specified spectral resolution and plot.
  • Download and view DSS images and SDSS spectra
  • Regridding images to a common spatial grid for e.g. subsequent division to create flux ratio maps
  • RGB image creator
  • Assigning astrometry to JPG images
  • and so on and so on

FLUXER is actually a collection of IDL programs:

FLUXER incl. helper routines like FLUXER_PLOT1D Viewing and analyzing data cubes
FLUXER_ATRAN Downloads ATRAN spectra from the ATRAN server
FLUXER_SDSS Downloading images from DSS server
FLUXER_RGB Creating a RGB image from three channel images
FLUXER_ASTROMETOR Assigning astrometry to a JPG image saving it as a fits RGB file

Requirements
FLUXER has been developed using IDL 8.3. It may work with IDL versions down to 7.0.
FLUXER runs under LINUX, WINDOWS and MAC.
A three-button-mouse is requested.
A minimum screen size of 1674 x 934 pixel is needed.

Screenshots

Click on any image to get a larger version.

FLUXER

Line fitting mode


This mode allows to interactively fit emission and absorption lines with various methods including peak constraints:
Center of Intensity (COI)
Dynamic Center of Intensity (DCI)
Single lorentzian fits
Single or double gaussian fits




Here, a single gaussian fit to the Brackett γ emission line (2.166 micron) of NGC 7582 (data cube obtained with SINFONI @ VLT) is shown. The left panel window shows the derived flux values derived from Gaussian fits to all spectra with contours and the right panel window shows the derived errors in flux.





Like above but with the derived velocity field in the right panel window with red countours and with additional astrometric informations.




Like above but with viewing mask applied to provide better analysis and plots. The viewing mask editor for 4 plotting constraints is also shown. It is possible to choose up to 8 plotting constraints.





A postscript file created from the calculated velocity field. In gray the masked data regions.





When fitting, the ParInfo Editor helps to constrain the fit parameters. In above picture you see a double gaussian fit to the H α emission lines (in absorption and emission) in NGC5406 (data taken with PMAS) and the PArInfo Editor to the right.




Spatial healing mode


This mode allows to interactively interpolate pixel values in each slice of the data cube.



The image shows the original slice in both panel windows.



The image shows the slice with pixels marked for interpolation in black (left panel window), and the interpolation result (right panel window). The action only took three mouse clicks.


Wavelength healing mode


This mode allows to interactively interpolate pixel values in each spectrum of the data cube.



The image shows the original spectrum (histogram) and the result of the interpolation (solid line).


Measurement errors


From version 2.59 on, FLUXER allows on start-up to read measurement errors (and other data too).



The image shows a spectrum of NGC5406 (data taken with PMAS) together with measurmenet errors. The right panel window additionally shows the error slice corresponding to the data slice shown in the left panel window. FLUXER is able to use measurement errors for all calculations. The only exception is that measurement errors values can not be changed (interpolated) unlike data values.


FLUXER Slit extraction and position velocity (PV) Viewer




The slit extraction mode.



The slit extraction mode and the FLUXER PV Viewer. The PV Viewer shows the continuum subtracted position velocity diagram centered on Hα. Both accompanying nitrogen lines are visible including their velocity dependence.


FLUXER Plot spectra from multiple locations in the FoV




The image shows individual spectra from selected apertures (as indicated), with velocity offsets relative to H α in km/s.


FLUXER Plot 1D


Enhanced plotting of vectors. FLUXER Plot 1D also allows setting the plot title, the axis title, fitting of data, smoothing of data, plotting data to postscript files and so on.



The image shows a radial profile plotted with fluxer_plot1d.


In the following some stand-alone programs which can be started from the IDL commandline immediatly



FLUXER ATRAN


From version 2.44 on, FLUXER allows direct access to ATRAN atmospheric transmission curves. These curves are calculated and downloaded from atran.sofia.usra.edu. Parameters to be set are equivalent to those in the atran.sofia.usra.edu web form. Once a transmission curve has been downloaded, it can be plotted or saved.
ATRAN Reference: Lord, S. D., 1992, NASA Technical Memorandum 103957.

FLUXER ATRAN can be started from the IDL commandline with : result = fluxer_atran()



The image shows the GUI which is used to connect to atran.sofia.usra.edu

---

FLUXER DSS/SDSS


FLUXER DSS/SDSS allows to download DSS images and SDSS spectra for the same region that is covered by the DSS image. FLUXER DSS/SDSS can be started from commandline with : IDL>fluxer_sdss

The user specifies either the name which is resolved by SIMBAD/VIZIER/NED or the center coordinates in RA and DEC.



FLUXER DSS/SDSS image and spectrum viewer


---

FLUXER_Aligner


From version 2.60 on, FLUXER_ALIGNER allows to regrid a number of fits images and RGB fits files with astrometry to a common grid. FLUXER_ALIGNER can deal with measurement errors as well as invalid pixel indicators. Astrometry of the input images is not restricted to a specific equinox or position angle. Regridding is done by linear interpolation. The tool can also be used for mosaiking images, to create images with same angular grid or to convolve images with a Gaussian to another angular resolution, etc., for e.g. subsequent division to compute flux ratio maps.
FLUXER_ALIGNER can be started from commandline only with : IDL>fluxer_aligner



FLUXER_ALIGNER with an image mosaic of M51.


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FLUXER RGB


FLUXER_RGB is an easy to use tool to create RGB images from three monochrome images. It will be available from version 2.64 on. It can be started from the commandline with : IDL>fluxer_rgb



FLUXER_RGB with an RGB image mosaic of M51 (NIR SDSS:red, Red SDSS:green, Blue SDSS:blue).



PS file created by FLUXER_RGB.


---

FLUXER Astrometor


FLUXER_ASTROMETOR is an easy to use tool to assign a fits coordinate systems to any JPG image by correlating the positions of point-like objects in the JPG with positions in a reference fits image that has been downloaded previously e.g. from DSS with FLUXER_SDSS. The JPG image is saved as RGB fitsfile with tangential J2000 astrometry and can be processed further by e.g. fluxer_aligner. FLUXER_ASTROMETOR will be available from version 2.65 on. It can be started from the commandline only with : IDL>fluxer_astrometor



FLUXER_ASTROMETOR with a fits image of NGC 6946 image from DSS and a photo in the optical wavelength regime from LBT (Vincenzo Testa, Cristian DeSantis).


Collection of animated gifs prepared with FLUXER




Rotating spheres illustrating the various 3D rotation methods available.




Imaging spectroscopy datacube (from OSIRIS at Keck observatory) of the Narrow Line Region of NGC4151. Isosurfaces in the light of [FeII]16440 emission (C.Iserlohe et al., 2013)





Fabry-Perot datacube of supernova remnant 1E 0102.2-7219. Channel maps and isosurfaces in the light of [OIII]5007 emission (with permission by J. Morse et al., Rensselaer Polytechnic Institute).



Visualization of volume data





MR study of head with skull partially removed to reveal brain, Chapel Hill Volume Rendering Test Data Set, Volume II, Data taken on the Siemens Magnetom and provided courtesy of Siemens Medical Systems, Inc., Iselin, NJ. Data edited (skull removed) by Dr. Julian Rosenman, North Carolina Memorial Hospital, University of North Carolina. Channel maps and volume rendering with superimposed and shifted projections along the axes.

Download

Requirements :

IDL version 8.0 and above. FLUXER may work with version 7.0 but this is untested. If you run FLUXER with version 7.x and experience any problems please do not hesitate to send a bug report.

Download :

Please send me a note to christof [at] ciserlohe [dot] de if you want to use FLUXER.

Bug reports :

If you encounter any bug in FLUXER that is reproducable, please help me to improve FLUXER by sending a bug report to :
christof [at] ciserlohe [dot] de

Before you send a bug report please ensure that you followed step 3 in the Installation guide section to get additional debugging output.

A bug report must always (!) contain :
- All output on the IDL command line and (!) the Workbench (from the very start of FLUXER) until the error occurs.
- The name and version number of the operating system you are using.
- A short description of what you did and what you want to do.

Important notes on physical properties :

Any derived 'Flux' is a sum of bins. E.g. in gaussian fitting mode the 'Flux' derived by FLUXER is the area of the fitted gaussian divided by the spectral bin width (the CDELT of your wavelength axis). For a detailed explanation of derived quantities please see 'Help->Line fitting' from the main menu bar or see fluxer_help_fit.txt or fluxer_help.txt.

Important version changes :

To allow immediate signal-to-noise estimation some fit errors derived are scaled to the data. E.g. a flux error of 10% for a fit means that the actual flux error is 0.1 * derived flux for that fit. When saving fit results, the first extension of the saved file has these scaled errors. To allow other programs to directly access the fit error (without the above multiplication), from version 2.60 on, the flux, width and equivalent width errors saved are actual errors.


Installation guide

The IDL libraries you need:

These libraries are needed and must be installed (only once):


Astrolib by NASA

Download link

Entire library by Craig Markwardt (cmtotal)

Download link

Michele Cappellari's Voronoi tessellation algorithm

Download link

The COYOTE library by David W. Fanning.

Install the newest COYOTE library as well as the retired version!
Download link to the COYOTE library
Download link to the retired COYOTE version


Do not forget to add the libraries to your !PATH environment variable.
If you encounter problems with any of the libraries (e.g. due to version conflicts), please contact me.

Getting nice example data cubes:

Very nice astronomical data cubes can be download from the CALIFA (Calar Alto Legacy Integral Field spectroscopy Area) Survey. You can download a nice data cube from NGC5406 here (77 MB).

How to install:

Only few simple steps are neccessary to install FLUXER:

0. I recommend to copy FLUXER and the libraries to the IDL Workspace directory.

1. Define an environment variable, FLUXER_HOME. FLUXER_HOME must contain the path where you have installed FLUXER.
E.g. using a bash shell under Linux, add something like this to your .bashrc:
export FLUXER_HOME="/home/christof/IDLWorkspace83/Default/fluxer/"

2. If you haven't done already, define an IDL startup file. This file is executed each time IDL is started and should update your !PATH environment variable on startup with the correct paths to all your IDL programs and libraries.
Add an environment variable named IDL_STARTUP which gets the path and name of the idl startup file, e.g., ~/.idl_startup (~ means your home directory).
E.g., using a bash shell under Linux add the following line to your .bashrc file:
export IDL_STARTUP=~/.idl_startup

Create the idl startup file and add the following line to it, in which you have replaced XXX with the path and name of the directory where all your IDL programs and libraries live, e.g., your IDL Workspace directory:
!PATH = Expand_Path('+XXX') + ':' + !PATH

3.(optional) To get more debugging information in parallel mode define an environment variable named IDL_BRIDGE_DEBUG with a value of 1.
E.g., using a bash shell under Linux add the following line to your .bashrc file:
export IDL_BRIDGE_DEBUG=1

Remember that new environment variables under Linux take effect after you have started a new terminal.

Now, start IDL and FLUXER from, e.g., the command line in one of the ways listed below :
  • IDL>fluxer, 'my_datacube.fits'
  • IDL>fluxer, my_datacube
  • IDL>fluxer
When reading fits files, FLUXER determines the number of extensions of this file and asks which to load. When reading an extension, FLUXER tries to read the header of the primary as well as of the extension. Both headers are then merged. If a data cube is read, the last (third) axis is always considered as the slicing direction. This means that the first two axes describe an image, the third the stacking of the images. When dealing with astronomical data cubes read from a fits file these must follow fits conventions. E.g. the order of the axes must be right ascension, declination, wavelength. When providing a data cube directly to FLUXER, the program asks the user which axis indicates the slicing direction unless the header keyword is used to provide a header to FLUXER (see the help pages in the installation package).

How to configure:

Once the main GUI has started, you should define a standard preference file. This is done by clicking 'Pref->Set' in the menu bar. The following configurations should be set:
  • 'Data Units': If wavelengths are defined in the header of your data file (CRPIX3, CDELT3 and CRVAL3 fits keywords are defined), select the appropriate 'Data units' representing the wavelengths. This can be micron, nanometers or Angstroem.
  • 'Line identification tables': Select some of the predefined line identification tables. You do not need to define your own.
  • Saving the configuration file: Save the preference file by clicking 'Done and Save' into a file named 'fluxer.fpref'. This is the preference file loaded on startup. You can define additional preference files which can be loaded during runtime.
Hints: Additionally you may want to set a larger panel window size to fill your whole screen. You can limit the number of CPUs used during parallel processing to save main memory. And finally, if you are bothered by the auto check for updates on each FLUXER startup, you can switch it off in the preference GUI as well.


How to update:

For reasons of security, there is no automatic update procedure. FLUXER is never deleting any files from your computer. You can perfom the update by downloading the zip file with the newest version. Then, move your old FLUXER version out of sight of IDL. E.g. delete it or if you want to keep the older version, move the whole FLUXER directory into a directory that is not included in the !PATH environment variable, otherwise you may run into version conflicts. Now, extract the zip file into any directory that is listed in your !PATH environment variable. Please note, that you have to create new preference files after each update since new preference options may have been introduced in newer FLUXER versions (see 'How to install' above) ! If you have created your own link list in fluxer_urls.dat to be displayed in the "Tools->Browse" menu, secure that file as well.

Version history since 2.24:

2.25 : Slit extraction and pv diagrams introduced
2.26 : Introduced plotting spectra from multiple locations in the FoV to a postscript file
2.27 : Choosing arbitrary contour levels introduced.
2.28 : Improved Gaussian and Moffat image fit
2.29 : Introduced arbitrary peak orientation when fitting gaussians, lorentzians or in dci mode
2.30 : Introduced fitting always additionally the continuum linearly and Width for peak fitting in km/s if wavelenths are present
2.31 : Introduced writing gifs with tranparent background where outside
2.32 : Introduced sigma clipping for determining the min/max values in colorbars
2.33 : Introduced subtraction of the continuum in all spectra
2.34 : Introduced extended one-dimensional plotting, fluxer_plot1d.pro
2.35 : Enhanced radial profile plotting
2.36 : Changed wavelength calculation to FITS convention (the reference pixel start to count at 1).
2.37 : Introduced Voronoi Binning method of Cappellari & Copin (2003, MNRAS, 342, 345)
2.38 : Replace individual fits in a set of fits and introduced sorting the results from double gaussian fits before saving.
2.39 : Introduced checking for updates, fixed a plotting bug in fluxer_plot1d and introduced plotting smoothed contours.
2.40 : Introduced equivalent widths and error in continuum
2.41 : Introduced saving and reading fit regions to or from a file
2.42 : Individual fit regions can be deleted now
2.43 : Introduced large catalogues of emission and absorption lines (Atomic, Fine Structure, Molecules) from the optical to the far-infrared
2.44 : Download ATRAN atmospheric transmission spectra from atran.sofia.usra.edu and resample to specified wavelength range and convolve with a Gaussian to desired spectral resolution (ATRAN: Lord, S. D., 1992, NASA Technical Memorandum 103957)
2.45 : Ability to load a data cube while FLUXER is running. Minor bug fixes
2.46 : Introduced FLUXER DSS/SDSS to download and view DSS images and SDSS spectra. Ability to save residuals of line fits
2.47 : Improved fits file reading (for GEMINI data). Bug fix for residuals in COI and DCI line fitting mode
2.48 : ATRAN website calls have changed. fluxer_atran updated
2.49 : Minor technical changes. Improved astrometry
2.50 : Minor bug fixes. Introduced ATRAN emission spectra
2.51 : - Introduced H2O and O3 line identification tables for a wavelength range of 1 to 200 micron from HITRAN. To keep the list handy, only the 10 brightest transitions per one micron bin are listed.
- Due to a missing subroutine some of the spatial healing methods, from version 2.49 on, did not work propperly. Repository updated.
- Removed external libraries from the repository.
2.52 : - Parinfo editor for constraining fit parameters
- Fitting Gaussian and Lorentzian together with polynomial baseline (mpfitpeak with nterms > 3)
- Get redshift and further information about your object from NED or SIMBAD
- Improved postscript plotting
- URL Queries updated
- χ2 calculation
- Minor bug fixes
2.53 : - Allows to set the panel window size in the preference file
2.54 : - Very much improved postscript plotting
- Minor bug fixes
2.55 : - Auto check for updates on startup
2.56 : - Open links in web browsers, get infos about your object from NED or SIMBAD with one mouse click
- view current active line identifications
2.57 : - Divide a cube by an ATRAN spectrum
- Mirror the cube and update the header.
2.58 : Minor bug fixes
2.59 : - Introduced plotting masks. These allow to plot images with constraints. E.g. plot only flux values if the calculated error on the flux value is less than 20%.
- Taking measurement errors into account, if available. Error bars will be overplotted to the spectra.
- Improved contouring
- Improved Postscript creation
- Improved usage of FLUXER
- Minor bug fixes, the only critical one fixes a wrong scaling of the colorbar image in histogram mode.
2.60 : - Introduced fluxer_aligner for resampling and aligning images with astrometry.
- Extended fits header checking
- Minor bug fixes
2.61 : - Faster start-up
2.62 : - FLUXER goes parallel. Fitting your spectra can now be done in parallel processing mode. Depending on the number of cores of your CPU this may speed up your calculations by factors. Parallel processing is fully automated and no user interaction is required. Version 2.62 is beta.
2.63 : - FLUXER allows to set the number of CPUs in parallel mode.
2.64 : - FLUXER_RGB allows to create an RGB image interactively from three monochrome images.
- Fixed setting manual y ranges for plotting spectra in FLUXER
2.65 : - Introduced status images in FLUXER, FLUXER_RGB and FLUXER_ALIGNER.
- Introduced FLUXER_ASTROMETOR
- Fixed equinox problems in FLUXER_ALIGNER.
2.66 : - Bug fixes
2.67 : - Complete rewwrite of fluxer_aligner core algorithm. Please see the documentation about the changes.
2.68 : - Minor bug fixes
2.69 : - Failed writing double gaussian fit results fixed
2.70 : - Improved FLUXER_ALIGNER
2.71 : - Improved contour plotting
2.72 : - Fixed file unit error that occurs after many openings of files from FLUXER.
2.73 : - Allows to select an alternative default font. Useful to, e.g., increase the font size in the GUI (to get bigger buttons).
2.74 : - Redshift dialog, Image Color Pattern and Scaling dialog and Undo of Continuum subtraction introduced.
2.75 : - ATRAN server moved to atran.arc.nasa.gov. Updated fluxer_atran.pro
- The Line/Axis thickness, charsize, charthickness and size of the plot window are saved in the preferences (by default)
2.76 : - New Contour Dialog
- New Color Selection Dialog
- Possibility to resize the main GUI
- Smaller menu changes
2.77 : - Changes to fluxer_plot1d
2.78 : - Selecting the background color for outside and queued pixel


Notes on available predefined line identification tables:

1.5 - 2.4 micron  Ne, Ar, Xe, Kr arclamp lines
1.5 - 2.5 micron  CO bandhead
1.0 - 2.5 micron  Coronal lines in the NIR
1.3 - 1.8 micron  [FeII] lines - Ritz wavelengths from NIST
0.1 - 349 micron  [FeIII] lines from Nahar and Pradhan, 1996, AAS, 119,509
1.0 - 28 micron  Ro-vib transitions of H2, Black and van Dishoeck, 1987, ApJ, 322, 412B
0.3 - 12 micron  Atomic Hydrogen (Ba, Br, Pa, Pf, Hu)
1.0 - 2.5 micron  HeI and HeII lines
2.0 - 205 micron  Atomic and Ionic Fine-Structure Lines, compiled by Dieter Lutz
2.4 - 187 micron  H2, HD, H2O, OH and CO Lines, compiled by Ewine van Dishoeck
1.1 - 2.3 micron  OH lines from Chamberlain, Hubbard and Brault
0.3 - 1.0 micron  OH sky lines
0.1 - 0.9 micron  SDSS emission and absorption lines
0.1 - 1.1 micron  UV to NIR emission lines in SNR, Fesen and Hurford, 1996, ApJS, 106, 563F
0.8 - 2.4 micron  Stellar absorption bands in the NIR
1.0 - 200 micron  10 brightest H2O lines per one micron bin, from HITRAN
1.0 - 200 micron  10 brightest O3 lines per one micron bin, from HITRAN

See also http://www.mpe-garching.mpg.de/iso/linelists/ or Atomic Line List v2.04.

See FLUXER help pages for how to create your own line identification table.


FAQs
and
Trouble shooting
- Workbench in IDL 8.x: Some IDL versions (8.0 or higher) may (or may not) have problems with hardware and software rendering under some operating systems when using the workbench. If you experience similar problems with the workbench, run FLUXER in a shell/terminal using the IDL command line only.
You can also try (on your own risk) to delete the configuration files of the workbench. E.g., rename your .idl directory to e.g. .old_idl and start the workbench again.

- Parallel processing : Fitting your spectra in parallel processing mode speeds up the calculations significantly depending on the number of cores your CPU has. However, it can not be used if your computer is not equipped with enough main memory (depending on the size of your datacube) feeding the child processes. Additionally, child processes may not be stopped by pressing Ctrl-C and you may have to manually kill all IDL processes.

A common cause for trouble with parallel processing could be that in your IDL setup the !PATH environment variable is not transferred to the child processes which is done in FLUXER using an IDL startup file. Please follow steps 2 and 3 in the Installation guide section above.

- mpfitfun or mpfitpeak errors : FLUXER uses the famous mpfit package written by Craig Markwardt. Since many IDL programs are using the mpfit package you may already have it installed. However, ensure that you only have one (!) version (the newest) of the mpfit package installed. Otherwise you may run into version conflicts.

- I get tons of error messages when starting FLUXER : Ensure that your !PATH environment variable is set correctly. E.g., if the lib directory of your IDL distribution where the routines for, e.g., compound widgets (like cw_form.pro and so on) are stored is not listed in !PATH you will get tons of error messages. Also ensure that all libraries needed by FLUXER are listed in !PATH.


- I accidently selected an alternative default font which is unreadable. Now the GUI is unreadable. : Edit your preference file, e.g., fluxer.fpref, and delete the line that looks like this one :

widget_control, default_font='fff'

Restart your IDL session.


Disclaimer This software package (FLUXER) comes with no guarantee whatsoever.

Credits

If you are using FLUXER for your publications please add a short note about having used Fluxer to your acknowledgements.



FLUXER uses some software written by others. Some routines have been modified, renamed and have been integrated into FLUXER. Except the libraries mentioned above no additional libraries need to be downloaded.
  • Aaron Barth (ATV, Barth, A. J. 2001, in ASP Conf. Ser., Vol. 238, Astronomical Data Analysis Software and Systems X, eds. F. R. Harnden, Jr., F. A. Primini, & H. E. Payne (San Francisco: ASP), 385, http://www.physics.uci.edu/~barth/atv/),
  • Craig Markwardt (e.g. fitting libraries, http://www.physics.wisc.edu/~craigm)
  • Siree Vatanavigkit (image interpolation)
  • Fred Knight (multiplot)
  • Michele Cappellari (Voronoi tessellation, Cappellari & Copin (2003, MNRAS, 342, 345), http://www-astro.physics.ox.ac.uk/~mxc/software/)
  • and of course the GSFC IDL Astronomy User's Library (idlastro.gsfc.nasa.gov)
  • Coyote library written by David W. Fanning (http://www.idlcoyote.com/).

Last Update 1/28/2019