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Gammapy Maps

Gammapy Maps Illustration

Gammapy Maps Illustration

Introduction

The gammapy.maps submodule contains classes for representing sky images with an arbitrary number of non-spatial dimensions such as energy, time, event class or any possible user-defined dimension (illustrated in the image above). The main Map data structure features a uniform API for WCS as well as HEALPix based images. The API also generalizes simple image based operations such as smoothing, interpolation and reprojection to the arbitrary extra dimensions and makes working with (2 + N)-dimensional hypercubes as easy as working with a simple 2D image. Further information is also provided on the gammpy.maps docs page.

In the following introduction we will learn all the basics of working with WCS based maps. HEALPix based maps will be covered in a future tutorial. We will cover the following topics in order:

  1. Creating WCS Maps
  2. Accessing and Modifying Data
  3. Reading and Writing
  4. Visualizing and Plotting
  5. Reprojecting, Interpolating and Miscellaneous

Make sure you have worked through he First Steps with Gammapy and Astropy Introduction notebooks, because a solid knowledge about working with SkyCoords and Quantity objects as well as Numpy is required for this tutorial.

Note: This notebook is rather lengthy, but getting to know the Map data structure in detail is essential for working with Gammapy and will allow you to fulfill complex analysis tasks with very few and simple code in future!

0. Setup

In [1]:
%matplotlib inline
import numpy as np
import matplotlib.pyplot as plt
import os
In [2]:
from astropy import units as u
from astropy.io import fits
from astropy.table import Table
from astropy.coordinates import SkyCoord
from gammapy.maps import Map, MapAxis, WcsGeom

1. Creating WCS Maps

1.1 Using Factory Methods

Maps are most easily created using the Map.create() factory method:

In [3]:
m_allsky = Map.create()

Calling Map.create() without any further arguments creates by default an allsky WCS map using a CAR projection, ICRS coordinates and a pixel size of 1 deg. This can be easily checked by printing the .geom attribute of the map:

In [4]:
print(m_allsky.geom)
WcsGeom

        axes       : lon, lat
        shape      : (3600, 1800)
        ndim       : 2
        coordsys   : CEL
        projection : CAR
        center     : 0.0 deg, 0.0 deg
        width      : 360.0 x 180.0 deg

The .geom attribute is a MapGeom object, that defines the basic geometry of the map, such as size of the pixels, width and height of the image, coordinate system etc., but we will learn more about this object later.

Besides the .geom attribute the map has also a .data attribute, which is just a plain numpy.ndarray and stores the data associated with this map:

In [5]:
m_allsky.data
Out[5]:
array([[0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.],
       ...,
       [0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.],
       [0., 0., 0., ..., 0., 0., 0.]], dtype=float32)

By default maps are filled with zeros.

Here is a second example that creates a WCS map centered on the Galactic center and now uses Galactic coordinates:

In [6]:
skydir = SkyCoord(0, 0, frame="galactic", unit="deg")
m_gc = Map.create(
    binsz=0.02, width=(10, 5), skydir=skydir, coordsys="GAL", proj="TAN"
)
print(m_gc.geom)
WcsGeom

        axes       : lon, lat
        shape      : (500, 250)
        ndim       : 2
        coordsys   : GAL
        projection : TAN
        center     : 0.0 deg, 0.0 deg
        width      : 10.0 x 5.0 deg

In addition we have defined a TAN projection, a pixel size of 0.02 deg and a width of the map of 10 deg x 5 deg. The width argument also takes scalar value instead of a tuple, which is interpreted as both the width and height of the map, so that a quadratic map is created.

1.2 Creating from a Map Geometry

As we have seen in the first examples, the Map object couples the data (stored as a numpy.ndarray) with a MapGeom object. The MapGeom object can be seen as a generalization of an astropy.wcs.WCS object, providing the information on how the data maps to physical coordinate systems. In some cases e.g. when creating many maps with the same WCS geometry it can be advantegeous to first create the map geometry independent of the map object itsself:

In [7]:
wcs_geom = WcsGeom.create(
    binsz=0.02, width=(10, 5), skydir=(0, 0), coordsys="GAL"
)

And then create the map objects from the wcs_geom geometry specification:

In [8]:
maps = {}

for name in ["counts", "background"]:
    maps[name] = Map.from_geom(wcs_geom)

The MapGeom object also has a few helpful methods. E.g. we can check whether a given position on the sky is contained in the map geometry:

In [9]:
# define the position of the Galactic center and anti-center
positions = SkyCoord([0, 180], [0, 0], frame="galactic", unit="deg")
wcs_geom.contains(positions)
Out[9]:
array([ True, False])

Or get the image center of the map:

In [10]:
wcs_geom.center_skydir
Out[10]:
<SkyCoord (Galactic): (l, b) in deg
    (0., 0.)>

Or we can also retrieve the solid angle per pixel of the map:

In [11]:
wcs_geom.solid_angle()
Out[11]:
$$[[1.21731 \times 10^{-7},~1.21731 \times 10^{-7},~1.21731 \times 10^{-7},~\dots,~1.21731 \times 10^{-7},~1.21731 \times 10^{-7},~1.21731 \times 10^{-7}],~ [1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7},~\dots,~1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7}],~ [1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7},~\dots,~1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7}],~ \dots,~ [1.217365 \times 10^{-7},~1.217365 \times 10^{-7},~1.217365 \times 10^{-7},~\dots,~1.217365 \times 10^{-7},~1.217365 \times 10^{-7},~1.217365 \times 10^{-7}],~ [1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7},~\dots,~1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7},~1.2173468 \times 10^{-7}],~ [1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7},~\dots,~1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7},~1.2173284 \times 10^{-7}]] \; \mathrm{sr}$$

1.3 Adding Non-Spatial Axes

In many analysis scenarios we would like to add extra dimension to the maps to study e.g. energy or time dependency of the data. Those non-spatial dimensions are handled with the MapAxis object. Let us first define an energy axis, with 4 bins:

In [12]:
energy_axis = MapAxis.from_bounds(
    1, 100, nbin=4, unit="TeV", name="energy", interp="log"
)
print(energy_axis)
MapAxis

        name       : energy
        unit       : 'TeV'
        nbins      : 4
        node type  : edges
        edges min  : 1.0e+00 TeV
        edges max  : 1.0e+02 TeV
        interp     : log

Where interp='log' specifies that a logarithmic spacing is used between the bins, equivalent to np.logspace(0, 2, 4). This MapAxis object we can now pass to Map.create() using the axes= argument:

In [13]:
m_cube = Map.create(
    binsz=0.02, width=(10, 5), coordsys="GAL", axes=[energy_axis]
)
print(m_cube.geom)
WcsGeom

        axes       : lon, lat, energy
        shape      : (500, 250, 4)
        ndim       : 3
        coordsys   : GAL
        projection : CAR
        center     : 0.0 deg, 0.0 deg
        width      : 10.0 x 5.0 deg

Now we see that besides lon and lat the map has an additional axes named energy with 4 bins. The total dimension of the map is now ndim=3.

We can also add further axes by passing a list of MapAxis objects. To demonstrate this we create a time axis with linearly spaced bins and pass both axes to Map.create():

In [14]:
time_axis = MapAxis.from_bounds(
    0, 24, nbin=24, unit="hour", name="time", interp="lin"
)

m_4d = Map.create(
    binsz=0.02, width=(10, 5), coordsys="GAL", axes=[energy_axis, time_axis]
)
print(m_4d.geom)
WcsGeom

        axes       : lon, lat, energy, time
        shape      : (500, 250, 4, 24)
        ndim       : 4
        coordsys   : GAL
        projection : CAR
        center     : 0.0 deg, 0.0 deg
        width      : 10.0 x 5.0 deg

The MapAxis object internally stores the coordinates or “position values” associated with every map axis bin or “node”. We distinguish between two node types: edges and center. The node type edges(which is also the default) specifies that the data associated with this axis is integrated between the edges of the bin (e.g. counts data). The node type center specifies that the data is given at the center of the bin (e.g. exposure or differential fluxes).

The edges of the bins can be checked with .edges attribute:

In [15]:
energy_axis.edges
Out[15]:
array([  1.        ,   3.16227766,  10.        ,  31.6227766 ,
       100.        ])

The numbers are given in the units we specified above, which can be checked again with:

In [16]:
energy_axis.unit
Out[16]:
$$\mathrm{TeV}$$

The centers of the axis bins can be checked with the .center attribute:

In [17]:
energy_axis.center
Out[17]:
array([ 1.77827941,  5.62341325, 17.7827941 , 56.23413252])

2. Accessing and Modifying Data

2.1 Accessing Map Data Values

All map objects have a set of accessor methods, which can be used to access or update the contents of the map irrespective of its underlying representation. Those accessor methods accept as their first argument a coordinate tuple containing scalars, list, or numpy.ndarray with one tuple element for each dimension. Some methods additionally accept a dict or MapCoord argument, of which both allow to assign coordinates by axis name.

Let us first begin with the .get_by_idx() method, that accepts a tuple of indices. The order of the indices corresponds to the axis order of the map:

In [18]:
m_gc.get_by_idx((50, 30))
Out[18]:
array([0.], dtype=float32)

Important: Gammapy uses a reversed index order in the map API with the longitude axes first. To achieve the same by directly indexing into the numpy array we have to call:

In [19]:
m_gc.data[([30], [50])]
Out[19]:
array([0.], dtype=float32)

To check the order of the axes you can always print the .geom attribute:

In [20]:
print(m_gc.geom)
WcsGeom

        axes       : lon, lat
        shape      : (500, 250)
        ndim       : 2
        coordsys   : GAL
        projection : TAN
        center     : 0.0 deg, 0.0 deg
        width      : 10.0 x 5.0 deg

To access values directly by sky coordinates we can use the .get_by_coord() method. This time we pass in a dict, specifying the axes names corresponding to the given coordinates:

In [21]:
m_gc.get_by_coord({"lon": [0, 180], "lat": [0, 0]})
Out[21]:
array([ 0., nan], dtype=float32)

The units of the coordinates are assumed to be in degrees in the coordinate system used by the map. If the coordinates do not correspond to the exact pixel center, the value of the nearest pixel center will be returned. For positions outside the map geometry np.nan is returned.

The coordinate or idx arrays follow normal Numpy broadcasting rules. So the following works as expected:

In [22]:
lons = np.linspace(-4, 4, 10)
m_gc.get_by_coord({"lon": lons, "lat": 0})
Out[22]:
array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0.], dtype=float32)

Or as an even more advanced example, we can provide lats as column vector and broadcasting to a 2D result array will be applied:

In [23]:
lons = np.linspace(-4, 4, 8)
lats = np.linspace(-4, 4, 8).reshape(-1, 1)
m_gc.get_by_coord({"lon": lons, "lat": lats})
Out[23]:
array([[nan, nan, nan, nan, nan, nan, nan, nan],
       [nan, nan, nan, nan, nan, nan, nan, nan],
       [ 0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.],
       [ 0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.],
       [ 0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.],
       [ 0.,  0.,  0.,  0.,  0.,  0.,  0.,  0.],
       [nan, nan, nan, nan, nan, nan, nan, nan],
       [nan, nan, nan, nan, nan, nan, nan, nan]], dtype=float32)

2.2 Modifying Map Data Values

To modify and set map data values the Map object features as well a .set_by_idx() method:

In [24]:
m_cube.set_by_idx(idx=(10, 20, 3), vals=42)
In [25]:
m_cube.get_by_idx((10, 20, 3))
Out[25]:
array([42.], dtype=float32)

Of course there is also a .set_by_coord() method, which allows to set map data values in physical coordinates.

In [26]:
m_cube.set_by_coord({"lon": 0, "lat": 0, "energy": 2 * u.TeV}, vals=42)

Again the lon and lat values are assumed to be given in degrees in the coordinate system used by the map. For the energy axis, the unit is the one specified on the axis (use m_cube.geom.axes[0].unit to check if needed…)

All .xxx_by_coord() methods accept SkyCoord objects as well. In this case we have to use the skycoord keyword instead of lon and lat:

In [27]:
skycoords = SkyCoord([1.2, 3.4], [-0.5, 1.1], frame="galactic", unit="deg")
m_cube.set_by_coord({"skycoord": skycoords, "energy": 2 * u.TeV}, vals=42)

2.3 Indexing and Slicing Sub-Maps

When you have worked with Numpy arrays in the past you are probably familiar with the concept of indexing and slicing into data arrays. To support slicing of non-spatial axes of Map objects, the Map object has a .slice_by_idx() method, which allows to extract sub-maps from a larger map.

The following example demonstrates how to get the map at the energy bin number 3:

In [28]:
m_sub = m_cube.slice_by_idx({"energy": 3})
print(m_sub)
WcsNDMap

        geom  : WcsGeom
        axes  : lon, lat
        shape : (500, 250)
        ndim  : 2
        unit  : ''
        dtype : float32

Note that the returned object is again a Map with updated axes information. In this case, because we extracted only a single image, the energy axes is dropped from the map.

To extract a sub-cube with a sliced energy axes we can use a normal slice() object:

In [29]:
m_sub = m_cube.slice_by_idx({"energy": slice(1, 3)})
print(m_sub)
WcsNDMap

        geom  : WcsGeom
        axes  : lon, lat, energy
        shape : (500, 250, 2)
        ndim  : 3
        unit  : ''
        dtype : float32

Note that the returned object is also a Map object, but this time with updated energy axis specification.

Slicing of multiple dimensions is supported by adding further entries to the dict passed to .slice_by_idx()

In [30]:
m_sub = m_4d.slice_by_idx({"energy": slice(1, 3), "time": slice(4, 10)})
print(m_sub)
WcsNDMap

        geom  : WcsGeom
        axes  : lon, lat, energy, time
        shape : (500, 250, 2, 6)
        ndim  : 4
        unit  : ''
        dtype : float32

For convenience there is also a .get_image_by_coord() method which allows to access image planes at given non-spatial physical coordinates. This method also supports Quantity objects:

In [31]:
image = m_4d.get_image_by_coord({"energy": 4 * u.TeV, "time": 5 * u.h})
print(image.geom)
WcsGeom

        axes       : lon, lat
        shape      : (500, 250)
        ndim       : 2
        coordsys   : GAL
        projection : CAR
        center     : 0.0 deg, 0.0 deg
        width      : 10.0 x 5.0 deg

3. Reading and Writing

Gammapy Map objects are serialized using the Flexible Image Transport Format (FITS). Depending on the pixelisation scheme (HEALPix or WCS) and presence of non-spatial dimensions the actual convention to write the FITS file is different. By default Gammpy uses a generic convention named gadf, which will support WCS and HEALPix formats as well as an arbitrary number of non-spatial axes. The convention is documented in detail on the Gamma Astro Data Formats page.

Other conventions required by specific software (e.g. the Fermi Science Tools) are supported as well. At the moment those are the following

  • fgst-ccube: Fermi counts cube format.
  • fgst-ltcube: Fermi livetime cube format.
  • fgst-bexpcube: Fermi exposure cube format
  • fgst-template: Fermi Galactic diffuse and source template format.
  • fgst-srcmap and fgst-srcmap-sparse: Fermi source map and sparse source map format.

The conventions listed above only support an additional energy axis.

3.1 Reading Maps

Reading FITS files is mainly exposed via the Map.read() method.Let us take a look at a first example:

In [32]:
filename = "$GAMMAPY_DATA/fermi_2fhl/fermi_2fhl_gc.fits.gz"
m_2fhl_gc = Map.read(filename)
print(m_2fhl_gc)
WcsNDMap

        geom  : WcsGeom
        axes  : lon, lat
        shape : (320, 180)
        ndim  : 2
        unit  : ''
        dtype : >f8

By default Map.read() will try to find the first valid data hdu in the filename and read the data from there. If mutliple HDUs are present in the FITS file, the desired one can be chosen with the additional hdu= argument:

In [33]:
m_2fhl_gc = Map.read(filename, hdu="background")
print(m_2fhl_gc)
WcsNDMap

        geom  : WcsGeom
        axes  : lon, lat
        shape : (320, 180)
        ndim  : 2
        unit  : ''
        dtype : >f8

In rare cases e.g. when the FITS file is not valid or meta data is missing from the header it can be necessary to modify the header of a certain HDU before creating the Map object. In this case we can use astropy.io.fits directly to read the FITS file:

In [34]:
filename = os.environ["GAMMAPY_DATA"] + "/fermi_survey/all.fits.gz"
hdulist = fits.open(filename)
hdulist.info()
Filename: /Users/deil/work/gammapy-tutorials/datasets/fermi_survey/all.fits.gz
No.    Name      Ver    Type      Cards   Dimensions   Format
  0  COUNTS        1 PrimaryHDU      84   (2001, 101)   int32
  1  BACKGROUND    1 ImageHDU        85   (2001, 101)   float64
  2  EXPOSURE      1 ImageHDU        85   (2001, 101)   float32

And then modify the header keyword and use Map.from_hdulist() to create the Map object after:

In [35]:
hdulist["exposure"].header["BUNIT"] = "cm2 s"
Map.from_hdulist(hdulist=hdulist, hdu="exposure")
Out[35]:
WcsNDMap

    geom  : WcsGeom
    axes  : lon, lat
    shape : (2001, 101)
    ndim  : 2
    unit  : 'cm2 s'
    dtype : >f4

3.2 Writing Maps

Writing FITS files is mainoy exposure via the Map.write() method. Here is a first example:

In [36]:
m_cube.write("example_cube.fits", overwrite=True)

By default Gammapy does not overwrite files. In this example we set overwrite=True in case the cell gets executed multiple times. Now we can read back the cube from disk using Map.read():

In [37]:
m_cube = Map.read("example_cube.fits")
print(m_cube)
WcsNDMap

        geom  : WcsGeom
        axes  : lon, lat, energy
        shape : (500, 250, 4)
        ndim  : 3
        unit  : ''
        dtype : >f4

We can also choose a different FITS convention to write the example cube in a format compatible to the Fermi Galactic diffuse background model:

In [38]:
m_cube.write("example_cube_fgst.fits", conv="fgst-template", overwrite=True)

To understand a little bit better the generic gadf convention we use Map.to_hdulist() to generate a list of FITS HDUs first:

In [39]:
hdulist = m_4d.to_hdulist(conv="gadf")
hdulist.info()
Filename: (No file associated with this HDUList)
No.    Name      Ver    Type      Cards   Dimensions   Format
  0  PRIMARY       1 PrimaryHDU      29   (500, 250, 4, 24)   float32
  1  PRIMARY_BANDS    1 BinTableHDU     33   96R x 7C   ['I', 'E', 'E', 'E', 'E', 'E', 'E']

As we can see the HDUList object contains to HDUs. The first one named PRIMARY contains the data array with shape corresponding to our data and the WCS information stored in the header:

In [40]:
hdulist["PRIMARY"].header
Out[40]:
SIMPLE  =                    T / conforms to FITS standard
BITPIX  =                  -32 / array data type
NAXIS   =                    4 / number of array dimensions
NAXIS1  =                  500
NAXIS2  =                  250
NAXIS3  =                    4
NAXIS4  =                   24
EXTEND  =                    T
WCSAXES =                    2 / Number of coordinate axes
CRPIX1  =                250.5 / Pixel coordinate of reference point
CRPIX2  =                125.5 / Pixel coordinate of reference point
CDELT1  =                -0.02 / [deg] Coordinate increment at reference point
CDELT2  =                 0.02 / [deg] Coordinate increment at reference point
CUNIT1  = 'deg'                / Units of coordinate increment and value
CUNIT2  = 'deg'                / Units of coordinate increment and value
CTYPE1  = 'GLON-CAR'           / galactic longitude, plate caree projection
CTYPE2  = 'GLAT-CAR'           / galactic latitude, plate caree projection
CRVAL1  =                  0.0 / [deg] Coordinate value at reference point
CRVAL2  =                  0.0 / [deg] Coordinate value at reference point
LONPOLE =                  0.0 / [deg] Native longitude of celestial pole
LATPOLE =                 90.0 / [deg] Native latitude of celestial pole
AXCOLS1 = 'E_MIN,E_MAX'
INTERP1 = 'log     '
AXCOLS2 = 'TIME_MIN,TIME_MAX'
INTERP2 = 'lin     '
WCSSHAPE= '(500,250,4,24)'
BANDSHDU= 'PRIMARY_BANDS'
META    = '{}      '
BUNIT   = ''

The second HDU is a BinTableHDU named PRIMARY_BANDS contains the information on the non-spatial axes such as name, order, unit, min, max and center values of the axis bins. We use an astropy.table.Table to show the information:

In [41]:
Table.read(hdulist["PRIMARY_BANDS"])
Out[41]:
Table length=96
CHANNELENERGYE_MINE_MAXTIMETIME_MINTIME_MAX
TeVTeVTeVhhh
int16float32float32float32float32float32float32
01.77827941.03.16227770.50.01.0
15.6234133.162277710.00.50.01.0
217.78279510.031.6227760.50.01.0
356.2341331.622776100.00.50.01.0
41.77827941.03.16227771.51.02.0
55.6234133.162277710.01.51.02.0
617.78279510.031.6227761.51.02.0
756.2341331.622776100.01.51.02.0
81.77827941.03.16227772.52.03.0
.....................
8617.78279510.031.62277621.521.022.0
8756.2341331.622776100.021.521.022.0
881.77827941.03.162277722.522.023.0
895.6234133.162277710.022.522.023.0
9017.78279510.031.62277622.522.023.0
9156.2341331.622776100.022.522.023.0
921.77827941.03.162277723.523.024.0
935.6234133.162277710.023.523.024.0
9417.78279510.031.62277623.523.024.0
9556.2341331.622776100.023.523.024.0

4. Visualizing and Plotting

4.1 Plotting

For debugging and inspecting the map data it is useful to plot ot visualize the images planes contained in the map.

In [42]:
filename = "$GAMMAPY_DATA/fermi_2fhl/fermi_2fhl_gc.fits.gz"
m_2fhl_gc = Map.read(filename, hdu="counts")

After reading the map we can now plot it on the screen by calling the .plot() method:

In [43]:
m_2fhl_gc.plot();
../_images/notebooks_intro_maps_86_0.png

We can easily improve the plot by calling Map.smooth() first and providing additional arguments to .plot(). Most of them are passed further to plt.imshow():

In [44]:
smoothed = m_2fhl_gc.smooth(width=0.2 * u.deg, kernel="gauss")
smoothed.plot(stretch="sqrt", add_cbar=True, vmax=4, cmap="inferno");
../_images/notebooks_intro_maps_88_0.png

We can use the plt.rc_context() context manager to further tweak the plot by adapting the figure and font size:

In [45]:
rc_params = {"figure.figsize": (12, 5.4), "font.size": 12}
with plt.rc_context(rc=rc_params):
    smoothed = m_2fhl_gc.smooth(width=0.2 * u.deg, kernel="gauss")
    smoothed.plot(stretch="sqrt", add_cbar=True, vmax=4);
../_images/notebooks_intro_maps_90_0.png

4.2 Interactive Plotting

For maps with non-spatial dimensions the Map object features an interactive plotting method, that works in jupyter notebooks only (Note: it requires the package ipywidgets to be installed). We first read a small example cutout from the Fermi Galactic diffuse model and display the data cube by calling .plot_interactive():

In [46]:
filename = "$GAMMAPY_DATA/fermi_3fhl/gll_iem_v06_cutout.fits"
m_iem_gc = Map.read(filename)

rc_params = {
    "figure.figsize": (12, 5.4),
    "font.size": 12,
    "axes.formatter.limits": (2, -2),
}
m_iem_gc.plot_interactive(add_cbar=True, stretch="sqrt", rc_params=rc_params)
../_images/notebooks_intro_maps_92_0.png

Now you can use the interactive slider to select an energy range and the corresponding image is diplayed on the screen. You can also use the radio buttons to select your preferred image stretching. We have passed additional keywords using the rc_params argument to improve the figure and font size. Those keywords are directly passed to the plt.rc_context() context manager.

5. Reprojecting, Interpolating and Miscellaneous

5.1 Reprojecting to Different Map Geometries

The example map m_iem_gc is given in Galactic coordinates:

In [47]:
print(m_iem_gc.geom)
WcsGeom

        axes       : lon, lat, energy
        shape      : (88, 48, 30)
        ndim       : 3
        coordsys   : GAL
        projection : CAR
        center     : 0.0 deg, -0.1 deg
        width      : 11.0 x 6.0 deg

As an example we will now extract the image at ~10 GeV and reproject it to ICRS coordinates. For this we first define the target map WCS geometry. As .reproject() only applies to the spatial axes, we do not have to specify any additional non-spatial axes:

In [48]:
skydir = SkyCoord(266.4, -28.9, frame="icrs", unit="deg")
wcs_geom_cel = WcsGeom.create(
    skydir=skydir, binsz=0.1, coordsys="CEL", width=(8, 4)
)

Then we extract the image at ~10 GeV, reproject to the target geometry and plot the result:

In [49]:
m_iem = m_iem_gc.get_image_by_coord({"energy": 10 * u.GeV})
m_iem_cel = m_iem.reproject(wcs_geom_cel)
m_iem_cel.plot(add_cbar=True, vmin=0, vmax=2.5e-9)
Out[49]:
(<Figure size 432x288 with 2 Axes>,
 <matplotlib.axes._subplots.WCSAxesSubplot at 0x11eef9908>,
 <matplotlib.colorbar.Colorbar at 0x11a64c160>)
../_images/notebooks_intro_maps_99_1.png

5.2 Interpolating Map Values

While for the reprojection example above we used .get_image_by_coord() to extract the closest image to ~10 GeV, we can use the more general method .interp_by_coord() to interpolate in the energy axis as well. For this we first define again the target map geometry:

In [50]:
m_iem_10GeV = Map.from_geom(wcs_geom_cel)
coords = m_iem_10GeV.geom.get_coord()

m_iem_10GeV.data = m_iem_gc.interp_by_coord(
    {"skycoord": coords.skycoord, "energy": 10 * u.GeV},
    interp="linear",
    fill_value=np.nan,
)
m_iem_10GeV.plot(add_cbar=True, vmin=0, vmax=2.5e-9);
../_images/notebooks_intro_maps_101_0.png

5.3 Making Cutouts

The WCSNDMap objects features a .cutout() method, which allows you to cut out a smaller part of a larger map. This can be useful, e.g. when working with allsky diffuse maps. Here is an example:

In [51]:
position = SkyCoord(0, 0, frame="galactic", unit="deg")
m_iem_cutout = m_iem_gc.cutout(position=position, width=(4 * u.deg, 2 * u.deg))

rc_params = {
    "figure.figsize": (12, 5.4),
    "font.size": 12,
    "axes.formatter.limits": (2, -2),
}
m_iem_cutout.plot_interactive(
    add_cbar=True, rc_params=rc_params, stretch="linear"
)
../_images/notebooks_intro_maps_103_0.png

The returned object is again a Map object with udpated WCS information and data size. As one can see the cutout is automatically applied to all the non-spatial axes as well. The cutout width is given in the order of (lon, lat) and can be specified with units that will be handled correctly.

In [52]: