NDimensional Datasets (astropy.nddata
)¶
Introduction¶
The nddata
package provides classes to represent images and other
gridded data, some essential functions for manipulating images, and the
infrastructure for package developers who wish to include support for the
image classes.
Getting Started¶
NDData¶
The primary purpose of NDData
is to act as a container for
data, metadata, and other related information like a mask.
An NDData
object can be instantiated by passing it an
ndimensional numpy
array:
>>> import numpy as np
>>> from astropy.nddata import NDData
>>> array = np.zeros((12, 12, 12)) # a 3dimensional array with all zeros
>>> ndd1 = NDData(array)
Or something that can be converted to a numpy.ndarray
:
>>> ndd2 = NDData([1, 2, 3, 4])
>>> ndd2
NDData([1, 2, 3, 4])
And can be accessed again via the data
attribute:
>>> ndd2.data
array([1, 2, 3, 4])
It also supports additional properties like a unit
or mask
for the
data, a wcs
(World Coordinate System) and uncertainty
of the data and
additional meta
attributes:
>>> data = np.array([1,2,3,4])
>>> mask = data > 2
>>> unit = 'erg / s'
>>> from astropy.nddata import StdDevUncertainty
>>> uncertainty = StdDevUncertainty(np.sqrt(data)) # representing standard deviation
>>> meta = {'object': 'fictional data.'}
>>> from astropy.coordinates import SkyCoord
>>> wcs = SkyCoord('00h42m44.3s', '+41d16m09s')
>>> ndd = NDData(data, mask=mask, unit=unit, uncertainty=uncertainty,
... meta=meta, wcs=wcs)
>>> ndd
NDData([1, 2, 3, 4])
The representation only displays the data
; the other attributes need to be
accessed directly, for example, ndd.mask
to access the mask.
NDDataRef¶
Building upon this pure container, NDDataRef
implements:
A
read
andwrite
method to accessastropy
’s unified file I/O interface.Simple arithmetics like addition, subtraction, division, and multiplication.
Slicing.
Instances are created in the same way:
>>> from astropy.nddata import NDDataRef
>>> ndd = NDDataRef(ndd)
>>> ndd
NDDataRef([1, 2, 3, 4])
But also support arithmetic (NDData Arithmetic) like addition:
>>> import astropy.units as u
>>> ndd2 = ndd.add([4, 3.5, 3, 2.5] * u.erg / u.s)
>>> ndd2
NDDataRef([ 5. , 1.5, 6. , 6.5])
Because these operations have a wide range of options, these are not available
using arithmetic operators like +
.
Slicing or indexing (Slicing and Indexing NDData) is possible (with warnings issued if some attribute cannot be sliced):
>>> ndd2[2:] # discard the first two elements
INFO: wcs cannot be sliced. [astropy.nddata.mixins.ndslicing]
NDDataRef([6. , 6.5])
>>> ndd2[1] # get the second element
INFO: wcs cannot be sliced. [astropy.nddata.mixins.ndslicing]
NDDataRef(1.5)
Working with TwoDimensional Data Like Images¶
Though the nddata
package supports any kind of gridded data, this
introduction will focus on the use of nddata
for twodimensional
images. To get started, we will construct a twodimensional image with a few
sources, some Gaussian noise, and a “cosmic ray” which we will later mask out.
Examples¶
First, construct a twodimensional image with a few sources, some Gaussian noise, and a “cosmic ray”:
>>> import numpy as np
>>> from astropy.modeling.models import Gaussian2D
>>> y, x = np.mgrid[0:500, 0:600]
>>> data = (Gaussian2D(1, 150, 100, 20, 10, theta=0.5)(x, y) +
... Gaussian2D(0.5, 400, 300, 8, 12, theta=1.2)(x,y) +
... Gaussian2D(0.75, 250, 400, 5, 7, theta=0.23)(x,y) +
... Gaussian2D(0.9, 525, 150, 3, 3)(x,y) +
... Gaussian2D(0.6, 200, 225, 3, 3)(x,y))
>>> data += 0.01 * np.random.randn(500, 600)
>>> cosmic_ray_value = 0.997
>>> data[100, 300:310] = cosmic_ray_value
This image has a large “galaxy” in the lower left and the “cosmic ray” is the horizontal line in the lower middle of the image:
>>> import matplotlib.pyplot as plt
>>> plt.imshow(data, origin='lower')
The “cosmic ray” can be masked out in this test image, like this:
>>> mask = (data == cosmic_ray_value)
CCDData
Class for Images¶
The CCDData
object, like the other objects in this package,
can store the data, a mask, and metadata. The CCDData
object
requires that a unit be specified:
>>> from astropy.nddata import CCDData
>>> ccd = CCDData(data, mask=mask,
... meta={'object': 'fake galaxy', 'filter': 'R'},
... unit='adu')
Slicing¶
Slicing works the way you would expect with the mask and, if present, WCS, sliced appropriately:
>>> ccd2 = ccd[:200, :]
>>> ccd2.data.shape
(200, 600)
>>> ccd2.mask.shape
(200, 600)
>>> # Show the mask in a region around the cosmic ray:
>>> ccd2.mask[99:102, 299:311]
array([[False, False, False, False, False, False, False, False, False,
False, False, False],
[False, True, True, True, True, True, True, True, True,
True, True, False],
[False, False, False, False, False, False, False, False, False,
False, False, False]]...)
For many applications it may be more convenient to use
Cutout2D
, described in image_utilities.
Image Arithmetic, Including Uncertainty¶
Methods are provided for basic arithmetic operations between images, including
propagation of uncertainties. Three uncertainty types are supported: variance
(VarianceUncertainty
), standard deviation
(StdDevUncertainty
), and inverse variance
(InverseVariance
).
Examples¶
This example creates an uncertainty that is Poisson error, stored as a variance:
>>> from astropy.nddata import VarianceUncertainty
>>> poisson_noise = np.ma.sqrt(np.ma.abs(ccd.data))
>>> ccd.uncertainty = VarianceUncertainty(poisson_noise ** 2)
As a convenience, the uncertainty can also be set with a numpy
array. In
that case, the uncertainty is assumed to be the standard deviation:
>>> ccd.uncertainty = poisson_noise
INFO: array provided for uncertainty; assuming it is a StdDevUncertainty. [astropy.nddata.ccddata]
If we make a copy of the image and add that to the original, the uncertainty changes as expected:
>>> ccd2 = ccd.copy()
>>> added_ccds = ccd.add(ccd2, handle_meta='first_found')
>>> added_ccds.uncertainty.array[0, 0] / ccd.uncertainty.array[0, 0] / np.sqrt(2)
0.99999999999999989
Reading and Writing¶
A CCDData
can be saved to a FITS file:
>>> ccd.write('test_file.fits')
And can also be read in from a FITS file:
>>> ccd2 = CCDData.read('test_file.fits')
Note the unit is stored in the BUNIT
keyword in the header on saving, and is
read from the header if it is present.
Detailed help on the available keyword arguments for reading and writing
can be obtained via the help()
method as follows:
>>> CCDData.read.help('fits') # Get help on the CCDData FITS reader
>>> CCDData.writer.help('fits') # Get help on the CCDData FITS writer
Image Utilities¶
Cutouts¶
Though slicing directly is one way to extract a subframe,
Cutout2D
provides more convenient access to cutouts from the
data.
Examples¶
This example pulls out the large “galaxy” in the lower left of the image, with
the center of the cutout at position
:
>>> from astropy.nddata import Cutout2D
>>> position = (149.7, 100.1)
>>> size = (81, 101) # pixels
>>> cutout = Cutout2D(ccd, position, size)
>>> plt.imshow(cutout.data, origin='lower')
This cutout can also plot itself on the original image:
>>> plt.imshow(ccd, origin='lower')
>>> cutout.plot_on_original(color='white')
The cutout also provides methods for finding pixel coordinates in the original
or in the cutout; recall that position
is the center of the cutout in the
original image:
>>> position
(149.7, 100.1)
>>> cutout.to_cutout_position(position)
(49.7, 40.099999999999994)
>>> cutout.to_original_position((49.7, 40.099999999999994))
(149.7, 100.1)
For more details, including constructing a cutout from World Coordinates and the options for handling cutouts that go beyond the bounds of the original image, see 2D Cutout Images.
Image Resizing¶
The functions block_reduce
and
block_replicate
resize images.
Example¶
This example reduces the size of the image by a factor of 4. Note that the
result is a numpy.ndarray
; the mask, metadata, etc. are discarded:
>>> from astropy.nddata import block_reduce, block_replicate
>>> smaller = block_reduce(ccd, 4)
>>> smaller
array(...)
>>> plt.imshow(smaller, origin='lower')
By default, both block_reduce
and
block_replicate
conserve flux.
Other Image Classes¶
There are two less restrictive classes, NDDataArray
and
NDDataRef
, that can be used to hold image data. They are
primarily of interest to those who may want to create their own image class by
subclassing from one of the classes in the nddata
package. The main
differences between them are:
NDDataRef
can be sliced and has methods for basic arithmetic operations, but the user needs to use one of the uncertainty classes to define an uncertainty. See NDDataRef for more detail. Most of its properties must be set when the object is created because they are not mutable.NDDataArray
extendsNDDataRef
by adding the methods necessary for it to behave like anumpy
array in expressions and adds setters for several properties. It lacks the ability to automatically recognize and read data from FITS files and does not attempt to automatically set the WCS property.CCDData
extendsNDDataArray
by setting up a default uncertainty class, setting up straightforward read/write to FITS files, and automatically setting up a WCS property.
More General Gridded Data Classes¶
There are two additional classes in the nddata
package that are of
interest primarily to users who either need a custom image class that goes
beyond the classes discussed so far, or who are working with gridded data that
is not an image.
NDData
is a container class for holding general gridded data. It includes a handful of basic attributes, but no slicing or arithmetic. More information about this class is in NDData.NDDataBase
is an abstract base class that developers of new gridded data classes can subclass to declare that the new class follows theNDData
interface. More details are in Subclassing.
Additional Examples¶
The list of packages below that use the nddata
framework is intended to be
useful to either users writing their own image classes or those looking
for an image class that goes beyond what CCDData
does.
The SunPy project uses
NDData
as the foundation for its Map classes.The class
NDDataRef
is used in specutils as the basis for Spectrum1D, which adds several methods useful for spectra.The package ndmapper, which makes it easy to build reduction pipelines for optical data, uses
NDDataArray
as its image object.The package ccdproc uses the
CCDData
class throughout for implementing optical/IR image reduction.
Using nddata
¶
Performance Tips¶
Using the uncertainty class
VarianceUncertainty
will be somewhat more efficient than the other two uncertainty classes,InverseVariance
andStdDevUncertainty
. The latter two are converted to variance for the purposes of error propagation and then converted from variance back to the original uncertainty type. The performance difference should be small.When possible, mask values by setting them to
np.nan
and use thenumpy
functions and methods that automatically excludenp.nan
, likenp.nanmedian
andnp.nanstd
. This will typically be much faster than usingnumpy.ma.MaskedArray
.
Reference/API¶
astropy.nddata Package¶
The astropy.nddata
subpackage provides the NDData
class and related tools to manage ndimensional arraybased data (e.g.
CCD images, IFU Data, gridbased simulation data, …). This is more than
just numpy.ndarray
objects, because it provides metadata that cannot
be easily provided by a single array.
Functions¶

Add a smaller array at a given position in a larger array. 

Converts an array of bit fields to a boolean (or integer) mask array according to a bit mask constructed from the supplied bit flags (see 

Downsample a data array by applying a function to local blocks. 

Upsample a data array by block replication. 

Extract a smaller array of the given shape and position from a larger array. 

Generate a CCDData object from a FITS file. 

Write CCDData object to FITS file. 

Converts input bit flags to a single integer value (bit mask) or 

Get slices for the overlapping part of a small and a large array. 

Convert decimal points to indices, given a subsampling factor. 

Decorator to wrap functions that could accept an NDData instance with its properties passed as function arguments. 
Classes¶

A class describing basic CCD data. 
Configuration parameters for 


Create a cutout object from a 2D array. 

The purpose of this class is to provide a dictionary for containing arrays of flags for the 
This exception should be used to indicate cases in which uncertainties with two different classes can not be propagated. 


Inverse variance uncertainty assuming first order Gaussian error propagation. 
This exception should be used to indicate that an uncertainty instance has not been associated with a parent 

Mixin class to add arithmetic to an NDData object. 


A container for 

An 
Base metaclass that defines the interface for Ndimensional datasets with associated meta information used in 


Implements 
Mixin class to connect NDData to the astropy input/output registry. 

Mixin to provide slicing on objects using the 


This is the metaclass for uncertainty classes used with 
Raised when determining the overlap of nonoverlapping arrays. 

Raised when arrays only partially overlap. 


Standard deviation uncertainty assuming first order gaussian error propagation. 

This class implements any unknown uncertainty type. 

Variance uncertainty assuming first order Gaussian error propagation. 
astropy.nddata.bitmask Module¶
A module that provides functions for manipulating bit masks and data quality (DQ) arrays.
Functions¶

Converts an array of bit fields to a boolean (or integer) mask array according to a bit mask constructed from the supplied bit flags (see 

Converts input bit flags to a single integer value (bit mask) or 
astropy.nddata.utils Module¶
This module includes helper functions for array operations.
Functions¶

Extract a smaller array of the given shape and position from a larger array. 

Add a smaller array at a given position in a larger array. 

Convert decimal points to indices, given a subsampling factor. 

Get slices for the overlapping part of a small and a large array. 

Downsample a data array by applying a function to local blocks. 

Upsample a data array by block replication. 