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snapgrid - grid a snapshot into a 2D or 3D image (cube), with optional
snapgrid in=snapshot out=image [parameter=value]
grids three arbitrary bodytrans(3NEMO)
expressions (default: x, y and
-vz) of a snapshot into a 2D or 3D image(5NEMO)
dataset, with optional astronomical
projection for direct comparision with astronomical images.
The X and Y
coordinates of the datacube can only be regularly gridded in histogram
fashion (for spatial XY-smoothing see ccdsmooth(1NEMO)
, for interpolating
see also snapmap(1NEMO)
), however the Z coordinate has the property that
it can take moments in this variable, pick a number of planes or planes
The output image is written in standard image(5NEMO)
and can be accessed by various other programs for smoothing, display etc.
can grid datacubes (e.g. X-Y-Z), snapgridsmooth(1NEMO)
is probably easier to use, since it does not integrate along any lines
of sight, whereas this program is more suited for taking moments along
the 3rd axis.
For images that require more accurate interpolation, instead
of this histogramming approach, use snapmap(1NEMO)
For a related program
that creates images (and can create movies as well), see uns_2dplot(1NEMO)
As of V6.0 the units in 3D cubes will be particle density. This ensures that
programs such as ccdmom(1NEMO)
give the proper answer
in their summed emission.
In the yt package such images are called phase
plot, where a 2D grid in field1 (xvar=) and field2 (yvar=) is computed,
with some statistic (mom=) on field3 (evar=).
The following parameters
The following example
makes three moment images from an N-body snapshot, then smooths and combines
them into an ’intensity’ (int), ’mean velocity’ (vel) and ’velocity dispersion’
(sig) map using a CCD math operator.
- input file, must be in snapshot(5NEMO)
Multiple snapshots can be stacked uses the times= keyword: see stack= below.
- output file, will be in image(5NEMO)
- Selection of the times of snapshots to be selected
for gridding. For stack=t all snapshots will be co-added into one image,
however selecting stack=f or selecting multiple evar’s one can request multiple
output images. [Default: all].
- Range in xvar to bin, the coordinates
are allowed to decrease as well as increase. [default: -2:2].
- Range in yvar to bin [default: -2:2].
- Range in
zvar to bin, or take moments of [default: -infinity:infinity].
- The value of x-expression is gridded along the X axis. [default: x].
- The value of y-expression is gridded along the Y axis. [default: y].
- The value of z-expression is gridded along the Z axis (nz>1), or moments
taken off (nz=1). [default: -vz].
- Variable to denote emissivity
per particle. You can select more than 1 expression, in which case different
images will be written out (only in stack=f mode) [default: m].
- Variable to denote the optical depth of a particle. [Default: 0]
- Variable to denote the line of sight. [Default: z]
to denote gaussian smoothing Note this is the gaussian sigma, not the
FWHM (FMHW = 2.355 * sigma).
- Number of pixels along the X axis
of the cube [default: 64].
- Number of pixels along the Y axis
of the cube [default: 64].
- Number of pixels along the Z axis
of the cube. If one pixel is choosen, moments can be taken (see below),
else a simple gridding is used. [default: 1].
- Text used to label
the X-axis. By default the xvar expression is used. It may be useful in certain
astronomical environment to label the axis with recognized labels like
RA---TAN, DEC--SIN, GLON etc.
- Same for the Y-axis.
for the Z-axis.
- Order of the Z-gridding. Most commonly choosen
are: 0 (total intensity), 1 (velocity zvar weighted intensity) and 2 (velocity
square weighted intensity), where ’intensity’ should really be read as surface
density per square unit length. Special values of -1 and -2 can be used to
directly compute the evar weighted mean and the dispersion from the mean.
-3 and -4 are used to compute the gaussian-hermitian h3 and h4 moments (see
e.g. van der Marel & Franx, 1993) [default: 0].
- Should the emission
in a cell be averaged? This also controls the units of the gridding. For
mean=f (the default) a surface-density is computed (emission per square
length), whereas for mean=t the average per
pixel (or voxel) is computed of the units of emission. Another way of looking
at this, mean=t is for interpolating maps (see also snapmap(1NEMO)
as mean=f is for splatting information as if this was observed. [Default:
- Should all snapshots from the input file be stacked, or write
one image per selected (see times=) time? [default: f].
selected, instead of summing points along the zvar, they are sorted and
integrated along dvar. This is appropriate when emission represents something
like a density, instead of a mass, and a total column density is needed.
** This option can only compute 2D moment=0 maps and also cannot handle
stacked snapshots yet ** [default: f].
- If a valid projection type
(SIN, TAN, ARC, NCP, GLS, MER, AIT) but see also wcs(1NEMO)
, the input
coordinates are interpreted in angular degrees, and griddes with the appropriate
sky projection. Default: no sky projection.
Note that the moment maps must be smoothed
before they can be combined to the proper velocity and dispersion maps.
% snapgrid in=nbody.dat out=map0 moment=0
% snapgrid in=nbody.dat out=map1 moment=1
% snapgrid in=nbody.dat out=map2 moment=2
% ccdsmooth in=map0 out=map00 gauss=0.1
% ccdsmooth in=map1 out=map11 gauss=0.1
% ccdsmooth in=map2 out=map22 gauss=0.1
% mv map00 int
% ccdmath in=int,map11 out=vel fie=%2/%1
% ccdmath in=int,vel,map22 out=sig fie="sqrt(%3/%1-%2*%2)"
% rm map11 map22
Alternatively, with the option of using negative moments, one can also
use (assuming no smoothing implemented):
% snapgrid in=nbody.dat out=int moment=0
% snapgrid in=nbody.dat out=vel moment=-1
% snapgrid in=nbody.dat out=sig moment=-2
Consider now the situation where a coordinate is regularly sampled, with
N values between A and B. In order to grid these, one would normally use
a range=A-dx/2:B+dx/2, where dx=(B-A)/(N-1). One can also make a grid with
N cells with emission, and K blank cells between each valued cell (K would
be typically small, perhaps 1 or 2). With NK=(K+1)N-K and dx=(B-A)/(NK-1),
a range=A-dx/2:B+dx/2 is used. If this is done in both the X and Y dimension,
the program ccdintpol(1NEMO)
can be used to create a bi-linearly interpolated
grid with more pixels for a seemingly higher sampled map. Most likely the
option mean=t will have to be used to conserve units between runs with
different values of K.
Here is an example of making a gridded map of ungridded
data. Both unweighted, and weighted. Suppose the snapshot has the weights
stored in the Aux field, and we use these as weights (i.e. sum(mass*Aux)/sum(Aux)
would be the quantity of interest). The unweighted average uses the mean=t
snapgrid ... out=map0 evar=m mean=t
but the weighted average computes the two maps seperately and uses ccdmath(1NEMO)
to divide them to get the desired result:
snapgrid ... out=map1 evar=’m*aux’
snapgrid ... out=map2 evar=’aux’
ccdmath in=map1,map2 out=map3 fie="ifeq(%2,0,0,%1/%2)"
with an additional safeguard to set cells to 0 if no emission with found
Krajnovic et al. (2006) popularized kinemetry, a description
of line of sight velocities in terms of the first four moments (v, sigma,
h3 and h4). The following example shows how to create these maps with snapgrid:
% snapgrid ...
Units are maintained in the same way as in snapshots, they don’t have
a specific name, but carry their normal meaning ’length’, ’velocity’ and ’mass’.
Since snapgrid calculates (surface/space) densities, its units are formally
’mass’ per square ’length’ times ’velocity’ to the power moment. Notice the mean=
keyword, which prevents division by the cellsize.
When channel maps are
produced (moment=0), the data are not normalized w.r.t. the convolving velocity
beam. For a rectangular beam (vrange=vmin:vmax) the data should formally
be divided by (vmax-vmin), for a gaussian beam (vrange=vmean,vsig) by vsig*sqrt(2*pi).
Also remember that a gaussian beam has FWHM = 2.355*sigma.
can also be used, after a snapshot has been gridded into a map/cube, ccdsky(1NEMO)
can optionally be used to rescale a cube in astronomical units (degrees
and m/s) such that exported FITS files can be compared directly with model
generated FITS files.
Combinations of large snapshots and large images
may run into memory problems since both the snapshot and the image(s) must
fit into memory to obtain turbo speeds. Use non-negative moments to avoid
having to allocate one or two extra images in addition to the snapshot
and the image.
Sky projections do not guarantee flux conservation.
http://www.ncarg.ucar.edu//ngmath/natgrid/nnhome.html (based on NNGRIDR)
19-jan-89 V1.0: Created PJT
12-mar-89 V1.1: added emisitivity evar PJT
2-nov-90 V2.0: allow stacked snapshots PJT
21-oct-91 V3.0: moment -1,-2 implemented PJT
12-jun-92 V3.1: added times= PJT
18-jul-92 V3.2: fixed bug when moment<0 and stacked snapshots PJT
30-jul-93 V4.0: allow multiple evar’s - default is now stack=f PJT
18-jun-98 V4.4: added xlab/ylab/zlab and allow range>range PJT
8-may-04 V5.0: added proj= to optionallaly allow sky projections PJT
7-feb-06 V5.1: added integrate=t to deal with 3D density points PJT
2-mar-11 V5.3: moment -3,-4 implemented PJT
18-may-12 V5.4: added smoothing in VZ (szvar)
14-feb-13 V6.0: units changed on a cube (now xyz-density instead of xy-surface
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