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PROGRAM:

NAME


dimfilter - Directional filtering of 2-D gridded files in the space (or time) domain

SYNOPSIS


dimfilter input_file.nc distance_flag <filtertype><width>[mode] output_file.nc
<filtertype><n_sectors> [ cols ] [ increment ] [ region ] [ ] [ [level] ] [ -f<flags> ]

Note: No space is allowed between the option flag and the associated arguments.

DESCRIPTION


dimfilter will filter a .nc file in the space (or time) domain by dividing the given
filter circle into n_sectors, applying one of the selected primary convolution or
non-convolution filters to each sector, and choosing the final outcome according to the
selected secondary filter. It computes distances using Cartesian or Spherical geometries.
The output .nc file can optionally be generated as a subregion of the input and/or with a
new -Increment. In this way, one may have "extra space" in the input data so that there
will be no edge effects for the output grid. If the filter is low-pass, then the output
may be less frequently sampled than the input. -Q is for the error analysis mode and only
requires the total number of columns in the input file, which contains the filtered
depths. Finally, one should know that dimfilter will not produce a smooth output as other
spatial filters do because it returns a minimum median out of N medians of N sectors. The
output can be rough unless the input data is noise-free. Thus, an additional filtering
(e.g., Gaussian via grdfilter) of the DiM-filtered data is generally recommended.

REQUIRED ARGUMENTS


input_file.nc
The data grid to be filtered.

-Ddistance_flag
Distance flag tells how grid (x,y) relates to filter width, as follows:

flag = 0: grid (x,y) same units as width, Cartesian distances. flag = 1: grid
(x,y) in degrees, width in kilometers, Cartesian distances. flag = 2: grid (x,y)
in degrees, width in km, dx scaled by cos(middle y), Cartesian distances.

The above options are fastest because they allow weight matrix to be computed only
once. The next three options are slower because they recompute weights for each
latitude.

flag = 3: grid (x,y) in degrees, width in km, dx scaled by cosine(y), Cartesian
distance calculation.

flag = 4: grid (x,y) in degrees, width in km, Spherical distance calculation.

-F<filtertype><width>[mode]
Sets the primary filter type. Choose among convolution and non-convolution filters.
Append the filter code followed by the full diameter width. Available convolution
filters are:

(b) Boxcar: All weights are equal.

(c) Cosine Arch: Weights follow a cosine arch curve.

(g) Gaussian: Weights are given by the Gaussian function.

Non-convolution filters are:

(m) Median: Returns median value.

(p) Maximum likelihood probability (a mode estimator): Return modal value. If more
than one mode is found we return their average value. Append - or + to the filter
width if you rather want to return the smallest or largest of the modal values.

-N<filtertype><n_sectors>
Sets the secondary filter type and the number of bow-tie sectors. n_sectors must
be integer and larger than 0. When n_sectors is set to 1, the secondary filter is
not effective. Available secondary filters are:

(l) Lower: Return the minimum of all filtered values.

(u) Upper: Return the maximum of all filtered values.

(a) Average: Return the mean of all filtered values.

(m) Median: Return the median of all filtered values.

(p) Mode: Return the mode of all filtered values.

-Goutput_file.nc
output_file.nc is the output of the filter.

OPTIONAL ARGUMENTS


-I x_inc [and optionally y_inc] is the output Increment. Append m to indicate minutes,
or c to indicate seconds. If the new x_inc, y_inc are NOT integer multiples of the
old ones (in the input data), filtering will be considerably slower. [Default: Same
as input.]

-R west, east, south, and north defines the Region of the output points. [Default:
Same as input.]

-T Toggle the node registration for the output grid so as to become the opposite of
the input grid [Default gives the same registration as the input grid].

-Qcols cols is the total number of columns in the input text table file. For this mode,
it expects to read depths consisted of several columns. Each column represents a
filtered grid with a filter width, which can be obtained by grd2xyz -Z. The outcome
will be median, MAD, and mean. So, the column with the medians is used to generate
the regional component and the column with the MADs is used to conduct the error
analysis.

-V[level] (more ...)
Select verbosity level [c].

-f[i|o]colinfo (more ...)
Specify data types of input and/or output columns.

-^ or just -
Print a short message about the syntax of the command, then exits (NOTE: on Windows
use just -).

-+ or just +
Print an extensive usage (help) message, including the explanation of any
module-specific option (but not the GMT common options), then exits.

-? or no arguments
Print a complete usage (help) message, including the explanation of options, then
exits.

--version
Print GMT version and exit.

--show-datadir
Print full path to GMT share directory and exit.

GRID FILE FORMATS


By default GMT writes out grid as single precision floats in a COARDS-complaint netCDF
file format. However, GMT is able to produce grid files in many other commonly used grid
file formats and also facilitates so called "packing" of grids, writing out floating point
data as 1- or 2-byte integers. To specify the precision, scale and offset, the user should
add the suffix =id[/scale/offset[/nan]], where id is a two-letter identifier of the grid
type and precision, and scale and offset are optional scale factor and offset to be
applied to all grid values, and nan is the value used to indicate missing data. In case
the two characters id is not provided, as in =/scale than a id=nf is assumed. When
reading grids, the format is generally automatically recognized. If not, the same suffix
can be added to input grid file names. See grdconvert and Section grid-file-format of the
GMT Technical Reference and Cookbook for more information.

When reading a netCDF file that contains multiple grids, GMT will read, by default, the
first 2-dimensional grid that can find in that file. To coax GMT into reading another
multi-dimensional variable in the grid file, append ?varname to the file name, where
varname is the name of the variable. Note that you may need to escape the special meaning
of ? in your shell program by putting a backslash in front of it, or by placing the
filename and suffix between quotes or double quotes. The ?varname suffix can also be used
for output grids to specify a variable name different from the default: "z". See
grdconvert and Sections modifiers-for-CF and grid-file-format of the GMT Technical
Reference and Cookbook for more information, particularly on how to read splices of 3-,
4-, or 5-dimensional grids.

GEOGRAPHICAL AND TIME COORDINATES


When the output grid type is netCDF, the coordinates will be labeled "longitude",
"latitude", or "time" based on the attributes of the input data or grid (if any) or on the
-f or -R options. For example, both -f0x -f1t and -R90w/90e/0t/3t will result in a
longitude/time grid. When the x, y, or z coordinate is time, it will be stored in the grid
as relative time since epoch as specified by TIME_UNIT and TIME_EPOCH in the gmt.conf file
or on the command line. In addition, the unit attribute of the time variable will indicate
both this unit and epoch.

EXAMPLES


Suppose that north_pacific_dbdb5.nc is a file of 5 minute bathymetry from 140E to 260E and
0N to 50N, and you want to find the medians of values within a 300km radius (600km full
width) of the output points, which you choose to be from 150E to 250E and 10N to 40N, and
you want the output values every 0.5 degree. To prevent the medians from being biased by
the sloping plane, you want to divide the filter circle into 6 sectors and to choose the
lowest value among 6 medians. Using spherical distance calculations, you need:

gmt dimfilter north_pacific_dbdb5.nc -Gfiltered_pacific.nc -Fm600 -D4 \
-Nl6 -R150/250/10/40 -I0.5 -V

Suppose that cape_verde.nc is a file of 0.5 minute bathymetry from 32W to 15W and 8N to
25N, and you want to remove small-length-scale features in order to define a swell in an
area extending from 27.5W to 20.5W and 12.5N to 19.5N, and you want the output value every
2 minute. Using cartesian distance calculations, you need:

gmt dimfilter cape_verde.nc -Gt.nc -Fm220 -Nl8 -D2 -R-27.5/-20.5/12.5/19.5 -I2m -V
gmt grdfilter t.nc -Gcape_swell.nc -Fg50 -D2 -V

Suppose that you found a range of filter widths for a given area, and you filtered the
given bathymetric data using the range of filter widths (e.g., f100.nc f110.nc f120.nc
f130.nc), and you want to define a regional trend using the range of filter widths, and
you want to obtain median absolute deviation (MAD) estimates at each data point. Then, you
will need to do:

gmt grd2xyz f100.nc -Z > f100.d
gmt grd2xyz f110.nc -Z > f110.d
gmt grd2xyz f120.nc -Z > f120.d
gmt grd2xyz f130.nc -Z > f130.d
paste f100.d f110.d f120.d f130.d > depths.d
gmt dimfilter depths.d -Q4 > output.z

LIMITATIONS


When working with geographic (lat, lon) grids, all three convolution filters (boxcar,
cosine arch, and gaussian) will properly normalize the filter weights for the variation in
gridbox size with latitude, and correctly determine which nodes are needed for the
convolution when the filter "circle" crosses a periodic (0-360) boundary or contains a
geographic pole. However, the spatial filters, such as median and mode filters, do not use
weights and thus should only be used on Cartesian grids (or at very low latitudes) only.
If you want to apply such spatial filters you should project your data to an equal-area
projection and run dimfilter on the resulting Cartesian grid.

SCRIPT TEMPLATE


The dim.template.sh is a skeleton shell script that can be used to set up a complete DiM
analysis, including the MAD analysis.

REFERENCE


Kim, S.-S., and Wessel, P. (2008), Directional Median Filtering for Regional-Residual
Separation of Bathymetry, Geochem. Geophys. Geosyst., 9, Q03005,
doi:10.1029/2007GC001850.

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