# grdgradient (1) - Linux Manuals

## grdgradient: Compute directional derivative or gradient from a grid

## NAME

grdgradient - Compute directional derivative or gradient from a grid## SYNOPSIS

**grdgradient** *in_grdfile* *out_grdfile*
[ *azim*[/*azim2*] ] [ [**a**][**c**][**o**][**n**] ]
[ [**s|p**]*azim/elev*[/*ambient*/*diffuse*/*specular*/*shine*] ]
[ *flag* ]
[ [**e**][**t**][*amp*][/*sigma*[/*offset*]] ]
[ *region* ] [ *slopefile* ]
[ [*level*] ] [ **-fg** ]
[ **-n***<flags>* ]

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

## DESCRIPTION

**grdgradient** may be used to compute the directional derivative in a
given direction (**-A**), or the direction (**-S**) [and the magnitude
(**-D**)] of the vector gradient of the data.

Estimated values in the first/last row/column of output depend on
boundary conditions (see **-L**).

## REQUIRED ARGUMENTS

*in_grdfile*- 2-D grid file from which to compute directional derivative. (See GRID FILE FORMATS below).
**-G***out_grdfile*- Name of the output grid file for the directional derivative. (See GRID FILE FORMATS below).

## OPTIONAL ARGUMENTS

**-A***azim*[/*azim2*]-
Azimuthal direction for a directional derivative;
*azim*is the angle in the x,y plane measured in degrees positive clockwise from north (the +y direction) toward east (the +x direction). The negative of the directional derivative, -[dz/dx*sin(*azim*) + dz/dy*cos(*azim*)], is found; negation yields positive values when the slope of z(x,y) is downhill in the*azim*direction, the correct sense for shading the illumination of an image (see**grdimage**and**grdview**) by a light source above the x,y plane shining from the*azim*direction. Optionally, supply two azimuths,**-A***azim*/*azim2*, in which case the gradients in each of these directions are calculated and the one larger in magnitude is retained; this is useful for illuminating data with two directions of lineated structures, e.g.,**-A***0*/*270*illuminates from the north (top) and west (left). **-D**[**a**][**c**][**o**][**n**]-
Find the direction of the positive (up-slope) gradient of the data.
To instead find the aspect (the down-slope direction), use
**-Da**. By default, directions are measured clockwise from north, as*azim*in**-A**above. Append**c**to use conventional Cartesian angles measured counterclockwise from the positive x (east) direction. Append**o**to report orientations (0-180) rather than directions (0-360). Append**n**to add 90 degrees to all angles (e.g., to give local strikes of the surface ). **-E**[**s|p**]*azim/elev*[/*ambient*/*diffuse*/*specular*/*shine*]-
Compute Lambertian radiance appropriate to use with
**grdimage**and**grdview**. The Lambertian Reflection assumes an ideal surface that reflects all the light that strikes it and the surface appears equally bright from all viewing directions.*azim*and*elev*are the azimuth and elevation of light vector. Optionally, supply*ambient**diffuse**specular**shine*which are parameters that control the reflectance properties of the surface. Default values are:*0.55*/*0.6*/*0.4*/*10*To leave some of the values untouched, specify = as the new value. For example**-E***60*/*30*/*=*/*0.5*sets the*azim**elev*and*diffuse*to 60, 30 and 0.5 and leaves the other reflectance parameters untouched. Append**s**to use a simpler Lambertian algorithm. Note that with this form you only have to provide the azimuth and elevation parameters. Append**p**to use the Peucker piecewise linear approximation (simpler but faster algorithm; in this case the*azim*and*elev*are hardwired to 315 and 45 degrees. This means that even if you provide other values they will be ignored.) **-L***flag*-
Boundary condition
*flag*may be*x*or*y*or*xy*indicating data is periodic in range of x or y or both, or*flag*may be*g*indicating geographical conditions (x and y are lon and lat). [Default uses "natural" conditions (second partial derivative normal to edge is zero).] **-N**[**e**][**t**][*amp*][/*sigma*[/*offset*]]-
Normalization. [Default: no normalization.] The actual gradients
*g*are offset and scaled to produce normalized gradients*gn*with a maximum output magnitude of*amp*. If*amp*is not given, default*amp*= 1. If*offset*is not given, it is set to the average of*g*.**-N**yields*gn*=*amp** (*g*-*offset*)/max(abs(*g*-*offset*)).**-Ne**normalizes using a cumulative Laplace distribution yielding*gn*=*amp** (1.0 - exp(sqrt(2) * (*g*-*offset*)/*sigma*)) where*sigma*is estimated using the L1 norm of (*g*-*offset*) if it is not given.**-Nt**normalizes using a cumulative Cauchy distribution yielding*gn*= (2 **amp*/ PI) * atan( (*g*-*offset*)/*sigma*) where*sigma*is estimated using the L2 norm of (*g*-*offset*) if it is not given. **-R**[*unit*]*xmin*/*xmax*/*ymin*/*ymax*[**r**]*(more ...)*-
Specify the region of interest. Using the
**-R**option will select a subsection of*in_grdfile*grid. If this subsection exceeds the boundaries of the grid, only the common region will be extracted. **-S***slopefile*-
Name of output grid file with scalar magnitudes of gradient vectors.
Requires
**-D**but makes**-G**optional. **-V**[*level*]*(more ...)*- Select verbosity level [c].
**-fg**- Geographic grids (dimensions of longitude, latitude) will be converted to meters via a "Flat Earth" approximation using the current ellipsoid parameters.
**-n**[**b**|**c**|**l**|**n**][**+a**][**+b***BC*][**+c**][**+t***threshold*]*(more ...)*- Select interpolation mode for grids.
**-^**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 DISTANCE UNITS

If the grid does not have meter as the horizontal unit, append **+u***unit* to the input file name to convert from the
specified unit to meter. If your grid is geographic, convert distances to meters by supplying **-fg** instead.

## HINTS

If you don't know what **-N** options to use to make an intensity file
for **grdimage** or **grdview**, a good first try is **-Ne**0.6.

Usually 255 shades are more than enough for visualization purposes. You
can save 75% disk space by appending =nb/a to the output filename
*out_grdfile*.

If you want to make several illuminated maps of subregions of a large
data set, and you need the illumination effects to be consistent across
all the maps, use the **-N** option and supply the same value of *sigma*
and *offset* to **grdgradient** for each map. A good guess is *offset* =
0 and *sigma* found by **grdinfo** **-L2** or **-L1** applied to an
unnormalized gradient grd.

If you simply need the *x*- or *y*-derivatives of the grid, use **grdmath**.

## 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.

## EXAMPLES

To make a file for illuminating the data in geoid.nc using exp- normalized gradients in the range [-0.6,0.6] imitating light sources in the north and west directions:

gmt grdgradient geoid.nc -A0/270 -Ggradients.nc=nb/a -Ne0.6 -V

To find the azimuth orientations of seafloor fabric in the file topo.nc:

gmt grdgradient topo.nc -Dno -Gazimuths.nc -V

## REFERENCES

Horn, B.K.P., Hill-Shading and the Reflectance Map, Proceedings of the
IEEE, Vol. 69, No. 1, January 1981, pp. 14-47.
(*http://people.csail.mit.edu/bkph/papers/Hill-Shading.pdf*)

## COPYRIGHT

2015, P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis, and F. Wobbe