

 
Manual Reference Pages  SURFACE (1)
NAME
surface  adjustable tension continuous curvature surface gridding algorithm
CONTENTS
Synopsis
Description
Options
Grid Values Precision
Examples
Bugs
References
SYNOPSIS
surface [ xyzfile ] Goutputfile.grd Ixinc[unit][=+][/yinc[unit][=+]] Rwest/east/south/north[r] [ Aaspect_ratio ]
[ Cconvergence_limit ] [ H[i][nrec] ] [ Lllower ] [ Luupper ] [ Nmax_iterations ] [ Q ]
[ Ssearch_radius[m] ] [ Ttension_factor[ib] ] [ V[l] ]
[ Zoverrelaxation_factor ] [ :[io] ] [ bi[sSdD[ncol]c[var1/...]] ] [ fcolinfo ]
DESCRIPTION
surface reads randomlyspaced (x,y,z) triples from standard input [or xyzfile] and produces
a binary grid file of gridded values z(x,y) by solving:
(1  T) * L (L (z)) + T * L (z) = 0
where T is a tension factor between 0 and 1, and L indicates the Laplacian operator.
T = 0 gives the "minimum curvature" solution which is equivalent to SuperMISP and the ISM
packages. Minimum curvature can cause undesired oscillations and false local maxima or minima
(See Smith and Wessel, 1990), and you may wish to use T > 0 to suppress these effects.
Experience suggests T ~ 0.25 usually looks good for potential field data and T should be larger
(T ~ 0.35) for steep topography data. T = 1 gives a harmonic surface (no maxima or minima are
possible except at control data points). It is recommended that the user preprocess the data with
blockmean, blockmedian, or blockmode to avoid spatial aliasing and eliminate redundant data.
You may impose lower and/or upper bounds on the solution. These may be entered in the form of
a fixed value, a grid with values, or simply be the minimum/maximum input data values.

xyzfile
 
3 column ASCII file [or binary, see b] holding (x,y,z) data values. If no file is specified, surface will read from
standard input.

G

Output file name. Output is a binary 2D .grd file. Note that the smallest grid dimension must be at least 4.

I

x_inc [and optionally y_inc] is the grid spacing. Optionally, append a suffix
modifier. Geographical (degrees) coordinates: Append m to
indicate arc minutes or c to indicate arc seconds. If one of the units e, k, i,
or n is appended instead, the increment is assumed to be given in meter, km, miles, or
nautical miles, respectively, and will be converted to the equivalent degrees longitude at
the middle latitude of the region (the conversion depends on ELLIPSOID). If /y_inc is given but set to 0 it will be reset equal to
x_inc; otherwise it will be converted to degrees latitude.
All coordinates: If = is appended then
the corresponding max x (east) or y (north) may be slightly adjusted to fit exactly the given increment
[by default the increment may be adjusted slightly to fit the given domain]. Finally, instead
of giving an increment you may specify the number of nodes desired by appending + to
the supplied integer argument; the increment is then recalculated from the number of nodes and the domain.
The resulting increment value depends on whether you have selected a gridlineregistered
or pixelregistered grid; see Appendix B for details. Note: if Rgrdfile is used then
grid spacing has already been initialized; use I to override the values.

R

xmin, xmax, ymin, and ymax specify the Region of interest. For geographic
regions, these limits correspond to west, east, south, and north and you may specify them
in decimal degrees or in [+]dd:mm[:ss.xxx][WESN] format. Append r if lower left and upper right
map coordinates are given instead of w/e/s/n. The two shorthands Rg and Rd stand for global domain
(0/360 and 180/+180 in longitude respectively, with 90/+90 in latitude). Alternatively, specify the name
of an existing grid file and the R settings (and grid spacing, if applicable) are copied from the grid.
For calendar time coordinates you may either give (a) relative
time (relative to the selected TIME_EPOCH and in the selected TIME_UNIT; append t to
JXx), or (b) absolute time of the form [date]T[clock]
(append T to JXx). At least one of date and clock
must be present; the T is always required. The date string must be of the form []yyyy[mm[dd]]
(Gregorian calendar) or yyyy[Www[d]] (ISO week calendar), while the clock string must be of
the form hh:mm:ss[.xxx]. The use of delimiters and their type and positions must be exactly as indicated
(however, input, output and plot formats are customizable; see gmtdefaults).


OPTIONS
A

Aspect ratio. If desired, grid anisotropy can be added to the equations. Enter aspect_ratio,
where dy = dx / aspect_ratio relates the grid dimensions. [Default = 1 assumes isotropic grid.]

C

Convergence limit. Iteration is assumed to have converged when the maximum absolute change in
any grid value is less than convergence_limit. (Units same as data z units). [Default is scaled
to 0.1 percent of typical gradient in input data.]

H

Input file(s) has header record(s). If used, the default number of header records is N_HEADER_RECS.
Use Hi if only input data should have header records [Default will write out header records if the
input data have them]. Blank lines and lines starting with # are always skipped.
Not used with binary data.

L

Impose limits on the output solution. llower sets the lower bound. lower can be the name of a
grid file with lower bound values, a fixed value, d to set to minimum input value, or u for unconstrained [Default].
uupper sets the upper bound and can be the name of a
grid file with upper bound values, a fixed value, d to set to maximum input value, or u for unconstrained [Default].

N

Number of iterations. Iteration will cease when convergence_limit is reached or when number of
iterations reaches max_iterations. [Default is 250.]

Q

Suggest grid dimensions which have a highly composite greatest
common factor. This allows surface to use several intermediate steps in the
solution, yielding faster run times and better results. The sizes suggested by
Q can be achieved by altering R and/or I. You can
recover the R and I you want later by using grdsample or grdcut on the output of surface.

S

Search radius. Enter search_radius in same units as x,y data; append m to indicate minutes.
This is used to initialize the grid before the first iteration; it is not worth the time unless the
grid lattice is prime and cannot have regional stages. [Default = 0.0 and no search is made.]

T

Tension factor[s]. These must be between 0 and 1. Tension may be used in the interior solution
(above equation, where it suppresses spurious oscillations) and in the boundary conditions (where
it tends to flatten the solution approaching the edges). Using zero for both values results in
a minimum curvature surface with free edges, i.e., a natural bicubic spline.
Use Ttension_factori to set interior tension, and Ttension_factorb
to set boundary tension. If you do not append i or b, both will be set to the same value.
[Default = 0 for both gives minimum curvature solution.]

V

Selects verbose mode, which will send progress reports to stderr [Default runs "silently"].
Vl will report the convergence after each iteration; V will report only after
each regional grid is converged.

Z

Overrelaxation factor. This parameter is used to accelerate the convergence; it is a number between
1 and 2. A value of 1 iterates the equations exactly, and will always assure stable convergence. Larger
values overestimate the incremental changes during convergence, and will reach a solution more rapidly but may
become unstable. If you use a large value for this factor, it is a good idea to monitor each iteration
with the Vl option. [Default = 1.4 converges quickly and is almost always stable.]

:

Toggles between (longitude,latitude) and (latitude,longitude) input and/or output. [Default is (longitude,latitude)].
Append i to select input only or o to select output only. [Default affects both].

bi

Selects binary input.
Append s for single precision [Default is d (double)].
Uppercase S or D will force byteswapping.
Optionally, append ncol, the number of columns in your binary input file
if it exceeds the columns needed by the program.
Or append c if the input file is netCDF. Optionally, append var1/var2/... to
specify the variables to be read.
[Default is 3 input columns].

f

Special formatting of input and/or output columns (time or geographical data).
Specify i or o to make this apply only to input or output [Default applies to both].
Give one or more columns (or column ranges) separated by commas.
Append T (absolute calendar time), t (relative time in chosen TIME_UNIT since TIME_EPOCH),
x (longitude), y (latitude), or f (floating point) to each column
or column range item. Shorthand f[io]g means f[io]0x,1y
(geographic coordinates).


GRID VALUES PRECISION
Regardless of the precision of the input data, GMT programs that create
grid files will internally hold the grids in 4byte floating point
arrays. This is done to conserve memory and furthermore most if not all
real data can be stored using 4byte floating point values. Data with
higher precision (i.e., double precision values) will lose that precision
once GMT operates on the grid or writes out new grids. To limit loss
of precision when processing data you should always consider normalizing
the data prior to processing.
EXAMPLES
To grid 5 by 5 minute gravity block means from the ASCII data in hawaii_5x5.xyg, using a tension_factor = 0.25,
a convergence_limit = 0.1 milligal, writing the result to a file called hawaii_grd.grd,
and monitoring each iteration, try:
surface hawaii_5x5.xyg R 198/208/18/25 I 5m G hawaii_grd.grd T 0.25 C 0.1 Vl
BUGS
surface will complain when more than one data point is found for
any node and suggest that you run blockmean, blockmedian, or blockmode first. If you
did run blockm* and still get this message it usually means that your
grid spacing is so small that you need more decimals in the output format used by
blockm*. You may specify more decimal places by editing the
parameter D_FORMAT in your .gmtdefaults4 file prior to running blockm*,
or choose binary input and/or output using single or double precision storage.
Note that only gridline registration is possible with surface. If you need a pixelregistered
grid you can resample a gridline registered grid using grdsample T.
SEE ALSO
blockmean(1),
blockmedian(1),
blockmode(1),
GMT(1),
nearneighbor(1),
triangulate(1)
REFERENCES
Smith, W. H. F, and P. Wessel, 1990, Gridding with continuous curvature splines in tension, Geophysics,
55, 293305.
GMT 4.5.14  SURFACE (1)  1 Nov 2015 
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