SPHTRIANGULATE(1) Generic Mapping Tools SPHTRIANGULATE(1)NAMEsphtriangulate - Perform optimal Delaunay triangulation or Voronoi con‐
struction of spherical data
SYNOPSISsphtriangulate infiles [ -A ] [ -C ] [ -D ] [ -H[i][nrec] ] [ -Lunit ]
[ -Nnfile ] [ -Qd|v ] [ -T ] [ -V ] [ -:[i|o] ] [
-b[i|o][s|S|d|D[ncol]|c[var1/...]] ] [ -m[i|o][flag] ]
DESCRIPTIONsphtriangulate reads one or more ASCII [or binary] files (or standard
input) containing lon, lat and performs a spherical Delaunay triangula‐
tion, i.e., it find how the points should be connected to give the most
equilateral triangulation possible on the sphere. Optionally, you may
choose -Qv which will do further processing to obtain the Voronoi poly‐
gons. Normally, either set of polygons will be written as fillable
multi-segment output; use -T to write unique arcs instead. As an
option, compute the area of each triangle or polygon. The algorithm
used is STRIPACK.
infiles
Data files with the point coordinates in ASCII (or binary; see
-b). If no files are given the standard input is read.
OPTIONS-A Compute the area of the spherical triangles (-Qd) or polygons
(-Qv) and write the areas (in chosen units; see -L) in the mul‐
tisegment output headers [no areas calculated].
-C For large data set you can save some memory (at the expense of
more processing) by only storing one form of location coordi‐
nates (geographic or Cartesian 3-D vectors) at any given time,
translating from one form to the other when necessary [Default
keeps both arrays in memory].
-D Used with -m to skip the last (repeated) input vertex at the end
of a closed segment if it equals the first point in the segment.
Requires -m [Default uses all points].
-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.
-L Specify the unit used for distance and area calculations.
Choose among e (m), k (km), m (mile), n (nautical mile), or d
(spherical degree). A spherical approximation is used unless
ELLIPSOID is set to an actual ellipsoid. When degree is
selected the areas are given in steradians.
-N Write the information pertaining to each polygon (for Delaunay:
the three node number and the triangle area; for Voronoi the
unique node lon, lat and polygon area) to a separate file
[Default puts this information in the segment headers of the
output file]. Required if binary output is needed.
-Q Select between BD(d)elaunay or BD(v)oronoi mode [Delaunay].
-T Write the unique arcs of the construction [Default writes fill‐
able triangles or polygons]. When used with -A we store arc
length in the segment header in chosen unit (see -L).
-V Selects verbose mode, which will send progress reports to stderr
[Default runs "silently"].
-: 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 byte-swapping.
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
2 input columns].
-bo Selects binary output. Append s for single precision [Default
is d (double)]. Uppercase S or D will force byte-swapping.
Optionally, append ncol, the number of desired columns in your
binary output file. [Default is same as input].
-m Multiple segment file(s). Segments are separated by a special
record. For ASCII files the first character must be flag
[Default is '>']. For binary files all fields must be NaN and
-b must set the number of output columns explicitly. By default
the -m setting applies to both input and output. Use -mi and
-mo to give separate settings to input and output.
ASCII FORMAT PRECISION
The ASCII output formats of numerical data are controlled by parameters
in your .gmtdefaults4 file. Longitude and latitude are formatted
according to OUTPUT_DEGREE_FORMAT, whereas other values are formatted
according to D_FORMAT. Be aware that the format in effect can lead to
loss of precision in the output, which can lead to various problems
downstream. If you find the output is not written with enough preci‐
sion, consider switching to binary output (-bo if available) or specify
more decimals using the D_FORMAT setting.
GRID VALUES PRECISION
Regardless of the precision of the input data, GMT programs that create
grid files will internally hold the grids in 4-byte floating point
arrays. This is done to conserve memory and furthermore most if not
all real data can be stored using 4-byte 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 triangulate the points in the file testdata.txt, and make a Voronoi
diagram via psxy, use
sphtriangulate testdata.txt -Qv | psxy -Rg -JG30/30/6i -M-L-P-W1p
-B0g30 | gv -
To compute the optimal Delaunay triangulation network based on the mul‐
tiple segment file globalnodes.d and save the area of each triangle in
the header record, try
sphtriangulate globalnodes.d -M -Qd -A > global_tri.d
SEE ALSOGMT(1), triangulate(1)sphinterpolate(1)sphdistance(1)REFERENCES
Renka, R, J., 1997, Algorithm 772: STRIPACK: Delaunay Triangulation and
Voronoi Diagram on the Surface of a Sphere, AMC Trans. Math. Software,
23 (3), 416-434.
GMT 4.5.14 1 Nov 2015 SPHTRIANGULATE(1)
