v.delaunay - GRASS manual
Author: GRASS Development Team
Description: v.delaunay: Creates a Delaunay triangulation from an input vector map containing points or centroids.
Keywords: vector, geometry, triangulation

## NAME

v.delaunay - Creates a Delaunay triangulation from an input vector map containing points or centroids.

## KEYWORDS

vector, geometry, triangulation

## SYNOPSIS

v.delaunay
v.delaunay --help
v.delaunay [-rl] input=name [layer=string] output=name [--overwrite] [--help] [--verbose] [--quiet] [--ui]

### Flags:

-r
  Use only points in current region
-l
  Output triangulation as a graph (lines), not areas
--overwrite
  Allow output files to overwrite existing files
--help
  Print usage summary
--verbose
  Verbose module output
--quiet
  Quiet module output
--ui
  Force launching GUI dialog

### Parameters:

input=name [required]
  Name of input vector map
  Or data source for direct OGR access
layer=string
  Layer number or name ('-1' for all layers)
  A single vector map can be connected to multiple database tables. This number determines which table to use. When used with direct OGR access this is the layer name.
  Default: -1
output=name [required]
  Name for output vector map

## DESCRIPTION

v.delaunay uses an existing vector points map (input) to create a Delaunay triangulation vector map (output).

Delaunay triangulation example (red-yellow points are the data points from which the triangulation was generated):

## EXAMPLE

Commands used with the North Carolina dataset to create the above figure (subset shown in figure).

    g.region n=220750 s=219950 w=638300 e=639000 -p
    v.delaunay input=elev_lid792_randpts output=elev_lid792_randpts_delaunay

## REFERENCES

Leonid Guibas and Jorge Stolfi, (1985). Primitives for the Manipulation of General Subdivisions and the Computation of Voronoi Diagrams, ACM Transactions on Graphics, Vol 4, No. 2, April 1985, Pages 74-123

## SEE ALSO

v.voronoi, v.hull

Delaunay triangulation (Wikipedia)

## AUTHORS

Martin Pavlovsky, Google Summer of Code 2008, Student
Paul Kelly, Mentor
Based on "dct" by Geoff Leach, Department of Computer Science, RMIT.

## SOURCE CODE

Available at: v.delaunay source code (history)

Latest change: Friday Apr 17 01:04:26 2026 in commit: 32a143358df26b2e518b03c7e0d79541e8d1e5b1

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