## DESCRIPTION

v.hull computes the convex hull of a vector map and outputs the convex hull polygon as a vector area map. The convex hull, or convex envelope, for an object or a set of objects is the minimal convex set containing the given objects. This module creates a vector polygon containing all vector points or lines of the input map.

In the case of 3D input points, the hull will be a 3D hull as well, unless the user specifies the -f flag. The 3D hull will be composed of triangular faces.

Fig: Convex hull polygon created with v.hull

## NOTES

In order to use the where option the layer option must be set to a positive number (the default is '-1' for 'all layers'), otherwise all points from all layers will be used and the cats and where options will be ignored.

## EXAMPLE

Example of v.hull 3D output (using two random 3D point clouds, North Carolina sample data set):

    g.region rural_1m -p
    r.mapcalc "zero = 0"
    v.random -z output=random3d_a n=10 zmin=0 zmax=200
    v.random -z output=random3d_b n=15 zmin=400 zmax=600
    v.hull input=random3d_a output=random3d_a_hull
    v.hull input=random3d_b output=random3d_b_hull

    d.mon wx0
    d.vect random3d_a_hull
    d.vect random3d_a color=red

    d.vect random3d_b_hull
    d.vect random3d_b color=red

    # 3D view in wxGUI (g.gui)

Fig: Convex hull in 3D from 3D points created with v.hull

## REFERENCES

- M. de Berg, M. van Kreveld, M. Overmars, O. Schwarzkopf, (2000). Computational geometry, chapter 1.1, 2-8.
- J. O'Rourke, (1998). Computational Geometry in C (Second Edition), chapter 4.

## SEE ALSO

v.delaunay

## AUTHOR

Andrea Aime, Modena, Italy
Markus Neteler, ITC-irst (update to 5.7)
Benjamin Ducke, CAU Kiel (3D hull support)
Martin Landa, CTU in Prague, Czech Republic (vector lines support)

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