Description Usage Arguments Details Value Note Author(s) References See Also Examples

Returns an index matrix to the points of simplices (“triangles”) that form the smallest convex simplicial complex of a set of input points in N-dimensional space. This function interfaces the Qhull library.

1 |

`p` |
An |

`options` |
String containing extra options for the underlying Qhull command; see details below and Qhull documentation at http://www.qhull.org/html/qconvex.htm#synopsis. |

For slient operation, specify the option `Pp`

.

An `m`

-by-`dim`

index matrix of which each row
defines a `dim`

-dimensional “triangle”. The indices
refer to the rows in `p`

. If the option `FA`

is
provided, then the output is a `list`

with entries
`hull`

containing the matrix mentioned above, and `area`

and `vol`

with the generalised area and volume of the hull
described by the matrix. When applying convhulln to a 3D object,
these have the conventional meanings: `vol`

is the volume of
enclosed by the hull and `area`

is the total area of the
facets comprising the hull's surface. However, in 2D the facets of
the hull are the lines of the perimeter. Thus `area`

is the
length of the perimeter and `vol`

is the area enclosed.

This is a port of the Octave's (http://www.octave.org) geometry library. The Octave source was written by Kai Habel.

See further notes in `delaunayn`

.

Raoul Grasman, Robert B. Gramacy and David Sterratt [email protected]

Barber, C.B., Dobkin, D.P., and Huhdanpaa, H.T.,
“The Quickhull algorithm for convex hulls,” *ACM Trans. on
Mathematical Software,* Dec 1996.

`convex.hull`

, `delaunayn`

,
`surf.tri`

, `distmesh2d`

1 2 3 4 5 6 7 8 9 10 | ```
# example convhulln
# ==> see also surf.tri to avoid unwanted messages printed to the console by qhull
ps <- matrix(rnorm(3000), ncol=3) # generate points on a sphere
ps <- sqrt(3)*ps/drop(sqrt((ps^2) %*% rep(1, 3)))
ts.surf <- t(convhulln(ps)) # see the qhull documentations for the options
## Not run:
rgl.triangles(ps[ts.surf,1],ps[ts.surf,2],ps[ts.surf,3],col="blue",alpha=.2)
for(i in 1:(8*360)) rgl.viewpoint(i/8)
## End(Not run)
``` |

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