# delaunayn

Computes the ND Delaunay triangulation.

## Syntax

h = delaunayn(pts)

h = delaunayn(pts,options)

## Inputs

`pts`- The coordinate matrix.
`options`- The Qhull options. A string with options separated by spaces, or a cell of strings. Omit or use [] for the default. For no options, use an empty string.

## Outputs

- T
- Each row contains the indices of a simplex of the triangulation.

## Example

Triangulate the unit cube with the center point.

```
x = [0.5 0 1 0 1 0 1 0 1]';
y = [0.5 0 0 1 1 0 0 1 1]';
z = [0.5 0 0 0 0 1 1 1 1]';
T = delaunayn([x, y, z])
```

```
T = [Matrix] 12 x 4
1 6 4 2
1 8 6 4
1 7 9 3
1 5 9 3
1 5 9 4
1 8 9 4
1 7 9 6
1 8 9 6
1 6 3 2
1 7 6 3
1 4 3 2
1 5 4 3
```

## Comments

delaunayn uses the Qhull package. For details, see http://www.qhull.org/html/qh-quick.htm or http://www.qhull.org/html/qh-optq.htm

Using `options` overwrites the defaults, so the defaults must be repeated
if they are to be included.