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Delaunay triangulation

Qhull-specific options are no longer supported. Remove the `OPTIONS`

argument
from all instances in your code that pass it to `delaunay`

.

`TRI = delaunay(X,Y)`

TRI = delaunay(X,Y,Z)

TRI = delaunay(X)

`TRI = delaunay(X,Y)`

creates
a 2-D Delaunay triangulation of the points (`X`

,`Y`

),
where `X`

and `Y`

are column-vectors. `TRI`

is
a matrix representing the set of triangles that make up the triangulation.
The matrix is of size `mtri`

-by-3, where `mtri`

is
the number of triangles. Each row of `TRI`

specifies
a triangle defined by indices with respect to the points.

`TRI = delaunay(X,Y,Z)`

creates
a 3-D Delaunay triangulation of the points (`X`

,`Y`

,`Z`

),
where `X`

, `Y`

, and `Z`

are
column-vectors. `TRI`

is a matrix representing the
set of tetrahedra that make up the triangulation. The matrix is of
size `mtri`

-by-4, where `mtri`

is
the number of tetrahedra. Each row of `TRI`

specifies
a tetrahedron defined by indices with respect to the points.

`TRI = delaunay(X)`

creates
a 2-D or 3-D Delaunay triangulation from the point coordinates `X`

.
This variant supports the definition of points in matrix format. `X`

is
of size `mpts`

-by-`ndim`

, where `mpts`

is
the number of points and `ndim`

is the dimension
of the space where the points reside, 2 ≦ `ndim`

≦
3. The output triangulation is equivalent to that of the dedicated
functions supporting the 2-input or 3-input calling syntax.

`delaunay`

produces an isolated triangulation,
useful for applications like plotting surfaces via the `trisurf`

function.
If you wish to query the triangulation; for example, to perform nearest
neighbor, point location, or topology queries, use `delaunayTriangulation`

instead.

Use one of these functions to plot the output of `delaunay`

:

Displays the triangles defined in the | |

Displays each triangle defined in the m-by-3 matrix TRI as a surface in 3-D space. To see a 2-D surface, you can supply a vector of some constant value for the third dimension. For example trisurf(TRI,x,y,zeros(size(x))) | |

Displays each triangle defined in the m-by-3 matrix TRI as a mesh in 3-D space. To see a 2-D surface, you can supply a vector of some constant value for the third dimension. For example, trimesh(TRI,x,y,zeros(size(x))) produces
almost the same result as | |

`tetramesh` | Plots a triangulation composed of tetrahedra. |

`delaunayTriangulation`

| `plot`

| `scatteredInterpolant`

| `trimesh`

| `triplot`

| `trisurf`